def main():
logmgr = LogManager("mylog.dat", "w") # , comm=...
# set a run property
logmgr.set_constant("myconst", uniform(0, 1))
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
logmgr.add_quantity(Fifteen("fifteen"))
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
for istep in range(200):
logmgr.tick_before()
dt = uniform(0.01, 0.1)
set_dt(logmgr, dt)
sleep(dt)
# Illustrate custom timers
if istep % 10 == 0:
with vis_timer.start_sub_timer():
sleep(0.05)
# Illustrate warnings capture
if uniform(0, 1) < 0.05:
warn("Oof. Something went awry.")
logmgr.tick_after()
logmgr.close()
def main(write_output=True):
from pytools import add_python_path_relative_to_script
add_python_path_relative_to_script("..")
from hedge.backends import guess_run_context
rcon = guess_run_context()
from hedge.tools import EOCRecorder
eoc_rec = EOCRecorder()
if rcon.is_head_rank:
from hedge.mesh.generator import \
make_rect_mesh, \
make_centered_regular_rect_mesh
refine = 4
mesh = make_centered_regular_rect_mesh((0, -5), (10, 5),
n=(9, 9),
post_refine_factor=refine)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [3, 4, 5]:
from gas_dynamics_initials import Vortex
flow = Vortex()
from hedge.models.gas_dynamics import (GasDynamicsOperator,
PolytropeEOS, GammaLawEOS)
from hedge.mesh import TAG_ALL
# works equally well for GammaLawEOS
op = GasDynamicsOperator(dimensions=2,
mu=flow.mu,
prandtl=flow.prandtl,
spec_gas_const=flow.spec_gas_const,
equation_of_state=PolytropeEOS(flow.gamma),
bc_inflow=flow,
bc_outflow=flow,
bc_noslip=flow,
inflow_tag=TAG_ALL,
source=None)
discr = rcon.make_discretization(mesh_data,
order=order,
default_scalar_type=numpy.float64,
quad_min_degrees={
"gasdyn_vol": 3 * order,
"gasdyn_face": 3 * order,
},
tune_for=op.op_template(),
debug=["cuda_no_plan"])
from hedge.visualization import SiloVisualizer, VtkVisualizer
vis = VtkVisualizer(discr, rcon, "vortex-%d" % order)
#vis = SiloVisualizer(discr, rcon)
fields = flow.volume_interpolant(0, discr)
euler_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = euler_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
# limiter ------------------------------------------------------------
from hedge.models.gas_dynamics import SlopeLimiter1NEuler
limiter = SlopeLimiter1NEuler(discr, flow.gamma, 2, op)
from hedge.timestep.runge_kutta import SSP3TimeStepper
#stepper = SSP3TimeStepper(limiter=limiter)
stepper = SSP3TimeStepper(
vector_primitive_factory=discr.get_vector_primitive_factory())
#from hedge.timestep import RK4TimeStepper
#stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = "euler-%d.dat" % order
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -------------------------------------------------------
try:
final_time = flow.final_time
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=final_time,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
print "run until t=%g" % final_time
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
#if False:
visf = vis.make_file("vortex-%d-%04d" % (order, step))
#true_fields = vortex.volume_interpolant(t, discr)
from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(
visf,
[
("rho",
discr.convert_volume(op.rho(fields),
kind="numpy")),
("e",
discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u",
discr.convert_volume(op.rho_u(fields),
kind="numpy")),
("u",
discr.convert_volume(op.u(fields), kind="numpy")),
#("true_rho", discr.convert_volume(op.rho(true_fields), kind="numpy")),
#("true_e", discr.convert_volume(op.e(true_fields), kind="numpy")),
#("true_rho_u", discr.convert_volume(op.rho_u(true_fields), kind="numpy")),
#("true_u", discr.convert_volume(op.u(true_fields), kind="numpy")),
#("rhs_rho", discr.convert_volume(op.rho(rhs_fields), kind="numpy")),
#("rhs_e", discr.convert_volume(op.e(rhs_fields), kind="numpy")),
#("rhs_rho_u", discr.convert_volume(op.rho_u(rhs_fields), kind="numpy")),
],
#expressions=[
#("diff_rho", "rho-true_rho"),
#("diff_e", "e-true_e"),
#("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
#("p", "0.4*(e- 0.5*(rho_u*u))"),
#],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
#fields = limiter(fields)
assert not numpy.isnan(numpy.sum(fields[0]))
true_fields = flow.volume_interpolant(final_time, discr)
l2_error = discr.norm(fields - true_fields)
l2_error_rho = discr.norm(op.rho(fields) - op.rho(true_fields))
l2_error_e = discr.norm(op.e(fields) - op.e(true_fields))
l2_error_rhou = discr.norm(
op.rho_u(fields) - op.rho_u(true_fields))
l2_error_u = discr.norm(op.u(fields) - op.u(true_fields))
eoc_rec.add_data_point(order, l2_error)
print
print eoc_rec.pretty_print("P.Deg.", "L2 Error")
logmgr.set_constant("l2_error", l2_error)
logmgr.set_constant("l2_error_rho", l2_error_rho)
logmgr.set_constant("l2_error_e", l2_error_e)
logmgr.set_constant("l2_error_rhou", l2_error_rhou)
logmgr.set_constant("l2_error_u", l2_error_u)
logmgr.set_constant("refinement", refine)
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
# after order loop
assert eoc_rec.estimate_order_of_convergence()[0, 1] > 6
def main():
from hedge.backends import guess_run_context
rcon = guess_run_context(["cuda"])
if rcon.is_head_rank:
mesh = make_boxmesh()
#from hedge.mesh import make_rect_mesh
#mesh = make_rect_mesh(
# boundary_tagger=lambda fvi, el, fn, all_v: ["inflow"])
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [3]:
from pytools import add_python_path_relative_to_script
add_python_path_relative_to_script("..")
from gas_dynamics_initials import UniformMachFlow
box = UniformMachFlow(angle_of_attack=0)
from hedge.models.gas_dynamics import GasDynamicsOperator
op = GasDynamicsOperator(dimensions=3,
gamma=box.gamma, mu=box.mu,
prandtl=box.prandtl, spec_gas_const=box.spec_gas_const,
bc_inflow=box, bc_outflow=box, bc_noslip=box,
inflow_tag="inflow", outflow_tag="outflow", noslip_tag="noslip")
discr = rcon.make_discretization(mesh_data, order=order,
debug=[
#"cuda_no_plan",
#"cuda_dump_kernels",
#"dump_dataflow_graph",
#"dump_optemplate_stages",
#"dump_dataflow_graph",
#"print_op_code",
"cuda_no_plan_el_local",
],
default_scalar_type=numpy.float32,
tune_for=op.op_template())
from hedge.visualization import SiloVisualizer, VtkVisualizer # noqa
#vis = VtkVisualizer(discr, rcon, "shearflow-%d" % order)
vis = SiloVisualizer(discr, rcon)
fields = box.volume_interpolant(0, discr)
navierstokes_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = navierstokes_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
from hedge.timestep import RK4TimeStepper
stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
logmgr = LogManager("navierstokes-%d.dat" % order, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
from pytools.log import LogQuantity
class ChangeSinceLastStep(LogQuantity):
"""Records the change of a variable between a time step and the previous
one"""
def __init__(self, name="change"):
LogQuantity.__init__(self, name, "1", "Change since last time step")
self.old_fields = 0
def __call__(self):
result = discr.norm(fields - self.old_fields)
self.old_fields = fields
return result
logmgr.add_quantity(ChangeSinceLastStep())
# timestep loop -------------------------------------------------------
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=200,
#max_steps=500,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
for step, t, dt in step_it:
if step % 200 == 0:
#if False:
visf = vis.make_file("box-%d-%06d" % (order, step))
#rhs_fields = rhs(t, fields)
vis.add_data(visf,
[
("rho", discr.convert_volume(
op.rho(fields), kind="numpy")),
("e", discr.convert_volume(
op.e(fields), kind="numpy")),
("rho_u", discr.convert_volume(
op.rho_u(fields), kind="numpy")),
("u", discr.convert_volume(
op.u(fields), kind="numpy")),
# ("rhs_rho", discr.convert_volume(
# op.rho(rhs_fields), kind="numpy")),
# ("rhs_e", discr.convert_volume(
# op.e(rhs_fields), kind="numpy")),
# ("rhs_rho_u", discr.convert_volume(
# op.rho_u(rhs_fields), kind="numpy")),
],
expressions=[
("p", "(0.4)*(e- 0.5*(rho_u*u))"),
],
time=t, step=step
)
visf.close()
fields = stepper(fields, t, dt, rhs)
finally:
vis.close()
logmgr.save()
discr.close()
def main(write_output=True):
from pytools import add_python_path_relative_to_script
add_python_path_relative_to_script("..")
from hedge.backends import guess_run_context
rcon = guess_run_context()
from hedge.tools import EOCRecorder
eoc_rec = EOCRecorder()
if rcon.is_head_rank:
from hedge.mesh.generator import \
make_rect_mesh, \
make_centered_regular_rect_mesh
refine = 4
mesh = make_centered_regular_rect_mesh((0,-5), (10,5), n=(9,9),
post_refine_factor=refine)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
# a second mesh to regrid to
if rcon.is_head_rank:
from hedge.mesh.generator import \
make_rect_mesh, \
make_centered_regular_rect_mesh
refine = 4
mesh2 = make_centered_regular_rect_mesh((0,-5), (10,5), n=(8,8),
post_refine_factor=refine)
mesh_data2 = rcon.distribute_mesh(mesh2)
else:
mesh_data2 = rcon.receive_mesh()
for order in [3,4]:
discr = rcon.make_discretization(mesh_data, order=order,
default_scalar_type=numpy.float64,
quad_min_degrees={
"gasdyn_vol": 3*order,
"gasdyn_face": 3*order,
})
discr2 = rcon.make_discretization(mesh_data2, order=order,
default_scalar_type=numpy.float64,
quad_min_degrees={
"gasdyn_vol": 3*order,
"gasdyn_face": 3*order,
})
from hedge.visualization import SiloVisualizer, VtkVisualizer
vis = VtkVisualizer(discr, rcon, "vortex-%d" % order)
#vis = SiloVisualizer(discr, rcon)
from gas_dynamics_initials import Vortex
vortex = Vortex()
fields = vortex.volume_interpolant(0, discr)
from hedge.models.gas_dynamics import GasDynamicsOperator
from hedge.mesh import TAG_ALL
op = GasDynamicsOperator(dimensions=2, gamma=vortex.gamma, mu=vortex.mu,
prandtl=vortex.prandtl, spec_gas_const=vortex.spec_gas_const,
bc_inflow=vortex, bc_outflow=vortex, bc_noslip=vortex,
inflow_tag=TAG_ALL, source=None)
euler_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = euler_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements for mesh 1 =", len(mesh.elements)
print "#elements for mesh 2 =", len(mesh2.elements)
# limiter ------------------------------------------------------------
from hedge.models.gas_dynamics import SlopeLimiter1NEuler
limiter = SlopeLimiter1NEuler(discr, vortex.gamma, 2, op)
from hedge.timestep import SSPRK3TimeStepper
#stepper = SSPRK3TimeStepper(limiter=limiter)
stepper = SSPRK3TimeStepper()
#from hedge.timestep import RK4TimeStepper
#stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = "euler-%d.dat" % order
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -------------------------------------------------------
try:
final_time = 0.2
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=final_time, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
#if False:
visf = vis.make_file("vortex-%d-%04d" % (order, step))
#true_fields = vortex.volume_interpolant(t, discr)
from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(visf,
[
("rho", discr.convert_volume(op.rho(fields), kind="numpy")),
("e", discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u", discr.convert_volume(op.rho_u(fields), kind="numpy")),
("u", discr.convert_volume(op.u(fields), kind="numpy")),
#("true_rho", discr.convert_volume(op.rho(true_fields), kind="numpy")),
#("true_e", discr.convert_volume(op.e(true_fields), kind="numpy")),
#("true_rho_u", discr.convert_volume(op.rho_u(true_fields), kind="numpy")),
#("true_u", discr.convert_volume(op.u(true_fields), kind="numpy")),
#("rhs_rho", discr.convert_volume(op.rho(rhs_fields), kind="numpy")),
#("rhs_e", discr.convert_volume(op.e(rhs_fields), kind="numpy")),
#("rhs_rho_u", discr.convert_volume(op.rho_u(rhs_fields), kind="numpy")),
],
#expressions=[
#("diff_rho", "rho-true_rho"),
#("diff_e", "e-true_e"),
#("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
#("p", "0.4*(e- 0.5*(rho_u*u))"),
#],
time=t, step=step
)
visf.close()
fields = stepper(fields, t, dt, rhs)
#fields = limiter(fields)
#regrid to discr2 at some arbitrary time
if step == 21:
#get interpolated fields
fields = discr.get_regrid_values(fields, discr2, dtype=None, use_btree=True, thresh=1e-8)
#get new stepper (old one has reference to discr
stepper = SSPRK3TimeStepper()
#new bind
euler_ex = op.bind(discr2)
#new rhs
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = euler_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(t+dt, fields)
#add logmanager
#discr2.add_instrumentation(logmgr)
#new step_it
step_it = times_and_steps(
final_time=final_time, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr2,
stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
#new visualization
vis.close()
vis = VtkVisualizer(discr2, rcon, "vortexNewGrid-%d" % order)
discr=discr2
assert not numpy.isnan(numpy.sum(fields[0]))
true_fields = vortex.volume_interpolant(final_time, discr)
l2_error = discr.norm(fields-true_fields)
l2_error_rho = discr.norm(op.rho(fields)-op.rho(true_fields))
l2_error_e = discr.norm(op.e(fields)-op.e(true_fields))
l2_error_rhou = discr.norm(op.rho_u(fields)-op.rho_u(true_fields))
l2_error_u = discr.norm(op.u(fields)-op.u(true_fields))
eoc_rec.add_data_point(order, l2_error)
print
print eoc_rec.pretty_print("P.Deg.", "L2 Error")
logmgr.set_constant("l2_error", l2_error)
logmgr.set_constant("l2_error_rho", l2_error_rho)
logmgr.set_constant("l2_error_e", l2_error_e)
logmgr.set_constant("l2_error_rhou", l2_error_rhou)
logmgr.set_constant("l2_error_u", l2_error_u)
logmgr.set_constant("refinement", refine)
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True, \
dir_tag=TAG_NONE, \
neu_tag=TAG_NONE,\
rad_tag=TAG_ALL,
flux_type_arg="upwind"):
from math import sin, cos, pi, exp, sqrt
from hedge.backends import guess_run_context
rcon = guess_run_context()
dim = 2
if dim == 1:
if rcon.is_head_rank:
from hedge.mesh.generator import make_uniform_1d_mesh
mesh = make_uniform_1d_mesh(-10, 10, 500)
elif dim == 2:
from hedge.mesh.generator import make_rect_mesh
if rcon.is_head_rank:
mesh = make_rect_mesh(a=(-1,-1),b=(1,1),max_area=0.003)
elif dim == 3:
if rcon.is_head_rank:
from hedge.mesh.generator import make_ball_mesh
mesh = make_ball_mesh(max_volume=0.0005)
else:
raise RuntimeError, "bad number of dimensions"
if rcon.is_head_rank:
print "%d elements" % len(mesh.elements)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
discr = rcon.make_discretization(mesh_data, order=4)
from hedge.timestep import RK4TimeStepper
stepper = RK4TimeStepper()
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "fld")
def source_u(x, el):
x = x - numpy.array([0.7, 0.4])
return exp(-numpy.dot(x, x)*256)
def c_speed(x, el):
if la.norm(x) < 0.4:
return 1
else:
return 0.5
from hedge.models.wave import VariableVelocityStrongWaveOperator
from hedge.data import \
TimeIntervalGivenFunction, \
make_tdep_given
from hedge.mesh import TAG_ALL, TAG_NONE
op = VariableVelocityStrongWaveOperator(
make_tdep_given(c_speed),
discr.dimensions,
source=TimeIntervalGivenFunction(
make_tdep_given(source_u),
0, 0.1),
dirichlet_tag=dir_tag,
neumann_tag=neu_tag,
radiation_tag=rad_tag,
flux_type=flux_type_arg
)
from hedge.tools import join_fields
fields = join_fields(discr.volume_zeros(),
[discr.volume_zeros() for i in range(discr.dimensions)])
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "wave.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
stepper.add_instrumentation(logmgr)
from hedge.log import Integral, LpNorm
u_getter = lambda: fields[0]
logmgr.add_quantity(LpNorm(u_getter, discr, 1, name="l1_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])
# timestep loop -----------------------------------------------------------
rhs = op.bind(discr)
try:
dt = op.estimate_timestep(discr, stepper=stepper, fields=fields)
if flux_type_arg == "central":
dt *= 0.25
from hedge.timestep import times_and_steps
step_it = times_and_steps(final_time=3, logmgr=logmgr,
max_dt_getter=lambda t: dt)
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf,
[
("u", fields[0]),
("v", fields[1:]),
("c", op.c.volume_interpolant(0, discr)),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
assert discr.norm(fields) < 1
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True):
from hedge.timestep.runge_kutta import LSRK4TimeStepper
from math import sqrt, pi, exp
from hedge.backends import guess_run_context
rcon = guess_run_context()
epsilon0 = 8.8541878176e-12 # C**2 / (N m**2)
mu0 = 4 * pi * 1e-7 # N/A**2.
epsilon = 1 * epsilon0
mu = 1 * mu0
c = 1 / sqrt(mu * epsilon)
pml_width = 0.5
#mesh = make_mesh(a=np.array((-1,-1,-1)), b=np.array((1,1,1)),
#mesh = make_mesh(a=np.array((-3,-3)), b=np.array((3,3)),
mesh = make_mesh(
a=np.array((-1, -1)),
b=np.array((1, 1)),
#mesh = make_mesh(a=np.array((-2,-2)), b=np.array((2,2)),
pml_width=pml_width,
max_volume=0.01)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
class Current:
def volume_interpolant(self, t, discr):
from hedge.tools import make_obj_array
result = discr.volume_zeros(kind="numpy", dtype=np.float64)
omega = 6 * c
if omega * t > 2 * pi:
return make_obj_array([result, result, result])
x = make_obj_array(discr.nodes.T)
r = np.sqrt(np.dot(x, x))
idx = r < 0.3
result[idx] = (1+np.cos(pi*r/0.3))[idx] \
*np.sin(omega*t)**3
result = discr.convert_volume(result,
kind=discr.compute_kind,
dtype=discr.default_scalar_type)
return make_obj_array([-result, result, result])
order = 3
discr = rcon.make_discretization(mesh_data,
order=order,
debug=["cuda_no_plan"])
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "em-%d" % order)
from hedge.mesh import TAG_ALL, TAG_NONE
from hedge.data import GivenFunction, TimeHarmonicGivenFunction, TimeIntervalGivenFunction
from hedge.models.em import MaxwellOperator
from hedge.models.pml import \
AbarbanelGottliebPMLMaxwellOperator, \
AbarbanelGottliebPMLTMMaxwellOperator, \
AbarbanelGottliebPMLTEMaxwellOperator
op = AbarbanelGottliebPMLTEMaxwellOperator(epsilon,
mu,
flux_type=1,
current=Current(),
pec_tag=TAG_ALL,
absorb_tag=TAG_NONE,
add_decay=True)
fields = op.assemble_ehpq(discr=discr)
stepper = LSRK4TimeStepper()
if rcon.is_head_rank:
print "order %d" % order
print "#elements=", len(mesh.elements)
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = "maxwell-%d.dat" % order
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
from hedge.log import EMFieldGetter, add_em_quantities
field_getter = EMFieldGetter(discr, op, lambda: fields)
add_em_quantities(logmgr, op, field_getter)
logmgr.add_watches(
["step.max", "t_sim.max", ("W_field", "W_el+W_mag"), "t_step.max"])
from hedge.log import LpNorm
class FieldIdxGetter:
def __init__(self, whole_getter, idx):
self.whole_getter = whole_getter
self.idx = idx
def __call__(self):
return self.whole_getter()[self.idx]
# timestep loop -------------------------------------------------------
t = 0
pml_coeff = op.coefficients_from_width(discr, width=pml_width)
rhs = op.bind(discr, pml_coeff)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=4 / c,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
e, h, p, q = op.split_ehpq(fields)
visf = vis.make_file("em-%d-%04d" % (order, step))
#pml_rhs_e, pml_rhs_h, pml_rhs_p, pml_rhs_q = \
#op.split_ehpq(rhs(t, fields))
j = Current().volume_interpolant(t, discr)
vis.add_data(
visf,
[
("e", discr.convert_volume(e, "numpy")),
("h", discr.convert_volume(h, "numpy")),
("p", discr.convert_volume(p, "numpy")),
("q", discr.convert_volume(q, "numpy")),
("j", discr.convert_volume(j, "numpy")),
#("pml_rhs_e", pml_rhs_e),
#("pml_rhs_h", pml_rhs_h),
#("pml_rhs_p", pml_rhs_p),
#("pml_rhs_q", pml_rhs_q),
#("max_rhs_e", max_rhs_e),
#("max_rhs_h", max_rhs_h),
#("max_rhs_p", max_rhs_p),
#("max_rhs_q", max_rhs_q),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
_, _, energies_data = logmgr.get_expr_dataset("W_el+W_mag")
energies = [value for tick_nbr, value in energies_data]
assert energies[-1] < max(energies) * 1e-2
finally:
logmgr.close()
if write_output:
vis.close()
def main(write_output=True):
from hedge.timestep import RK4TimeStepper
from hedge.mesh import make_disk_mesh
from math import sqrt, pi, exp
from hedge.backends import guess_run_context, FEAT_CUDA
rcon = guess_run_context()
epsilon0 = 8.8541878176e-12 # C**2 / (N m**2)
mu0 = 4*pi*1e-7 # N/A**2.
epsilon = 1*epsilon0
mu = 1*mu0
c = 1/sqrt(mu*epsilon)
cylindrical = False
periodic = False
pml_width = 0.5
#mesh = make_mesh(a=numpy.array((-1,-1,-1)), b=numpy.array((1,1,1)),
#mesh = make_mesh(a=numpy.array((-3,-3)), b=numpy.array((3,3)),
mesh = make_mesh(a=numpy.array((-1,-1)), b=numpy.array((1,1)),
#mesh = make_mesh(a=numpy.array((-2,-2)), b=numpy.array((2,2)),
pml_width=pml_width, max_volume=0.01)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
class Current:
def volume_interpolant(self, t, discr):
from hedge.tools import make_obj_array
result = discr.volume_zeros(kind="numpy", dtype=numpy.float64)
omega = 6*c
if omega*t > 2*pi:
return make_obj_array([result, result, result])
x = make_obj_array(discr.nodes.T)
r = numpy.sqrt(numpy.dot(x, x))
idx = r<0.3
result[idx] = (1+numpy.cos(pi*r/0.3))[idx] \
*numpy.sin(omega*t)**3
result = discr.convert_volume(result, kind=discr.compute_kind,
dtype=discr.default_scalar_type)
return make_obj_array([-result, result, result])
order = 3
discr = rcon.make_discretization(mesh_data, order=order,
debug=["cuda_no_plan"])
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "em-%d" % order)
from hedge.mesh import TAG_ALL, TAG_NONE
from hedge.data import GivenFunction, TimeHarmonicGivenFunction, TimeIntervalGivenFunction
from hedge.models.em import MaxwellOperator
from hedge.models.pml import \
AbarbanelGottliebPMLMaxwellOperator, \
AbarbanelGottliebPMLTMMaxwellOperator, \
AbarbanelGottliebPMLTEMaxwellOperator
op = AbarbanelGottliebPMLTEMaxwellOperator(epsilon, mu, flux_type=1,
current=Current(),
pec_tag=TAG_ALL,
absorb_tag=TAG_NONE,
add_decay=True
)
fields = op.assemble_ehpq(discr=discr)
stepper = RK4TimeStepper()
if rcon.is_head_rank:
print "order %d" % order
print "#elements=", len(mesh.elements)
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = "maxwell-%d.dat" % order
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
from hedge.log import EMFieldGetter, add_em_quantities
field_getter = EMFieldGetter(discr, op, lambda: fields)
add_em_quantities(logmgr, op, field_getter)
logmgr.add_watches(["step.max", "t_sim.max", ("W_field", "W_el+W_mag"), "t_step.max"])
from hedge.log import LpNorm
class FieldIdxGetter:
def __init__(self, whole_getter, idx):
self.whole_getter = whole_getter
self.idx = idx
def __call__(self):
return self.whole_getter()[self.idx]
# timestep loop -------------------------------------------------------
t = 0
pml_coeff = op.coefficients_from_width(discr, width=pml_width)
rhs = op.bind(discr, pml_coeff)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=4/c, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
e, h, p, q = op.split_ehpq(fields)
visf = vis.make_file("em-%d-%04d" % (order, step))
#pml_rhs_e, pml_rhs_h, pml_rhs_p, pml_rhs_q = \
#op.split_ehpq(rhs(t, fields))
j = Current().volume_interpolant(t, discr)
vis.add_data(visf, [
("e", discr.convert_volume(e, "numpy")),
("h", discr.convert_volume(h, "numpy")),
("p", discr.convert_volume(p, "numpy")),
("q", discr.convert_volume(q, "numpy")),
("j", discr.convert_volume(j, "numpy")),
#("pml_rhs_e", pml_rhs_e),
#("pml_rhs_h", pml_rhs_h),
#("pml_rhs_p", pml_rhs_p),
#("pml_rhs_q", pml_rhs_q),
#("max_rhs_e", max_rhs_e),
#("max_rhs_h", max_rhs_h),
#("max_rhs_p", max_rhs_p),
#("max_rhs_q", max_rhs_q),
],
time=t, step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
_, _, energies_data = logmgr.get_expr_dataset("W_el+W_mag")
energies = [value for tick_nbr, value in energies_data]
assert energies[-1] < max(energies) * 1e-2
finally:
logmgr.close()
if write_output:
vis.close()
def main(write_output=True):
from math import sqrt, pi, exp
from os.path import join
from hedge.backends import guess_run_context
rcon = guess_run_context()
epsilon0 = 8.8541878176e-12 # C**2 / (N m**2)
mu0 = 4*pi*1e-7 # N/A**2.
epsilon = 1*epsilon0
mu = 1*mu0
output_dir = "maxwell-2d"
import os
if not os.access(output_dir, os.F_OK):
os.makedirs(output_dir)
from hedge.mesh.generator import make_disk_mesh
mesh = make_disk_mesh(r=0.5, max_area=1e-3)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
class CurrentSource:
shape = (3,)
def __call__(self, x, el):
return [0,0,exp(-80*la.norm(x))]
order = 3
final_time = 1e-8
discr = rcon.make_discretization(mesh_data, order=order,
debug=["cuda_no_plan"])
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, join(output_dir, "em-%d" % order))
if rcon.is_head_rank:
print "order %d" % order
print "#elements=", len(mesh.elements)
from hedge.mesh import TAG_ALL, TAG_NONE
from hedge.models.em import TMMaxwellOperator
from hedge.data import make_tdep_given, TimeIntervalGivenFunction
op = TMMaxwellOperator(epsilon, mu, flux_type=1,
current=TimeIntervalGivenFunction(
make_tdep_given(CurrentSource()), off_time=final_time/10),
absorb_tag=TAG_ALL, pec_tag=TAG_NONE)
fields = op.assemble_eh(discr=discr)
from hedge.timestep import LSRK4TimeStepper
stepper = LSRK4TimeStepper()
from time import time
last_tstep = time()
t = 0
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = join(output_dir, "maxwell-%d.dat" % order)
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
from hedge.log import EMFieldGetter, add_em_quantities
field_getter = EMFieldGetter(discr, op, lambda: fields)
add_em_quantities(logmgr, op, field_getter)
logmgr.add_watches(["step.max", "t_sim.max",
("W_field", "W_el+W_mag"), "t_step.max"])
# timestep loop -------------------------------------------------------
rhs = op.bind(discr)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=final_time, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
e, h = op.split_eh(fields)
visf = vis.make_file(join(output_dir, "em-%d-%04d" % (order, step)))
vis.add_data(visf,
[
("e", discr.convert_volume(e, "numpy")),
("h", discr.convert_volume(h, "numpy")),
],
time=t, step=step
)
visf.close()
fields = stepper(fields, t, dt, rhs)
assert discr.norm(fields) < 0.03
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True, flux_type_arg="central", use_quadrature=True,
final_time=20):
from math import sin, cos, pi, sqrt
from hedge.backends import guess_run_context
rcon = guess_run_context()
# mesh setup --------------------------------------------------------------
if rcon.is_head_rank:
#from hedge.mesh.generator import make_disk_mesh
#mesh = make_disk_mesh()
from hedge.mesh.generator import make_rect_mesh
mesh = make_rect_mesh(a=(-1,-1),b=(1,1),max_area=0.008)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
# space-time-dependent-velocity-field -------------------------------------
# simple vortex
class TimeDependentVField:
""" `TimeDependentVField` is a callable expecting `(x, t)` representing space and time
`x` is of the length of the spatial dimension and `t` is the time."""
shape = (2,)
def __call__(self, pt, el, t):
x, y = pt
# Correction-Factor to make the speed zero on the on the boundary
#fac = (1-x**2)*(1-y**2)
fac = 1.
return numpy.array([-y*fac, x*fac]) * cos(pi*t)
class VField:
""" `VField` is a callable expecting `(x)` representing space
`x` is of the length of the spatial dimension."""
shape = (2,)
def __call__(self, pt, el):
x, y = pt
# Correction-Factor to make the speed zero on the on the boundary
#fac = (1-x**2)*(1-y**2)
fac = 1.
return numpy.array([-y*fac, x*fac])
# space-time-dependent State BC (optional)-----------------------------------
class TimeDependentBc_u:
""" space and time dependent BC for state u"""
def __call__(self, pt, el, t):
x, y = pt
if t <= 0.5:
if x > 0:
return 1
else:
return 0
else:
return 0
class Bc_u:
""" Only space dependent BC for state u"""
def __call__(seld, pt, el):
x, y = pt
if x > 0:
return 1
else:
return 0
# operator setup ----------------------------------------------------------
# In the operator setup it is possible to switch between a only space
# dependent velocity field `VField` or a time and space dependent
# `TimeDependentVField`.
# For `TimeDependentVField`: advec_v=TimeDependentGivenFunction(VField())
# For `VField`: advec_v=TimeConstantGivenFunction(GivenFunction(VField()))
# Same for the Bc_u Function! If you don't define Bc_u then the BC for u = 0.
from hedge.data import \
ConstantGivenFunction, \
TimeConstantGivenFunction, \
TimeDependentGivenFunction, \
GivenFunction
from hedge.models.advection import VariableCoefficientAdvectionOperator
op = VariableCoefficientAdvectionOperator(mesh.dimensions,
#advec_v=TimeDependentGivenFunction(
# TimeDependentVField()),
advec_v=TimeConstantGivenFunction(
GivenFunction(VField())),
#bc_u_f=TimeDependentGivenFunction(
# TimeDependentBc_u()),
bc_u_f=TimeConstantGivenFunction(
GivenFunction(Bc_u())),
flux_type=flux_type_arg)
# discretization setup ----------------------------------------------------
order = 5
if use_quadrature:
quad_min_degrees = {"quad": 3*order}
else:
quad_min_degrees = {}
discr = rcon.make_discretization(mesh_data, order=order,
default_scalar_type=numpy.float64,
debug=["cuda_no_plan"],
quad_min_degrees=quad_min_degrees,
tune_for=op.op_template(),
)
vis_discr = discr
# visualization setup -----------------------------------------------------
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(vis_discr, rcon, "fld")
# initial condition -------------------------------------------------------
if True:
def initial(pt, el):
# Gauss pulse
from math import exp
x = (pt-numpy.array([0.3, 0.5]))*8
return exp(-numpy.dot(x, x))
else:
def initial(pt, el):
# Rectangle
x, y = pt
if abs(x) < 0.5 and abs(y) < 0.2:
return 2
else:
return 1
u = discr.interpolate_volume_function(initial)
# timestep setup ----------------------------------------------------------
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper(
vector_primitive_factory=discr.get_vector_primitive_factory())
if rcon.is_head_rank:
print "%d elements" % len(discr.mesh.elements)
# filter setup-------------------------------------------------------------
from hedge.discretization import ExponentialFilterResponseFunction
from hedge.optemplate.operators import FilterOperator
mode_filter = FilterOperator(
ExponentialFilterResponseFunction(min_amplification=0.9,order=4))\
.bind(discr)
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "space-dep.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from hedge.log import Integral, LpNorm
u_getter = lambda: u
logmgr.add_quantity(Integral(u_getter, discr, name="int_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, p=1, name="l1_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])
# Initialize v for data output:
v = op.advec_v.volume_interpolant(0, discr)
# timestep loop -----------------------------------------------------------
rhs = op.bind(discr)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=final_time, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, fields=u))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf, [
("u", discr.convert_volume(u, kind="numpy")),
("v", discr.convert_volume(v, kind="numpy"))
], time=t, step=step)
visf.close()
u = stepper(u, t, dt, rhs)
# We're feeding in a discontinuity through the BCs.
# Quadrature does not help with shock capturing--
# therefore we do need to filter here, regardless
# of whether quadrature is enabled.
u = mode_filter(u)
assert discr.norm(u) < 10
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True, flux_type_arg="upwind"):
from hedge.tools import mem_checkpoint
from math import sin, cos, pi, sqrt
from math import floor
from hedge.backends import guess_run_context
rcon = guess_run_context()
def f(x):
return sin(pi * x)
def u_analytic(x, el, t):
return f((-numpy.dot(v, x) / norm_v + t * norm_v))
def boundary_tagger(vertices, el, face_nr, all_v):
if numpy.dot(el.face_normals[face_nr], v) < 0:
return ["inflow"]
else:
return ["outflow"]
dim = 2
if dim == 1:
v = numpy.array([1])
if rcon.is_head_rank:
from hedge.mesh.generator import make_uniform_1d_mesh
mesh = make_uniform_1d_mesh(0, 2, 10, periodic=True)
elif dim == 2:
v = numpy.array([2, 0])
if rcon.is_head_rank:
from hedge.mesh.generator import make_disk_mesh
mesh = make_disk_mesh(boundary_tagger=boundary_tagger)
elif dim == 3:
v = numpy.array([0, 0, 1])
if rcon.is_head_rank:
from hedge.mesh.generator import make_cylinder_mesh, make_ball_mesh, make_box_mesh
mesh = make_cylinder_mesh(max_volume=0.04,
height=2,
boundary_tagger=boundary_tagger,
periodic=False,
radial_subdivisions=32)
else:
raise RuntimeError, "bad number of dimensions"
norm_v = la.norm(v)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
if dim != 1:
mesh_data = mesh_data.reordered_by("cuthill")
discr = rcon.make_discretization(mesh_data, order=4)
vis_discr = discr
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(vis_discr, rcon, "fld")
# operator setup ----------------------------------------------------------
from hedge.data import \
ConstantGivenFunction, \
TimeConstantGivenFunction, \
TimeDependentGivenFunction
from hedge.models.advection import StrongAdvectionOperator, WeakAdvectionOperator
op = WeakAdvectionOperator(v,
inflow_u=TimeDependentGivenFunction(u_analytic),
flux_type=flux_type_arg)
u = discr.interpolate_volume_function(lambda x, el: u_analytic(x, el, 0))
# timestep setup ----------------------------------------------------------
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper()
if rcon.is_head_rank:
print "%d elements" % len(discr.mesh.elements)
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "advection.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from hedge.log import Integral, LpNorm
u_getter = lambda: u
logmgr.add_quantity(Integral(u_getter, discr, name="int_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, p=1, name="l1_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])
# timestep loop -----------------------------------------------------------
rhs = op.bind(discr)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(final_time=3,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, fields=u))
for step, t, dt in step_it:
if step % 5 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf, [
("u", discr.convert_volume(u, kind="numpy")),
],
time=t,
step=step)
visf.close()
u = stepper(u, t, dt, rhs)
true_u = discr.interpolate_volume_function(
lambda x, el: u_analytic(x, el, t))
print discr.norm(u - true_u)
assert discr.norm(u - true_u) < 1e-2
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main():
from hedge.backends import guess_run_context
rcon = guess_run_context()
if rcon.is_head_rank:
mesh = make_nacamesh()
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
from pytools import add_python_path_relative_to_script
add_python_path_relative_to_script("..")
for order in [4]:
from gas_dynamics_initials import UniformMachFlow
uniform_flow = UniformMachFlow()
from hedge.models.gas_dynamics import GasDynamicsOperator, GammaLawEOS
op = GasDynamicsOperator(
dimensions=2,
equation_of_state=GammaLawEOS(uniform_flow.gamma),
prandtl=uniform_flow.prandtl,
spec_gas_const=uniform_flow.spec_gas_const,
mu=uniform_flow.mu,
bc_inflow=uniform_flow,
bc_outflow=uniform_flow,
bc_noslip=uniform_flow,
inflow_tag="inflow",
outflow_tag="outflow",
noslip_tag="noslip",
)
discr = rcon.make_discretization(
mesh_data,
order=order,
debug=[
"cuda_no_plan",
# "cuda_dump_kernels",
# "dump_optemplate_stages",
# "dump_dataflow_graph",
# "print_op_code"
],
default_scalar_type=numpy.float32,
tune_for=op.op_template(),
)
from hedge.visualization import SiloVisualizer, VtkVisualizer
# vis = VtkVisualizer(discr, rcon, "shearflow-%d" % order)
vis = SiloVisualizer(discr, rcon)
fields = uniform_flow.volume_interpolant(0, discr)
navierstokes_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = navierstokes_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
from hedge.timestep.runge_kutta import ODE23TimeStepper, LSRK4TimeStepper
stepper = ODE23TimeStepper(
dtype=discr.default_scalar_type, rtol=1e-6, vector_primitive_factory=discr.get_vector_primitive_factory()
)
# stepper = LSRK4TimeStepper(dtype=discr.default_scalar_type)
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, add_simulation_quantities, add_run_info
logmgr = LogManager("cns-naca-%d.dat" % order, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import LogQuantity
class ChangeSinceLastStep(LogQuantity):
"""Records the change of a variable between a time step and the previous
one"""
def __init__(self, name="change"):
LogQuantity.__init__(self, name, "1", "Change since last time step")
self.old_fields = 0
def __call__(self):
result = discr.norm(fields - self.old_fields)
self.old_fields = fields
return result
# logmgr.add_quantity(ChangeSinceLastStep())
# filter setup-------------------------------------------------------------
from hedge.discretization import Filter, ExponentialFilterResponseFunction
mode_filter = Filter(discr, ExponentialFilterResponseFunction(min_amplification=0.9, order=4))
# timestep loop -------------------------------------------------------
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=200,
# max_steps=500,
logmgr=logmgr,
max_dt_getter=lambda t: next_dt,
taken_dt_getter=lambda: taken_dt,
)
model_stepper = LSRK4TimeStepper()
next_dt = op.estimate_timestep(discr, stepper=model_stepper, t=0, max_eigenvalue=max_eigval[0])
for step, t, dt in step_it:
if step % 10 == 0:
visf = vis.make_file("naca-%d-%06d" % (order, step))
from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(
visf,
[
("rho", discr.convert_volume(op.rho(fields), kind="numpy")),
("e", discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u", discr.convert_volume(op.rho_u(fields), kind="numpy")),
("u", discr.convert_volume(op.u(fields), kind="numpy")),
# ("true_rho", op.rho(true_fields)),
# ("true_e", op.e(true_fields)),
# ("true_rho_u", op.rho_u(true_fields)),
# ("true_u", op.u(true_fields)),
# ("rhs_rho", discr.convert_volume(op.rho(rhs_fields), kind="numpy")),
# ("rhs_e", discr.convert_volume(op.e(rhs_fields), kind="numpy")),
# ("rhs_rho_u", discr.convert_volume(op.rho_u(rhs_fields), kind="numpy")),
],
expressions=[
# ("diff_rho", "rho-true_rho"),
# ("diff_e", "e-true_e"),
# ("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
("p", "(0.4)*(e- 0.5*(rho_u*u))")
],
time=t,
step=step,
)
visf.close()
fields, t, taken_dt, next_dt = stepper(fields, t, dt, rhs)
fields = mode_filter(fields)
finally:
vis.close()
logmgr.save()
discr.close()
def add_instrumentation(self, logmgr):
from pytools.log import \
add_simulation_quantities, \
add_general_quantities, \
add_run_info, ETA
from pyrticle.log import add_particle_quantities, add_field_quantities, \
add_beam_quantities, add_currents
setup = self.setup
from pyrticle.log import StateObserver
self.observer = StateObserver(self.method, self.maxwell_op)
self.observer.set_fields_and_state(self.fields, self.state)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
add_particle_quantities(logmgr, self.observer)
add_field_quantities(logmgr, self.observer)
if setup.beam_axis is not None and setup.beam_diag_axis is not None:
add_beam_quantities(logmgr,
self.observer,
axis=setup.beam_diag_axis,
beam_axis=setup.beam_axis)
if setup.tube_length is not None:
from hedge.tools import unit_vector
add_currents(
logmgr, self.observer,
unit_vector(self.method.dimensions_velocity, setup.beam_axis),
setup.tube_length)
self.method.add_instrumentation(logmgr, self.observer)
self.f_rhs_calculator.add_instrumentation(logmgr)
if hasattr(self.stepper, "add_instrumentation"):
self.stepper.add_instrumentation(logmgr)
mean_beta = self.method.mean_beta(self.state)
gamma = self.method.units.gamma_from_beta(mean_beta)
logmgr.set_constant("dt", self.dt)
logmgr.set_constant("beta", mean_beta)
logmgr.set_constant("gamma", gamma)
logmgr.set_constant("v", mean_beta * self.units.VACUUM_LIGHT_SPEED())
logmgr.set_constant("Q0", self.total_charge)
logmgr.set_constant("n_part_0", setup.nparticles)
logmgr.set_constant("pmass", setup.distribution.mean()[3][0])
logmgr.set_constant("chi", setup.chi)
logmgr.set_constant("phi_decay", setup.phi_decay)
logmgr.set_constant("shape_radius_setup", setup.shape_bandwidth)
logmgr.set_constant("shape_radius",
self.method.depositor.shape_function.radius)
logmgr.set_constant("shape_exponent",
self.method.depositor.shape_function.exponent)
from pytools.log import IntervalTimer
self.vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(self.vis_timer)
logmgr.add_quantity(ETA(self.nsteps))
logmgr.add_watches(setup.watch_vars)
def main(write_output=True, allow_features=None):
from hedge.timestep import RK4TimeStepper
from hedge.mesh import make_ball_mesh, make_cylinder_mesh, make_box_mesh
from hedge.visualization import \
VtkVisualizer, \
SiloVisualizer, \
get_rank_partition
from math import sqrt, pi
from hedge.backends import guess_run_context
rcon = guess_run_context(allow_features)
epsilon0 = 8.8541878176e-12 # C**2 / (N m**2)
mu0 = 4*pi*1e-7 # N/A**2.
epsilon = 1*epsilon0
mu = 1*mu0
dims = 3
if rcon.is_head_rank:
if dims == 2:
from hedge.mesh import make_rect_mesh
mesh = make_rect_mesh(
a=(-10.5,-1.5),
b=(10.5,1.5),
max_area=0.1
)
elif dims == 3:
from hedge.mesh import make_box_mesh
mesh = make_box_mesh(
a=(-10.5,-1.5,-1.5),
b=(10.5,1.5,1.5),
max_volume=0.1)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
#for order in [1,2,3,4,5,6]:
discr = rcon.make_discretization(mesh_data, order=3)
if write_output:
vis = VtkVisualizer(discr, rcon, "dipole")
from analytic_solutions import DipoleFarField, SphericalFieldAdapter
from hedge.data import ITimeDependentGivenFunction
sph_dipole = DipoleFarField(
q=1, #C
d=1/39,
omega=2*pi*1e8,
epsilon=epsilon0,
mu=mu0,
)
cart_dipole = SphericalFieldAdapter(sph_dipole)
class PointDipoleSource(ITimeDependentGivenFunction):
def __init__(self):
from pyrticle.tools import CInfinityShapeFunction
sf = CInfinityShapeFunction(
0.1*sph_dipole.wavelength,
discr.dimensions)
self.num_sf = discr.interpolate_volume_function(
lambda x, el: sf(x))
self.vol_0 = discr.volume_zeros()
def volume_interpolant(self, t, discr):
from hedge.tools import make_obj_array
return make_obj_array([
self.vol_0,
self.vol_0,
sph_dipole.source_modulation(t)*self.num_sf
])
from hedge.mesh import TAG_ALL, TAG_NONE
if dims == 2:
from hedge.models.em import TMMaxwellOperator as MaxwellOperator
else:
from hedge.models.em import MaxwellOperator
op = MaxwellOperator(
epsilon, mu,
flux_type=1,
pec_tag=TAG_NONE,
absorb_tag=TAG_ALL,
current=PointDipoleSource(),
)
fields = op.assemble_eh(discr=discr)
if rcon.is_head_rank:
print "#elements=", len(mesh.elements)
stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = "dipole.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
from hedge.log import EMFieldGetter, add_em_quantities
field_getter = EMFieldGetter(discr, op, lambda: fields)
add_em_quantities(logmgr, op, field_getter)
from pytools.log import PushLogQuantity
relerr_e_q = PushLogQuantity("relerr_e", "1", "Relative error in masked E-field")
relerr_h_q = PushLogQuantity("relerr_h", "1", "Relative error in masked H-field")
logmgr.add_quantity(relerr_e_q)
logmgr.add_quantity(relerr_h_q)
logmgr.add_watches(["step.max", "t_sim.max",
("W_field", "W_el+W_mag"), "t_step.max",
"relerr_e", "relerr_h"])
if write_output:
point_timeseries = [
(open("b-x%d-vs-time.dat" % i, "w"),
open("b-x%d-vs-time-true.dat" % i, "w"),
discr.get_point_evaluator(numpy.array([i,0,0][:dims],
dtype=discr.default_scalar_type)))
for i in range(1,5)
]
# timestep loop -------------------------------------------------------
mask = discr.interpolate_volume_function(sph_dipole.far_field_mask)
def apply_mask(field):
from hedge.tools import log_shape
ls = log_shape(field)
result = discr.volume_empty(ls)
from pytools import indices_in_shape
for i in indices_in_shape(ls):
result[i] = mask * field[i]
return result
rhs = op.bind(discr)
t = 0
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=1e-8, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if write_output and step % 10 == 0:
sub_timer = vis_timer.start_sub_timer()
e, h = op.split_eh(fields)
sph_dipole.set_time(t)
true_e, true_h = op.split_eh(
discr.interpolate_volume_function(cart_dipole))
visf = vis.make_file("dipole-%04d" % step)
mask_e = apply_mask(e)
mask_h = apply_mask(h)
mask_true_e = apply_mask(true_e)
mask_true_h = apply_mask(true_h)
from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(visf,
[
("e", e),
("h", h),
("true_e", true_e),
("true_h", true_h),
("mask_e", mask_e),
("mask_h", mask_h),
("mask_true_e", mask_true_e),
("mask_true_h", mask_true_h)],
time=t, step=step)
visf.close()
sub_timer.stop().submit()
from hedge.tools import relative_error
relerr_e_q.push_value(
relative_error(
discr.norm(mask_e-mask_true_e),
discr.norm(mask_true_e)))
relerr_h_q.push_value(
relative_error(
discr.norm(mask_h-mask_true_h),
discr.norm(mask_true_h)))
if write_output:
for outf_num, outf_true, evaluator in point_timeseries:
for outf, ev_h in zip([outf_num, outf_true],
[h, true_h]):
outf.write("%g\t%g\n" % (t, op.mu*evaluator(ev_h[1])))
outf.flush()
fields = stepper(fields, t, dt, rhs)
finally:
if write_output:
vis.close()
logmgr.save()
discr.close()
def main(write_output=True,
flux_type_arg="upwind", dtype=np.float64, debug=[]):
from math import sin, cos, pi, exp, sqrt # noqa
from hedge.backends import guess_run_context
rcon = guess_run_context()
if rcon.is_head_rank:
from hedge.mesh.reader.gmsh import generate_gmsh
mesh = generate_gmsh(GEOMETRY, 2,
allow_internal_boundaries=True,
force_dimension=2)
print "%d elements" % len(mesh.elements)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
discr = rcon.make_discretization(mesh_data, order=4, debug=debug,
default_scalar_type=dtype)
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper(dtype=dtype)
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "fld")
source_center = 0
source_width = 0.05
source_omega = 3
import hedge.optemplate as sym
sym_x = sym.nodes(2)
sym_source_center_dist = sym_x - source_center
from hedge.models.wave import StrongWaveOperator
op = StrongWaveOperator(-1, discr.dimensions,
source_f=
sym.CFunction("sin")(source_omega*sym.ScalarParameter("t"))
* sym.CFunction("exp")(
-np.dot(sym_source_center_dist, sym_source_center_dist)
/ source_width**2),
dirichlet_tag="boundary",
neumann_tag=TAG_NONE,
radiation_tag=TAG_NONE,
flux_type=flux_type_arg
)
from hedge.tools import join_fields
fields = join_fields(discr.volume_zeros(dtype=dtype),
[discr.volume_zeros(dtype=dtype) for i in range(discr.dimensions)])
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "wiggly.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -----------------------------------------------------------
rhs = op.bind(discr)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=4, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf,
[
("u", fields[0]),
("v", fields[1:]),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
assert discr.norm(fields) < 1
assert fields[0].dtype == dtype
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main():
from hedge.backends import guess_run_context
rcon = guess_run_context(
#["cuda"]
)
from hedge.tools import EOCRecorder, to_obj_array
eoc_rec = EOCRecorder()
def boundary_tagger(vertices, el, face_nr, all_v):
return ["inflow"]
if rcon.is_head_rank:
from hedge.mesh import make_rect_mesh, \
make_centered_regular_rect_mesh
#mesh = make_rect_mesh((0,0), (10,1), max_area=0.01)
refine = 1
mesh = make_centered_regular_rect_mesh(
(0, 0),
(10, 1),
n=(20, 4),
#periodicity=(True, False),
post_refine_factor=refine,
boundary_tagger=boundary_tagger)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [3]:
discr = rcon.make_discretization(mesh_data,
order=order,
default_scalar_type=numpy.float64)
from hedge.visualization import SiloVisualizer, VtkVisualizer
#vis = VtkVisualizer(discr, rcon, "shearflow-%d" % order)
vis = SiloVisualizer(discr, rcon)
shearflow = SteadyShearFlow()
fields = shearflow.volume_interpolant(0, discr)
gamma, mu, prandtl, spec_gas_const = shearflow.properties()
from hedge.models.gas_dynamics import GasDynamicsOperator
op = GasDynamicsOperator(dimensions=2,
gamma=gamma,
mu=mu,
prandtl=prandtl,
spec_gas_const=spec_gas_const,
bc_inflow=shearflow,
bc_outflow=shearflow,
bc_noslip=shearflow,
inflow_tag="inflow",
outflow_tag="outflow",
noslip_tag="noslip")
navierstokes_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = navierstokes_ex(t, q)
max_eigval[0] = speed
return ode_rhs
# needed to get first estimate of maximum eigenvalue
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
from hedge.timestep import RK4TimeStepper
stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
logmgr = LogManager("navierstokes-cpu-%d-%d.dat" % (order, refine),
"w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -------------------------------------------------------
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=0.3,
#max_steps=500,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
for step, t, dt in step_it:
if step % 10 == 0:
#if False:
visf = vis.make_file("shearflow-%d-%04d" % (order, step))
#true_fields = shearflow.volume_interpolant(t, discr)
from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(
visf,
[
("rho",
discr.convert_volume(op.rho(fields),
kind="numpy")),
("e",
discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u",
discr.convert_volume(op.rho_u(fields),
kind="numpy")),
("u",
discr.convert_volume(op.u(fields), kind="numpy")),
#("true_rho", discr.convert_volume(op.rho(true_fields), kind="numpy")),
#("true_e", discr.convert_volume(op.e(true_fields), kind="numpy")),
#("true_rho_u", discr.convert_volume(op.rho_u(true_fields), kind="numpy")),
#("true_u", discr.convert_volume(op.u(true_fields), kind="numpy")),
],
expressions=[
#("diff_rho", "rho-true_rho"),
#("diff_e", "e-true_e"),
#("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
("p", "0.4*(e- 0.5*(rho_u*u))"),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
true_fields = shearflow.volume_interpolant(t, discr)
l2_error = discr.norm(op.u(fields) - op.u(true_fields))
eoc_rec.add_data_point(order, l2_error)
print
print eoc_rec.pretty_print("P.Deg.", "L2 Error")
logmgr.set_constant("l2_error", l2_error)
finally:
vis.close()
logmgr.save()
discr.close()
def main(write_output=True, allow_features=None, flux_type_arg=1, bdry_flux_type_arg=None, extra_discr_args={}):
from hedge.mesh.generator import make_cylinder_mesh, make_box_mesh
from hedge.tools import EOCRecorder, to_obj_array
from math import sqrt, pi
from analytic_solutions import (
check_time_harmonic_solution,
RealPartAdapter,
SplitComplexAdapter,
CylindricalFieldAdapter,
CylindricalCavityMode,
RectangularWaveguideMode,
RectangularCavityMode,
)
from hedge.models.em import MaxwellOperator
from hedge.backends import guess_run_context
rcon = guess_run_context(allow_features)
epsilon0 = 8.8541878176e-12 # C**2 / (N m**2)
mu0 = 4 * pi * 1e-7 # N/A**2.
epsilon = 1 * epsilon0
mu = 1 * mu0
eoc_rec = EOCRecorder()
cylindrical = False
periodic = False
if cylindrical:
R = 1
d = 2
mode = CylindricalCavityMode(m=1, n=1, p=1, radius=R, height=d, epsilon=epsilon, mu=mu)
r_sol = CylindricalFieldAdapter(RealPartAdapter(mode))
c_sol = SplitComplexAdapter(CylindricalFieldAdapter(mode))
if rcon.is_head_rank:
mesh = make_cylinder_mesh(radius=R, height=d, max_volume=0.01)
else:
if periodic:
mode = RectangularWaveguideMode(epsilon, mu, (3, 2, 1))
periodicity = (False, False, True)
else:
periodicity = None
mode = RectangularCavityMode(epsilon, mu, (1, 2, 2))
if rcon.is_head_rank:
mesh = make_box_mesh(max_volume=0.001, periodicity=periodicity)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [4, 5, 6]:
# for order in [1,2,3,4,5,6]:
extra_discr_args.setdefault("debug", []).extend(["cuda_no_plan", "cuda_dump_kernels"])
op = MaxwellOperator(epsilon, mu, flux_type=flux_type_arg, bdry_flux_type=bdry_flux_type_arg)
discr = rcon.make_discretization(mesh_data, order=order, tune_for=op.op_template(), **extra_discr_args)
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "em-%d" % order)
mode.set_time(0)
def get_true_field():
return discr.convert_volume(
to_obj_array(mode(discr).real.astype(discr.default_scalar_type).copy()), kind=discr.compute_kind
)
fields = get_true_field()
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper(dtype=discr.default_scalar_type, rcon=rcon)
# from hedge.timestep.dumka3 import Dumka3TimeStepper
# stepper = Dumka3TimeStepper(3, dtype=discr.default_scalar_type, rcon=rcon)
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, add_simulation_quantities, add_run_info
if write_output:
log_file_name = "maxwell-%d.dat" % order
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
from hedge.log import EMFieldGetter, add_em_quantities
field_getter = EMFieldGetter(discr, op, lambda: fields)
add_em_quantities(logmgr, op, field_getter)
logmgr.add_watches(["step.max", "t_sim.max", ("W_field", "W_el+W_mag"), "t_step.max"])
# timestep loop -------------------------------------------------------
rhs = op.bind(discr)
final_time = 0.5e-9
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=final_time,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr, stepper=stepper, t=t, fields=fields),
)
for step, t, dt in step_it:
if step % 50 == 0 and write_output:
sub_timer = vis_timer.start_sub_timer()
e, h = op.split_eh(fields)
visf = vis.make_file("em-%d-%04d" % (order, step))
vis.add_data(
visf,
[("e", discr.convert_volume(e, kind="numpy")), ("h", discr.convert_volume(h, kind="numpy"))],
time=t,
step=step,
)
visf.close()
sub_timer.stop().submit()
fields = stepper(fields, t, dt, rhs)
mode.set_time(final_time)
eoc_rec.add_data_point(order, discr.norm(fields - get_true_field()))
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
if rcon.is_head_rank:
print
print eoc_rec.pretty_print("P.Deg.", "L2 Error")
assert eoc_rec.estimate_order_of_convergence()[0, 1] > 6
def main(final_time=1, write_output=False):
from hedge.backends import guess_run_context
rcon = guess_run_context()
from hedge.tools import EOCRecorder, to_obj_array
eoc_rec = EOCRecorder()
if rcon.is_head_rank:
from hedge.mesh import make_box_mesh
mesh = make_box_mesh((0,0,0), (10,10,10), max_volume=0.5)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [3, 4, 5]:
discr = rcon.make_discretization(mesh_data, order=order,
default_scalar_type=numpy.float64)
from hedge.visualization import SiloVisualizer, VtkVisualizer
vis = VtkVisualizer(discr, rcon, "sinewave-%d" % order)
#vis = SiloVisualizer(discr, rcon)
sinewave = SineWave()
fields = sinewave.volume_interpolant(0, discr)
gamma, mu, prandtl, spec_gas_const = sinewave.properties()
from hedge.mesh import TAG_ALL
from hedge.models.gas_dynamics import GasDynamicsOperator
op = GasDynamicsOperator(dimensions=mesh.dimensions, gamma=gamma, mu=mu,
prandtl=prandtl, spec_gas_const=spec_gas_const,
bc_inflow=sinewave, bc_outflow=sinewave, bc_noslip=sinewave,
inflow_tag=TAG_ALL, source=None)
euler_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = euler_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
from hedge.timestep import RK4TimeStepper
stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_name = ("euler-sinewave-%(order)d-%(els)d.dat"
% {"order":order, "els":len(mesh.elements)})
else:
log_name = False
logmgr = LogManager(log_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -------------------------------------------------------
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=final_time, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
for step, t, dt in step_it:
#if step % 10 == 0:
if write_output:
visf = vis.make_file("sinewave-%d-%04d" % (order, step))
#from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(visf,
[
("rho", discr.convert_volume(op.rho(fields), kind="numpy")),
("e", discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u", discr.convert_volume(op.rho_u(fields), kind="numpy")),
("u", discr.convert_volume(op.u(fields), kind="numpy")),
#("true_rho", op.rho(true_fields)),
#("true_e", op.e(true_fields)),
#("true_rho_u", op.rho_u(true_fields)),
#("true_u", op.u(true_fields)),
#("rhs_rho", op.rho(rhs_fields)),
#("rhs_e", op.e(rhs_fields)),
#("rhs_rho_u", op.rho_u(rhs_fields)),
],
#expressions=[
#("diff_rho", "rho-true_rho"),
#("diff_e", "e-true_e"),
#("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
#("p", "0.4*(e- 0.5*(rho_u*u))"),
#],
time=t, step=step
)
visf.close()
fields = stepper(fields, t, dt, rhs)
finally:
vis.close()
logmgr.close()
discr.close()
true_fields = sinewave.volume_interpolant(t, discr)
eoc_rec.add_data_point(order, discr.norm(fields-true_fields))
print
print eoc_rec.pretty_print("P.Deg.", "L2 Error")
def main(write_output=True):
from math import sqrt, pi, exp
from os.path import join
from grudge.backends import guess_run_context
rcon = guess_run_context()
epsilon0 = 8.8541878176e-12 # C**2 / (N m**2)
mu0 = 4 * pi * 1e-7 # N/A**2.
epsilon = 1 * epsilon0
mu = 1 * mu0
output_dir = "maxwell-2d"
import os
if not os.access(output_dir, os.F_OK):
os.makedirs(output_dir)
from grudge.mesh.generator import make_disk_mesh
mesh = make_disk_mesh(r=0.5, max_area=1e-3)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
class CurrentSource:
shape = (3, )
def __call__(self, x, el):
return [0, 0, exp(-80 * la.norm(x))]
order = 3
final_time = 1e-8
discr = rcon.make_discretization(mesh_data,
order=order,
debug=["cuda_no_plan"])
from grudge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, join(output_dir, "em-%d" % order))
if rcon.is_head_rank:
print("order %d" % order)
print("#elements=", len(mesh.elements))
from grudge.mesh import BTAG_ALL, BTAG_NONE
from grudge.models.em import TMMaxwellOperator
from grudge.data import make_tdep_given, TimeIntervalGivenFunction
op = TMMaxwellOperator(epsilon,
mu,
flux_type=1,
current=TimeIntervalGivenFunction(
make_tdep_given(CurrentSource()),
off_time=final_time / 10),
absorb_tag=BTAG_ALL,
pec_tag=BTAG_NONE)
fields = op.assemble_eh(discr=discr)
from grudge.timestep import LSRK4TimeStepper
stepper = LSRK4TimeStepper()
from time import time
last_tstep = time()
t = 0
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = join(output_dir, "maxwell-%d.dat" % order)
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
from grudge.log import EMFieldGetter, add_em_quantities
field_getter = EMFieldGetter(discr, op, lambda: fields)
add_em_quantities(logmgr, op, field_getter)
logmgr.add_watches(
["step.max", "t_sim.max", ("W_field", "W_el+W_mag"), "t_step.max"])
# timestep loop -------------------------------------------------------
rhs = op.bind(discr)
try:
from grudge.timestep import times_and_steps
step_it = times_and_steps(
final_time=final_time,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
e, h = op.split_eh(fields)
visf = vis.make_file(
join(output_dir, "em-%d-%04d" % (order, step)))
vis.add_data(visf, [
("e", discr.convert_volume(e, "numpy")),
("h", discr.convert_volume(h, "numpy")),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
assert discr.norm(fields) < 0.03
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main():
import logging
logging.basicConfig(level=logging.INFO)
from hedge.backends import guess_run_context
rcon = guess_run_context()
if rcon.is_head_rank:
if True:
mesh = make_squaremesh()
else:
from hedge.mesh import make_rect_mesh
mesh = make_rect_mesh(
boundary_tagger=lambda fvi, el, fn, all_v: ["inflow"],
max_area=0.1)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
from pytools import add_python_path_relative_to_script
add_python_path_relative_to_script(".")
for order in [3]:
from gas_dynamics_initials import UniformMachFlow
square = UniformMachFlow(gaussian_pulse_at=numpy.array([-2, 2]),
pulse_magnitude=0.003)
from hedge.models.gas_dynamics import (
GasDynamicsOperator,
GammaLawEOS)
op = GasDynamicsOperator(dimensions=2,
equation_of_state=GammaLawEOS(square.gamma), mu=square.mu,
prandtl=square.prandtl, spec_gas_const=square.spec_gas_const,
bc_inflow=square, bc_outflow=square, bc_noslip=square,
inflow_tag="inflow", outflow_tag="outflow", noslip_tag="noslip")
discr = rcon.make_discretization(mesh_data, order=order,
debug=["cuda_no_plan",
"cuda_dump_kernels",
#"dump_dataflow_graph",
#"dump_optemplate_stages",
#"dump_dataflow_graph",
#"dump_op_code"
#"cuda_no_plan_el_local"
],
default_scalar_type=numpy.float64,
tune_for=op.op_template(),
quad_min_degrees={
"gasdyn_vol": 3*order,
"gasdyn_face": 3*order,
}
)
from hedge.visualization import SiloVisualizer, VtkVisualizer
#vis = VtkVisualizer(discr, rcon, "shearflow-%d" % order)
vis = SiloVisualizer(discr, rcon)
from hedge.timestep.runge_kutta import (
LSRK4TimeStepper, ODE23TimeStepper, ODE45TimeStepper)
from hedge.timestep.dumka3 import Dumka3TimeStepper
#stepper = LSRK4TimeStepper(dtype=discr.default_scalar_type,
#vector_primitive_factory=discr.get_vector_primitive_factory())
stepper = ODE23TimeStepper(dtype=discr.default_scalar_type,
rtol=1e-6,
vector_primitive_factory=discr.get_vector_primitive_factory())
# Dumka works kind of poorly
#stepper = Dumka3TimeStepper(dtype=discr.default_scalar_type,
#rtol=1e-7, pol_index=2,
#vector_primitive_factory=discr.get_vector_primitive_factory())
#from hedge.timestep.dumka3 import Dumka3TimeStepper
#stepper = Dumka3TimeStepper(3, rtol=1e-7)
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
logmgr = LogManager("cns-square-sp-%d.dat" % order, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import LogQuantity
class ChangeSinceLastStep(LogQuantity):
"""Records the change of a variable between a time step and the previous
one"""
def __init__(self, name="change"):
LogQuantity.__init__(self, name, "1", "Change since last time step")
self.old_fields = 0
def __call__(self):
result = discr.norm(fields - self.old_fields)
self.old_fields = fields
return result
#logmgr.add_quantity(ChangeSinceLastStep())
add_simulation_quantities(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# filter setup ------------------------------------------------------------
from hedge.discretization import Filter, ExponentialFilterResponseFunction
mode_filter = Filter(discr,
ExponentialFilterResponseFunction(min_amplification=0.95, order=6))
# timestep loop -------------------------------------------------------
fields = square.volume_interpolant(0, discr)
navierstokes_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = navierstokes_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=1000,
#max_steps=500,
logmgr=logmgr,
max_dt_getter=lambda t: next_dt,
taken_dt_getter=lambda: taken_dt)
model_stepper = LSRK4TimeStepper()
next_dt = op.estimate_timestep(discr,
stepper=model_stepper, t=0,
max_eigenvalue=max_eigval[0])
for step, t, dt in step_it:
#if (step % 10000 == 0): #and step < 950000) or (step % 500 == 0 and step > 950000):
#if False:
if step % 5 == 0:
visf = vis.make_file("square-%d-%06d" % (order, step))
#from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(visf,
[
("rho", discr.convert_volume(op.rho(fields), kind="numpy")),
("e", discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u", discr.convert_volume(op.rho_u(fields), kind="numpy")),
("u", discr.convert_volume(op.u(fields), kind="numpy")),
],
expressions=[
("p", "(0.4)*(e- 0.5*(rho_u*u))"),
],
time=t, step=step
)
visf.close()
if stepper.adaptive:
fields, t, taken_dt, next_dt = stepper(fields, t, dt, rhs)
else:
taken_dt = dt
fields = stepper(fields, t, dt, rhs)
dt = op.estimate_timestep(discr,
stepper=model_stepper, t=0,
max_eigenvalue=max_eigval[0])
#fields = mode_filter(fields)
finally:
vis.close()
logmgr.save()
discr.close()
def main(write_output=True):
from pytools import add_python_path_relative_to_script
add_python_path_relative_to_script("..")
from hedge.backends import guess_run_context
rcon = guess_run_context()
from hedge.tools import EOCRecorder
eoc_rec = EOCRecorder()
if rcon.is_head_rank:
from hedge.mesh.generator import \
make_rect_mesh, \
make_centered_regular_rect_mesh
refine = 4
mesh = make_centered_regular_rect_mesh((0,-5), (10,5), n=(9,9),
post_refine_factor=refine)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [3, 4, 5]:
from gas_dynamics_initials import Vortex
flow = Vortex()
from hedge.models.gas_dynamics import (
GasDynamicsOperator, PolytropeEOS, GammaLawEOS)
from hedge.mesh import TAG_ALL
# works equally well for GammaLawEOS
op = GasDynamicsOperator(dimensions=2, mu=flow.mu,
prandtl=flow.prandtl, spec_gas_const=flow.spec_gas_const,
equation_of_state=PolytropeEOS(flow.gamma),
bc_inflow=flow, bc_outflow=flow, bc_noslip=flow,
inflow_tag=TAG_ALL, source=None)
discr = rcon.make_discretization(mesh_data, order=order,
default_scalar_type=numpy.float64,
quad_min_degrees={
"gasdyn_vol": 3*order,
"gasdyn_face": 3*order,
},
tune_for=op.op_template(),
debug=["cuda_no_plan"])
from hedge.visualization import SiloVisualizer, VtkVisualizer
vis = VtkVisualizer(discr, rcon, "vortex-%d" % order)
#vis = SiloVisualizer(discr, rcon)
fields = flow.volume_interpolant(0, discr)
euler_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = euler_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
# limiter ------------------------------------------------------------
from hedge.models.gas_dynamics import SlopeLimiter1NEuler
limiter = SlopeLimiter1NEuler(discr, flow.gamma, 2, op)
from hedge.timestep.runge_kutta import SSP3TimeStepper
#stepper = SSP3TimeStepper(limiter=limiter)
stepper = SSP3TimeStepper(
vector_primitive_factory=discr.get_vector_primitive_factory())
#from hedge.timestep import RK4TimeStepper
#stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = "euler-%d.dat" % order
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -------------------------------------------------------
try:
final_time = flow.final_time
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=final_time, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
print "run until t=%g" % final_time
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
#if False:
visf = vis.make_file("vortex-%d-%04d" % (order, step))
#true_fields = vortex.volume_interpolant(t, discr)
from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(visf,
[
("rho", discr.convert_volume(op.rho(fields), kind="numpy")),
("e", discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u", discr.convert_volume(op.rho_u(fields), kind="numpy")),
("u", discr.convert_volume(op.u(fields), kind="numpy")),
#("true_rho", discr.convert_volume(op.rho(true_fields), kind="numpy")),
#("true_e", discr.convert_volume(op.e(true_fields), kind="numpy")),
#("true_rho_u", discr.convert_volume(op.rho_u(true_fields), kind="numpy")),
#("true_u", discr.convert_volume(op.u(true_fields), kind="numpy")),
#("rhs_rho", discr.convert_volume(op.rho(rhs_fields), kind="numpy")),
#("rhs_e", discr.convert_volume(op.e(rhs_fields), kind="numpy")),
#("rhs_rho_u", discr.convert_volume(op.rho_u(rhs_fields), kind="numpy")),
],
#expressions=[
#("diff_rho", "rho-true_rho"),
#("diff_e", "e-true_e"),
#("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
#("p", "0.4*(e- 0.5*(rho_u*u))"),
#],
time=t, step=step
)
visf.close()
fields = stepper(fields, t, dt, rhs)
#fields = limiter(fields)
assert not numpy.isnan(numpy.sum(fields[0]))
true_fields = flow.volume_interpolant(final_time, discr)
l2_error = discr.norm(fields-true_fields)
l2_error_rho = discr.norm(op.rho(fields)-op.rho(true_fields))
l2_error_e = discr.norm(op.e(fields)-op.e(true_fields))
l2_error_rhou = discr.norm(op.rho_u(fields)-op.rho_u(true_fields))
l2_error_u = discr.norm(op.u(fields)-op.u(true_fields))
eoc_rec.add_data_point(order, l2_error)
print
print eoc_rec.pretty_print("P.Deg.", "L2 Error")
logmgr.set_constant("l2_error", l2_error)
logmgr.set_constant("l2_error_rho", l2_error_rho)
logmgr.set_constant("l2_error_e", l2_error_e)
logmgr.set_constant("l2_error_rhou", l2_error_rhou)
logmgr.set_constant("l2_error_u", l2_error_u)
logmgr.set_constant("refinement", refine)
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
# after order loop
assert eoc_rec.estimate_order_of_convergence()[0,1] > 6
def add_instrumentation(self, logmgr):
from pytools.log import \
add_simulation_quantities, \
add_general_quantities, \
add_run_info, ETA
from pyrticle.log import add_particle_quantities, add_field_quantities, \
add_beam_quantities, add_currents
setup = self.setup
from pyrticle.log import StateObserver
self.observer = StateObserver(self.method, self.maxwell_op)
self.observer.set_fields_and_state(self.fields, self.state)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
add_particle_quantities(logmgr, self.observer)
add_field_quantities(logmgr, self.observer)
if setup.beam_axis is not None and setup.beam_diag_axis is not None:
add_beam_quantities(logmgr, self.observer,
axis=setup.beam_diag_axis,
beam_axis=setup.beam_axis)
if setup.tube_length is not None:
from hedge.tools import unit_vector
add_currents(logmgr, self.observer,
unit_vector(self.method.dimensions_velocity, setup.beam_axis),
setup.tube_length)
self.method.add_instrumentation(logmgr, self.observer)
self.f_rhs_calculator.add_instrumentation(logmgr)
if hasattr(self.stepper, "add_instrumentation"):
self.stepper.add_instrumentation(logmgr)
mean_beta = self.method.mean_beta(self.state)
gamma = self.method.units.gamma_from_beta(mean_beta)
logmgr.set_constant("dt", self.dt)
logmgr.set_constant("beta", mean_beta)
logmgr.set_constant("gamma", gamma)
logmgr.set_constant("v", mean_beta*self.units.VACUUM_LIGHT_SPEED())
logmgr.set_constant("Q0", self.total_charge)
logmgr.set_constant("n_part_0", setup.nparticles)
logmgr.set_constant("pmass", setup.distribution.mean()[3][0])
logmgr.set_constant("chi", setup.chi)
logmgr.set_constant("phi_decay", setup.phi_decay)
logmgr.set_constant("shape_radius_setup", setup.shape_bandwidth)
logmgr.set_constant("shape_radius", self.method.depositor.shape_function.radius)
logmgr.set_constant("shape_exponent", self.method.depositor.shape_function.exponent)
from pytools.log import IntervalTimer
self.vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(self.vis_timer)
logmgr.add_quantity(ETA(self.nsteps))
logmgr.add_watches(setup.watch_vars)
def main(final_time=1, write_output=False):
from hedge.backends import guess_run_context
rcon = guess_run_context()
from hedge.tools import EOCRecorder, to_obj_array
eoc_rec = EOCRecorder()
if rcon.is_head_rank:
from hedge.mesh import make_box_mesh
mesh = make_box_mesh((0, 0, 0), (10, 10, 10), max_volume=0.5)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [3, 4, 5]:
discr = rcon.make_discretization(mesh_data,
order=order,
default_scalar_type=numpy.float64)
from hedge.visualization import SiloVisualizer, VtkVisualizer
vis = VtkVisualizer(discr, rcon, "sinewave-%d" % order)
#vis = SiloVisualizer(discr, rcon)
sinewave = SineWave()
fields = sinewave.volume_interpolant(0, discr)
gamma, mu, prandtl, spec_gas_const = sinewave.properties()
from hedge.mesh import TAG_ALL
from hedge.models.gas_dynamics import GasDynamicsOperator
op = GasDynamicsOperator(dimensions=mesh.dimensions,
gamma=gamma,
mu=mu,
prandtl=prandtl,
spec_gas_const=spec_gas_const,
bc_inflow=sinewave,
bc_outflow=sinewave,
bc_noslip=sinewave,
inflow_tag=TAG_ALL,
source=None)
euler_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = euler_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
from hedge.timestep import RK4TimeStepper
stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_name = ("euler-sinewave-%(order)d-%(els)d.dat" % {
"order": order,
"els": len(mesh.elements)
})
else:
log_name = False
logmgr = LogManager(log_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -------------------------------------------------------
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=final_time,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
for step, t, dt in step_it:
#if step % 10 == 0:
if write_output:
visf = vis.make_file("sinewave-%d-%04d" % (order, step))
#from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(
visf,
[
("rho",
discr.convert_volume(op.rho(fields),
kind="numpy")),
("e",
discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u",
discr.convert_volume(op.rho_u(fields),
kind="numpy")),
("u",
discr.convert_volume(op.u(fields), kind="numpy")),
#("true_rho", op.rho(true_fields)),
#("true_e", op.e(true_fields)),
#("true_rho_u", op.rho_u(true_fields)),
#("true_u", op.u(true_fields)),
#("rhs_rho", op.rho(rhs_fields)),
#("rhs_e", op.e(rhs_fields)),
#("rhs_rho_u", op.rho_u(rhs_fields)),
],
#expressions=[
#("diff_rho", "rho-true_rho"),
#("diff_e", "e-true_e"),
#("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
#("p", "0.4*(e- 0.5*(rho_u*u))"),
#],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
finally:
vis.close()
logmgr.close()
discr.close()
true_fields = sinewave.volume_interpolant(t, discr)
eoc_rec.add_data_point(order, discr.norm(fields - true_fields))
print
print eoc_rec.pretty_print("P.Deg.", "L2 Error")
def main():
from grudge.backends import guess_run_context
rcon = guess_run_context()
if rcon.is_head_rank:
mesh = make_nacamesh()
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
from pytools import add_python_path_relative_to_script
add_python_path_relative_to_script("..")
for order in [4]:
from gas_dynamics_initials import UniformMachFlow
uniform_flow = UniformMachFlow()
from grudge.models.gas_dynamics import GasDynamicsOperator, GammaLawEOS
op = GasDynamicsOperator(dimensions=2,
equation_of_state=GammaLawEOS(
uniform_flow.gamma),
prandtl=uniform_flow.prandtl,
spec_gas_const=uniform_flow.spec_gas_const,
mu=uniform_flow.mu,
bc_inflow=uniform_flow,
bc_outflow=uniform_flow,
bc_noslip=uniform_flow,
inflow_tag="inflow",
outflow_tag="outflow",
noslip_tag="noslip")
discr = rcon.make_discretization(
mesh_data,
order=order,
debug=[
"cuda_no_plan",
#"cuda_dump_kernels",
#"dump_optemplate_stages",
#"dump_dataflow_graph",
#"print_op_code"
],
default_scalar_type=numpy.float32,
tune_for=op.sym_operator())
from grudge.visualization import SiloVisualizer, VtkVisualizer
#vis = VtkVisualizer(discr, rcon, "shearflow-%d" % order)
vis = SiloVisualizer(discr, rcon)
fields = uniform_flow.volume_interpolant(0, discr)
navierstokes_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = navierstokes_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print("---------------------------------------------")
print("order %d" % order)
print("---------------------------------------------")
print("#elements=", len(mesh.elements))
from grudge.timestep.runge_kutta import \
ODE23TimeStepper, LSRK4TimeStepper
stepper = ODE23TimeStepper(
dtype=discr.default_scalar_type,
rtol=1e-6,
vector_primitive_factory=discr.get_vector_primitive_factory())
#stepper = LSRK4TimeStepper(dtype=discr.default_scalar_type)
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
logmgr = LogManager("cns-naca-%d.dat" % order, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import LogQuantity
class ChangeSinceLastStep(LogQuantity):
"""Records the change of a variable between a time step and the previous
one"""
def __init__(self, name="change"):
LogQuantity.__init__(self, name, "1",
"Change since last time step")
self.old_fields = 0
def __call__(self):
result = discr.norm(fields - self.old_fields)
self.old_fields = fields
return result
#logmgr.add_quantity(ChangeSinceLastStep())
# filter setup-------------------------------------------------------------
from grudge.discretization import Filter, ExponentialFilterResponseFunction
mode_filter = Filter(
discr,
ExponentialFilterResponseFunction(min_amplification=0.9, order=4))
# timestep loop -------------------------------------------------------
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
try:
from grudge.timestep import times_and_steps
step_it = times_and_steps(
final_time=200,
#max_steps=500,
logmgr=logmgr,
max_dt_getter=lambda t: next_dt,
taken_dt_getter=lambda: taken_dt)
model_stepper = LSRK4TimeStepper()
next_dt = op.estimate_timestep(discr,
stepper=model_stepper,
t=0,
max_eigenvalue=max_eigval[0])
for step, t, dt in step_it:
if step % 10 == 0:
visf = vis.make_file("naca-%d-%06d" % (order, step))
from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(
visf,
[
("rho",
discr.convert_volume(op.rho(fields),
kind="numpy")),
("e",
discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u",
discr.convert_volume(op.rho_u(fields),
kind="numpy")),
("u",
discr.convert_volume(op.u(fields), kind="numpy")),
#("true_rho", op.rho(true_fields)),
#("true_e", op.e(true_fields)),
#("true_rho_u", op.rho_u(true_fields)),
#("true_u", op.u(true_fields)),
#("rhs_rho", discr.convert_volume(op.rho(rhs_fields), kind="numpy")),
#("rhs_e", discr.convert_volume(op.e(rhs_fields), kind="numpy")),
#("rhs_rho_u", discr.convert_volume(op.rho_u(rhs_fields), kind="numpy")),
],
expressions=[
#("diff_rho", "rho-true_rho"),
#("diff_e", "e-true_e"),
#("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
("p", "(0.4)*(e- 0.5*(rho_u*u))"),
],
time=t,
step=step)
visf.close()
fields, t, taken_dt, next_dt = stepper(fields, t, dt, rhs)
fields = mode_filter(fields)
finally:
vis.close()
logmgr.save()
discr.close()
def main(write_output=True) :
from math import sin, cos, pi, exp, sqrt
from hedge.data import TimeConstantGivenFunction, \
ConstantGivenFunction
from hedge.backends import guess_run_context
rcon = guess_run_context()
dim = 2
def boundary_tagger(fvi, el, fn, all_v):
if el.face_normals[fn][0] > 0:
return ["dirichlet"]
else:
return ["neumann"]
if dim == 2:
if rcon.is_head_rank:
from hedge.mesh.generator import make_disk_mesh
mesh = make_disk_mesh(r=0.5, boundary_tagger=boundary_tagger)
elif dim == 3:
if rcon.is_head_rank:
from hedge.mesh.generator import make_ball_mesh
mesh = make_ball_mesh(max_volume=0.001)
else:
raise RuntimeError, "bad number of dimensions"
if rcon.is_head_rank:
print "%d elements" % len(mesh.elements)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
discr = rcon.make_discretization(mesh_data, order=3,
debug=["cuda_no_plan"],
default_scalar_type=numpy.float64)
if write_output:
from hedge.visualization import VtkVisualizer
vis = VtkVisualizer(discr, rcon, "fld")
def u0(x, el):
if la.norm(x) < 0.2:
return 1
else:
return 0
def coeff(x, el):
if x[0] < 0:
return 0.25
else:
return 1
def dirichlet_bc(t, x):
return 0
def neumann_bc(t, x):
return 2
from hedge.models.diffusion import DiffusionOperator
op = DiffusionOperator(discr.dimensions,
#coeff=coeff,
dirichlet_tag="dirichlet",
dirichlet_bc=TimeConstantGivenFunction(ConstantGivenFunction(0)),
neumann_tag="neumann",
neumann_bc=TimeConstantGivenFunction(ConstantGivenFunction(1))
)
u = discr.interpolate_volume_function(u0)
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "heat.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
from hedge.log import LpNorm
u_getter = lambda: u
logmgr.add_quantity(LpNorm(u_getter, discr, 1, name="l1_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])
# timestep loop -----------------------------------------------------------
from hedge.timestep.runge_kutta import LSRK4TimeStepper, ODE45TimeStepper
from hedge.timestep.dumka3 import Dumka3TimeStepper
#stepper = LSRK4TimeStepper()
stepper = Dumka3TimeStepper(3, rtol=1e-6, rcon=rcon,
vector_primitive_factory=discr.get_vector_primitive_factory(),
dtype=discr.default_scalar_type)
#stepper = ODE45TimeStepper(rtol=1e-6, rcon=rcon,
#vector_primitive_factory=discr.get_vector_primitive_factory(),
#dtype=discr.default_scalar_type)
stepper.add_instrumentation(logmgr)
rhs = op.bind(discr)
try:
next_dt = op.estimate_timestep(discr,
stepper=LSRK4TimeStepper(), t=0, fields=u)
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=0.1, logmgr=logmgr,
max_dt_getter=lambda t: next_dt,
taken_dt_getter=lambda: taken_dt)
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf, [
("u", discr.convert_volume(u, kind="numpy")),
], time=t, step=step)
visf.close()
u, t, taken_dt, next_dt = stepper(u, t, next_dt, rhs)
#u = stepper(u, t, dt, rhs)
assert discr.norm(u) < 1
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True, flux_type_arg="upwind"):
from hedge.tools import mem_checkpoint
from math import sin, cos, pi, sqrt
from math import floor
from hedge.backends import guess_run_context
rcon = guess_run_context()
def f(x):
return sin(pi*x)
def u_analytic(x, el, t):
return f((-numpy.dot(v, x)/norm_v+t*norm_v))
def boundary_tagger(vertices, el, face_nr, all_v):
if numpy.dot(el.face_normals[face_nr], v) < 0:
return ["inflow"]
else:
return ["outflow"]
dim = 2
if dim == 1:
v = numpy.array([1])
if rcon.is_head_rank:
from hedge.mesh.generator import make_uniform_1d_mesh
mesh = make_uniform_1d_mesh(0, 2, 10, periodic=True)
elif dim == 2:
v = numpy.array([2,0])
if rcon.is_head_rank:
from hedge.mesh.generator import make_disk_mesh
mesh = make_disk_mesh(boundary_tagger=boundary_tagger)
elif dim == 3:
v = numpy.array([0,0,1])
if rcon.is_head_rank:
from hedge.mesh.generator import make_cylinder_mesh, make_ball_mesh, make_box_mesh
mesh = make_cylinder_mesh(max_volume=0.04, height=2, boundary_tagger=boundary_tagger,
periodic=False, radial_subdivisions=32)
else:
raise RuntimeError, "bad number of dimensions"
norm_v = la.norm(v)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
if dim != 1:
mesh_data = mesh_data.reordered_by("cuthill")
discr = rcon.make_discretization(mesh_data, order=4)
vis_discr = discr
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(vis_discr, rcon, "fld")
# operator setup ----------------------------------------------------------
from hedge.data import \
ConstantGivenFunction, \
TimeConstantGivenFunction, \
TimeDependentGivenFunction
from hedge.models.advection import StrongAdvectionOperator, WeakAdvectionOperator
op = WeakAdvectionOperator(v,
inflow_u=TimeDependentGivenFunction(u_analytic),
flux_type=flux_type_arg)
u = discr.interpolate_volume_function(lambda x, el: u_analytic(x, el, 0))
# timestep setup ----------------------------------------------------------
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper()
if rcon.is_head_rank:
print "%d elements" % len(discr.mesh.elements)
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "advection.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from hedge.log import Integral, LpNorm
u_getter = lambda: u
logmgr.add_quantity(Integral(u_getter, discr, name="int_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, p=1, name="l1_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])
# timestep loop -----------------------------------------------------------
rhs = op.bind(discr)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=3, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, fields=u))
for step, t, dt in step_it:
if step % 5 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf, [
("u", discr.convert_volume(u, kind="numpy")),
], time=t, step=step)
visf.close()
u = stepper(u, t, dt, rhs)
true_u = discr.interpolate_volume_function(lambda x, el: u_analytic(x, el, t))
print discr.norm(u-true_u)
assert discr.norm(u-true_u) < 1e-2
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main():
from hedge.backends import guess_run_context
rcon = guess_run_context( ["cuda", "mpi"])
if rcon.is_head_rank:
mesh = make_wingmesh()
#from hedge.mesh import make_rect_mesh
#mesh = make_rect_mesh(
# boundary_tagger=lambda fvi, el, fn, all_v: ["inflow"])
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [3]:
from pytools import add_python_path_relative_to_script
add_python_path_relative_to_script("..")
from gas_dynamics_initials import UniformMachFlow
wing = UniformMachFlow(angle_of_attack=0)
from hedge.models.gas_dynamics import GasDynamicsOperator
op = GasDynamicsOperator(dimensions=3,
gamma=wing.gamma, mu=wing.mu,
prandtl=wing.prandtl, spec_gas_const=wing.spec_gas_const,
bc_inflow=wing, bc_outflow=wing, bc_noslip=wing,
inflow_tag="inflow", outflow_tag="outflow", noslip_tag="noslip")
discr = rcon.make_discretization(mesh_data, order=order,
debug=["cuda_no_plan",
#"cuda_dump_kernels",
#"dump_dataflow_graph",
#"dump_optemplate_stages",
#"dump_dataflow_graph",
#"print_op_code"
"cuda_no_metis",
],
default_scalar_type=numpy.float64,
tune_for=op.op_template())
from hedge.visualization import SiloVisualizer, VtkVisualizer
#vis = VtkVisualizer(discr, rcon, "shearflow-%d" % order)
vis = SiloVisualizer(discr, rcon)
fields = wing.volume_interpolant(0, discr)
navierstokes_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = navierstokes_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
from hedge.timestep import RK4TimeStepper
stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
logmgr = LogManager("navierstokes-%d.dat" % order, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -------------------------------------------------------
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=200,
#max_steps=500,
logmgr=logmgr,
max_dt_getter=lambda t: 0.6 * op.estimate_timestep(discr,
stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
for step, t, dt in step_it:
if step % 200 == 0:
#if False:
visf = vis.make_file("wing-%d-%06d" % (order, step))
#rhs_fields = rhs(t, fields)
from pyvisfile.silo import DB_VARTYPE_VECTOR
from hedge.discretization import ones_on_boundary
vis.add_data(visf,
[
("rho", discr.convert_volume(op.rho(fields), kind="numpy")),
("e", discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u", discr.convert_volume(op.rho_u(fields), kind="numpy")),
("u", discr.convert_volume(op.u(fields), kind="numpy")),
#("rhs_rho", discr.convert_volume(op.rho(rhs_fields), kind="numpy")),
#("rhs_e", discr.convert_volume(op.e(rhs_fields), kind="numpy")),
#("rhs_rho_u", discr.convert_volume(op.rho_u(rhs_fields), kind="numpy")),
],
expressions=[
("p", "(0.4)*(e- 0.5*(rho_u*u))"),
],
time=t, step=step
)
visf.close()
fields = stepper(fields, t, dt, rhs)
t += dt
finally:
vis.close()
logmgr.save()
discr.close()
def main(write_output=True,
flux_type_arg="central",
use_quadrature=True,
final_time=20):
from math import sin, cos, pi, sqrt
from hedge.backends import guess_run_context
rcon = guess_run_context()
# mesh setup --------------------------------------------------------------
if rcon.is_head_rank:
#from hedge.mesh.generator import make_disk_mesh
#mesh = make_disk_mesh()
from hedge.mesh.generator import make_rect_mesh
mesh = make_rect_mesh(a=(-1, -1), b=(1, 1), max_area=0.008)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
# space-time-dependent-velocity-field -------------------------------------
# simple vortex
class TimeDependentVField:
""" `TimeDependentVField` is a callable expecting `(x, t)` representing space and time
`x` is of the length of the spatial dimension and `t` is the time."""
shape = (2, )
def __call__(self, pt, el, t):
x, y = pt
# Correction-Factor to make the speed zero on the on the boundary
#fac = (1-x**2)*(1-y**2)
fac = 1.
return numpy.array([-y * fac, x * fac]) * cos(pi * t)
class VField:
""" `VField` is a callable expecting `(x)` representing space
`x` is of the length of the spatial dimension."""
shape = (2, )
def __call__(self, pt, el):
x, y = pt
# Correction-Factor to make the speed zero on the on the boundary
#fac = (1-x**2)*(1-y**2)
fac = 1.
return numpy.array([-y * fac, x * fac])
# space-time-dependent State BC (optional)-----------------------------------
class TimeDependentBc_u:
""" space and time dependent BC for state u"""
def __call__(self, pt, el, t):
x, y = pt
if t <= 0.5:
if x > 0:
return 1
else:
return 0
else:
return 0
class Bc_u:
""" Only space dependent BC for state u"""
def __call__(seld, pt, el):
x, y = pt
if x > 0:
return 1
else:
return 0
# operator setup ----------------------------------------------------------
# In the operator setup it is possible to switch between a only space
# dependent velocity field `VField` or a time and space dependent
# `TimeDependentVField`.
# For `TimeDependentVField`: advec_v=TimeDependentGivenFunction(VField())
# For `VField`: advec_v=TimeConstantGivenFunction(GivenFunction(VField()))
# Same for the Bc_u Function! If you don't define Bc_u then the BC for u = 0.
from hedge.data import \
ConstantGivenFunction, \
TimeConstantGivenFunction, \
TimeDependentGivenFunction, \
GivenFunction
from hedge.models.advection import VariableCoefficientAdvectionOperator
op = VariableCoefficientAdvectionOperator(
mesh.dimensions,
#advec_v=TimeDependentGivenFunction(
# TimeDependentVField()),
advec_v=TimeConstantGivenFunction(GivenFunction(VField())),
#bc_u_f=TimeDependentGivenFunction(
# TimeDependentBc_u()),
bc_u_f=TimeConstantGivenFunction(GivenFunction(Bc_u())),
flux_type=flux_type_arg)
# discretization setup ----------------------------------------------------
order = 5
if use_quadrature:
quad_min_degrees = {"quad": 3 * order}
else:
quad_min_degrees = {}
discr = rcon.make_discretization(
mesh_data,
order=order,
default_scalar_type=numpy.float64,
debug=["cuda_no_plan"],
quad_min_degrees=quad_min_degrees,
tune_for=op.op_template(),
)
vis_discr = discr
# visualization setup -----------------------------------------------------
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(vis_discr, rcon, "fld")
# initial condition -------------------------------------------------------
if True:
def initial(pt, el):
# Gauss pulse
from math import exp
x = (pt - numpy.array([0.3, 0.5])) * 8
return exp(-numpy.dot(x, x))
else:
def initial(pt, el):
# Rectangle
x, y = pt
if abs(x) < 0.5 and abs(y) < 0.2:
return 2
else:
return 1
u = discr.interpolate_volume_function(initial)
# timestep setup ----------------------------------------------------------
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper(
vector_primitive_factory=discr.get_vector_primitive_factory())
if rcon.is_head_rank:
print "%d elements" % len(discr.mesh.elements)
# filter setup-------------------------------------------------------------
from hedge.discretization import ExponentialFilterResponseFunction
from hedge.optemplate.operators import FilterOperator
mode_filter = FilterOperator(
ExponentialFilterResponseFunction(min_amplification=0.9,order=4))\
.bind(discr)
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "space-dep.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from hedge.log import Integral, LpNorm
u_getter = lambda: u
logmgr.add_quantity(Integral(u_getter, discr, name="int_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, p=1, name="l1_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])
# Initialize v for data output:
v = op.advec_v.volume_interpolant(0, discr)
# timestep loop -----------------------------------------------------------
rhs = op.bind(discr)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(final_time=final_time,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, fields=u))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf,
[("u", discr.convert_volume(u, kind="numpy")),
("v", discr.convert_volume(v, kind="numpy"))],
time=t,
step=step)
visf.close()
u = stepper(u, t, dt, rhs)
# We're feeding in a discontinuity through the BCs.
# Quadrature does not help with shock capturing--
# therefore we do need to filter here, regardless
# of whether quadrature is enabled.
u = mode_filter(u)
assert discr.norm(u) < 10
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True):
from math import sin, cos, pi, exp, sqrt
from hedge.data import TimeConstantGivenFunction, \
ConstantGivenFunction
from hedge.backends import guess_run_context
rcon = guess_run_context()
dim = 2
def boundary_tagger(fvi, el, fn, all_v):
if el.face_normals[fn][0] > 0:
return ["dirichlet"]
else:
return ["neumann"]
if dim == 2:
if rcon.is_head_rank:
from hedge.mesh.generator import make_disk_mesh
mesh = make_disk_mesh(r=0.5, boundary_tagger=boundary_tagger)
elif dim == 3:
if rcon.is_head_rank:
from hedge.mesh.generator import make_ball_mesh
mesh = make_ball_mesh(max_volume=0.001)
else:
raise RuntimeError, "bad number of dimensions"
if rcon.is_head_rank:
print "%d elements" % len(mesh.elements)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
discr = rcon.make_discretization(mesh_data,
order=3,
debug=["cuda_no_plan"],
default_scalar_type=numpy.float64)
if write_output:
from hedge.visualization import VtkVisualizer
vis = VtkVisualizer(discr, rcon, "fld")
def u0(x, el):
if la.norm(x) < 0.2:
return 1
else:
return 0
def coeff(x, el):
if x[0] < 0:
return 0.25
else:
return 1
def dirichlet_bc(t, x):
return 0
def neumann_bc(t, x):
return 2
from hedge.models.diffusion import DiffusionOperator
op = DiffusionOperator(
discr.dimensions,
#coeff=coeff,
dirichlet_tag="dirichlet",
dirichlet_bc=TimeConstantGivenFunction(ConstantGivenFunction(0)),
neumann_tag="neumann",
neumann_bc=TimeConstantGivenFunction(ConstantGivenFunction(1)))
u = discr.interpolate_volume_function(u0)
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "heat.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
from hedge.log import LpNorm
u_getter = lambda: u
logmgr.add_quantity(LpNorm(u_getter, discr, 1, name="l1_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])
# timestep loop -----------------------------------------------------------
from hedge.timestep.runge_kutta import LSRK4TimeStepper, ODE45TimeStepper
from hedge.timestep.dumka3 import Dumka3TimeStepper
#stepper = LSRK4TimeStepper()
stepper = Dumka3TimeStepper(
3,
rtol=1e-6,
rcon=rcon,
vector_primitive_factory=discr.get_vector_primitive_factory(),
dtype=discr.default_scalar_type)
#stepper = ODE45TimeStepper(rtol=1e-6, rcon=rcon,
#vector_primitive_factory=discr.get_vector_primitive_factory(),
#dtype=discr.default_scalar_type)
stepper.add_instrumentation(logmgr)
rhs = op.bind(discr)
try:
next_dt = op.estimate_timestep(discr,
stepper=LSRK4TimeStepper(),
t=0,
fields=u)
from hedge.timestep import times_and_steps
step_it = times_and_steps(final_time=0.1,
logmgr=logmgr,
max_dt_getter=lambda t: next_dt,
taken_dt_getter=lambda: taken_dt)
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf, [
("u", discr.convert_volume(u, kind="numpy")),
],
time=t,
step=step)
visf.close()
u, t, taken_dt, next_dt = stepper(u, t, next_dt, rhs)
#u = stepper(u, t, dt, rhs)
assert discr.norm(u) < 1
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True, flux_type_arg="upwind",
#case = CenteredStationaryTestCase(),
#case = OffCenterStationaryTestCase(),
#case = OffCenterMigratingTestCase(),
case = ExactTestCase(),
):
from hedge.backends import guess_run_context
rcon = guess_run_context()
order = 3
if rcon.is_head_rank:
if True:
from hedge.mesh.generator import make_uniform_1d_mesh
mesh = make_uniform_1d_mesh(case.a, case.b, 20, periodic=True)
else:
from hedge.mesh.generator import make_rect_mesh
print (pi*2)/(11*5*2)
mesh = make_rect_mesh((-pi, -1), (pi, 1),
periodicity=(True, True),
subdivisions=(11,5),
max_area=(pi*2)/(11*5*2)
)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
discr = rcon.make_discretization(mesh_data, order=order,
quad_min_degrees={"quad": 3*order})
if write_output:
from hedge.visualization import VtkVisualizer
vis = VtkVisualizer(discr, rcon, "fld")
# operator setup ----------------------------------------------------------
from hedge.second_order import IPDGSecondDerivative
from hedge.models.burgers import BurgersOperator
op = BurgersOperator(mesh.dimensions,
viscosity_scheme=IPDGSecondDerivative())
if rcon.is_head_rank:
print "%d elements" % len(discr.mesh.elements)
# exact solution ----------------------------------------------------------
import pymbolic
var = pymbolic.var
u = discr.interpolate_volume_function(lambda x, el: case.u0(x[0]))
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "burgers.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
from hedge.log import LpNorm
u_getter = lambda: u
logmgr.add_quantity(LpNorm(u_getter, discr, p=1, name="l1_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l1_u", "t_step.max"])
# timestep loop -----------------------------------------------------------
rhs = op.bind(discr)
from hedge.timestep.runge_kutta import ODE45TimeStepper, LSRK4TimeStepper
stepper = ODE45TimeStepper()
stepper.add_instrumentation(logmgr)
try:
from hedge.timestep import times_and_steps
# for visc=0.01
#stab_fac = 0.1 # RK4
#stab_fac = 1.6 # dumka3(3), central
#stab_fac = 3 # dumka3(4), central
#stab_fac = 0.01 # RK4
stab_fac = 0.2 # dumka3(3), central
#stab_fac = 3 # dumka3(4), central
dt = stab_fac*op.estimate_timestep(discr,
stepper=LSRK4TimeStepper(), t=0, fields=u)
step_it = times_and_steps(
final_time=case.final_time, logmgr=logmgr, max_dt_getter=lambda t: dt)
from hedge.optemplate import InverseVandermondeOperator
inv_vdm = InverseVandermondeOperator().bind(discr)
for step, t, dt in step_it:
if step % 3 == 0 and write_output:
if hasattr(case, "u_exact"):
extra_fields = [
("u_exact",
discr.interpolate_volume_function(
lambda x, el: case.u_exact(x[0], t)))]
else:
extra_fields = []
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf, [
("u", u),
] + extra_fields,
time=t,
step=step)
visf.close()
u = stepper(u, t, dt, rhs)
if isinstance(case, ExactTestCase):
assert discr.norm(u, 1) < 50
finally:
if write_output:
vis.close()
logmgr.save()
def main(write_output=True,
dir_tag=TAG_NONE,
neu_tag=TAG_NONE,
rad_tag=TAG_ALL,
flux_type_arg="upwind"):
from math import sin, cos, pi, exp, sqrt # noqa
from hedge.backends import guess_run_context
rcon = guess_run_context()
dim = 2
if dim == 1:
if rcon.is_head_rank:
from hedge.mesh.generator import make_uniform_1d_mesh
mesh = make_uniform_1d_mesh(-10, 10, 500)
elif dim == 2:
from hedge.mesh.generator import make_rect_mesh
if rcon.is_head_rank:
mesh = make_rect_mesh(a=(-1, -1), b=(1, 1), max_area=0.003)
elif dim == 3:
if rcon.is_head_rank:
from hedge.mesh.generator import make_ball_mesh
mesh = make_ball_mesh(max_volume=0.0005)
else:
raise RuntimeError("bad number of dimensions")
if rcon.is_head_rank:
print "%d elements" % len(mesh.elements)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
discr = rcon.make_discretization(mesh_data, order=4)
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper()
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "fld")
source_center = np.array([0.7, 0.4])
source_width = 1 / 16
source_omega = 3
import hedge.optemplate as sym
sym_x = sym.nodes(2)
sym_source_center_dist = sym_x - source_center
from hedge.models.wave import VariableVelocityStrongWaveOperator
op = VariableVelocityStrongWaveOperator(
c=sym.If(sym.Comparison(np.dot(sym_x, sym_x), "<", 0.4**2), 1, 0.5),
dimensions=discr.dimensions,
source=sym.CFunction("sin")(source_omega * sym.ScalarParameter("t")) *
sym.CFunction("exp")(
-np.dot(sym_source_center_dist, sym_source_center_dist) /
source_width**2),
dirichlet_tag=dir_tag,
neumann_tag=neu_tag,
radiation_tag=rad_tag,
flux_type=flux_type_arg)
from hedge.tools import join_fields
fields = join_fields(
discr.volume_zeros(),
[discr.volume_zeros() for i in range(discr.dimensions)])
# {{{ diagnostics setup
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "wave.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
stepper.add_instrumentation(logmgr)
from hedge.log import LpNorm
u_getter = lambda: fields[0]
logmgr.add_quantity(LpNorm(u_getter, discr, 1, name="l1_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])
# }}}
# {{{ timestep loop
rhs = op.bind(discr)
try:
from hedge.timestep.stability import \
approximate_rk4_relative_imag_stability_region
max_dt = (1 / discr.compile(op.max_eigenvalue_expr())() *
discr.dt_non_geometric_factor() *
discr.dt_geometric_factor() *
approximate_rk4_relative_imag_stability_region(stepper))
if flux_type_arg == "central":
max_dt *= 0.25
from hedge.timestep import times_and_steps
step_it = times_and_steps(final_time=3,
logmgr=logmgr,
max_dt_getter=lambda t: max_dt)
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf, [
("u", fields[0]),
("v", fields[1:]),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
assert discr.norm(fields) < 1
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True,
flux_type_arg="upwind", dtype=numpy.float64, debug=[]):
from pytools.stopwatch import Job
from math import sin, cos, pi, exp, sqrt
from hedge.backends import guess_run_context
rcon = guess_run_context()
if rcon.is_head_rank:
from hedge.mesh.reader.gmsh import generate_gmsh
mesh = generate_gmsh(GEOMETRY, 2,
allow_internal_boundaries=True)
print "%d elements" % len(mesh.elements)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
discr = rcon.make_discretization(mesh_data, order=4, debug=debug,
default_scalar_type=dtype)
from hedge.timestep import RK4TimeStepper
stepper = RK4TimeStepper(dtype=dtype)
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "fld")
def source_u(x, el):
return exp(-numpy.dot(x, x)*128)
from hedge.models.wave import StrongWaveOperator
from hedge.mesh import TAG_ALL, TAG_NONE
from hedge.data import \
make_tdep_given, \
TimeHarmonicGivenFunction, \
TimeIntervalGivenFunction
op = StrongWaveOperator(-1, discr.dimensions,
source_f=TimeIntervalGivenFunction(
TimeHarmonicGivenFunction(
make_tdep_given(source_u), omega=10),
0, 1),
dirichlet_tag="boundary",
neumann_tag=TAG_NONE,
radiation_tag=TAG_NONE,
flux_type=flux_type_arg
)
from hedge.tools import join_fields
fields = join_fields(discr.volume_zeros(dtype=dtype),
[discr.volume_zeros(dtype=dtype) for i in range(discr.dimensions)])
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "wiggly.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -----------------------------------------------------------
rhs = op.bind(discr)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=4, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf,
[
("u", fields[0]),
("v", fields[1:]),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
assert discr.norm(fields) < 1
assert fields[0].dtype == dtype
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main():
from grudge.backends import guess_run_context
rcon = guess_run_context()
from grudge.tools import to_obj_array
if rcon.is_head_rank:
from grudge.mesh.generator import make_rect_mesh
mesh = make_rect_mesh((-5, -5), (5, 5), max_area=0.01)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [1]:
discr = rcon.make_discretization(mesh_data,
order=order,
default_scalar_type=numpy.float64)
from grudge.visualization import SiloVisualizer, VtkVisualizer
vis = VtkVisualizer(discr, rcon, "Sod2D-%d" % order)
#vis = SiloVisualizer(discr, rcon)
sod_field = Sod(gamma=1.4)
fields = sod_field.volume_interpolant(0, discr)
from grudge.models.gas_dynamics import GasDynamicsOperator
from grudge.mesh import BTAG_ALL
op = GasDynamicsOperator(dimensions=2,
gamma=sod_field.gamma,
mu=0.0,
prandtl=sod_field.prandtl,
bc_inflow=sod_field,
bc_outflow=sod_field,
bc_noslip=sod_field,
inflow_tag=BTAG_ALL,
source=None)
euler_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = euler_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print("---------------------------------------------")
print("order %d" % order)
print("---------------------------------------------")
print("#elements=", len(mesh.elements))
# limiter setup ------------------------------------------------------------
from grudge.models.gas_dynamics import SlopeLimiter1NEuler
limiter = SlopeLimiter1NEuler(discr, sod_field.gamma, 2, op)
# integrator setup---------------------------------------------------------
from grudge.timestep import SSPRK3TimeStepper, RK4TimeStepper
stepper = SSPRK3TimeStepper(limiter=limiter)
#stepper = SSPRK3TimeStepper()
#stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
logmgr = LogManager("euler-%d.dat" % order, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# filter setup-------------------------------------------------------------
from grudge.discretization import Filter, ExponentialFilterResponseFunction
mode_filter = Filter(
discr,
ExponentialFilterResponseFunction(min_amplification=0.9, order=4))
# timestep loop -------------------------------------------------------
try:
from grudge.timestep import times_and_steps
step_it = times_and_steps(
final_time=1.0,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
for step, t, dt in step_it:
if step % 5 == 0:
#if False:
visf = vis.make_file("vortex-%d-%04d" % (order, step))
#true_fields = vortex.volume_interpolant(t, discr)
#from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(
visf,
[
("rho",
discr.convert_volume(op.rho(fields),
kind="numpy")),
("e",
discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u",
discr.convert_volume(op.rho_u(fields),
kind="numpy")),
("u",
discr.convert_volume(op.u(fields), kind="numpy")),
#("true_rho", op.rho(true_fields)),
#("true_e", op.e(true_fields)),
#("true_rho_u", op.rho_u(true_fields)),
#("true_u", op.u(true_fields)),
#("rhs_rho", op.rho(rhs_fields)),
#("rhs_e", op.e(rhs_fields)),
#("rhs_rho_u", op.rho_u(rhs_fields)),
],
#expressions=[
#("diff_rho", "rho-true_rho"),
#("diff_e", "e-true_e"),
#("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
#("p", "0.4*(e- 0.5*(rho_u*u))"),
#],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
# fields = limiter(fields)
# fields = mode_filter(fields)
assert not numpy.isnan(numpy.sum(fields[0]))
finally:
vis.close()
logmgr.close()
discr.close()
# not solution, just to check against when making code changes
true_fields = sod_field.volume_interpolant(t, discr)
print(discr.norm(fields - true_fields))
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "burgers.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
from grudge.log import LpNorm
u_getter = lambda: u
logmgr.add_quantity(LpNorm(u_getter, discr, p=1, name="l1_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l1_u", "t_step.max"])
# timestep loop -----------------------------------------------------------
rhs = op.bind(discr)
from grudge.timestep.runge_kutta import ODE45TimeStepper, LSRK4TimeStepper
stepper = ODE45TimeStepper()
stepper.add_instrumentation(logmgr)
def main(write_output=True,
dir_tag=TAG_NONE, neu_tag=TAG_NONE, rad_tag=TAG_ALL,
flux_type_arg="upwind", dtype=np.float64, debug=[]):
from math import sin, cos, pi, exp, sqrt # noqa
from hedge.backends import guess_run_context
rcon = guess_run_context()
dim = 2
if dim == 1:
if rcon.is_head_rank:
from hedge.mesh.generator import make_uniform_1d_mesh
mesh = make_uniform_1d_mesh(-10, 10, 500)
elif dim == 2:
from hedge.mesh.generator import make_rect_mesh
if rcon.is_head_rank:
mesh = make_rect_mesh(a=(-0.5, -0.5), b=(0.5, 0.5), max_area=0.008)
elif dim == 3:
if rcon.is_head_rank:
from hedge.mesh.generator import make_ball_mesh
mesh = make_ball_mesh(max_volume=0.0005)
else:
raise RuntimeError("bad number of dimensions")
if rcon.is_head_rank:
print "%d elements" % len(mesh.elements)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper(dtype=dtype)
from hedge.models.wave import StrongWaveOperator
from hedge.mesh import TAG_ALL, TAG_NONE # noqa
source_center = np.array([0.1, 0.22])
source_width = 0.05
source_omega = 3
import hedge.optemplate as sym
sym_x = sym.nodes(2)
sym_source_center_dist = sym_x - source_center
op = StrongWaveOperator(-1, dim,
source_f=
sym.CFunction("sin")(source_omega*sym.ScalarParameter("t"))
* sym.CFunction("exp")(
-np.dot(sym_source_center_dist, sym_source_center_dist)
/ source_width**2),
dirichlet_tag=dir_tag,
neumann_tag=neu_tag,
radiation_tag=rad_tag,
flux_type=flux_type_arg
)
discr = rcon.make_discretization(mesh_data, order=4, debug=debug,
default_scalar_type=dtype,
tune_for=op.op_template())
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "fld")
from hedge.tools import join_fields
fields = join_fields(discr.volume_zeros(dtype=dtype),
[discr.volume_zeros(dtype=dtype) for i in range(discr.dimensions)])
# {{{ diagnostics setup
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "wave.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
stepper.add_instrumentation(logmgr)
from hedge.log import LpNorm
u_getter = lambda: fields[0]
logmgr.add_quantity(LpNorm(u_getter, discr, 1, name="l1_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])
# }}}
# {{{ timestep loop
rhs = op.bind(discr)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=4, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf,
[
("u", discr.convert_volume(fields[0], kind="numpy")),
("v", discr.convert_volume(fields[1:], kind="numpy")),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
assert discr.norm(fields) < 1
assert fields[0].dtype == dtype
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True,
flux_type_arg="upwind",
dtype=np.float64,
debug=[]):
from math import sin, cos, pi, exp, sqrt # noqa
from hedge.backends import guess_run_context
rcon = guess_run_context()
if rcon.is_head_rank:
from hedge.mesh.reader.gmsh import generate_gmsh
mesh = generate_gmsh(GEOMETRY,
2,
allow_internal_boundaries=True,
force_dimension=2)
print "%d elements" % len(mesh.elements)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
discr = rcon.make_discretization(mesh_data,
order=4,
debug=debug,
default_scalar_type=dtype)
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper(dtype=dtype)
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "fld")
source_center = 0
source_width = 0.05
source_omega = 3
import hedge.optemplate as sym
sym_x = sym.nodes(2)
sym_source_center_dist = sym_x - source_center
from hedge.models.wave import StrongWaveOperator
op = StrongWaveOperator(
-1,
discr.dimensions,
source_f=sym.CFunction("sin")(
source_omega * sym.ScalarParameter("t")) * sym.CFunction("exp")(
-np.dot(sym_source_center_dist, sym_source_center_dist) /
source_width**2),
dirichlet_tag="boundary",
neumann_tag=TAG_NONE,
radiation_tag=TAG_NONE,
flux_type=flux_type_arg)
from hedge.tools import join_fields
fields = join_fields(
discr.volume_zeros(dtype=dtype),
[discr.volume_zeros(dtype=dtype) for i in range(discr.dimensions)])
# diagnostics setup -------------------------------------------------------
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "wiggly.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -----------------------------------------------------------
rhs = op.bind(discr)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=4,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf, [
("u", fields[0]),
("v", fields[1:]),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
assert discr.norm(fields) < 1
assert fields[0].dtype == dtype
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main():
from hedge.backends import guess_run_context
rcon = guess_run_context(
#["cuda"]
)
from hedge.tools import EOCRecorder, to_obj_array
eoc_rec = EOCRecorder()
def boundary_tagger(vertices, el, face_nr, all_v):
return ["inflow"]
if rcon.is_head_rank:
from hedge.mesh import make_rect_mesh, \
make_centered_regular_rect_mesh
#mesh = make_rect_mesh((0,0), (10,1), max_area=0.01)
refine = 1
mesh = make_centered_regular_rect_mesh((0,0), (10,1), n=(20,4),
#periodicity=(True, False),
post_refine_factor=refine,
boundary_tagger=boundary_tagger)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [3]:
discr = rcon.make_discretization(mesh_data, order=order,
default_scalar_type=numpy.float64)
from hedge.visualization import SiloVisualizer, VtkVisualizer
#vis = VtkVisualizer(discr, rcon, "shearflow-%d" % order)
vis = SiloVisualizer(discr, rcon)
shearflow = SteadyShearFlow()
fields = shearflow.volume_interpolant(0, discr)
gamma, mu, prandtl, spec_gas_const = shearflow.properties()
from hedge.models.gas_dynamics import GasDynamicsOperator
op = GasDynamicsOperator(dimensions=2, gamma=gamma, mu=mu,
prandtl=prandtl, spec_gas_const=spec_gas_const,
bc_inflow=shearflow, bc_outflow=shearflow, bc_noslip=shearflow,
inflow_tag="inflow", outflow_tag="outflow", noslip_tag="noslip")
navierstokes_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = navierstokes_ex(t, q)
max_eigval[0] = speed
return ode_rhs
# needed to get first estimate of maximum eigenvalue
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
from hedge.timestep import RK4TimeStepper
stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
logmgr = LogManager("navierstokes-cpu-%d-%d.dat" % (order, refine),
"w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -------------------------------------------------------
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=0.3,
#max_steps=500,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
for step, t, dt in step_it:
if step % 10 == 0:
#if False:
visf = vis.make_file("shearflow-%d-%04d" % (order, step))
#true_fields = shearflow.volume_interpolant(t, discr)
from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(visf,
[
("rho", discr.convert_volume(op.rho(fields), kind="numpy")),
("e", discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u", discr.convert_volume(op.rho_u(fields), kind="numpy")),
("u", discr.convert_volume(op.u(fields), kind="numpy")),
#("true_rho", discr.convert_volume(op.rho(true_fields), kind="numpy")),
#("true_e", discr.convert_volume(op.e(true_fields), kind="numpy")),
#("true_rho_u", discr.convert_volume(op.rho_u(true_fields), kind="numpy")),
#("true_u", discr.convert_volume(op.u(true_fields), kind="numpy")),
],
expressions=[
#("diff_rho", "rho-true_rho"),
#("diff_e", "e-true_e"),
#("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
("p", "0.4*(e- 0.5*(rho_u*u))"),
],
time=t, step=step
)
visf.close()
fields = stepper(fields, t, dt, rhs)
true_fields = shearflow.volume_interpolant(t, discr)
l2_error = discr.norm(op.u(fields)-op.u(true_fields))
eoc_rec.add_data_point(order, l2_error)
print
print eoc_rec.pretty_print("P.Deg.", "L2 Error")
logmgr.set_constant("l2_error", l2_error)
finally:
vis.close()
logmgr.save()
discr.close()
def main(write_output=True, allow_features=None, flux_type_arg=1,
bdry_flux_type_arg=None, extra_discr_args={}):
from math import sqrt, pi
from hedge.models.em import TEMaxwellOperator
from hedge.backends import guess_run_context
rcon = guess_run_context(allow_features)
epsilon0 = 8.8541878176e-12 # C**2 / (N m**2)
mu0 = 4*pi*1e-7 # N/A**2.
c = 1/sqrt(mu0*epsilon0)
materials = {"vacuum" : (epsilon0, mu0),
"dielectric" : (2*epsilon0, mu0)}
output_dir = "2d_cavity"
import os
if not os.access(output_dir, os.F_OK):
os.makedirs(output_dir)
# should no tag raise an error or default to free space?
def eps_val(x, el):
for key in materials.keys():
if el in material_elements[key]:
return materials[key][0]
raise ValueError, "Element does not belong to any material"
def mu_val(x, el):
for key in materials.keys():
if el in material_elements[key]:
return materials[key][1]
raise ValueError, "Element does not belong to any material"
# geometry of cavity
d = 100e-3
a = 150e-3
# analytical frequency and transverse wavenumbers of resonance
f0 = 9.0335649907522321e8
h = 2*pi*f0/c
l = -h*sqrt(2)
# substitute the following and change materials for a homogeneous cavity
#h = pi/a
#l =-h
def initial_val(discr):
# the initial solution for the TE_10-like mode
def initial_Hz(x, el):
from math import cos, sin
if el in material_elements["vacuum"]:
return h*cos(h*x[0])
else:
return -l*sin(h*d)/sin(l*(a-d))*cos(l*(a-x[0]))
from hedge.tools import make_obj_array
result_zero = discr.volume_zeros(kind="numpy", dtype=numpy.float64)
H_z = make_tdep_given(initial_Hz).volume_interpolant(0, discr)
return make_obj_array([result_zero, result_zero, H_z])
if rcon.is_head_rank:
from hedge.mesh.reader.gmsh import generate_gmsh
mesh = generate_gmsh(CAVITY_GEOMETRY, 2, force_dimension=2)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
# Work out which elements belong to each material
material_elements = {}
for key in materials.keys():
material_elements[key] = set(mesh_data.tag_to_elements[key])
order = 3
#extra_discr_args.setdefault("debug", []).append("cuda_no_plan")
#extra_discr_args.setdefault("debug", []).append("dump_optemplate_stages")
from hedge.data import make_tdep_given
from hedge.mesh import TAG_ALL
op = TEMaxwellOperator(epsilon=make_tdep_given(eps_val), mu=make_tdep_given(mu_val), \
flux_type=flux_type_arg, \
bdry_flux_type=bdry_flux_type_arg, dimensions=2, pec_tag=TAG_ALL)
# op = TEMaxwellOperator(epsilon=epsilon0, mu=mu0,
# flux_type=flux_type_arg, \
# bdry_flux_type=bdry_flux_type_arg, dimensions=2, pec_tag=TAG_ALL)
discr = rcon.make_discretization(mesh_data, order=order,
tune_for=op.op_template(),
**extra_discr_args)
# create the initial solution
fields = initial_val(discr)
from hedge.visualization import VtkVisualizer
if write_output:
from os.path import join
vis = VtkVisualizer(discr, rcon, join(output_dir, "cav-%d" % order))
# monitor the solution at a point to find the resonant frequency
try:
point_getter = discr.get_point_evaluator(numpy.array([75e-3, 25e-3, 0])) #[0.25, 0.25, 0.25]))
except RuntimeError:
point_getter = None
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper(dtype=discr.default_scalar_type, rcon=rcon)
#from hedge.timestep.dumka3 import Dumka3TimeStepper
#stepper = Dumka3TimeStepper(3, dtype=discr.default_scalar_type, rcon=rcon)
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
from os.path import join
log_file_name = join(output_dir, "cavity-%d.dat" % order)
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
#from hedge.log import EMFieldGetter, add_em_quantities
#field_getter = EMFieldGetter(discr, op, lambda: fields)
#add_em_quantities(logmgr, op, field_getter)
logmgr.add_watches(
["step.max", "t_sim.max",
#("W_field", "W_el+W_mag"),
"t_step.max"]
)
# timestep loop -------------------------------------------------------
rhs = op.bind(discr)
final_time = 10e-9
if point_getter is not None:
from os.path import join
pointfile = open(join(output_dir, "point.txt"), "wt")
done_dt = False
try:
from hedge.timestep import times_and_steps
from os.path import join
step_it = times_and_steps(
final_time=final_time, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
sub_timer = vis_timer.start_sub_timer()
e, h = op.split_eh(fields)
visf = vis.make_file(join(output_dir, "cav-%d-%04d") % (order, step))
vis.add_data(visf,
[
("e",
discr.convert_volume(e, kind="numpy")),
("h",
discr.convert_volume(h, kind="numpy")),],
time=t, step=step
)
visf.close()
sub_timer.stop().submit()
fields = stepper(fields, t, dt, rhs)
if point_getter is not None:
val = point_getter(fields)
#print val
if not done_dt:
pointfile.write("#%g\n" % dt)
done_dt = True
pointfile.write("%g\n" %val[0])
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
if point_getter is not None:
pointfile.close()
def main():
from grudge.backends import guess_run_context
rcon = guess_run_context(["cuda", "mpi"])
if rcon.is_head_rank:
mesh = make_wingmesh()
#from grudge.mesh import make_rect_mesh
#mesh = make_rect_mesh(
# boundary_tagger=lambda fvi, el, fn, all_v: ["inflow"])
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [3]:
from pytools import add_python_path_relative_to_script
add_python_path_relative_to_script("..")
from gas_dynamics_initials import UniformMachFlow
wing = UniformMachFlow(angle_of_attack=0)
from grudge.models.gas_dynamics import GasDynamicsOperator
op = GasDynamicsOperator(dimensions=3,
gamma=wing.gamma,
mu=wing.mu,
prandtl=wing.prandtl,
spec_gas_const=wing.spec_gas_const,
bc_inflow=wing,
bc_outflow=wing,
bc_noslip=wing,
inflow_tag="inflow",
outflow_tag="outflow",
noslip_tag="noslip")
discr = rcon.make_discretization(
mesh_data,
order=order,
debug=[
"cuda_no_plan",
#"cuda_dump_kernels",
#"dump_dataflow_graph",
#"dump_optemplate_stages",
#"dump_dataflow_graph",
#"print_op_code"
"cuda_no_metis",
],
default_scalar_type=numpy.float64,
tune_for=op.sym_operator())
from grudge.visualization import SiloVisualizer, VtkVisualizer
#vis = VtkVisualizer(discr, rcon, "shearflow-%d" % order)
vis = SiloVisualizer(discr, rcon)
fields = wing.volume_interpolant(0, discr)
navierstokes_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = navierstokes_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print("---------------------------------------------")
print("order %d" % order)
print("---------------------------------------------")
print("#elements=", len(mesh.elements))
from grudge.timestep import RK4TimeStepper
stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
logmgr = LogManager("navierstokes-%d.dat" % order, "w",
rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -------------------------------------------------------
try:
from grudge.timestep import times_and_steps
step_it = times_and_steps(
final_time=200,
#max_steps=500,
logmgr=logmgr,
max_dt_getter=lambda t: 0.6 * op.estimate_timestep(
discr, stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
for step, t, dt in step_it:
if step % 200 == 0:
#if False:
visf = vis.make_file("wing-%d-%06d" % (order, step))
#rhs_fields = rhs(t, fields)
from pyvisfile.silo import DB_VARTYPE_VECTOR
from grudge.discretization import ones_on_boundary
vis.add_data(
visf,
[
("rho",
discr.convert_volume(op.rho(fields),
kind="numpy")),
("e",
discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u",
discr.convert_volume(op.rho_u(fields),
kind="numpy")),
("u",
discr.convert_volume(op.u(fields), kind="numpy")),
#("rhs_rho", discr.convert_volume(op.rho(rhs_fields), kind="numpy")),
#("rhs_e", discr.convert_volume(op.e(rhs_fields), kind="numpy")),
#("rhs_rho_u", discr.convert_volume(op.rho_u(rhs_fields), kind="numpy")),
],
expressions=[
("p", "(0.4)*(e- 0.5*(rho_u*u))"),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
t += dt
finally:
vis.close()
logmgr.save()
discr.close()
def main():
import logging
logging.basicConfig(level=logging.INFO)
from grudge.backends import guess_run_context
rcon = guess_run_context()
if rcon.is_head_rank:
if True:
mesh = make_squaremesh()
else:
from grudge.mesh import make_rect_mesh
mesh = make_rect_mesh(
boundary_tagger=lambda fvi, el, fn, all_v: ["inflow"],
max_area=0.1)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
from pytools import add_python_path_relative_to_script
add_python_path_relative_to_script(".")
for order in [3]:
from gas_dynamics_initials import UniformMachFlow
square = UniformMachFlow(gaussian_pulse_at=numpy.array([-2, 2]),
pulse_magnitude=0.003)
from grudge.models.gas_dynamics import (GasDynamicsOperator,
GammaLawEOS)
op = GasDynamicsOperator(dimensions=2,
equation_of_state=GammaLawEOS(square.gamma),
mu=square.mu,
prandtl=square.prandtl,
spec_gas_const=square.spec_gas_const,
bc_inflow=square,
bc_outflow=square,
bc_noslip=square,
inflow_tag="inflow",
outflow_tag="outflow",
noslip_tag="noslip")
discr = rcon.make_discretization(
mesh_data,
order=order,
debug=[
"cuda_no_plan",
"cuda_dump_kernels",
#"dump_dataflow_graph",
#"dump_optemplate_stages",
#"dump_dataflow_graph",
#"dump_op_code"
#"cuda_no_plan_el_local"
],
default_scalar_type=numpy.float64,
tune_for=op.sym_operator(),
quad_min_degrees={
"gasdyn_vol": 3 * order,
"gasdyn_face": 3 * order,
})
from grudge.visualization import SiloVisualizer, VtkVisualizer
#vis = VtkVisualizer(discr, rcon, "shearflow-%d" % order)
vis = SiloVisualizer(discr, rcon)
from grudge.timestep.runge_kutta import (LSRK4TimeStepper,
ODE23TimeStepper,
ODE45TimeStepper)
from grudge.timestep.dumka3 import Dumka3TimeStepper
#stepper = LSRK4TimeStepper(dtype=discr.default_scalar_type,
#vector_primitive_factory=discr.get_vector_primitive_factory())
stepper = ODE23TimeStepper(
dtype=discr.default_scalar_type,
rtol=1e-6,
vector_primitive_factory=discr.get_vector_primitive_factory())
# Dumka works kind of poorly
#stepper = Dumka3TimeStepper(dtype=discr.default_scalar_type,
#rtol=1e-7, pol_index=2,
#vector_primitive_factory=discr.get_vector_primitive_factory())
#from grudge.timestep.dumka3 import Dumka3TimeStepper
#stepper = Dumka3TimeStepper(3, rtol=1e-7)
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
logmgr = LogManager("cns-square-sp-%d.dat" % order, "w",
rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import LogQuantity
class ChangeSinceLastStep(LogQuantity):
"""Records the change of a variable between a time step and the previous
one"""
def __init__(self, name="change"):
LogQuantity.__init__(self, name, "1",
"Change since last time step")
self.old_fields = 0
def __call__(self):
result = discr.norm(fields - self.old_fields)
self.old_fields = fields
return result
#logmgr.add_quantity(ChangeSinceLastStep())
add_simulation_quantities(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# filter setup ------------------------------------------------------------
from grudge.discretization import Filter, ExponentialFilterResponseFunction
mode_filter = Filter(
discr,
ExponentialFilterResponseFunction(min_amplification=0.95, order=6))
# timestep loop -------------------------------------------------------
fields = square.volume_interpolant(0, discr)
navierstokes_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = navierstokes_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print("---------------------------------------------")
print("order %d" % order)
print("---------------------------------------------")
print("#elements=", len(mesh.elements))
try:
from grudge.timestep import times_and_steps
step_it = times_and_steps(
final_time=1000,
#max_steps=500,
logmgr=logmgr,
max_dt_getter=lambda t: next_dt,
taken_dt_getter=lambda: taken_dt)
model_stepper = LSRK4TimeStepper()
next_dt = op.estimate_timestep(discr,
stepper=model_stepper,
t=0,
max_eigenvalue=max_eigval[0])
for step, t, dt in step_it:
#if (step % 10000 == 0): #and step < 950000) or (step % 500 == 0 and step > 950000):
#if False:
if step % 5 == 0:
visf = vis.make_file("square-%d-%06d" % (order, step))
#from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(visf, [
("rho",
discr.convert_volume(op.rho(fields), kind="numpy")),
("e", discr.convert_volume(op.e(fields),
kind="numpy")),
("rho_u",
discr.convert_volume(op.rho_u(fields), kind="numpy")),
("u", discr.convert_volume(op.u(fields),
kind="numpy")),
],
expressions=[
("p", "(0.4)*(e- 0.5*(rho_u*u))"),
],
time=t,
step=step)
visf.close()
if stepper.adaptive:
fields, t, taken_dt, next_dt = stepper(fields, t, dt, rhs)
else:
taken_dt = dt
fields = stepper(fields, t, dt, rhs)
dt = op.estimate_timestep(discr,
stepper=model_stepper,
t=0,
max_eigenvalue=max_eigval[0])
#fields = mode_filter(fields)
finally:
vis.close()
logmgr.save()
discr.close()
def main(write_output=True, allow_features=None):
from grudge.timestep import RK4TimeStepper
from grudge.mesh import make_ball_mesh, make_cylinder_mesh, make_box_mesh
from grudge.visualization import \
VtkVisualizer, \
SiloVisualizer, \
get_rank_partition
from math import sqrt, pi
from grudge.backends import guess_run_context
rcon = guess_run_context(allow_features)
epsilon0 = 8.8541878176e-12 # C**2 / (N m**2)
mu0 = 4 * pi * 1e-7 # N/A**2.
epsilon = 1 * epsilon0
mu = 1 * mu0
dims = 3
if rcon.is_head_rank:
if dims == 2:
from grudge.mesh import make_rect_mesh
mesh = make_rect_mesh(a=(-10.5, -1.5), b=(10.5, 1.5), max_area=0.1)
elif dims == 3:
from grudge.mesh import make_box_mesh
mesh = make_box_mesh(a=(-10.5, -1.5, -1.5),
b=(10.5, 1.5, 1.5),
max_volume=0.1)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
#for order in [1,2,3,4,5,6]:
discr = rcon.make_discretization(mesh_data, order=3)
if write_output:
vis = VtkVisualizer(discr, rcon, "dipole")
from analytic_solutions import DipoleFarField, SphericalFieldAdapter
from grudge.data import ITimeDependentGivenFunction
sph_dipole = DipoleFarField(
q=1, #C
d=1 / 39,
omega=2 * pi * 1e8,
epsilon=epsilon0,
mu=mu0,
)
cart_dipole = SphericalFieldAdapter(sph_dipole)
class PointDipoleSource(ITimeDependentGivenFunction):
def __init__(self):
from pyrticle.tools import CInfinityShapeFunction
sf = CInfinityShapeFunction(0.1 * sph_dipole.wavelength,
discr.dimensions)
self.num_sf = discr.interpolate_volume_function(
lambda x, el: sf(x))
self.vol_0 = discr.volume_zeros()
def volume_interpolant(self, t, discr):
from grudge.tools import make_obj_array
return make_obj_array([
self.vol_0, self.vol_0,
sph_dipole.source_modulation(t) * self.num_sf
])
from grudge.mesh import BTAG_ALL, BTAG_NONE
if dims == 2:
from grudge.models.em import TMMaxwellOperator as MaxwellOperator
else:
from grudge.models.em import MaxwellOperator
op = MaxwellOperator(
epsilon,
mu,
flux_type=1,
pec_tag=BTAG_NONE,
absorb_tag=BTAG_ALL,
current=PointDipoleSource(),
)
fields = op.assemble_eh(discr=discr)
if rcon.is_head_rank:
print("#elements=", len(mesh.elements))
stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = "dipole.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
from grudge.log import EMFieldGetter, add_em_quantities
field_getter = EMFieldGetter(discr, op, lambda: fields)
add_em_quantities(logmgr, op, field_getter)
from pytools.log import PushLogQuantity
relerr_e_q = PushLogQuantity("relerr_e", "1",
"Relative error in masked E-field")
relerr_h_q = PushLogQuantity("relerr_h", "1",
"Relative error in masked H-field")
logmgr.add_quantity(relerr_e_q)
logmgr.add_quantity(relerr_h_q)
logmgr.add_watches([
"step.max", "t_sim.max", ("W_field", "W_el+W_mag"), "t_step.max",
"relerr_e", "relerr_h"
])
if write_output:
point_timeseries = [(open("b-x%d-vs-time.dat" % i,
"w"), open("b-x%d-vs-time-true.dat" % i,
"w"),
discr.get_point_evaluator(
numpy.array([i, 0, 0][:dims],
dtype=discr.default_scalar_type)))
for i in range(1, 5)]
# timestep loop -------------------------------------------------------
mask = discr.interpolate_volume_function(sph_dipole.far_field_mask)
def apply_mask(field):
from grudge.tools import log_shape
ls = log_shape(field)
result = discr.volume_empty(ls)
from pytools import indices_in_shape
for i in indices_in_shape(ls):
result[i] = mask * field[i]
return result
rhs = op.bind(discr)
t = 0
try:
from grudge.timestep import times_and_steps
step_it = times_and_steps(
final_time=1e-8,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if write_output and step % 10 == 0:
sub_timer = vis_timer.start_sub_timer()
e, h = op.split_eh(fields)
sph_dipole.set_time(t)
true_e, true_h = op.split_eh(
discr.interpolate_volume_function(cart_dipole))
visf = vis.make_file("dipole-%04d" % step)
mask_e = apply_mask(e)
mask_h = apply_mask(h)
mask_true_e = apply_mask(true_e)
mask_true_h = apply_mask(true_h)
from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(visf, [("e", e), ("h", h), ("true_e", true_e),
("true_h", true_h), ("mask_e", mask_e),
("mask_h", mask_h),
("mask_true_e", mask_true_e),
("mask_true_h", mask_true_h)],
time=t,
step=step)
visf.close()
sub_timer.stop().submit()
from grudge.tools import relative_error
relerr_e_q.push_value(
relative_error(discr.norm(mask_e - mask_true_e),
discr.norm(mask_true_e)))
relerr_h_q.push_value(
relative_error(discr.norm(mask_h - mask_true_h),
discr.norm(mask_true_h)))
if write_output:
for outf_num, outf_true, evaluator in point_timeseries:
for outf, ev_h in zip([outf_num, outf_true],
[h, true_h]):
outf.write("%g\t%g\n" %
(t, op.mu * evaluator(ev_h[1])))
outf.flush()
fields = stepper(fields, t, dt, rhs)
finally:
if write_output:
vis.close()
logmgr.save()
discr.close()
def main(write_output=True,
dir_tag=TAG_NONE,
neu_tag=TAG_NONE,
rad_tag=TAG_ALL,
flux_type_arg="upwind"):
from math import sin, cos, pi, exp, sqrt # noqa
from hedge.backends import guess_run_context
rcon = guess_run_context()
dim = 2
if dim == 1:
if rcon.is_head_rank:
from hedge.mesh.generator import make_uniform_1d_mesh
mesh = make_uniform_1d_mesh(-10, 10, 500)
elif dim == 2:
from hedge.mesh.generator import make_rect_mesh
if rcon.is_head_rank:
mesh = make_rect_mesh(a=(-1, -1), b=(1, 1), max_area=0.003)
elif dim == 3:
if rcon.is_head_rank:
from hedge.mesh.generator import make_ball_mesh
mesh = make_ball_mesh(max_volume=0.0005)
else:
raise RuntimeError("bad number of dimensions")
if rcon.is_head_rank:
print "%d elements" % len(mesh.elements)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
discr = rcon.make_discretization(mesh_data, order=4)
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper()
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "fld")
source_center = np.array([0.7, 0.4])
source_width = 1/16
source_omega = 3
import hedge.optemplate as sym
sym_x = sym.nodes(2)
sym_source_center_dist = sym_x - source_center
from hedge.models.wave import VariableVelocityStrongWaveOperator
op = VariableVelocityStrongWaveOperator(
c=sym.If(sym.Comparison(
np.dot(sym_x, sym_x), "<", 0.4**2),
1, 0.5),
dimensions=discr.dimensions,
source=
sym.CFunction("sin")(source_omega*sym.ScalarParameter("t"))
* sym.CFunction("exp")(
-np.dot(sym_source_center_dist, sym_source_center_dist)
/ source_width**2),
dirichlet_tag=dir_tag,
neumann_tag=neu_tag,
radiation_tag=rad_tag,
flux_type=flux_type_arg
)
from hedge.tools import join_fields
fields = join_fields(discr.volume_zeros(),
[discr.volume_zeros() for i in range(discr.dimensions)])
# {{{ diagnostics setup
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "wave.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
stepper.add_instrumentation(logmgr)
from hedge.log import LpNorm
u_getter = lambda: fields[0]
logmgr.add_quantity(LpNorm(u_getter, discr, 1, name="l1_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])
# }}}
# {{{ timestep loop
rhs = op.bind(discr)
try:
from hedge.timestep.stability import \
approximate_rk4_relative_imag_stability_region
max_dt = (
1/discr.compile(op.max_eigenvalue_expr())()
* discr.dt_non_geometric_factor()
* discr.dt_geometric_factor()
* approximate_rk4_relative_imag_stability_region(stepper))
if flux_type_arg == "central":
max_dt *= 0.25
from hedge.timestep import times_and_steps
step_it = times_and_steps(final_time=3, logmgr=logmgr,
max_dt_getter=lambda t: max_dt)
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf,
[
("u", fields[0]),
("v", fields[1:]),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
assert discr.norm(fields) < 1
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True, order=6):
from hedge.data import TimeConstantGivenFunction, \
GivenFunction
from os.path import join
from hedge.backends import guess_run_context
rcon = guess_run_context()
dim = 3
output_dir = "octahedron"
import os
if not os.access(output_dir, os.F_OK):
os.makedirs(output_dir)
if rcon.is_head_rank:
from hedge.mesh.reader.gmsh import read_gmsh
mesh = read_gmsh("octahedron.msh",
boundary_tagger=lambda x,y,z,w: ["traction"])
if rcon.is_head_rank:
print "%d elements" % len(mesh.elements)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
class Displacement:
shape = (3,)
def __call__(self, x, el):
R = x[0] + x[1] + x[2]
return [-R/30, -R/30, -R/30]
final_time = 3
discr = rcon.make_discretization(mesh_data, order=order,
debug=[])
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, join(output_dir, "test-%d" % order))
if rcon.is_head_rank:
print "order %d" % order
print "#elements=", len(mesh.elements)
from hedge.mesh import TAG_NONE, TAG_ALL
from hedge.models.solid_mechanics import SolidMechanicsOperator
from hedge.models.solid_mechanics.constitutive_laws import NeoHookean
material = NeoHookean(50, 10, 0.3)
op = SolidMechanicsOperator(material,
init_displacement=GivenFunction(Displacement()),
dimensions=discr.dimensions)
fields = op.assemble_vars(discr=discr)
from hedge.timestep import LSRK4TimeStepper
stepper = LSRK4TimeStepper()
from time import time
last_tsep = time()
t = 0
# diagnostics setup -------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = join(output_dir, "oct-%d.dat" % order)
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
p_calc = op.bind_stress_calculator(discr)
rhs = op.bind(discr)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=final_time, logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr,
stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
u, v = op.split_vars(fields)
P = p_calc(u)
if step % 5 == 0 and write_output:
visf = vis.make_file(join(output_dir, "oct-%d-%04d" % (order, step)))
vis.add_data(visf,
[
("u", discr.convert_volume(u, "numpy")),
("v", discr.convert_volume(v, "numpy")),
("P", discr.convert_volume(P, "numpy"))
],
time=t, step=step
)
visf.close()
fields = stepper(fields, t, dt, rhs)
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main():
from hedge.backends import guess_run_context
rcon = guess_run_context()
from hedge.tools import to_obj_array
if rcon.is_head_rank:
from hedge.mesh.generator import make_rect_mesh
mesh = make_rect_mesh((-5, -5), (5, 5), max_area=0.01)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [1]:
discr = rcon.make_discretization(mesh_data, order=order, default_scalar_type=numpy.float64)
from hedge.visualization import SiloVisualizer, VtkVisualizer
vis = VtkVisualizer(discr, rcon, "Sod2D-%d" % order)
# vis = SiloVisualizer(discr, rcon)
sod_field = Sod(gamma=1.4)
fields = sod_field.volume_interpolant(0, discr)
from hedge.models.gas_dynamics import GasDynamicsOperator
from hedge.mesh import TAG_ALL
op = GasDynamicsOperator(
dimensions=2,
gamma=sod_field.gamma,
mu=0.0,
prandtl=sod_field.prandtl,
bc_inflow=sod_field,
bc_outflow=sod_field,
bc_noslip=sod_field,
inflow_tag=TAG_ALL,
source=None,
)
euler_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = euler_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
# limiter setup ------------------------------------------------------------
from hedge.models.gas_dynamics import SlopeLimiter1NEuler
limiter = SlopeLimiter1NEuler(discr, sod_field.gamma, 2, op)
# integrator setup---------------------------------------------------------
from hedge.timestep import SSPRK3TimeStepper, RK4TimeStepper
stepper = SSPRK3TimeStepper(limiter=limiter)
# stepper = SSPRK3TimeStepper()
# stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, add_simulation_quantities, add_run_info
logmgr = LogManager("euler-%d.dat" % order, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# filter setup-------------------------------------------------------------
from hedge.discretization import Filter, ExponentialFilterResponseFunction
mode_filter = Filter(discr, ExponentialFilterResponseFunction(min_amplification=0.9, order=4))
# timestep loop -------------------------------------------------------
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=1.0,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(discr, stepper=stepper, t=t, max_eigenvalue=max_eigval[0]),
)
for step, t, dt in step_it:
if step % 5 == 0:
# if False:
visf = vis.make_file("vortex-%d-%04d" % (order, step))
# true_fields = vortex.volume_interpolant(t, discr)
# from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(
visf,
[
("rho", discr.convert_volume(op.rho(fields), kind="numpy")),
("e", discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u", discr.convert_volume(op.rho_u(fields), kind="numpy")),
("u", discr.convert_volume(op.u(fields), kind="numpy")),
# ("true_rho", op.rho(true_fields)),
# ("true_e", op.e(true_fields)),
# ("true_rho_u", op.rho_u(true_fields)),
# ("true_u", op.u(true_fields)),
# ("rhs_rho", op.rho(rhs_fields)),
# ("rhs_e", op.e(rhs_fields)),
# ("rhs_rho_u", op.rho_u(rhs_fields)),
],
# expressions=[
# ("diff_rho", "rho-true_rho"),
# ("diff_e", "e-true_e"),
# ("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
# ("p", "0.4*(e- 0.5*(rho_u*u))"),
# ],
time=t,
step=step,
)
visf.close()
fields = stepper(fields, t, dt, rhs)
# fields = limiter(fields)
# fields = mode_filter(fields)
assert not numpy.isnan(numpy.sum(fields[0]))
finally:
vis.close()
logmgr.close()
discr.close()
# not solution, just to check against when making code changes
true_fields = sod_field.volume_interpolant(t, discr)
print discr.norm(fields - true_fields)
def main():
from grudge.backends import guess_run_context
rcon = guess_run_context(["cuda"])
if rcon.is_head_rank:
mesh = make_boxmesh()
#from grudge.mesh import make_rect_mesh
#mesh = make_rect_mesh(
# boundary_tagger=lambda fvi, el, fn, all_v: ["inflow"])
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [3]:
from pytools import add_python_path_relative_to_script
add_python_path_relative_to_script("..")
from gas_dynamics_initials import UniformMachFlow
box = UniformMachFlow(angle_of_attack=0)
from grudge.models.gas_dynamics import GasDynamicsOperator
op = GasDynamicsOperator(dimensions=3,
gamma=box.gamma,
mu=box.mu,
prandtl=box.prandtl,
spec_gas_const=box.spec_gas_const,
bc_inflow=box,
bc_outflow=box,
bc_noslip=box,
inflow_tag="inflow",
outflow_tag="outflow",
noslip_tag="noslip")
discr = rcon.make_discretization(
mesh_data,
order=order,
debug=[
#"cuda_no_plan",
#"cuda_dump_kernels",
#"dump_dataflow_graph",
#"dump_optemplate_stages",
#"dump_dataflow_graph",
#"print_op_code",
"cuda_no_plan_el_local",
],
default_scalar_type=numpy.float32,
tune_for=op.sym_operator())
from grudge.visualization import SiloVisualizer, VtkVisualizer # noqa
#vis = VtkVisualizer(discr, rcon, "shearflow-%d" % order)
vis = SiloVisualizer(discr, rcon)
fields = box.volume_interpolant(0, discr)
navierstokes_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = navierstokes_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print("---------------------------------------------")
print("order %d" % order)
print("---------------------------------------------")
print("#elements=", len(mesh.elements))
from grudge.timestep import RK4TimeStepper
stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
logmgr = LogManager("navierstokes-%d.dat" % order, "w",
rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
from pytools.log import LogQuantity
class ChangeSinceLastStep(LogQuantity):
"""Records the change of a variable between a time step and the previous
one"""
def __init__(self, name="change"):
LogQuantity.__init__(self, name, "1",
"Change since last time step")
self.old_fields = 0
def __call__(self):
result = discr.norm(fields - self.old_fields)
self.old_fields = fields
return result
logmgr.add_quantity(ChangeSinceLastStep())
# timestep loop -------------------------------------------------------
try:
from grudge.timestep import times_and_steps
step_it = times_and_steps(
final_time=200,
#max_steps=500,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
for step, t, dt in step_it:
if step % 200 == 0:
#if False:
visf = vis.make_file("box-%d-%06d" % (order, step))
#rhs_fields = rhs(t, fields)
vis.add_data(
visf,
[
("rho",
discr.convert_volume(op.rho(fields),
kind="numpy")),
("e",
discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u",
discr.convert_volume(op.rho_u(fields),
kind="numpy")),
("u",
discr.convert_volume(op.u(fields), kind="numpy")),
# ("rhs_rho", discr.convert_volume(
# op.rho(rhs_fields), kind="numpy")),
# ("rhs_e", discr.convert_volume(
# op.e(rhs_fields), kind="numpy")),
# ("rhs_rho_u", discr.convert_volume(
# op.rho_u(rhs_fields), kind="numpy")),
],
expressions=[
("p", "(0.4)*(e- 0.5*(rho_u*u))"),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
finally:
vis.close()
logmgr.save()
discr.close()
def main(write_output=True,
dir_tag=TAG_NONE,
neu_tag=TAG_NONE,
rad_tag=TAG_ALL,
flux_type_arg="upwind",
dtype=np.float64,
debug=[]):
from math import sin, cos, pi, exp, sqrt # noqa
from hedge.backends import guess_run_context
rcon = guess_run_context()
dim = 2
if dim == 1:
if rcon.is_head_rank:
from hedge.mesh.generator import make_uniform_1d_mesh
mesh = make_uniform_1d_mesh(-10, 10, 500)
elif dim == 2:
from hedge.mesh.generator import make_rect_mesh
if rcon.is_head_rank:
mesh = make_rect_mesh(a=(-0.5, -0.5), b=(0.5, 0.5), max_area=0.008)
elif dim == 3:
if rcon.is_head_rank:
from hedge.mesh.generator import make_ball_mesh
mesh = make_ball_mesh(max_volume=0.0005)
else:
raise RuntimeError("bad number of dimensions")
if rcon.is_head_rank:
print "%d elements" % len(mesh.elements)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper(dtype=dtype)
from hedge.models.wave import StrongWaveOperator
from hedge.mesh import TAG_ALL, TAG_NONE # noqa
source_center = np.array([0.1, 0.22])
source_width = 0.05
source_omega = 3
import hedge.optemplate as sym
sym_x = sym.nodes(2)
sym_source_center_dist = sym_x - source_center
op = StrongWaveOperator(
-1,
dim,
source_f=sym.CFunction("sin")(
source_omega * sym.ScalarParameter("t")) * sym.CFunction("exp")(
-np.dot(sym_source_center_dist, sym_source_center_dist) /
source_width**2),
dirichlet_tag=dir_tag,
neumann_tag=neu_tag,
radiation_tag=rad_tag,
flux_type=flux_type_arg)
discr = rcon.make_discretization(mesh_data,
order=4,
debug=debug,
default_scalar_type=dtype,
tune_for=op.op_template())
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "fld")
from hedge.tools import join_fields
fields = join_fields(
discr.volume_zeros(dtype=dtype),
[discr.volume_zeros(dtype=dtype) for i in range(discr.dimensions)])
# {{{ diagnostics setup
from pytools.log import LogManager, \
add_general_quantities, \
add_simulation_quantities, \
add_run_info
if write_output:
log_file_name = "wave.dat"
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
stepper.add_instrumentation(logmgr)
from hedge.log import LpNorm
u_getter = lambda: fields[0]
logmgr.add_quantity(LpNorm(u_getter, discr, 1, name="l1_u"))
logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))
logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])
# }}}
# {{{ timestep loop
rhs = op.bind(discr)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=4,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if step % 10 == 0 and write_output:
visf = vis.make_file("fld-%04d" % step)
vis.add_data(visf, [
("u", discr.convert_volume(fields[0], kind="numpy")),
("v", discr.convert_volume(fields[1:], kind="numpy")),
],
time=t,
step=step)
visf.close()
fields = stepper(fields, t, dt, rhs)
assert discr.norm(fields) < 1
assert fields[0].dtype == dtype
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True):
from hedge.backends import guess_run_context
rcon = guess_run_context(
#["cuda"]
)
gamma = 1.4
# at A=1 we have case of isentropic vortex, source terms
# arise for other values
densityA = 2.0
from hedge.tools import EOCRecorder, to_obj_array
eoc_rec = EOCRecorder()
if rcon.is_head_rank:
from hedge.mesh import \
make_rect_mesh, \
make_centered_regular_rect_mesh
refine = 1
mesh = make_centered_regular_rect_mesh((0,-5), (10,5), n=(9,9),
post_refine_factor=refine)
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [4,5]:
discr = rcon.make_discretization(mesh_data, order=order,
debug=[#"cuda_no_plan",
#"print_op_code"
],
default_scalar_type=numpy.float64)
from hedge.visualization import SiloVisualizer, VtkVisualizer
#vis = VtkVisualizer(discr, rcon, "vortex-%d" % order)
vis = SiloVisualizer(discr, rcon)
vortex = Vortex(beta=5, gamma=gamma,
center=[5,0],
velocity=[1,0], densityA=densityA)
fields = vortex.volume_interpolant(0, discr)
sources=SourceTerms(beta=5, gamma=gamma,
center=[5,0],
velocity=[1,0], densityA=densityA)
from hedge.models.gas_dynamics import (
GasDynamicsOperator, GammaLawEOS)
from hedge.mesh import TAG_ALL
op = GasDynamicsOperator(dimensions=2,
mu=0.0, prandtl=0.72, spec_gas_const=287.1,
equation_of_state=GammaLawEOS(vortex.gamma),
bc_inflow=vortex, bc_outflow=vortex, bc_noslip=vortex,
inflow_tag=TAG_ALL, source=sources)
euler_ex = op.bind(discr)
max_eigval = [0]
def rhs(t, q):
ode_rhs, speed = euler_ex(t, q)
max_eigval[0] = speed
return ode_rhs
rhs(0, fields)
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
# limiter setup -------------------------------------------------------
from hedge.models.gas_dynamics import SlopeLimiter1NEuler
limiter = SlopeLimiter1NEuler(discr, gamma, 2, op)
# time stepper --------------------------------------------------------
from hedge.timestep import SSPRK3TimeStepper, RK4TimeStepper
#stepper = SSPRK3TimeStepper(limiter=limiter)
#stepper = SSPRK3TimeStepper()
stepper = RK4TimeStepper()
# diagnostics setup ---------------------------------------------------
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = "euler-%d.dat" % order
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])
# timestep loop -------------------------------------------------------
t = 0
#fields = limiter(fields)
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=.1,
#max_steps=500,
logmgr=logmgr,
max_dt_getter=lambda t: 0.4*op.estimate_timestep(discr,
stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))
for step, t, dt in step_it:
if step % 1 == 0 and write_output:
#if False:
visf = vis.make_file("vortex-%d-%04d" % (order, step))
true_fields = vortex.volume_interpolant(t, discr)
#rhs_fields = rhs(t, fields)
from pyvisfile.silo import DB_VARTYPE_VECTOR
vis.add_data(visf,
[
("rho", discr.convert_volume(op.rho(fields), kind="numpy")),
("e", discr.convert_volume(op.e(fields), kind="numpy")),
("rho_u", discr.convert_volume(op.rho_u(fields), kind="numpy")),
("u", discr.convert_volume(op.u(fields), kind="numpy")),
#("true_rho", discr.convert_volume(op.rho(true_fields), kind="numpy")),
#("true_e", discr.convert_volume(op.e(true_fields), kind="numpy")),
#("true_rho_u", discr.convert_volume(op.rho_u(true_fields), kind="numpy")),
#("true_u", discr.convert_volume(op.u(true_fields), kind="numpy")),
#("rhs_rho", discr.convert_volume(op.rho(rhs_fields), kind="numpy")),
#("rhs_e", discr.convert_volume(op.e(rhs_fields), kind="numpy")),
#("rhs_rho_u", discr.convert_volume(op.rho_u(rhs_fields), kind="numpy")),
],
expressions=[
#("diff_rho", "rho-true_rho"),
#("diff_e", "e-true_e"),
#("diff_rho_u", "rho_u-true_rho_u", DB_VARTYPE_VECTOR),
("p", "0.4*(e- 0.5*(rho_u*u))"),
],
time=t, step=step
)
visf.close()
fields = stepper(fields, t, dt, rhs)
true_fields = vortex.volume_interpolant(t, discr)
l2_error = discr.norm(fields-true_fields)
l2_error_rho = discr.norm(op.rho(fields)-op.rho(true_fields))
l2_error_e = discr.norm(op.e(fields)-op.e(true_fields))
l2_error_rhou = discr.norm(op.rho_u(fields)-op.rho_u(true_fields))
l2_error_u = discr.norm(op.u(fields)-op.u(true_fields))
eoc_rec.add_data_point(order, l2_error_rho)
print
print eoc_rec.pretty_print("P.Deg.", "L2 Error")
logmgr.set_constant("l2_error", l2_error)
logmgr.set_constant("l2_error_rho", l2_error_rho)
logmgr.set_constant("l2_error_e", l2_error_e)
logmgr.set_constant("l2_error_rhou", l2_error_rhou)
logmgr.set_constant("l2_error_u", l2_error_u)
logmgr.set_constant("refinement", refine)
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
def main(write_output=True,
allow_features=None,
flux_type_arg=1,
bdry_flux_type_arg=None,
extra_discr_args={}):
from hedge.mesh.generator import make_cylinder_mesh, make_box_mesh
from hedge.tools import EOCRecorder, to_obj_array
from math import sqrt, pi # noqa
from analytic_solutions import ( # noqa
RealPartAdapter, SplitComplexAdapter, CylindricalFieldAdapter,
CylindricalCavityMode, RectangularWaveguideMode, RectangularCavityMode)
from hedge.models.em import MaxwellOperator
logging.basicConfig(level=logging.DEBUG)
from hedge.backends import guess_run_context
rcon = guess_run_context(allow_features)
epsilon0 = 8.8541878176e-12 # C**2 / (N m**2)
mu0 = 4 * pi * 1e-7 # N/A**2.
epsilon = 1 * epsilon0
mu = 1 * mu0
eoc_rec = EOCRecorder()
cylindrical = False
periodic = False
if cylindrical:
R = 1
d = 2
mode = CylindricalCavityMode(m=1,
n=1,
p=1,
radius=R,
height=d,
epsilon=epsilon,
mu=mu)
# r_sol = CylindricalFieldAdapter(RealPartAdapter(mode))
# c_sol = SplitComplexAdapter(CylindricalFieldAdapter(mode))
if rcon.is_head_rank:
mesh = make_cylinder_mesh(radius=R, height=d, max_volume=0.01)
else:
if periodic:
mode = RectangularWaveguideMode(epsilon, mu, (3, 2, 1))
periodicity = (False, False, True)
else:
periodicity = None
mode = RectangularCavityMode(epsilon, mu, (1, 2, 2))
if rcon.is_head_rank:
mesh = make_box_mesh(max_volume=0.001, periodicity=periodicity)
if rcon.is_head_rank:
mesh_data = rcon.distribute_mesh(mesh)
else:
mesh_data = rcon.receive_mesh()
for order in [4, 5, 6]:
#for order in [1,2,3,4,5,6]:
extra_discr_args.setdefault("debug", []).extend(
["cuda_no_plan", "cuda_dump_kernels"])
op = MaxwellOperator(epsilon,
mu,
flux_type=flux_type_arg,
bdry_flux_type=bdry_flux_type_arg)
discr = rcon.make_discretization(mesh_data,
order=order,
tune_for=op.op_template(),
**extra_discr_args)
from hedge.visualization import VtkVisualizer
if write_output:
vis = VtkVisualizer(discr, rcon, "em-%d" % order)
mode.set_time(0)
def get_true_field():
return discr.convert_volume(to_obj_array(
mode(discr).real.astype(discr.default_scalar_type).copy()),
kind=discr.compute_kind)
fields = get_true_field()
if rcon.is_head_rank:
print "---------------------------------------------"
print "order %d" % order
print "---------------------------------------------"
print "#elements=", len(mesh.elements)
from hedge.timestep.runge_kutta import LSRK4TimeStepper
stepper = LSRK4TimeStepper(dtype=discr.default_scalar_type, rcon=rcon)
#from hedge.timestep.dumka3 import Dumka3TimeStepper
#stepper = Dumka3TimeStepper(3, dtype=discr.default_scalar_type, rcon=rcon)
# {{{ diagnostics setup
from pytools.log import LogManager, add_general_quantities, \
add_simulation_quantities, add_run_info
if write_output:
log_file_name = "maxwell-%d.dat" % order
else:
log_file_name = None
logmgr = LogManager(log_file_name, "w", rcon.communicator)
add_run_info(logmgr)
add_general_quantities(logmgr)
add_simulation_quantities(logmgr)
discr.add_instrumentation(logmgr)
stepper.add_instrumentation(logmgr)
from pytools.log import IntervalTimer
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
from hedge.log import EMFieldGetter, add_em_quantities
field_getter = EMFieldGetter(discr, op, lambda: fields)
add_em_quantities(logmgr, op, field_getter)
logmgr.add_watches(
["step.max", "t_sim.max", ("W_field", "W_el+W_mag"), "t_step.max"])
# }}}
# {{{ timestep loop
rhs = op.bind(discr)
final_time = 0.5e-9
try:
from hedge.timestep import times_and_steps
step_it = times_and_steps(
final_time=final_time,
logmgr=logmgr,
max_dt_getter=lambda t: op.estimate_timestep(
discr, stepper=stepper, t=t, fields=fields))
for step, t, dt in step_it:
if step % 50 == 0 and write_output:
sub_timer = vis_timer.start_sub_timer()
e, h = op.split_eh(fields)
visf = vis.make_file("em-%d-%04d" % (order, step))
vis.add_data(visf, [
("e", discr.convert_volume(e, kind="numpy")),
("h", discr.convert_volume(h, kind="numpy")),
],
time=t,
step=step)
visf.close()
sub_timer.stop().submit()
fields = stepper(fields, t, dt, rhs)
mode.set_time(final_time)
eoc_rec.add_data_point(order,
discr.norm(fields - get_true_field()))
finally:
if write_output:
vis.close()
logmgr.close()
discr.close()
if rcon.is_head_rank:
print
print eoc_rec.pretty_print("P.Deg.", "L2 Error")
# }}}
assert eoc_rec.estimate_order_of_convergence()[0, 1] > 6