__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 logging import pyopencl as cl import pyopencl.tools as cl_tools import grudge.op as op from grudge.array_context import PyOpenCLArrayContext, PytatoPyOpenCLArrayContext from grudge.models.euler import EulerOperator, vortex_initial_condition from grudge.shortcuts import rk4_step logger = logging.getLogger(__name__) def run_vortex(actx, order=3, resolution=8, final_time=5, overintegration=False, flux_type="central", visualize=False): logger.info( """ Isentropic vortex parameters:\n order: %s\n final_time: %s\n resolution: %s\n overintegration: %s\n flux_type: %s\n visualize: %s """, order, final_time, resolution, overintegration, flux_type, visualize ) # eos-related parameters gamma = 1.4 # {{{ discretization from meshmode.mesh.generation import generate_regular_rect_mesh mesh = generate_regular_rect_mesh( a=(0, -5), b=(20, 5), nelements_per_axis=(2*resolution, resolution), periodic=(True, True)) from meshmode.discretization.poly_element import ( QuadratureSimplexGroupFactory, default_simplex_group_factory, ) from grudge.discretization import make_discretization_collection from grudge.dof_desc import DISCR_TAG_BASE, DISCR_TAG_QUAD exp_name = f"fld-vortex-N{order}-K{resolution}-{flux_type}" if overintegration: exp_name += "-overintegrated" quad_tag = DISCR_TAG_QUAD else: quad_tag = None dcoll = make_discretization_collection( actx, mesh, discr_tag_to_group_factory={ DISCR_TAG_BASE: default_simplex_group_factory( base_dim=mesh.dim, order=order), DISCR_TAG_QUAD: QuadratureSimplexGroupFactory(2*order) } ) # }}} # {{{ Euler operator euler_operator = EulerOperator( dcoll, flux_type=flux_type, gamma=gamma, quadrature_tag=quad_tag ) def rhs(t, q): return euler_operator.operator(actx, t, q) compiled_rhs = actx.compile(rhs) fields = vortex_initial_condition(actx.thaw(dcoll.nodes())) from grudge.dt_utils import h_min_from_volume cfl = 0.01 cn = 0.5*(order + 1)**2 dt = cfl * actx.to_numpy(h_min_from_volume(dcoll)) / cn logger.info("Timestep size: %g", dt) # }}} from grudge.shortcuts import make_visualizer vis = make_visualizer(dcoll) # {{{ time stepping step = 0 t = 0.0 while t < final_time: if step % 10 == 0: norm_q = actx.to_numpy(op.norm(dcoll, fields, 2)) logger.info("[%04d] t = %.5f |q| = %.5e", step, t, norm_q) if visualize: vis.write_vtk_file( f"{exp_name}-{step:04d}.vtu", [ ("rho", fields.mass), ("energy", fields.energy), ("momentum", fields.momentum) ] ) assert norm_q < 200 fields = actx.thaw(actx.freeze(fields)) fields = rk4_step(fields, t, dt, compiled_rhs) t += dt step += 1 # }}} def main(ctx_factory, order=3, final_time=5, resolution=8, overintegration=False, lf_stabilization=False, visualize=False, lazy=False): cl_ctx = ctx_factory() queue = cl.CommandQueue(cl_ctx) allocator = cl_tools.MemoryPool(cl_tools.ImmediateAllocator(queue)) if lazy: actx = PytatoPyOpenCLArrayContext(queue, allocator=allocator) else: actx = PyOpenCLArrayContext(queue, allocator=allocator) if lf_stabilization: flux_type = "lf" else: flux_type = "central" run_vortex( actx, order=order, resolution=resolution, final_time=final_time, overintegration=overintegration, flux_type=flux_type, visualize=visualize ) if __name__ == "__main__": import argparse parser = argparse.ArgumentParser() parser.add_argument("--order", default=3, type=int) parser.add_argument("--tfinal", default=0.015, type=float) parser.add_argument("--resolution", default=8, type=int) parser.add_argument("--oi", action="store_true", help="use overintegration") parser.add_argument("--lf", action="store_true", help="turn on lax-friedrichs dissipation") parser.add_argument("--visualize", action="store_true", help="write out vtk output") parser.add_argument("--lazy", action="store_true", help="switch to a lazy computation mode") args = parser.parse_args() logging.basicConfig(level=logging.INFO) main(cl.create_some_context, order=args.order, final_time=args.tfinal, resolution=args.resolution, overintegration=args.oi, lf_stabilization=args.lf, visualize=args.visualize, lazy=args.lazy)