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Unverified Commit f757677d authored by Andreas Klöckner's avatar Andreas Klöckner Committed by GitHub
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Merge pull request #120 from inducer/retire-wave-op 

Retire redundant examples
parents 1a1330be 0747f041
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examples/wave/wave-min.py deleted 100644 → 0
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"""Minimal example of a grudge driver."""
__copyright__ = """
Copyright (C) 2015 Andreas Kloeckner
Copyright (C) 2021 University of Illinois Board of Trustees
"""
__license__ = """
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
"""
import numpy as np
import pyopencl as cl
import pyopencl.tools as cl_tools
from arraycontext import PyOpenCLArrayContext, thaw
from grudge.shortcuts import set_up_rk4
from grudge import DiscretizationCollection
from pytools.obj_array import flat_obj_array
import grudge.op as op
import logging
logger = logging.getLogger(__name__)
def main(ctx_factory, dim=2, order=4, visualize=False):
cl_ctx = ctx_factory()
queue = cl.CommandQueue(cl_ctx)
actx = PyOpenCLArrayContext(
queue,
allocator=cl_tools.MemoryPool(cl_tools.ImmediateAllocator(queue))
)
from meshmode.mesh.generation import generate_regular_rect_mesh
mesh = generate_regular_rect_mesh(
a=(-0.5,)*dim,
b=(0.5,)*dim,
nelements_per_axis=(16,)*dim)
logger.info("%d elements", mesh.nelements)
dcoll = DiscretizationCollection(actx, mesh, order=order)
def source_f(actx, dcoll, t=0):
source_center = np.array([0.1, 0.22, 0.33])[:dcoll.dim]
source_width = 0.05
source_omega = 3
nodes = thaw(dcoll.nodes(), actx)
source_center_dist = flat_obj_array(
[nodes[i] - source_center[i] for i in range(dcoll.dim)]
)
return (
np.sin(source_omega*t)
* actx.np.exp(
-np.dot(source_center_dist, source_center_dist)
/ source_width**2
)
)
from grudge.models.wave import WeakWaveOperator
from meshmode.mesh import BTAG_ALL, BTAG_NONE
wave_op = WeakWaveOperator(
dcoll,
0.1,
source_f=source_f,
dirichlet_tag=BTAG_NONE,
neumann_tag=BTAG_NONE,
radiation_tag=BTAG_ALL,
flux_type="upwind"
)
fields = flat_obj_array(
dcoll.zeros(actx),
[dcoll.zeros(actx) for i in range(dcoll.dim)]
)
dt_scaling_const = 2/3
dt = dt_scaling_const * wave_op.estimate_rk4_timestep(dcoll, fields=fields)
wave_op.check_bc_coverage(mesh)
def rhs(t, w):
return wave_op.operator(t, w)
dt_stepper = set_up_rk4("w", dt, fields, rhs)
final_t = 10
nsteps = int(final_t/dt) + 1
logger.info("dt=%g nsteps=%d", dt, nsteps)
from grudge.shortcuts import make_visualizer
vis = make_visualizer(dcoll)
step = 0
def norm(u):
return op.norm(dcoll, u, 2)
from time import time
t_last_step = time()
if visualize:
u = fields[0]
v = fields[1:]
vis.write_vtk_file(
f"fld-wave-min-{step:04d}.vtu",
[
("u", u),
("v", v),
]
)
for event in dt_stepper.run(t_end=final_t):
if isinstance(event, dt_stepper.StateComputed):
assert event.component_id == "w"
step += 1
if step % 10 == 0:
logger.info(f"step: {step} t: {time()-t_last_step} "
f"L2: {norm(u=event.state_component[0])}")
if visualize:
vis.write_vtk_file(
f"fld-wave-min-{step:04d}.vtu",
[
("u", event.state_component[0]),
("v", event.state_component[1:]),
]
)
t_last_step = time()
# NOTE: These are here to ensure the solution is bounded for the
# time interval specified
assert norm(u=event.state_component[0]) < 1
if __name__ == "__main__":
import argparse
parser = argparse.ArgumentParser()
parser.add_argument("--dim", default=2, type=int)
parser.add_argument("--order", default=4, type=int)
parser.add_argument("--visualize", action="store_true")
args = parser.parse_args()
logging.basicConfig(level=logging.INFO)
main(cl.create_some_context,
dim=args.dim,
order=args.order,
visualize=args.visualize)
examples/wave/wave-op.py deleted 100644 → 0
+ 0
− 222
View file @ 1a1330be
"""Minimal example of a grudge driver."""
__copyright__ = """
Copyright (C) 2020 Andreas Kloeckner
Copyright (C) 2021 University of Illinois Board of Trustees
"""
__license__ = """
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
"""
import numpy as np
import numpy.linalg as la # noqa
import pyopencl as cl
import pyopencl.tools as cl_tools
from arraycontext import PyOpenCLArrayContext, thaw
from pytools.obj_array import flat_obj_array
from meshmode.mesh import BTAG_ALL, BTAG_NONE # noqa
from grudge.discretization import DiscretizationCollection
from grudge.shortcuts import make_visualizer
import grudge.op as op
import logging
logger = logging.getLogger(__name__)
# {{{ wave equation bits
def wave_flux(dcoll, c, w_tpair):
u = w_tpair[0]
v = w_tpair[1:]
normal = thaw(dcoll.normal(w_tpair.dd), u.int.array_context)
flux_weak = flat_obj_array(
np.dot(v.avg, normal),
normal*u.avg,
)
# upwind
flux_weak += flat_obj_array(
0.5*(u.ext-u.int),
0.5*normal*np.dot(normal, v.ext-v.int),
)
return op.project(dcoll, w_tpair.dd, "all_faces", c*flux_weak)
def wave_operator(dcoll, c, w):
u = w[0]
v = w[1:]
dir_u = op.project(dcoll, "vol", BTAG_ALL, u)
dir_v = op.project(dcoll, "vol", BTAG_ALL, v)
dir_bval = flat_obj_array(dir_u, dir_v)
dir_bc = flat_obj_array(-dir_u, dir_v)
return (
op.inverse_mass(
dcoll,
flat_obj_array(
-c*op.weak_local_div(dcoll, v),
-c*op.weak_local_grad(dcoll, u)
)
+ op.face_mass(
dcoll,
sum(
wave_flux(dcoll, c=c, w_tpair=tpair)
for tpair in op.interior_trace_pairs(dcoll, w)
)
+ wave_flux(
dcoll, c=c,
w_tpair=op.bdry_trace_pair(dcoll,
BTAG_ALL,
interior=dir_bval,
exterior=dir_bc)
)
)
)
)
# }}}
def rk4_step(y, t, h, f):
k1 = f(t, y)
k2 = f(t+h/2, y + h/2*k1)
k3 = f(t+h/2, y + h/2*k2)
k4 = f(t+h, y + h*k3)
return y + h/6*(k1 + 2*k2 + 2*k3 + k4)
def estimate_rk4_timestep(dcoll, c):
from grudge.dt_utils import (dt_non_geometric_factor,
dt_geometric_factors)
dt_factor = (dt_non_geometric_factor(dcoll)
* op.nodal_min(dcoll, "vol", dt_geometric_factors(dcoll)))
return dt_factor * (1 / c)
def bump(actx, dcoll, t=0):
source_center = np.array([0.2, 0.35, 0.1])[:dcoll.dim]
source_width = 0.05
source_omega = 3
nodes = thaw(dcoll.nodes(), actx)
center_dist = flat_obj_array([
nodes[i] - source_center[i]
for i in range(dcoll.dim)
])
return (
np.cos(source_omega*t)
* actx.np.exp(
-np.dot(center_dist, center_dist)
/ source_width**2))
def main(ctx_factory, dim=2, order=3, visualize=False):
cl_ctx = ctx_factory()
queue = cl.CommandQueue(cl_ctx)
actx = PyOpenCLArrayContext(
queue,
allocator=cl_tools.MemoryPool(cl_tools.ImmediateAllocator(queue))
)
nel_1d = 16
from meshmode.mesh.generation import generate_regular_rect_mesh
mesh = generate_regular_rect_mesh(
a=(-0.5,)*dim,
b=(0.5,)*dim,
nelements_per_axis=(nel_1d,)*dim)
logger.info("%d elements", mesh.nelements)
dcoll = DiscretizationCollection(actx, mesh, order=order)
fields = flat_obj_array(
bump(actx, dcoll),
[dcoll.zeros(actx) for i in range(dcoll.dim)]
)
c = 1
dt_scaling_const = 0.45
dt = dt_scaling_const * estimate_rk4_timestep(dcoll, c)
vis = make_visualizer(dcoll)
def rhs(t, w):
return wave_operator(dcoll, c=c, w=w)
logger.info("dt = %g", dt)
t = 0
t_final = 3
istep = 0
while t < t_final:
fields = rk4_step(fields, t, dt, rhs)
if istep % 10 == 0:
logger.info(f"step: {istep} t: {t} "
f"L2: {op.norm(dcoll, fields[0], 2)} "
f"Linf: {op.norm(dcoll, fields[0], np.inf)} "
f"sol max: {op.nodal_max(dcoll, 'vol', fields[0])} "
f"sol min: {op.nodal_min(dcoll, 'vol', fields[0])}")
if visualize:
vis.write_vtk_file(
f"fld-wave-eager-{istep:04d}.vtu",
[
("u", fields[0]),
("v", fields[1:]),
]
)
t += dt
istep += 1
# NOTE: These are here to ensure the solution is bounded for the
# time interval specified
assert op.norm(dcoll, fields[0], 2) < 1
if __name__ == "__main__":
import argparse
parser = argparse.ArgumentParser()
parser.add_argument("--dim", default=2, type=int)
parser.add_argument("--order", default=3, type=int)
parser.add_argument("--visualize", action="store_true")
args = parser.parse_args()
logging.basicConfig(level=logging.INFO)
main(cl.create_some_context,
dim=args.dim,
order=args.order,
visualize=args.visualize)
# vim: foldmethod=marker
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