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__copyright__ = """
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 pytest
from grudge.array_context import PytestPyOpenCLArrayContextFactory
from arraycontext import (
pytest_generate_tests_for_array_contexts,
)
pytest_generate_tests = pytest_generate_tests_for_array_contexts(
[PytestPyOpenCLArrayContextFactory])
import grudge.op as op
import logging
logger = logging.getLogger(__name__)
@pytest.mark.parametrize("order", [1, 2, 3])
def test_euler_vortex_convergence(actx_factory, order):
from meshmode.mesh.generation import generate_regular_rect_mesh
from grudge import DiscretizationCollection
from grudge.dof_desc import DISCR_TAG_BASE, DISCR_TAG_QUAD
from grudge.dt_utils import h_max_from_volume
from grudge.models.euler import (
vortex_initial_condition,
EulerOperator
)
from grudge.shortcuts import rk4_step
from meshmode.discretization.poly_element import \
(default_simplex_group_factory,
QuadratureSimplexGroupFactory)
from pytools.convergence import EOCRecorder
actx = actx_factory()
eoc_rec = EOCRecorder()
quad_tag = DISCR_TAG_QUAD
for resolution in [8, 16, 32]:
# {{{ discretization
mesh = generate_regular_rect_mesh(
a=(0, -5),
b=(20, 5),
nelements_per_axis=(2*resolution, resolution),
periodic=(True, True))
discr_tag_to_group_factory = {
DISCR_TAG_BASE: default_simplex_group_factory(base_dim=2, order=order),
DISCR_TAG_QUAD: QuadratureSimplexGroupFactory(2*order)
}
dcoll = DiscretizationCollection(
actx, mesh,
discr_tag_to_group_factory=discr_tag_to_group_factory
)
h_max = actx.to_numpy(h_max_from_volume(dcoll, dim=dcoll.ambient_dim))
nodes = actx.thaw(dcoll.nodes())
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# }}}
euler_operator = EulerOperator(
dcoll,
flux_type="lf",
gamma=1.4,
quadrature_tag=quad_tag
)
def rhs(t, q):
return euler_operator.operator(t, q)
compiled_rhs = actx.compile(rhs)
fields = vortex_initial_condition(nodes)
from grudge.dt_utils import h_min_from_volume
cfl = 0.125
cn = 0.5*(order + 1)**2
dt = cfl * actx.to_numpy(h_min_from_volume(dcoll)) / cn
final_time = dt * 10
logger.info("Timestep size: %g", dt)
# {{{ time stepping
step = 0
t = 0.0
last_q = None
while t < final_time:
fields = actx.thaw(actx.freeze(fields))
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fields = rk4_step(fields, t, dt, compiled_rhs)
t += dt
logger.info("[%04d] t = %.5f", step, t)
last_q = fields
last_t = t
step += 1
# }}}
error_l2 = op.norm(
dcoll,
last_q - vortex_initial_condition(nodes, t=last_t),
2
)
error_l2 = actx.to_numpy(error_l2)
logger.info("h_max %.5e error %.5e", h_max, error_l2)
eoc_rec.add_data_point(h_max, error_l2)
logger.info("\n%s", eoc_rec.pretty_print(abscissa_label="h",
error_label="L2 Error"))
assert (
eoc_rec.order_estimate() >= order + 0.5
)
# You can test individual routines by typing
# $ python test_grudge.py 'test_routine()'
if __name__ == "__main__":
import sys
if len(sys.argv) > 1:
exec(sys.argv[1])
else:
pytest.main([__file__])
# vim: fdm=marker