def _get_scalar_lump():
from mirgecom.eos import IdealSingleGas
from mirgecom.gas_model import GasModel, make_fluid_state
gas_model = GasModel(eos=IdealSingleGas())
from mirgecom.initializers import MulticomponentLump
init = MulticomponentLump(
dim=2, nspecies=3, velocity=np.ones(2), spec_y0s=np.ones(3),
spec_amplitudes=np.ones(3))
def _my_boundary(discr, btag, gas_model, state_minus, **kwargs):
actx = state_minus.array_context
bnd_discr = discr.discr_from_dd(btag)
nodes = thaw(bnd_discr.nodes(), actx)
return make_fluid_state(init(x_vec=nodes, eos=gas_model.eos,
**kwargs), gas_model)
from meshmode.mesh import BTAG_ALL
from mirgecom.boundary import PrescribedFluidBoundary
boundaries = {
BTAG_ALL: PrescribedFluidBoundary(boundary_state_func=_my_boundary)
}
return gas_model, init, boundaries, 5e-12
def main(ctx_factory=cl.create_some_context,
use_logmgr=True,
use_leap=False,
use_profiling=False,
casename=None,
rst_filename=None,
actx_class=PyOpenCLArrayContext):
"""Drive the example."""
cl_ctx = ctx_factory()
if casename is None:
casename = "mirgecom"
from mpi4py import MPI
comm = MPI.COMM_WORLD
rank = comm.Get_rank()
num_parts = comm.Get_size()
from mirgecom.simutil import global_reduce as _global_reduce
global_reduce = partial(_global_reduce, comm=comm)
logmgr = initialize_logmgr(use_logmgr,
filename=f"{casename}.sqlite",
mode="wu",
mpi_comm=comm)
if use_profiling:
queue = cl.CommandQueue(
cl_ctx, properties=cl.command_queue_properties.PROFILING_ENABLE)
else:
queue = cl.CommandQueue(cl_ctx)
actx = actx_class(queue,
allocator=cl_tools.MemoryPool(
cl_tools.ImmediateAllocator(queue)))
# timestepping control
current_step = 0
if use_leap:
from leap.rk import RK4MethodBuilder
timestepper = RK4MethodBuilder("state")
else:
timestepper = rk4_step
t_final = 0.01
current_cfl = 1.0
current_dt = .001
current_t = 0
constant_cfl = False
# some i/o frequencies
nrestart = 10
nstatus = 1
nviz = 10
nhealth = 10
dim = 2
if dim != 2:
raise ValueError("This example must be run with dim = 2.")
rst_path = "restart_data/"
rst_pattern = (rst_path + "{cname}-{step:04d}-{rank:04d}.pkl")
if rst_filename: # read the grid from restart data
rst_filename = f"{rst_filename}-{rank:04d}.pkl"
from mirgecom.restart import read_restart_data
restart_data = read_restart_data(actx, rst_filename)
local_mesh = restart_data["local_mesh"]
local_nelements = local_mesh.nelements
global_nelements = restart_data["global_nelements"]
assert restart_data["num_parts"] == num_parts
else: # generate the grid from scratch
nel_1d = 16
box_ll = -5.0
box_ur = 5.0
from meshmode.mesh.generation import generate_regular_rect_mesh
generate_mesh = partial(generate_regular_rect_mesh,
a=(box_ll, ) * dim,
b=(box_ur, ) * dim,
nelements_per_axis=(nel_1d, ) * dim)
local_mesh, global_nelements = generate_and_distribute_mesh(
comm, generate_mesh)
local_nelements = local_mesh.nelements
order = 3
discr = EagerDGDiscretization(actx,
local_mesh,
order=order,
mpi_communicator=comm)
nodes = thaw(discr.nodes(), actx)
vis_timer = None
if logmgr:
logmgr_add_device_name(logmgr, queue)
logmgr_add_device_memory_usage(logmgr, queue)
logmgr_add_many_discretization_quantities(logmgr, discr, dim,
extract_vars_for_logging,
units_for_logging)
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
logmgr.add_watches([
("step.max", "step = {value}, "),
("t_sim.max", "sim time: {value:1.6e} s\n"),
("min_pressure", "------- P (min, max) (Pa) = ({value:1.9e}, "),
("max_pressure", "{value:1.9e})\n"),
("t_step.max", "------- step walltime: {value:6g} s, "),
("t_log.max", "log walltime: {value:6g} s")
])
try:
logmgr.add_watches(
["memory_usage_python.max", "memory_usage_gpu.max"])
except KeyError:
pass
if use_profiling:
logmgr.add_watches(["multiply_time.max"])
# soln setup and init
eos = IdealSingleGas()
vel = np.zeros(shape=(dim, ))
orig = np.zeros(shape=(dim, ))
vel[:dim] = 1.0
initializer = Vortex2D(center=orig, velocity=vel)
gas_model = GasModel(eos=eos)
def boundary_solution(discr, btag, gas_model, state_minus, **kwargs):
actx = state_minus.array_context
bnd_discr = discr.discr_from_dd(btag)
nodes = thaw(bnd_discr.nodes(), actx)
return make_fluid_state(
initializer(x_vec=nodes, eos=gas_model.eos, **kwargs), gas_model)
boundaries = {
BTAG_ALL:
PrescribedFluidBoundary(boundary_state_func=boundary_solution)
}
if rst_filename:
current_t = restart_data["t"]
current_step = restart_data["step"]
current_cv = restart_data["cv"]
if logmgr:
from mirgecom.logging_quantities import logmgr_set_time
logmgr_set_time(logmgr, current_step, current_t)
else:
# Set the current state from time 0
current_cv = initializer(nodes)
current_state = make_fluid_state(current_cv, gas_model)
visualizer = make_visualizer(discr)
initname = initializer.__class__.__name__
eosname = eos.__class__.__name__
init_message = make_init_message(dim=dim,
order=order,
nelements=local_nelements,
global_nelements=global_nelements,
dt=current_dt,
t_final=t_final,
nstatus=nstatus,
nviz=nviz,
cfl=current_cfl,
constant_cfl=constant_cfl,
initname=initname,
eosname=eosname,
casename=casename)
if rank == 0:
logger.info(init_message)
def my_write_status(state, component_errors, cfl=None):
if cfl is None:
if constant_cfl:
cfl = current_cfl
else:
from grudge.op import nodal_max
from mirgecom.inviscid import get_inviscid_cfl
cfl = actx.to_numpy(
nodal_max(discr, "vol",
get_inviscid_cfl(discr, state, current_dt)))[()]
if rank == 0:
logger.info(f"------ {cfl=}\n"
"------- errors=" +
", ".join("%.3g" % en for en in component_errors))
def my_write_viz(step, t, state, dv=None, exact=None, resid=None):
if exact is None:
exact = initializer(x_vec=nodes, eos=eos, time=t)
if resid is None:
resid = state - exact
viz_fields = [("cv", state), ("dv", dv), ("exact", exact),
("residual", resid)]
from mirgecom.simutil import write_visfile
write_visfile(discr,
viz_fields,
visualizer,
vizname=casename,
step=step,
t=t,
overwrite=True,
vis_timer=vis_timer)
def my_write_restart(step, t, state):
rst_fname = rst_pattern.format(cname=casename, step=step, rank=rank)
if rst_fname != rst_filename:
rst_data = {
"local_mesh": local_mesh,
"cv": state,
"t": t,
"step": step,
"order": order,
"global_nelements": global_nelements,
"num_parts": num_parts
}
from mirgecom.restart import write_restart_file
write_restart_file(actx, rst_data, rst_fname, comm)
def my_health_check(pressure, component_errors):
health_error = False
from mirgecom.simutil import check_naninf_local, check_range_local
if check_naninf_local(discr, "vol", pressure) \
or check_range_local(discr, "vol", pressure, .2, 1.02):
health_error = True
logger.info(f"{rank=}: Invalid pressure data found.")
exittol = .1
if max(component_errors) > exittol:
health_error = True
if rank == 0:
logger.info("Solution diverged from exact soln.")
return health_error
def my_pre_step(step, t, dt, state):
fluid_state = make_fluid_state(state, gas_model)
cv = fluid_state.cv
dv = fluid_state.dv
try:
exact = None
component_errors = None
if logmgr:
logmgr.tick_before()
do_viz = check_step(step=step, interval=nviz)
do_restart = check_step(step=step, interval=nrestart)
do_health = check_step(step=step, interval=nhealth)
do_status = check_step(step=step, interval=nstatus)
if do_health:
exact = initializer(x_vec=nodes, eos=eos, time=t)
from mirgecom.simutil import compare_fluid_solutions
component_errors = compare_fluid_solutions(discr, cv, exact)
health_errors = global_reduce(my_health_check(
dv.pressure, component_errors),
op="lor")
if health_errors:
if rank == 0:
logger.info("Fluid solution failed health check.")
raise MyRuntimeError("Failed simulation health check.")
if do_restart:
my_write_restart(step=step, t=t, state=cv)
if do_status:
if component_errors is None:
if exact is None:
exact = initializer(x_vec=nodes, eos=eos, time=t)
from mirgecom.simutil import compare_fluid_solutions
component_errors = compare_fluid_solutions(
discr, cv, exact)
my_write_status(fluid_state, component_errors)
if do_viz:
if exact is None:
exact = initializer(x_vec=nodes, eos=eos, time=t)
resid = state - exact
my_write_viz(step=step,
t=t,
state=cv,
dv=dv,
exact=exact,
resid=resid)
except MyRuntimeError:
if rank == 0:
logger.info("Errors detected; attempting graceful exit.")
my_write_viz(step=step, t=t, state=cv)
my_write_restart(step=step, t=t, state=cv)
raise
dt = get_sim_timestep(discr, fluid_state, t, dt, current_cfl, t_final,
constant_cfl)
return state, dt
def my_post_step(step, t, dt, state):
# Logmgr needs to know about EOS, dt, dim?
# imo this is a design/scope flaw
if logmgr:
set_dt(logmgr, dt)
set_sim_state(logmgr, dim, state, eos)
logmgr.tick_after()
return state, dt
def my_rhs(t, state):
fluid_state = make_fluid_state(state, gas_model)
return euler_operator(discr,
state=fluid_state,
time=t,
boundaries=boundaries,
gas_model=gas_model)
current_dt = get_sim_timestep(discr, current_state, current_t, current_dt,
current_cfl, t_final, constant_cfl)
current_step, current_t, current_cv = \
advance_state(rhs=my_rhs, timestepper=timestepper,
pre_step_callback=my_pre_step,
post_step_callback=my_post_step, dt=current_dt,
state=current_state.cv, t=current_t, t_final=t_final)
# Dump the final data
if rank == 0:
logger.info("Checkpointing final state ...")
current_state = make_fluid_state(current_cv, gas_model)
final_dv = current_state.dv
final_exact = initializer(x_vec=nodes, eos=eos, time=current_t)
final_resid = current_state.cv - final_exact
my_write_viz(step=current_step,
t=current_t,
state=current_state.cv,
dv=final_dv,
exact=final_exact,
resid=final_resid)
my_write_restart(step=current_step, t=current_t, state=current_state.cv)
if logmgr:
logmgr.close()
elif use_profiling:
print(actx.tabulate_profiling_data())
finish_tol = 1e-16
assert np.abs(current_t - t_final) < finish_tol
def main(ctx_factory=cl.create_some_context, use_logmgr=True,
use_leap=False, use_profiling=False, casename=None,
rst_filename=None, actx_class=PyOpenCLArrayContext,
log_dependent=True):
"""Drive example."""
cl_ctx = ctx_factory()
if casename is None:
casename = "mirgecom"
from mpi4py import MPI
comm = MPI.COMM_WORLD
rank = comm.Get_rank()
nparts = comm.Get_size()
from mirgecom.simutil import global_reduce as _global_reduce
global_reduce = partial(_global_reduce, comm=comm)
logmgr = initialize_logmgr(use_logmgr,
filename=f"{casename}.sqlite", mode="wu", mpi_comm=comm)
if use_profiling:
queue = cl.CommandQueue(
cl_ctx, properties=cl.command_queue_properties.PROFILING_ENABLE)
else:
queue = cl.CommandQueue(cl_ctx)
actx = actx_class(
queue,
allocator=cl_tools.MemoryPool(cl_tools.ImmediateAllocator(queue)))
# timestepping control
if use_leap:
from leap.rk import RK4MethodBuilder
timestepper = RK4MethodBuilder("state")
else:
timestepper = rk4_step
t_final = 1e-8
current_cfl = 1.0
current_dt = 1e-9
current_t = 0
current_step = 0
constant_cfl = False
# some i/o frequencies
nstatus = 1
nhealth = 1
nrestart = 5
nviz = 1
dim = 2
rst_path = "restart_data/"
rst_pattern = (
rst_path + "{cname}-{step:04d}-{rank:04d}.pkl"
)
if rst_filename: # read the grid from restart data
rst_filename = f"{rst_filename}-{rank:04d}.pkl"
from mirgecom.restart import read_restart_data
restart_data = read_restart_data(actx, rst_filename)
local_mesh = restart_data["local_mesh"]
local_nelements = local_mesh.nelements
global_nelements = restart_data["global_nelements"]
assert restart_data["num_parts"] == nparts
else: # generate the grid from scratch
nel_1d = 16
box_ll = -5.0
box_ur = 5.0
from meshmode.mesh.generation import generate_regular_rect_mesh
generate_mesh = partial(generate_regular_rect_mesh, a=(box_ll,)*dim,
b=(box_ur,) * dim, nelements_per_axis=(nel_1d,)*dim)
local_mesh, global_nelements = generate_and_distribute_mesh(comm,
generate_mesh)
local_nelements = local_mesh.nelements
order = 3
discr = EagerDGDiscretization(
actx, local_mesh, order=order, mpi_communicator=comm
)
nodes = thaw(discr.nodes(), actx)
vis_timer = None
if logmgr:
logmgr_add_device_name(logmgr, queue)
logmgr_add_device_memory_usage(logmgr, queue)
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
logmgr.add_watches([
("step.max", "step = {value}, "),
("t_sim.max", "sim time: {value:1.6e} s\n"),
("t_step.max", "------- step walltime: {value:6g} s, "),
("t_log.max", "log walltime: {value:6g} s")
])
if log_dependent:
logmgr_add_many_discretization_quantities(logmgr, discr, dim,
extract_vars_for_logging,
units_for_logging)
logmgr.add_watches([
("min_pressure", "\n------- P (min, max) (Pa) = ({value:1.9e}, "),
("max_pressure", "{value:1.9e})\n"),
("min_temperature", "------- T (min, max) (K) = ({value:7g}, "),
("max_temperature", "{value:7g})\n")])
# Pyrometheus initialization
from mirgecom.mechanisms import get_mechanism_cti
mech_cti = get_mechanism_cti("uiuc")
sol = cantera.Solution(phase_id="gas", source=mech_cti)
from mirgecom.thermochemistry import make_pyrometheus_mechanism_class
pyrometheus_mechanism = make_pyrometheus_mechanism_class(sol)(actx.np)
nspecies = pyrometheus_mechanism.num_species
eos = PyrometheusMixture(pyrometheus_mechanism)
from mirgecom.gas_model import GasModel, make_fluid_state
gas_model = GasModel(eos=eos)
from pytools.obj_array import make_obj_array
y0s = np.zeros(shape=(nspecies,))
for i in range(nspecies-1):
y0s[i] = 1.0 / (10.0 ** (i + 1))
spec_sum = sum([y0s[i] for i in range(nspecies-1)])
y0s[nspecies-1] = 1.0 - spec_sum
# Mixture defaults to STP (p, T) = (1atm, 300K)
velocity = np.zeros(shape=(dim,)) + 1.0
initializer = MixtureInitializer(dim=dim, nspecies=nspecies,
massfractions=y0s, velocity=velocity)
def boundary_solution(discr, btag, gas_model, state_minus, **kwargs):
actx = state_minus.array_context
bnd_discr = discr.discr_from_dd(btag)
nodes = thaw(bnd_discr.nodes(), actx)
return make_fluid_state(initializer(x_vec=nodes, eos=gas_model.eos,
**kwargs), gas_model,
temperature_seed=state_minus.temperature)
boundaries = {
BTAG_ALL: PrescribedFluidBoundary(boundary_state_func=boundary_solution)
}
if rst_filename:
current_t = restart_data["t"]
current_step = restart_data["step"]
current_cv = restart_data["cv"]
tseed = restart_data["temperature_seed"]
if logmgr:
from mirgecom.logging_quantities import logmgr_set_time
logmgr_set_time(logmgr, current_step, current_t)
else:
# Set the current state from time 0
current_cv = initializer(x_vec=nodes, eos=eos)
tseed = 300.0
current_state = make_fluid_state(current_cv, gas_model, temperature_seed=tseed)
visualizer = make_visualizer(discr)
initname = initializer.__class__.__name__
eosname = eos.__class__.__name__
init_message = make_init_message(dim=dim, order=order,
nelements=local_nelements,
global_nelements=global_nelements,
dt=current_dt, t_final=t_final, nstatus=nstatus,
nviz=nviz, cfl=current_cfl,
constant_cfl=constant_cfl, initname=initname,
eosname=eosname, casename=casename)
if rank == 0:
logger.info(init_message)
def my_write_status(component_errors, dv=None):
from mirgecom.simutil import allsync
status_msg = (
"------- errors="
+ ", ".join("%.3g" % en for en in component_errors))
if ((dv is not None) and (not log_dependent)):
temp = dv.temperature
press = dv.pressure
from grudge.op import nodal_min_loc, nodal_max_loc
tmin = allsync(actx.to_numpy(nodal_min_loc(discr, "vol", temp)),
comm=comm, op=MPI.MIN)
tmax = allsync(actx.to_numpy(nodal_max_loc(discr, "vol", temp)),
comm=comm, op=MPI.MAX)
pmin = allsync(actx.to_numpy(nodal_min_loc(discr, "vol", press)),
comm=comm, op=MPI.MIN)
pmax = allsync(actx.to_numpy(nodal_max_loc(discr, "vol", press)),
comm=comm, op=MPI.MAX)
dv_status_msg = f"\nP({pmin}, {pmax}), T({tmin}, {tmax})"
status_msg = status_msg + dv_status_msg
if rank == 0:
logger.info(status_msg)
if rank == 0:
logger.info(status_msg)
def my_write_viz(step, t, state, dv, exact=None, resid=None):
if exact is None:
exact = initializer(x_vec=nodes, eos=eos, time=t)
if resid is None:
resid = state - exact
viz_fields = [("cv", state), ("dv", dv)]
from mirgecom.simutil import write_visfile
write_visfile(discr, viz_fields, visualizer, vizname=casename,
step=step, t=t, overwrite=True, vis_timer=vis_timer)
def my_write_restart(step, t, state, tseed):
rst_fname = rst_pattern.format(cname=casename, step=step, rank=rank)
if rst_fname != rst_filename:
rst_data = {
"local_mesh": local_mesh,
"cv": state,
"temperature_seed": tseed,
"t": t,
"step": step,
"order": order,
"global_nelements": global_nelements,
"num_parts": nparts
}
from mirgecom.restart import write_restart_file
write_restart_file(actx, rst_data, rst_fname, comm)
def my_health_check(dv, component_errors):
health_error = False
from mirgecom.simutil import check_naninf_local, check_range_local
if check_naninf_local(discr, "vol", dv.pressure) \
or check_range_local(discr, "vol", dv.pressure, 1e5, 1.1e5):
health_error = True
logger.info(f"{rank=}: Invalid pressure data found.")
exittol = .09
if max(component_errors) > exittol:
health_error = True
if rank == 0:
logger.info("Solution diverged from exact soln.")
return health_error
def my_pre_step(step, t, dt, state):
cv, tseed = state
fluid_state = make_fluid_state(cv, gas_model, temperature_seed=tseed)
dv = fluid_state.dv
try:
exact = None
component_errors = None
if logmgr:
logmgr.tick_before()
from mirgecom.simutil import check_step
do_viz = check_step(step=step, interval=nviz)
do_restart = check_step(step=step, interval=nrestart)
do_health = check_step(step=step, interval=nhealth)
do_status = check_step(step=step, interval=nstatus)
if do_health:
exact = initializer(x_vec=nodes, eos=eos, time=t)
from mirgecom.simutil import compare_fluid_solutions
component_errors = compare_fluid_solutions(discr, cv, exact)
health_errors = global_reduce(
my_health_check(dv, component_errors), op="lor")
if health_errors:
if rank == 0:
logger.info("Fluid solution failed health check.")
raise MyRuntimeError("Failed simulation health check.")
if do_restart:
my_write_restart(step=step, t=t, state=cv, tseed=tseed)
if do_viz:
if exact is None:
exact = initializer(x_vec=nodes, eos=eos, time=t)
resid = state - exact
my_write_viz(step=step, t=t, state=cv, dv=dv, exact=exact,
resid=resid)
if do_status:
if component_errors is None:
if exact is None:
exact = initializer(x_vec=nodes, eos=eos, time=t)
from mirgecom.simutil import compare_fluid_solutions
component_errors = compare_fluid_solutions(discr, cv, exact)
my_write_status(component_errors, dv=dv)
except MyRuntimeError:
if rank == 0:
logger.info("Errors detected; attempting graceful exit.")
my_write_viz(step=step, t=t, state=cv, dv=dv)
my_write_restart(step=step, t=t, state=cv, tseed=tseed)
raise
dt = get_sim_timestep(discr, fluid_state, t, dt, current_cfl, t_final,
constant_cfl)
return state, dt
def my_post_step(step, t, dt, state):
cv, tseed = state
fluid_state = make_fluid_state(cv, gas_model, temperature_seed=tseed)
tseed = fluid_state.temperature
# Logmgr needs to know about EOS, dt, dim?
# imo this is a design/scope flaw
if logmgr:
set_dt(logmgr, dt)
set_sim_state(logmgr, dim, cv, eos)
logmgr.tick_after()
return make_obj_array([fluid_state.cv, tseed]), dt
def my_rhs(t, state):
cv, tseed = state
fluid_state = make_fluid_state(cv, gas_model, temperature_seed=tseed)
return make_obj_array(
[euler_operator(discr, state=fluid_state, time=t,
boundaries=boundaries, gas_model=gas_model),
0*tseed])
current_dt = get_sim_timestep(discr, current_state, current_t, current_dt,
current_cfl, t_final, constant_cfl)
current_step, current_t, advanced_state = \
advance_state(rhs=my_rhs, timestepper=timestepper,
pre_step_callback=my_pre_step,
post_step_callback=my_post_step, dt=current_dt,
state=make_obj_array([current_state.cv,
current_state.temperature]),
t=current_t, t_final=t_final, eos=eos, dim=dim)
# Dump the final data
if rank == 0:
logger.info("Checkpointing final state ...")
current_cv, tseed = advanced_state
current_state = make_fluid_state(current_cv, gas_model, temperature_seed=tseed)
final_dv = current_state.dv
final_exact = initializer(x_vec=nodes, eos=eos, time=current_t)
final_resid = current_state.cv - final_exact
my_write_viz(step=current_step, t=current_t, state=current_cv, dv=final_dv,
exact=final_exact, resid=final_resid)
my_write_restart(step=current_step, t=current_t, state=current_state.cv,
tseed=tseed)
if logmgr:
logmgr.close()
elif use_profiling:
print(actx.tabulate_profiling_data())
finish_tol = 1e-16
assert np.abs(current_t - t_final) < finish_tol
def test_isentropic_vortex(actx_factory, order, use_overintegration):
"""Advance the 2D isentropic vortex case in time with non-zero velocities.
This test uses an RK4 timestepping scheme, and checks the advanced field values
against the exact/analytic expressions. This tests all parts of the Euler module
working together, with results converging at the expected rates vs. the order.
"""
actx = actx_factory()
dim = 2
from pytools.convergence import EOCRecorder
eoc_rec = EOCRecorder()
for nel_1d in [16, 32, 64]:
from meshmode.mesh.generation import (
generate_regular_rect_mesh,
)
mesh = generate_regular_rect_mesh(
a=(-5.0,) * dim, b=(5.0,) * dim, nelements_per_axis=(nel_1d,) * dim
)
exittol = 1.0
t_final = 0.001
cfl = 1.0
vel = np.zeros(shape=(dim,))
orig = np.zeros(shape=(dim,))
vel[:dim] = 1.0
dt = .0001
initializer = Vortex2D(center=orig, velocity=vel)
casename = "Vortex"
def _vortex_boundary(discr, btag, state_minus, gas_model, **kwargs):
actx = state_minus.array_context
bnd_discr = discr.discr_from_dd(btag)
nodes = thaw(bnd_discr.nodes(), actx)
return make_fluid_state(initializer(x_vec=nodes, **kwargs), gas_model)
boundaries = {
BTAG_ALL: PrescribedFluidBoundary(boundary_state_func=_vortex_boundary)
}
eos = IdealSingleGas()
t = 0
flowparams = {"dim": dim, "dt": dt, "order": order, "time": t,
"boundaries": boundaries, "initializer": initializer,
"eos": eos, "casename": casename, "mesh": mesh,
"tfinal": t_final, "exittol": exittol, "cfl": cfl,
"constantcfl": False, "nstatus": 0,
"use_overintegration": use_overintegration}
maxerr = _euler_flow_stepper(actx, flowparams)
eoc_rec.add_data_point(1.0 / nel_1d, maxerr)
logger.info(
f"Error for (dim,order) = ({dim},{order}):\n"
f"{eoc_rec}"
)
assert (
eoc_rec.order_estimate() >= order - 0.5
or eoc_rec.max_error() < 1e-11
)
def test_multilump_rhs(actx_factory, dim, order, v0, use_overintegration):
"""Test the Euler rhs using the non-trivial 1, 2, and 3D mass lump case.
The case is tested against the analytic expressions of the RHS. Checks several
different orders and refinement levels to check error behavior.
"""
actx = actx_factory()
nspecies = 10
tolerance = 1e-8
maxxerr = 0.0
from pytools.convergence import EOCRecorder
eoc_rec = EOCRecorder()
for nel_1d in [4, 8, 12]:
from meshmode.mesh.generation import (
generate_regular_rect_mesh,
)
mesh = generate_regular_rect_mesh(
a=(-1,) * dim, b=(1,) * dim, nelements_per_axis=(nel_1d,) * dim,
)
logger.info(f"Number of elements: {mesh.nelements}")
from grudge.dof_desc import DISCR_TAG_BASE, DISCR_TAG_QUAD
from meshmode.discretization.poly_element import \
default_simplex_group_factory, QuadratureSimplexGroupFactory
discr = EagerDGDiscretization(
actx, mesh,
discr_tag_to_group_factory={
DISCR_TAG_BASE: default_simplex_group_factory(
base_dim=dim, order=order),
DISCR_TAG_QUAD: QuadratureSimplexGroupFactory(2*order + 1)
}
)
if use_overintegration:
quadrature_tag = DISCR_TAG_QUAD
else:
quadrature_tag = None
nodes = thaw(discr.nodes(), actx)
centers = make_obj_array([np.zeros(shape=(dim,)) for i in range(nspecies)])
spec_y0s = np.ones(shape=(nspecies,))
spec_amplitudes = np.ones(shape=(nspecies,))
velocity = np.zeros(shape=(dim,))
velocity[0] = v0
rho0 = 2.0
lump = MulticomponentLump(dim=dim, nspecies=nspecies, rho0=rho0,
spec_centers=centers, velocity=velocity,
spec_y0s=spec_y0s, spec_amplitudes=spec_amplitudes)
lump_soln = lump(nodes)
gas_model = GasModel(eos=IdealSingleGas())
fluid_state = make_fluid_state(lump_soln, gas_model)
def _my_boundary(discr, btag, gas_model, state_minus, **kwargs):
actx = state_minus.array_context
bnd_discr = discr.discr_from_dd(btag)
nodes = thaw(bnd_discr.nodes(), actx)
return make_fluid_state(lump(x_vec=nodes, **kwargs), gas_model)
boundaries = {
BTAG_ALL: PrescribedFluidBoundary(boundary_state_func=_my_boundary)
}
inviscid_rhs = euler_operator(
discr, state=fluid_state, gas_model=gas_model, boundaries=boundaries,
time=0.0, quadrature_tag=quadrature_tag
)
expected_rhs = lump.exact_rhs(discr, cv=lump_soln, time=0)
print(f"inviscid_rhs = {inviscid_rhs}")
print(f"expected_rhs = {expected_rhs}")
err_max = actx.to_numpy(
discr.norm((inviscid_rhs-expected_rhs), np.inf))
if err_max > maxxerr:
maxxerr = err_max
eoc_rec.add_data_point(1.0 / nel_1d, err_max)
logger.info(f"Max error: {maxxerr}")
logger.info(
f"Error for (dim,order) = ({dim},{order}):\n"
f"{eoc_rec}"
)
assert (
eoc_rec.order_estimate() >= order - 0.5
or eoc_rec.max_error() < tolerance
)
def test_vortex_rhs(actx_factory, order, use_overintegration):
"""Test the inviscid rhs using the non-trivial 2D isentropic vortex.
The case is configured to yield rhs = 0. Checks several different orders
and refinement levels to check error behavior.
"""
actx = actx_factory()
dim = 2
from pytools.convergence import EOCRecorder
eoc_rec = EOCRecorder()
from meshmode.mesh.generation import generate_regular_rect_mesh
for nel_1d in [32, 48, 64]:
mesh = generate_regular_rect_mesh(
a=(-5,) * dim, b=(5,) * dim, nelements_per_axis=(nel_1d,) * dim,
)
logger.info(
f"Number of {dim}d elements: {mesh.nelements}"
)
from grudge.dof_desc import DISCR_TAG_BASE, DISCR_TAG_QUAD
from meshmode.discretization.poly_element import \
default_simplex_group_factory, QuadratureSimplexGroupFactory
discr = EagerDGDiscretization(
actx, mesh,
discr_tag_to_group_factory={
DISCR_TAG_BASE: default_simplex_group_factory(
base_dim=dim, order=order),
DISCR_TAG_QUAD: QuadratureSimplexGroupFactory(2*order + 1)
}
)
if use_overintegration:
quadrature_tag = DISCR_TAG_QUAD
else:
quadrature_tag = None
nodes = thaw(discr.nodes(), actx)
# Init soln with Vortex and expected RHS = 0
vortex = Vortex2D(center=[0, 0], velocity=[0, 0])
vortex_soln = vortex(nodes)
gas_model = GasModel(eos=IdealSingleGas())
fluid_state = make_fluid_state(vortex_soln, gas_model)
def _vortex_boundary(discr, btag, gas_model, state_minus, **kwargs):
actx = state_minus.array_context
bnd_discr = discr.discr_from_dd(btag)
nodes = thaw(bnd_discr.nodes(), actx)
return make_fluid_state(vortex(x_vec=nodes, **kwargs), gas_model)
boundaries = {
BTAG_ALL: PrescribedFluidBoundary(boundary_state_func=_vortex_boundary)
}
inviscid_rhs = euler_operator(
discr, state=fluid_state, gas_model=gas_model, boundaries=boundaries,
time=0.0, quadrature_tag=quadrature_tag)
err_max = max_component_norm(discr, inviscid_rhs, np.inf)
eoc_rec.add_data_point(1.0 / nel_1d, err_max)
logger.info(
f"Error for (dim,order) = ({dim},{order}):\n"
f"{eoc_rec}"
)
assert (
eoc_rec.order_estimate() >= order - 0.5
or eoc_rec.max_error() < 1e-11
)