def test_isentropic_vortex(actx_factory, order):
"""Advance the 2D isentropic vortex case in time with non-zero velocities
using an RK4 timestepping scheme. Check 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"
boundaries = {BTAG_ALL: PrescribedBoundary(initializer)}
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
}
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_lump_rhs(actx_factory, dim, order):
"""Tests the inviscid rhs using the non-trivial
1, 2, and 3D mass lump case against the analytic
expressions of the RHS. Checks several different
orders and refinement levels to check error behavior.
"""
actx = actx_factory()
tolerance = 1e-10
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=(-5, ) * dim,
b=(5, ) * dim,
n=(nel_1d, ) * dim,
)
logger.info(f"Number of elements: {mesh.nelements}")
discr = EagerDGDiscretization(actx, mesh, order=order)
nodes = thaw(actx, discr.nodes())
# Init soln with Lump and expected RHS = 0
center = np.zeros(shape=(dim, ))
velocity = np.zeros(shape=(dim, ))
lump = Lump(center=center, velocity=velocity)
lump_soln = lump(0, nodes)
boundaries = {BTAG_ALL: PrescribedBoundary(lump)}
inviscid_rhs = inviscid_operator(discr,
eos=IdealSingleGas(),
boundaries=boundaries,
q=lump_soln,
t=0.0)
expected_rhs = lump.exact_rhs(discr, lump_soln, 0)
err_max = 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}")
message = (f"Error for (dim,order) = ({dim},{order}):\n" f"{eoc_rec}")
logger.info(message)
assert (eoc_rec.order_estimate() >= order - 0.5
or eoc_rec.max_error() < tolerance)
def test_vortex_rhs(actx_factory, order):
"""Tests the inviscid rhs using the non-trivial
2D isentropic vortex case 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 [16, 32, 64]:
mesh = generate_regular_rect_mesh(
a=(-5, ) * dim,
b=(5, ) * dim,
n=(nel_1d, ) * dim,
)
logger.info(f"Number of {dim}d elements: {mesh.nelements}")
discr = EagerDGDiscretization(actx, mesh, order=order)
nodes = thaw(actx, discr.nodes())
# Init soln with Vortex and expected RHS = 0
vortex = Vortex2D(center=[0, 0], velocity=[0, 0])
vortex_soln = vortex(0, nodes)
boundaries = {BTAG_ALL: PrescribedBoundary(vortex)}
inviscid_rhs = inviscid_operator(discr,
eos=IdealSingleGas(),
boundaries=boundaries,
q=vortex_soln,
t=0.0)
err_max = discr.norm(inviscid_rhs, np.inf)
eoc_rec.add_data_point(1.0 / nel_1d, err_max)
message = (f"Error for (dim,order) = ({dim},{order}):\n" f"{eoc_rec}")
logger.info(message)
assert (eoc_rec.order_estimate() >= order - 0.5
or eoc_rec.max_error() < 1e-11)
def main(ctx_factory=cl.create_some_context,
snapshot_pattern="y0euler-{step:06d}-{rank:04d}.pkl",
restart_step=None,
use_profiling=False,
use_logmgr=False):
"""Drive the Y0 example."""
from mpi4py import MPI
comm = MPI.COMM_WORLD
rank = 0
rank = comm.Get_rank()
nparts = comm.Get_size()
"""logging and profiling"""
logmgr = initialize_logmgr(use_logmgr,
use_profiling,
filename="y0euler.sqlite",
mode="wu",
mpi_comm=comm)
cl_ctx = ctx_factory()
if use_profiling:
queue = cl.CommandQueue(
cl_ctx, properties=cl.command_queue_properties.PROFILING_ENABLE)
actx = PyOpenCLProfilingArrayContext(
queue,
allocator=cl_tools.MemoryPool(cl_tools.ImmediateAllocator(queue)),
logmgr=logmgr)
else:
queue = cl.CommandQueue(cl_ctx)
actx = PyOpenCLArrayContext(queue,
allocator=cl_tools.MemoryPool(
cl_tools.ImmediateAllocator(queue)))
#nviz = 500
#nrestart = 500
nviz = 50
nrestart = 10000000
current_dt = 1.0e-7
#t_final = 5.e-7
t_final = 3e-4
dim = 2
order = 1
exittol = 10000000 # do never exit when comparing to exact solution
#t_final = 0.001
current_cfl = 1.0
vel_init = np.zeros(shape=(dim, ))
vel_inflow = np.zeros(shape=(dim, ))
vel_outflow = np.zeros(shape=(dim, ))
orig = np.zeros(shape=(dim, ))
#vel[0] = 340.0
#vel_inflow[0] = 100.0 # m/s
current_t = 0
casename = "y0euler"
constant_cfl = False
# no internal euler status messages
nstatus = 1000000000
checkpoint_t = current_t
current_step = 0
# working gas: CO2 #
# gamma = 1.289
# MW=44.009 g/mol
# cp = 37.135 J/mol-K,
# rho= 1.977 kg/m^3 @298K
gamma_CO2 = 1.289
R_CO2 = 8314.59 / 44.009
# background
# 100 Pa
# 298 K
# rho = 1.77619667e-3 kg/m^3
# velocity = 0,0,0
rho_bkrnd = 1.77619667e-3
pres_bkrnd = 100
temp_bkrnd = 298
c_bkrnd = math.sqrt(gamma_CO2 * pres_bkrnd / rho_bkrnd)
# isentropic shock relations #
# lab frame, moving shock
# state 1 is behind (downstream) the shock, state 2 is in front (upstream) of the shock
mach = 2.0
pressure_ratio = (2. * gamma_CO2 * mach * mach -
(gamma_CO2 - 1.)) / (gamma_CO2 + 1.)
density_ratio = (gamma_CO2 + 1.) * mach * mach / (
(gamma_CO2 - 1.) * mach * mach + 2.)
mach2 = math.sqrt(((gamma_CO2 - 1.) * mach * mach + 2.) /
(2. * gamma_CO2 * mach * mach - (gamma_CO2 - 1.)))
rho1 = rho_bkrnd
pressure1 = pres_bkrnd
rho2 = rho1 * density_ratio
pressure2 = pressure1 * pressure_ratio
velocity1 = 0.
velocity2 = -mach * c_bkrnd * (1 / density_ratio - 1)
c_shkd = math.sqrt(gamma_CO2 * pressure2 / rho2)
vel_inflow[0] = velocity2
timestepper = rk4_step
eos = IdealSingleGas(gamma=gamma_CO2, gas_const=R_CO2)
bulk_init = Discontinuity(dim=dim,
x0=.05,
sigma=0.01,
rhol=rho2,
rhor=rho1,
pl=pressure2,
pr=pressure1,
ul=vel_inflow[0],
ur=0.)
inflow_init = Lump(dim=dim,
rho0=rho2,
p0=pressure2,
center=orig,
velocity=vel_inflow,
rhoamp=0.0)
outflow_init = Lump(dim=dim,
rho0=rho1,
p0=pressure1,
center=orig,
velocity=vel_outflow,
rhoamp=0.0)
inflow = PrescribedBoundary(inflow_init)
outflow = PrescribedBoundary(outflow_init)
wall = AdiabaticSlipBoundary()
dummy = DummyBoundary()
# shock capturing parameters
# sonic conditions
density_ratio = (gamma_CO2 + 1.) * 1.0 / ((gamma_CO2 - 1.) + 2.)
density_star = rho1 * density_ratio
shock_thickness = 20 * 0.001 # on the order of 3 elements, should match what is in mesh generator
# alpha is ~h/p (spacing/order)
#alpha_sc = shock_thickness*abs(velocity1-velocity2)*density_star
alpha_sc = 0.1
# sigma is ~p^-4
sigma_sc = -11.0
# kappa is empirical ...
kappa_sc = 0.5
print(
f"Shock capturing parameters: alpha {alpha_sc}, s0 {sigma_sc}, kappa {kappa_sc}"
)
# timestep estimate
wave_speed = max(mach2 * c_bkrnd, c_shkd + velocity2)
char_len = 0.001
area = char_len * char_len / 2
perimeter = 2 * char_len + math.sqrt(2 * char_len * char_len)
h = 2 * area / perimeter
dt_est = 1 / (wave_speed * order * order / h)
print(f"Time step estimate {dt_est}\n")
dt_est_visc = 1 / (wave_speed * order * order / h +
alpha_sc * order * order * order * order / h / h)
print(f"Viscous timestep estimate {dt_est_visc}\n")
from grudge import sym
# boundaries = {BTAG_ALL: DummyBoundary}
boundaries = {
sym.DTAG_BOUNDARY("Inflow"): inflow,
sym.DTAG_BOUNDARY("Outflow"): outflow,
sym.DTAG_BOUNDARY("Wall"): wall
}
#local_mesh, global_nelements = create_parallel_grid(comm,
#get_pseudo_y0_mesh)
#
#local_nelements = local_mesh.nelements
if restart_step is None:
local_mesh, global_nelements = create_parallel_grid(comm, get_mesh)
local_nelements = local_mesh.nelements
else: # Restart
with open(snapshot_pattern.format(step=restart_step, rank=rank),
"rb") as f:
restart_data = pickle.load(f)
local_mesh = restart_data["local_mesh"]
local_nelements = local_mesh.nelements
global_nelements = restart_data["global_nelements"]
assert comm.Get_size() == restart_data["num_parts"]
if rank == 0:
logging.info("Making discretization")
discr = EagerDGDiscretization(actx,
local_mesh,
order=order,
mpi_communicator=comm)
nodes = thaw(actx, discr.nodes())
if restart_step is None:
if rank == 0:
logging.info("Initializing soln.")
current_state = bulk_init(0, nodes, eos=eos)
else:
current_t = restart_data["t"]
current_step = restart_step
current_state = unflatten(
actx, discr.discr_from_dd("vol"),
obj_array_vectorize(actx.from_numpy, restart_data["state"]))
vis_timer = None
if logmgr:
logmgr_add_device_name(logmgr, queue)
logmgr_add_discretization_quantities(logmgr, discr, eos, dim)
#logmgr_add_package_versions(logmgr)
logmgr.add_watches([
"step.max", "t_sim.max", "t_step.max", "min_pressure",
"max_pressure", "min_temperature", "max_temperature"
])
try:
logmgr.add_watches(["memory_usage.max"])
except KeyError:
pass
if use_profiling:
logmgr.add_watches(["pyopencl_array_time.max"])
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
#visualizer = make_visualizer(discr, discr.order + 3
#if discr.dim == 2 else discr.order)
visualizer = make_visualizer(discr, discr.order)
# initname = initializer.__class__.__name__
initname = "pseudoY0"
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)
get_timestep = partial(inviscid_sim_timestep,
discr=discr,
t=current_t,
dt=current_dt,
cfl=current_cfl,
eos=eos,
t_final=t_final,
constant_cfl=constant_cfl)
def my_rhs(t, state):
#return inviscid_operator(discr, eos=eos, boundaries=boundaries, q=state, t=t)
return (inviscid_operator(
discr, q=state, t=t, boundaries=boundaries, eos=eos) +
artificial_viscosity(discr,
t=t,
r=state,
eos=eos,
boundaries=boundaries,
alpha=alpha_sc,
sigma=sigma_sc,
kappa=kappa_sc))
def my_checkpoint(step, t, dt, state):
write_restart = (check_step(step, nrestart)
if step != restart_step else False)
if write_restart is True:
with open(snapshot_pattern.format(step=step, rank=rank),
"wb") as f:
pickle.dump(
{
"local_mesh": local_mesh,
"state": obj_array_vectorize(actx.to_numpy,
flatten(state)),
"t": t,
"step": step,
"global_nelements": global_nelements,
"num_parts": nparts,
}, f)
#x0=f(time)
exact_soln = Discontinuity(dim=dim,
x0=.05,
sigma=0.00001,
rhol=rho2,
rhor=rho1,
pl=pressure2,
pr=pressure1,
ul=vel_inflow[0],
ur=0.,
uc=mach * c_bkrnd)
return sim_checkpoint(discr=discr,
visualizer=visualizer,
eos=eos,
q=state,
vizname=casename,
step=step,
t=t,
dt=dt,
nstatus=nstatus,
nviz=nviz,
exittol=exittol,
constant_cfl=constant_cfl,
comm=comm,
vis_timer=vis_timer,
overwrite=True,
exact_soln=exact_soln,
sigma=sigma_sc,
kappa=kappa_sc)
if rank == 0:
logging.info("Stepping.")
(current_step, current_t, current_state) = \
advance_state(rhs=my_rhs, timestepper=timestepper,
checkpoint=my_checkpoint,
get_timestep=get_timestep, state=current_state,
t_final=t_final, t=current_t, istep=current_step,
logmgr=logmgr,eos=eos,dim=dim)
if rank == 0:
logger.info("Checkpointing final state ...")
my_checkpoint(current_step,
t=current_t,
dt=(current_t - checkpoint_t),
state=current_state)
if current_t - t_final < 0:
raise ValueError("Simulation exited abnormally")
if logmgr:
logmgr.close()
elif use_profiling:
print(actx.tabulate_profiling_data())
def main(ctx_factory=cl.create_some_context, use_leap=False):
"""Drive the example."""
cl_ctx = ctx_factory()
queue = cl.CommandQueue(cl_ctx)
actx = PyOpenCLArrayContext(queue,
allocator=cl_tools.MemoryPool(
cl_tools.ImmediateAllocator(queue)))
dim = 1
nel_1d = 24
order = 1
# tolerate large errors; case is unstable
exittol = .2
t_final = 0.01
current_cfl = 1.0
current_dt = .0001
current_t = 0
eos = IdealSingleGas()
initializer = SodShock1D(dim=dim)
casename = "sod1d"
boundaries = {BTAG_ALL: PrescribedBoundary(initializer)}
constant_cfl = False
nstatus = 10
nviz = 10
rank = 0
checkpoint_t = current_t
current_step = 0
if use_leap:
from leap.rk import RK4MethodBuilder
timestepper = RK4MethodBuilder("state")
else:
timestepper = rk4_step
box_ll = -5.0
box_ur = 5.0
from mpi4py import MPI
comm = MPI.COMM_WORLD
rank = comm.Get_rank()
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
discr = EagerDGDiscretization(actx,
local_mesh,
order=order,
mpi_communicator=comm)
nodes = thaw(actx, discr.nodes())
current_state = initializer(nodes)
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)
get_timestep = partial(inviscid_sim_timestep,
discr=discr,
t=current_t,
dt=current_dt,
cfl=current_cfl,
eos=eos,
t_final=t_final,
constant_cfl=constant_cfl)
def my_rhs(t, state):
return euler_operator(discr,
cv=state,
t=t,
boundaries=boundaries,
eos=eos)
def my_checkpoint(step, t, dt, state):
return sim_checkpoint(discr,
visualizer,
eos,
cv=state,
exact_soln=initializer,
vizname=casename,
step=step,
t=t,
dt=dt,
nstatus=nstatus,
nviz=nviz,
exittol=exittol,
constant_cfl=constant_cfl,
comm=comm)
try:
(current_step, current_t, current_state) = \
advance_state(rhs=my_rhs, timestepper=timestepper,
checkpoint=my_checkpoint,
get_timestep=get_timestep, state=current_state,
t=current_t, t_final=t_final)
except ExactSolutionMismatch as ex:
current_step = ex.step
current_t = ex.t
current_state = ex.state
# if current_t != checkpoint_t:
if rank == 0:
logger.info("Checkpointing final state ...")
my_checkpoint(current_step,
t=current_t,
dt=(current_t - checkpoint_t),
state=current_state)
if current_t - t_final < 0:
raise ValueError("Simulation exited abnormally")
def main(ctx_factory=cl.create_some_context):
cl_ctx = ctx_factory()
queue = cl.CommandQueue(cl_ctx)
actx = PyOpenCLArrayContext(queue,
allocator=cl_tools.MemoryPool(
cl_tools.ImmediateAllocator(queue)))
dim = 3
nel_1d = 16
order = 3
exittol = .09
t_final = 0.01
current_cfl = 1.0
vel = np.zeros(shape=(dim, ))
orig = np.zeros(shape=(dim, ))
vel[:dim] = 1.0
current_dt = .001
current_t = 0
eos = IdealSingleGas()
initializer = Lump(numdim=dim, center=orig, velocity=vel)
casename = "lump"
boundaries = {BTAG_ALL: PrescribedBoundary(initializer)}
constant_cfl = False
nstatus = 1
nviz = 1
rank = 0
checkpoint_t = current_t
current_step = 0
timestepper = rk4_step
box_ll = -5.0
box_ur = 5.0
comm = MPI.COMM_WORLD
rank = comm.Get_rank()
from meshmode.mesh.generation import generate_regular_rect_mesh
generate_grid = partial(generate_regular_rect_mesh,
a=(box_ll, ) * dim,
b=(box_ur, ) * dim,
n=(nel_1d, ) * dim)
local_mesh, global_nelements = create_parallel_grid(comm, generate_grid)
local_nelements = local_mesh.nelements
discr = EagerDGDiscretization(actx,
local_mesh,
order=order,
mpi_communicator=comm)
nodes = thaw(actx, discr.nodes())
current_state = initializer(0, nodes)
visualizer = make_visualizer(
discr, discr.order + 3 if discr.dim == 2 else discr.order)
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)
get_timestep = partial(inviscid_sim_timestep,
discr=discr,
t=current_t,
dt=current_dt,
cfl=current_cfl,
eos=eos,
t_final=t_final,
constant_cfl=constant_cfl)
def my_rhs(t, state):
return inviscid_operator(discr,
q=state,
t=t,
boundaries=boundaries,
eos=eos)
def my_checkpoint(step, t, dt, state):
return sim_checkpoint(discr,
visualizer,
eos,
q=state,
exact_soln=initializer,
vizname=casename,
step=step,
t=t,
dt=dt,
nstatus=nstatus,
nviz=nviz,
exittol=exittol,
constant_cfl=constant_cfl,
comm=comm)
try:
(current_step, current_t, current_state) = \
advance_state(rhs=my_rhs, timestepper=timestepper,
checkpoint=my_checkpoint,
get_timestep=get_timestep, state=current_state,
t=current_t, t_final=t_final)
except ExactSolutionMismatch as ex:
current_step = ex.step
current_t = ex.t
current_state = ex.state
# if current_t != checkpoint_t:
if rank == 0:
logger.info("Checkpointing final state ...")
my_checkpoint(current_step,
t=current_t,
dt=(current_t - checkpoint_t),
state=current_state)
if current_t - t_final < 0:
raise ValueError("Simulation exited abnormally")
def main(ctx_factory=cl.create_some_context,
use_profiling=False,
use_logmgr=False,
use_leap=False):
"""Drive the example."""
from mpi4py import MPI
comm = MPI.COMM_WORLD
logmgr = initialize_logmgr(use_logmgr,
filename="vortex.sqlite",
mode="wu",
mpi_comm=comm)
cl_ctx = ctx_factory()
if use_profiling:
queue = cl.CommandQueue(
cl_ctx, properties=cl.command_queue_properties.PROFILING_ENABLE)
actx = PyOpenCLProfilingArrayContext(
queue,
allocator=cl_tools.MemoryPool(cl_tools.ImmediateAllocator(queue)),
logmgr=logmgr)
else:
queue = cl.CommandQueue(cl_ctx)
actx = PyOpenCLArrayContext(queue,
allocator=cl_tools.MemoryPool(
cl_tools.ImmediateAllocator(queue)))
dim = 2
nel_1d = 16
order = 3
exittol = .1
t_final = 0.1
current_cfl = 1.0
vel = np.zeros(shape=(dim, ))
orig = np.zeros(shape=(dim, ))
vel[:dim] = 1.0
current_dt = .001
current_t = 0
eos = IdealSingleGas()
initializer = Vortex2D(center=orig, velocity=vel)
casename = "vortex"
boundaries = {BTAG_ALL: PrescribedBoundary(initializer)}
constant_cfl = False
nstatus = 10
nviz = 10
rank = 0
checkpoint_t = current_t
current_step = 0
if use_leap:
from leap.rk import RK4MethodBuilder
timestepper = RK4MethodBuilder("state")
else:
timestepper = rk4_step
box_ll = -5.0
box_ur = 5.0
rank = comm.Get_rank()
if dim != 2:
raise ValueError("This example must be run with dim = 2.")
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
discr = EagerDGDiscretization(actx,
local_mesh,
order=order,
mpi_communicator=comm)
nodes = thaw(actx, discr.nodes())
current_state = initializer(nodes)
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)
logmgr.add_watches([
"step.max", "t_step.max", "t_log.max", "min_temperature",
"L2_norm_momentum1"
])
try:
logmgr.add_watches(
["memory_usage_python.max", "memory_usage_gpu.max"])
except KeyError:
pass
if use_profiling:
logmgr.add_watches(["multiply_time.max"])
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
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)
get_timestep = partial(inviscid_sim_timestep,
discr=discr,
t=current_t,
dt=current_dt,
cfl=current_cfl,
eos=eos,
t_final=t_final,
constant_cfl=constant_cfl)
def my_rhs(t, state):
return euler_operator(discr,
cv=state,
t=t,
boundaries=boundaries,
eos=eos)
def my_checkpoint(step, t, dt, state):
return sim_checkpoint(discr,
visualizer,
eos,
cv=state,
exact_soln=initializer,
vizname=casename,
step=step,
t=t,
dt=dt,
nstatus=nstatus,
nviz=nviz,
exittol=exittol,
constant_cfl=constant_cfl,
comm=comm,
vis_timer=vis_timer)
try:
(current_step, current_t, current_state) = \
advance_state(rhs=my_rhs, timestepper=timestepper,
checkpoint=my_checkpoint,
get_timestep=get_timestep, state=current_state,
t=current_t, t_final=t_final, logmgr=logmgr,
eos=eos, dim=dim)
except ExactSolutionMismatch as ex:
current_step = ex.step
current_t = ex.t
current_state = ex.state
# if current_t != checkpoint_t:
if rank == 0:
logger.info("Checkpointing final state ...")
my_checkpoint(current_step,
t=current_t,
dt=(current_t - checkpoint_t),
state=current_state)
if current_t - t_final < 0:
raise ValueError("Simulation exited abnormally")
if logmgr:
logmgr.close()
elif use_profiling:
print(actx.tabulate_profiling_data())
def main(ctx_factory=cl.create_some_context, use_leap=False):
"""Drive example."""
cl_ctx = ctx_factory()
queue = cl.CommandQueue(cl_ctx)
actx = PyOpenCLArrayContext(queue,
allocator=cl_tools.MemoryPool(
cl_tools.ImmediateAllocator(queue)))
dim = 3
nel_1d = 16
order = 3
exittol = 10.0
t_final = 0.002
current_cfl = 1.0
velocity = np.zeros(shape=(dim, ))
velocity[:dim] = 1.0
current_dt = .001
current_t = 0
constant_cfl = False
nstatus = 1
nviz = 1
rank = 0
checkpoint_t = current_t
current_step = 0
if use_leap:
from leap.rk import RK4MethodBuilder
timestepper = RK4MethodBuilder("state")
else:
timestepper = rk4_step
box_ll = -5.0
box_ur = 5.0
error_state = 0
from mpi4py import MPI
comm = MPI.COMM_WORLD
rank = comm.Get_rank()
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
discr = EagerDGDiscretization(actx,
local_mesh,
order=order,
mpi_communicator=comm)
nodes = thaw(actx, discr.nodes())
casename = "uiuc_mixture"
# Pyrometheus initialization
from mirgecom.mechanisms import get_mechanism_cti
mech_cti = get_mechanism_cti("uiuc")
sol = cantera.Solution(phase_id="gas", source=mech_cti)
pyrometheus_mechanism = pyro.get_thermochem_class(sol)(actx.np)
nspecies = pyrometheus_mechanism.num_species
eos = PyrometheusMixture(pyrometheus_mechanism)
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)
initializer = MixtureInitializer(dim=dim,
nspecies=nspecies,
massfractions=y0s,
velocity=velocity)
boundaries = {BTAG_ALL: PrescribedBoundary(initializer)}
nodes = thaw(actx, discr.nodes())
current_state = initializer(x_vec=nodes, eos=eos)
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)
get_timestep = partial(inviscid_sim_timestep,
discr=discr,
t=current_t,
dt=current_dt,
cfl=current_cfl,
eos=eos,
t_final=t_final,
constant_cfl=constant_cfl)
def my_rhs(t, state):
return euler_operator(discr,
cv=state,
t=t,
boundaries=boundaries,
eos=eos)
def my_checkpoint(step, t, dt, state):
global checkpoint_t
checkpoint_t = t
return sim_checkpoint(discr,
visualizer,
eos,
cv=state,
exact_soln=initializer,
vizname=casename,
step=step,
t=t,
dt=dt,
nstatus=nstatus,
nviz=nviz,
exittol=exittol,
constant_cfl=constant_cfl,
comm=comm)
try:
(current_step, current_t, current_state) = \
advance_state(rhs=my_rhs, timestepper=timestepper,
checkpoint=my_checkpoint,
get_timestep=get_timestep, state=current_state,
t=current_t, t_final=t_final)
except ExactSolutionMismatch as ex:
error_state = 1
current_step = ex.step
current_t = ex.t
current_state = ex.state
if current_t != checkpoint_t: # This check because !overwrite
if rank == 0:
logger.info("Checkpointing final state ...")
my_checkpoint(current_step,
t=current_t,
dt=(current_t - checkpoint_t),
state=current_state)
if current_t - t_final < 0:
error_state = 1
if error_state:
raise ValueError("Simulation did not complete successfully.")
def main(ctx_factory=cl.create_some_context,
snapshot_pattern="y0euler-{step:06d}-{rank:04d}.pkl",
restart_step=None,
use_profiling=False,
use_logmgr=False):
"""Drive the Y0 example."""
from mpi4py import MPI
comm = MPI.COMM_WORLD
rank = 0
rank = comm.Get_rank()
nparts = comm.Get_size()
"""logging and profiling"""
logmgr = initialize_logmgr(use_logmgr,
filename="y0euler.sqlite",
mode="wo",
mpi_comm=comm)
cl_ctx = ctx_factory()
if use_profiling:
queue = cl.CommandQueue(
cl_ctx, properties=cl.command_queue_properties.PROFILING_ENABLE)
actx = PyOpenCLProfilingArrayContext(
queue,
allocator=cl_tools.MemoryPool(cl_tools.ImmediateAllocator(queue)),
logmgr=logmgr)
else:
queue = cl.CommandQueue(cl_ctx)
actx = PyOpenCLArrayContext(queue,
allocator=cl_tools.MemoryPool(
cl_tools.ImmediateAllocator(queue)))
#nviz = 500
#nrestart = 500
nviz = 10
nrestart = 250
#current_dt = 5.0e-8 # stable with euler
current_dt = 5.0e-8 # stable with rk4
#current_dt = 4e-7 # stable with lrsrk144
t_final = 5.e-1
dim = 2
order = 1
exittol = .09
#t_final = 0.001
current_cfl = 1.0
current_t = 0
constant_cfl = False
nstatus = 10000000000
rank = 0
checkpoint_t = current_t
current_step = 0
vel_burned = np.zeros(shape=(dim, ))
vel_unburned = np.zeros(shape=(dim, ))
# {{{ Set up initial state using Cantera
# Use Cantera for initialization
# -- Pick up a CTI for the thermochemistry config
# --- Note: Users may add their own CTI file by dropping it into
# --- mirgecom/mechanisms alongside the other CTI files.
from mirgecom.mechanisms import get_mechanism_cti
mech_cti = get_mechanism_cti("uiuc")
cantera_soln = cantera.Solution(phase_id="gas", source=mech_cti)
nspecies = cantera_soln.n_species
# Initial temperature, pressure, and mixutre mole fractions are needed to
# set up the initial state in Cantera.
temp_unburned = 300.0
temp_ignition = 2000.0
# Parameters for calculating the amounts of fuel, oxidizer, and inert species
equiv_ratio = 1.0
ox_di_ratio = 0.21
stoich_ratio = 3.0
# Grab the array indices for the specific species, ethylene, oxygen, and nitrogen
i_fu = cantera_soln.species_index("C2H4")
i_ox = cantera_soln.species_index("O2")
i_di = cantera_soln.species_index("N2")
x = np.zeros(nspecies)
# Set the species mole fractions according to our desired fuel/air mixture
x[i_fu] = (ox_di_ratio * equiv_ratio) / (stoich_ratio +
ox_di_ratio * equiv_ratio)
x[i_ox] = stoich_ratio * x[i_fu] / equiv_ratio
x[i_di] = (1.0 - ox_di_ratio) * x[i_ox] / ox_di_ratio
# Uncomment next line to make pylint fail when it can't find cantera.one_atm
one_atm = cantera.one_atm # pylint: disable=no-member
# one_atm = 101325.0
pres_unburned = one_atm
# Let the user know about how Cantera is being initilized
print(f"Input state (T,P,X) = ({temp_unburned}, {pres_unburned}, {x}")
# Set Cantera internal gas temperature, pressure, and mole fractios
cantera_soln.TPX = temp_unburned, pres_unburned, x
# Pull temperature, total density, mass fractions, and pressure from Cantera
# We need total density, and mass fractions to initialize the fluid/gas state.
y_unburned = np.zeros(nspecies)
can_t, rho_unburned, y_unburned = cantera_soln.TDY
can_p = cantera_soln.P
# *can_t*, *can_p* should not differ (significantly) from user's initial data,
# but we want to ensure that we use exactly the same starting point as Cantera,
# so we use Cantera's version of these data.
# now find the conditions for the burned gas
cantera_soln.equilibrate('TP')
temp_burned, rho_burned, y_burned = cantera_soln.TDY
pres_burned = cantera_soln.P
casename = "flame1d"
pyrometheus_mechanism = pyro.get_thermochem_class(cantera_soln)(actx.np)
eos = PyrometheusMixture(pyrometheus_mechanism, tguess=temp_unburned)
species_names = pyrometheus_mechanism.species_names
print(f"Pyrometheus mechanism species names {species_names}")
print(
f"Unburned state (T,P,Y) = ({temp_unburned}, {pres_unburned}, {y_unburned}"
)
print(f"Burned state (T,P,Y) = ({temp_burned}, {pres_burned}, {y_burned}")
# use the burned conditions with a lower temperature
bulk_init = MixtureDiscontinuity(dim=dim,
x0=0.05,
sigma=0.01,
nspecies=nspecies,
tl=temp_ignition,
tr=temp_unburned,
pl=pres_burned,
pr=pres_unburned,
ul=vel_burned,
ur=vel_unburned,
yl=y_burned,
yr=y_unburned)
inflow_init = MixtureInitializer(dim=dim,
nspecies=nspecies,
pressure=pres_burned,
temperature=temp_ignition,
massfractions=y_burned,
velocity=vel_burned)
outflow_init = MixtureInitializer(dim=dim,
nspecies=nspecies,
pressure=pres_unburned,
temperature=temp_unburned,
massfractions=y_unburned,
velocity=vel_unburned)
inflow = PrescribedBoundary(inflow_init)
outflow = PrescribedBoundary(outflow_init)
wall = AdiabaticSlipBoundary()
dummy = DummyBoundary()
from grudge import sym
boundaries = {
sym.DTAG_BOUNDARY("Inflow"): inflow,
sym.DTAG_BOUNDARY("Outflow"): outflow,
sym.DTAG_BOUNDARY("Wall"): wall
}
if restart_step is None:
char_len = 0.001
box_ll = (0.0, 0.0)
box_ur = (0.25, 0.01)
num_elements = (int((box_ur[0] - box_ll[0]) / char_len),
int((box_ur[1] - box_ll[1]) / char_len))
from meshmode.mesh.generation import generate_regular_rect_mesh
generate_mesh = partial(generate_regular_rect_mesh,
a=box_ll,
b=box_ur,
n=num_elements,
boundary_tag_to_face={
"Inflow": ["-x"],
"Outflow": ["+x"],
"Wall": ["+y", "-y"]
})
local_mesh, global_nelements = generate_and_distribute_mesh(
comm, generate_mesh)
local_nelements = local_mesh.nelements
else: # Restart
with open(snapshot_pattern.format(step=restart_step, rank=rank),
"rb") as f:
restart_data = pickle.load(f)
local_mesh = restart_data["local_mesh"]
local_nelements = local_mesh.nelements
global_nelements = restart_data["global_nelements"]
assert comm.Get_size() == restart_data["num_parts"]
if rank == 0:
logging.info("Making discretization")
discr = EagerDGDiscretization(actx,
local_mesh,
order=order,
mpi_communicator=comm)
nodes = thaw(actx, discr.nodes())
if restart_step is None:
if rank == 0:
logging.info("Initializing soln.")
# for Discontinuity initial conditions
current_state = bulk_init(t=0., x_vec=nodes, eos=eos)
# for uniform background initial condition
#current_state = bulk_init(nodes, eos=eos)
else:
current_t = restart_data["t"]
current_step = restart_step
current_state = unflatten(
actx, discr.discr_from_dd("vol"),
obj_array_vectorize(actx.from_numpy, restart_data["state"]))
vis_timer = None
if logmgr:
logmgr_add_cl_device_info(logmgr, queue)
logmgr_add_many_discretization_quantities(logmgr, discr, dim,
extract_vars_for_logging,
units_for_logging)
#logmgr_add_package_versions(logmgr)
logmgr.add_watches([
"step.max", "t_sim.max", "t_step.max", "t_log.max", "min_pressure",
"max_pressure", "min_temperature", "max_temperature"
])
try:
logmgr.add_watches(["memory_usage.max"])
except KeyError:
pass
if use_profiling:
logmgr.add_watches(["pyopencl_array_time.max"])
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
visualizer = make_visualizer(
discr, discr.order + 3 if discr.dim == 2 else discr.order)
# initname = initializer.__class__.__name__
initname = "flame1d"
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)
timestepper = rk4_step
#timestepper = lsrk54_step
#timestepper = lsrk144_step
#timestepper = euler_step
get_timestep = partial(inviscid_sim_timestep,
discr=discr,
t=current_t,
dt=current_dt,
cfl=current_cfl,
eos=eos,
t_final=t_final,
constant_cfl=constant_cfl)
def my_rhs(t, state):
# check for some troublesome output types
inf_exists = not np.isfinite(discr.norm(state, np.inf))
if inf_exists:
if rank == 0:
logging.info(
"Non-finite values detected in simulation, exiting...")
# dump right now
sim_checkpoint(discr=discr,
visualizer=visualizer,
eos=eos,
q=state,
vizname=casename,
step=999999999,
t=t,
dt=current_dt,
nviz=1,
exittol=exittol,
constant_cfl=constant_cfl,
comm=comm,
vis_timer=vis_timer,
overwrite=True,
s0=s0_sc,
kappa=kappa_sc)
exit()
cv = split_conserved(dim=dim, q=state)
return (inviscid_operator(
discr, q=state, t=t, boundaries=boundaries, eos=eos) +
eos.get_species_source_terms(cv))
def my_checkpoint(step, t, dt, state):
write_restart = (check_step(step, nrestart)
if step != restart_step else False)
if write_restart is True:
with open(snapshot_pattern.format(step=step, rank=rank),
"wb") as f:
pickle.dump(
{
"local_mesh": local_mesh,
"state": obj_array_vectorize(actx.to_numpy,
flatten(state)),
"t": t,
"step": step,
"global_nelements": global_nelements,
"num_parts": nparts,
}, f)
cv = split_conserved(dim, state)
reaction_rates = eos.get_production_rates(cv)
viz_fields = [("reaction_rates", reaction_rates)]
return sim_checkpoint(discr=discr,
visualizer=visualizer,
eos=eos,
q=state,
vizname=casename,
step=step,
t=t,
dt=dt,
nstatus=nstatus,
nviz=nviz,
exittol=exittol,
constant_cfl=constant_cfl,
comm=comm,
vis_timer=vis_timer,
overwrite=True,
viz_fields=viz_fields)
if rank == 0:
logging.info("Stepping.")
(current_step, current_t, current_state) = \
advance_state(rhs=my_rhs, timestepper=timestepper,
checkpoint=my_checkpoint,
get_timestep=get_timestep, state=current_state,
t_final=t_final, t=current_t, istep=current_step,
logmgr=logmgr,eos=eos,dim=dim)
if rank == 0:
logger.info("Checkpointing final state ...")
my_checkpoint(current_step,
t=current_t,
dt=(current_t - checkpoint_t),
state=current_state)
if current_t - t_final < 0:
raise ValueError("Simulation exited abnormally")
if logmgr:
logmgr.close()
elif use_profiling:
print(actx.tabulate_profiling_data())
exit()
def main(ctx_factory=cl.create_some_context,
snapshot_pattern="y0euler-{step:06d}-{rank:04d}.pkl",
restart_step=None, use_profiling=False, use_logmgr=False):
"""Drive the Y0 example."""
from mpi4py import MPI
comm = MPI.COMM_WORLD
rank = 0
rank = comm.Get_rank()
nparts = comm.Get_size()
"""logging and profiling"""
logmgr = initialize_logmgr(use_logmgr, filename="y0euler.sqlite",
mode="wo", mpi_comm=comm)
cl_ctx = ctx_factory()
if use_profiling:
queue = cl.CommandQueue(cl_ctx,
properties=cl.command_queue_properties.PROFILING_ENABLE)
actx = PyOpenCLProfilingArrayContext(queue,
allocator=cl_tools.MemoryPool(cl_tools.ImmediateAllocator(queue)),
logmgr=logmgr)
else:
queue = cl.CommandQueue(cl_ctx)
actx = PyOpenCLArrayContext(queue,
allocator=cl_tools.MemoryPool(cl_tools.ImmediateAllocator(queue)))
#nviz = 500
#nrestart = 500
nviz = 100
nrestart = 100
#current_dt = 2.5e-8 # stable with euler
current_dt = 4e-7 # stable with lrsrk144
t_final = 5.e-1
dim = 3
order = 1
exittol = .09
#t_final = 0.001
current_cfl = 1.0
vel_init = np.zeros(shape=(dim,))
vel_inflow = np.zeros(shape=(dim,))
vel_outflow = np.zeros(shape=(dim,))
orig = np.zeros(shape=(dim,))
orig[0] = 0.83
orig[2] = 0.001
#vel[0] = 340.0
#vel_inflow[0] = 100.0 # m/s
current_t = 0
casename = "y0euler"
constant_cfl = False
nstatus = 10000000000
rank = 0
checkpoint_t = current_t
current_step = 0
# working gas: CO2 #
# gamma = 1.289
# MW=44.009 g/mol
# cp = 37.135 J/mol-K,
# rho= 1.977 kg/m^3 @298K
gamma_CO2 = 1.289
R_CO2 = 8314.59/44.009
# background
# 100 Pa
# 298 K
# rho = 1.77619667e-3 kg/m^3
# velocity = 0,0,0
rho_bkrnd=1.77619667e-3
pres_bkrnd=100
temp_bkrnd=298
# nozzle inflow #
#
# stagnation tempertuare 298 K
# stagnation pressure 1.5e Pa
#
# isentropic expansion based on the area ratios between the inlet (r=13e-3m) and the throat (r=6.3e-3)
#
# MJA, this is calculated offline, add some code to do it for us
#
# Mach number=0.139145
# pressure=148142
# temperature=297.169
# density=2.63872
# gamma=1.289
# calculate the inlet Mach number from the area ratio
nozzleInletRadius = 13.e-3
nozzleThroatRadius = 6.3e-3
nozzleInletArea = math.pi*nozzleInletRadius*nozzleInletRadius
nozzleThroatArea = math.pi*nozzleThroatRadius*nozzleThroatRadius
inletAreaRatio = nozzleInletArea/nozzleThroatArea
def getMachFromAreaRatio(area_ratio, gamma, mach_guess=0.01):
error=1.e-8
nextError=1.e8
g=gamma
M0=mach_guess
while nextError > error:
R = ((2/(g+1)+((g-1)/(g+1)*M0*M0))**(((g+1)/(2*g-2))))/M0-area_ratio
dRdM = (2*((2/(g+1)+((g-1)/(g+1)*M0*M0))**(((g+1)/(2*g-2))))/
(2*g-2)*(g-1)/(2/(g+1)+((g-1)/(g+1)*M0*M0))-
((2/(g+1)+((g-1)/(g+1)*M0*M0))**(((g+1)/(2*g-2))))* M0**(-2))
M1=M0-R/dRdM
nextError=abs(R)
M0=M1
return M1
def getIsentropicPressure(mach, P0, gamma):
pressure=(1.+(gamma-1.)*0.5*math.pow(mach,2))
pressure=P0*math.pow(pressure,(-gamma/(gamma-1.)))
return pressure
def getIsentropicTemperature(mach, T0, gamma):
temperature=(1.+(gamma-1.)*0.5*math.pow(mach,2))
temperature=T0*math.pow(temperature,-1.0)
return temperature
inlet_mach = getMachFromAreaRatio(area_ratio = inletAreaRatio, gamma=gamma_CO2, mach_guess = 0.01);
# ramp the stagnation pressure
start_ramp_pres = 1000
ramp_interval = 5.e-3
t_ramp_start = 1e-5
pres_inflow = getIsentropicPressure(mach=inlet_mach, P0=start_ramp_pres, gamma=gamma_CO2)
temp_inflow = getIsentropicTemperature(mach=inlet_mach, T0=298, gamma=gamma_CO2)
rho_inflow = pres_inflow/temp_inflow/R_CO2
print(f'inlet Mach number {inlet_mach}')
print(f'inlet temperature {temp_inflow}')
print(f'inlet pressure {pres_inflow}')
end_ramp_pres = 150000
pres_inflow_final = getIsentropicPressure(mach=inlet_mach, P0=end_ramp_pres, gamma=gamma_CO2)
print(f'final inlet pressure {pres_inflow_final}')
#pres_inflow=148142
#temp_inflow=297.169
#rho_inflow=2.63872
#mach_inflow=infloM = 0.139145
vel_inflow[0] = inlet_mach*math.sqrt(gamma_CO2*pres_inflow/rho_inflow)
# starting pressure for the inflow ramp
#timestepper = rk4_step
#timestepper = lsrk54_step
timestepper = lsrk144_step
#timestepper = euler_step
eos = IdealSingleGas(gamma=gamma_CO2, gas_const=R_CO2)
bulk_init = Discontinuity(dim=dim, x0=-.30,sigma=0.005,
#bulk_init = Discontinuity(dim=dim, x0=-.31,sigma=0.04,
rhol=rho_inflow, rhor=rho_bkrnd,
pl=pres_inflow, pr=pres_bkrnd,
ul=vel_inflow, ur=vel_outflow)
#inflow_init = Lump(dim=dim, rho0=rho_inflow, p0=pres_inflow,
#center=orig, velocity=vel_inflow, rhoamp=0.0)
#outflow_init = Lump(dim=dim, rho0=rho_bkrnd, p0=pres_bkrnd,
#center=orig, velocity=vel_outflow, rhoamp=0.0)
# pressure ramp function
def inflow_ramp_pressure(t, startP=start_ramp_pres, finalP=end_ramp_pres,
ramp_interval=ramp_interval, t_ramp_start=t_ramp_start):
if t > t_ramp_start:
rampPressure = min(finalP, startP+(t-t_ramp_start)/ramp_interval*(finalP-startP))
else:
rampPressure = startP
return rampPressure
class IsentropicInflow:
def __init__(self, *, dim=1, direc=0, T0=298, P0=1e5, mach= 0.01, p_fun = None):
self._P0 = P0
self._T0 = T0
self._dim = dim
self._direc = direc
self._mach = mach
if p_fun is not None:
self._p_fun = p_fun
def __call__(self, x_vec, *, t=0, eos):
if self._p_fun is not None:
P0 = self._p_fun(t)
else:
P0 = self._P0
T0 = self._T0
gamma = eos.gamma()
gas_const = eos.gas_const()
pressure = getIsentropicPressure(mach=self._mach, P0=P0, gamma=gamma)
temperature = getIsentropicTemperature(mach=self._mach, T0=T0, gamma=gamma)
rho = pressure/temperature/gas_const
#print(f'ramp Mach number {self._mach}')
#print(f'ramp stagnation pressure {P0}')
#print(f'ramp stagnation temperature {T0}')
#print(f'ramp pressure {pressure}')
#print(f'ramp temperature {temperature}')
velocity = np.zeros(shape=(self._dim,))
velocity[self._direc] = self._mach*math.sqrt(gamma*pressure/rho)
mass = 0.0*x_vec[0] + rho
mom = velocity*mass
energy = (pressure/(gamma - 1.0)) + np.dot(mom, mom)/(2.0*mass)
from mirgecom.euler import join_conserved
return join_conserved(dim=self._dim, mass=mass, momentum=mom, energy=energy)
inflow_init = IsentropicInflow(dim=dim, T0=298, P0=start_ramp_pres,
mach = inlet_mach , p_fun=inflow_ramp_pressure)
outflow_init = Uniform(dim=dim, rho=rho_bkrnd, p=pres_bkrnd,
velocity=vel_outflow)
inflow = PrescribedBoundary(inflow_init)
outflow = PrescribedBoundary(outflow_init)
wall = AdiabaticSlipBoundary()
dummy = DummyBoundary()
alpha_sc = 0.5
# s0 is ~p^-4
#s0_sc = -11.0
s0_sc = -5.0
# kappa is empirical ...
kappa_sc = 0.5
print(f"Shock capturing parameters: alpha {alpha_sc}, s0 {s0_sc}, kappa {kappa_sc}")
# timestep estimate
#wave_speed = max(mach2*c_bkrnd,c_shkd+velocity2[0])
#char_len = 0.001
#area=char_len*char_len/2
#perimeter = 2*char_len+math.sqrt(2*char_len*char_len)
#h = 2*area/perimeter
#dt_est = 1/(wave_speed*order*order/h)
#print(f"Time step estimate {dt_est}\n")
#
#dt_est_visc = 1/(wave_speed*order*order/h+alpha_sc*order*order*order*order/h/h)
#print(f"Viscous timestep estimate {dt_est_visc}\n")
from grudge import sym
boundaries = {sym.DTAG_BOUNDARY("Inflow"): inflow,
sym.DTAG_BOUNDARY("Outflow"): outflow,
sym.DTAG_BOUNDARY("Wall"): wall}
if restart_step is None:
local_mesh, global_nelements = create_parallel_grid(comm, get_pseudo_y0_mesh)
local_nelements = local_mesh.nelements
else: # Restart
with open(snapshot_pattern.format(step=restart_step, rank=rank), "rb") as f:
restart_data = pickle.load(f)
local_mesh = restart_data["local_mesh"]
local_nelements = local_mesh.nelements
global_nelements = restart_data["global_nelements"]
assert comm.Get_size() == restart_data["num_parts"]
if rank == 0:
logging.info("Making discretization")
discr = EagerDGDiscretization(
actx, local_mesh, order=order, mpi_communicator=comm
)
nodes = thaw(actx, discr.nodes())
if restart_step is None:
if rank == 0:
logging.info("Initializing soln.")
# for Discontinuity initial conditions
current_state = bulk_init(0, nodes, eos=eos)
# for uniform background initial condition
#current_state = bulk_init(nodes, eos=eos)
else:
current_t = restart_data["t"]
current_step = restart_step
current_state = unflatten(
actx, discr.discr_from_dd("vol"),
obj_array_vectorize(actx.from_numpy, restart_data["state"]))
vis_timer = None
if logmgr:
logmgr_add_device_name(logmgr, queue)
logmgr_add_many_discretization_quantities(logmgr, discr, dim,
extract_vars_for_logging, units_for_logging)
#logmgr_add_package_versions(logmgr)
logmgr.add_watches(["step.max", "t_sim.max", "t_step.max", "t_log.max",
"min_pressure", "max_pressure",
"min_temperature", "max_temperature"])
try:
logmgr.add_watches(["memory_usage.max"])
except KeyError:
pass
if use_profiling:
logmgr.add_watches(["pyopencl_array_time.max"])
vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
logmgr.add_quantity(vis_timer)
visualizer = make_visualizer(discr, discr.order + 3
if discr.dim == 2 else discr.order)
# initname = initializer.__class__.__name__
initname = "pseudoY0"
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)
get_timestep = partial(inviscid_sim_timestep, discr=discr, t=current_t,
dt=current_dt, cfl=current_cfl, eos=eos,
t_final=t_final, constant_cfl=constant_cfl)
def my_rhs(t, state):
#return inviscid_operator(discr, eos=eos, boundaries=boundaries, q=state, t=t)
return ( inviscid_operator(discr, q=state, t=t,boundaries=boundaries, eos=eos)
+ artificial_viscosity(discr,t=t, r=state, eos=eos, boundaries=boundaries,
alpha=alpha_sc, s0=s0_sc, kappa=kappa_sc))
def my_checkpoint(step, t, dt, state):
write_restart = (check_step(step, nrestart)
if step != restart_step else False)
if write_restart is True:
with open(snapshot_pattern.format(step=step, rank=rank), "wb") as f:
pickle.dump({
"local_mesh": local_mesh,
"state": obj_array_vectorize(actx.to_numpy, flatten(state)),
"t": t,
"step": step,
"global_nelements": global_nelements,
"num_parts": nparts,
}, f)
return sim_checkpoint(discr=discr, visualizer=visualizer, eos=eos,
q=state, vizname=casename,
step=step, t=t, dt=dt, nstatus=nstatus,
nviz=nviz, exittol=exittol,
constant_cfl=constant_cfl, comm=comm, vis_timer=vis_timer,
overwrite=True,s0=s0_sc,kappa=kappa_sc)
if rank == 0:
logging.info("Stepping.")
(current_step, current_t, current_state) = \
advance_state(rhs=my_rhs, timestepper=timestepper,
checkpoint=my_checkpoint,
get_timestep=get_timestep, state=current_state,
t_final=t_final, t=current_t, istep=current_step,
logmgr=logmgr,eos=eos,dim=dim)
if rank == 0:
logger.info("Checkpointing final state ...")
my_checkpoint(current_step, t=current_t,
dt=(current_t - checkpoint_t),
state=current_state)
if current_t - t_final < 0:
raise ValueError("Simulation exited abnormally")
if logmgr:
logmgr.close()
elif use_profiling:
print(actx.tabulate_profiling_data())
def test_multilump_rhs(actx_factory, dim, order, v0):
"""Tests the inviscid rhs using the non-trivial 1, 2, and 3D mass lump case
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, 16]:
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}")
discr = EagerDGDiscretization(actx, mesh, order=order)
nodes = thaw(actx, discr.nodes())
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)
boundaries = {BTAG_ALL: PrescribedBoundary(lump)}
inviscid_rhs = euler_operator(discr,
eos=IdealSingleGas(),
boundaries=boundaries,
cv=lump_soln,
t=0.0)
expected_rhs = lump.exact_rhs(discr, cv=lump_soln, t=0)
print(f"inviscid_rhs = {inviscid_rhs}")
print(f"expected_rhs = {expected_rhs}")
err_max = discr.norm((inviscid_rhs - expected_rhs).join(), 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 main(ctx_factory=cl.create_some_context, use_leap=False):
"""Drive the example."""
cl_ctx = ctx_factory()
queue = cl.CommandQueue(cl_ctx)
actx = PyOpenCLArrayContext(queue,
allocator=cl_tools.MemoryPool(
cl_tools.ImmediateAllocator(queue)))
logger = logging.getLogger(__name__)
dim = 2
nel_1d = 16
order = 1
exittol = 2e-2
exittol = 100.0
t_final = 0.1
current_cfl = 1.0
vel = np.zeros(shape=(dim, ))
orig = np.zeros(shape=(dim, ))
# vel[:dim] = 1.0
current_dt = .01
current_t = 0
eos = IdealSingleGas()
initializer = Lump(dim=dim, center=orig, velocity=vel, rhoamp=0.0)
casename = "pulse"
boundaries = {BTAG_ALL: PrescribedBoundary(initializer)}
wall = AdiabaticSlipBoundary()
boundaries = {BTAG_ALL: wall}
constant_cfl = False
nstatus = 10
nviz = 10
rank = 0
checkpoint_t = current_t
current_step = 0
if use_leap:
from leap.rk import RK4MethodBuilder
timestepper = RK4MethodBuilder("state")
else:
timestepper = rk4_step
box_ll = -0.5
box_ur = 0.5
from mpi4py import MPI
comm = MPI.COMM_WORLD
nproc = comm.Get_size()
rank = comm.Get_rank()
num_parts = nproc
from meshmode.mesh.generation import generate_regular_rect_mesh
if num_parts > 1:
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)
else:
local_mesh = generate_regular_rect_mesh(a=(box_ll, ) * dim,
b=(box_ur, ) * dim,
nelements_per_axis=(nel_1d, ) *
dim)
global_nelements = local_mesh.nelements
local_nelements = local_mesh.nelements
discr = EagerDGDiscretization(actx,
local_mesh,
order=order,
mpi_communicator=comm)
nodes = thaw(actx, discr.nodes())
uniform_state = initializer(nodes)
acoustic_pulse = AcousticPulse(dim=dim,
amplitude=1.0,
width=.1,
center=orig)
current_state = acoustic_pulse(x_vec=nodes, cv=uniform_state, eos=eos)
visualizer = make_visualizer(discr)
initname = "pulse"
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)
get_timestep = partial(inviscid_sim_timestep,
discr=discr,
t=current_t,
dt=current_dt,
cfl=current_cfl,
eos=eos,
t_final=t_final,
constant_cfl=constant_cfl)
def my_rhs(t, state):
return euler_operator(discr,
cv=state,
t=t,
boundaries=boundaries,
eos=eos)
def my_checkpoint(step, t, dt, state):
return sim_checkpoint(discr,
visualizer,
eos,
cv=state,
vizname=casename,
step=step,
t=t,
dt=dt,
nstatus=nstatus,
nviz=nviz,
exittol=exittol,
constant_cfl=constant_cfl,
comm=comm)
try:
(current_step, current_t, current_state) = \
advance_state(rhs=my_rhs, timestepper=timestepper,
checkpoint=my_checkpoint,
get_timestep=get_timestep, state=current_state,
t=current_t, t_final=t_final)
except ExactSolutionMismatch as ex:
current_step = ex.step
current_t = ex.t
current_state = ex.state
# if current_t != checkpoint_t:
if rank == 0:
logger.info("Checkpointing final state ...")
my_checkpoint(current_step,
t=current_t,
dt=(current_t - checkpoint_t),
state=current_state)
if current_t - t_final < 0:
raise ValueError("Simulation exited abnormally")