コード例 #1
0
def main():
    logmgr = LogManager("mylog.dat", "w")  # , comm=...

    # set a run property
    logmgr.set_constant("myconst", uniform(0, 1))

    add_run_info(logmgr)
    add_general_quantities(logmgr)
    add_simulation_quantities(logmgr)

    vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
    logmgr.add_quantity(vis_timer)
    logmgr.add_quantity(Fifteen("fifteen"))
    logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])

    for istep in range(200):
        logmgr.tick_before()

        dt = uniform(0.01, 0.1)
        set_dt(logmgr, dt)
        sleep(dt)

        # Illustrate custom timers
        if istep % 10 == 0:
            with vis_timer.start_sub_timer():
                sleep(0.05)

        # Illustrate warnings capture
        if uniform(0, 1) < 0.05:
            warn("Oof. Something went awry.")

        logmgr.tick_after()

    logmgr.close()
コード例 #2
0
def logmgr_add_many_discretization_quantities(logmgr: LogManager, discr, dim,
                                              extract_vars_for_logging,
                                              units_for_logging):
    """Add default discretization quantities to the logmgr."""
    for op in ["min", "max", "L2_norm"]:
        for quantity in ["pressure", "temperature"]:
            logmgr.add_quantity(
                DiscretizationBasedQuantity(discr, quantity, op,
                                            extract_vars_for_logging,
                                            units_for_logging))

        for quantity in ["mass", "energy"]:
            logmgr.add_quantity(
                DiscretizationBasedQuantity(discr, quantity, op,
                                            extract_vars_for_logging,
                                            units_for_logging))

        for d in range(dim):
            logmgr.add_quantity(
                DiscretizationBasedQuantity(discr,
                                            "momentum",
                                            op,
                                            extract_vars_for_logging,
                                            units_for_logging,
                                            axis=d))
コード例 #3
0
def initialize_logmgr(enable_logmgr: bool,
                      filename: str = None,
                      mode: str = "wu",
                      mpi_comm=None) -> LogManager:
    """Create and initialize a mirgecom-specific :class:`logpyle.LogManager`."""
    if not enable_logmgr:
        return None

    logmgr = LogManager(filename=filename, mode=mode, mpi_comm=mpi_comm)

    add_run_info(logmgr)
    add_package_versions(logmgr)
    add_general_quantities(logmgr)
    add_simulation_quantities(logmgr)

    try:
        logmgr.add_quantity(PythonMemoryUsage())
    except ImportError:
        from warnings import warn
        warn("psutil module not found, not tracking memory consumption."
             "Install it with 'pip install psutil'")

    return logmgr
コード例 #4
0
ファイル: heat.py プロジェクト: VincentWells/grudge-1
def main(write_output=True) :
    from math import sin, cos, pi, exp, sqrt
    from grudge.data import TimeConstantGivenFunction, \
            ConstantGivenFunction

    from grudge.backends import guess_run_context
    rcon = guess_run_context()

    dim = 2

    def boundary_tagger(fvi, el, fn, all_v):
        if el.face_normals[fn][0] > 0:
            return ["dirichlet"]
        else:
            return ["neumann"]

    if dim == 2:
        if rcon.is_head_rank:
            from grudge.mesh.generator import make_disk_mesh
            mesh = make_disk_mesh(r=0.5, boundary_tagger=boundary_tagger)
    elif dim == 3:
        if rcon.is_head_rank:
            from grudge.mesh.generator import make_ball_mesh
            mesh = make_ball_mesh(max_volume=0.001)
    else:
        raise RuntimeError("bad number of dimensions")

    if rcon.is_head_rank:
        print("%d elements" % len(mesh.elements))
        mesh_data = rcon.distribute_mesh(mesh)
    else:
        mesh_data = rcon.receive_mesh()

    discr = rcon.make_discretization(mesh_data, order=3,
            debug=["cuda_no_plan"],
            default_scalar_type=numpy.float64)

    if write_output:
        from grudge.visualization import  VtkVisualizer
        vis = VtkVisualizer(discr, rcon, "fld")

    def u0(x, el):
        if la.norm(x) < 0.2:
            return 1
        else:
            return 0

    def coeff(x, el):
        if x[0] < 0:
            return 0.25
        else:
            return 1

    def dirichlet_bc(t, x):
        return 0

    def neumann_bc(t, x):
        return 2

    from grudge.models.diffusion import DiffusionOperator
    op = DiffusionOperator(discr.dimensions,
            #coeff=coeff,
            dirichlet_tag="dirichlet",
            dirichlet_bc=TimeConstantGivenFunction(ConstantGivenFunction(0)),
            neumann_tag="neumann",
            neumann_bc=TimeConstantGivenFunction(ConstantGivenFunction(1))
            )
    u = discr.interpolate_volume_function(u0)

    # diagnostics setup -------------------------------------------------------
    from logpyle import LogManager, \
            add_general_quantities, \
            add_simulation_quantities, \
            add_run_info

    if write_output:
        log_file_name = "heat.dat"
    else:
        log_file_name = None

    logmgr = LogManager(log_file_name, "w", rcon.communicator)
    add_run_info(logmgr)
    add_general_quantities(logmgr)
    add_simulation_quantities(logmgr)
    discr.add_instrumentation(logmgr)

    from grudge.log import LpNorm
    u_getter = lambda: u
    logmgr.add_quantity(LpNorm(u_getter, discr, 1, name="l1_u"))
    logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))

    logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])

    # timestep loop -----------------------------------------------------------
    from grudge.timestep.runge_kutta import LSRK4TimeStepper, ODE45TimeStepper
    from grudge.timestep.dumka3 import Dumka3TimeStepper
    #stepper = LSRK4TimeStepper()
    stepper = Dumka3TimeStepper(3, rtol=1e-6, rcon=rcon,
            vector_primitive_factory=discr.get_vector_primitive_factory(),
            dtype=discr.default_scalar_type)
    #stepper = ODE45TimeStepper(rtol=1e-6, rcon=rcon,
            #vector_primitive_factory=discr.get_vector_primitive_factory(),
            #dtype=discr.default_scalar_type)
    stepper.add_instrumentation(logmgr)

    rhs = op.bind(discr)
    try:
        next_dt = op.estimate_timestep(discr,
                stepper=LSRK4TimeStepper(), t=0, fields=u)

        from grudge.timestep import times_and_steps
        step_it = times_and_steps(
                final_time=0.1, logmgr=logmgr,
                max_dt_getter=lambda t: next_dt,
                taken_dt_getter=lambda: taken_dt)

        for step, t, dt in step_it:
            if step % 10 == 0 and write_output:
                visf = vis.make_file("fld-%04d" % step)
                vis.add_data(visf, [
                    ("u", discr.convert_volume(u, kind="numpy")),
                    ], time=t, step=step)
                visf.close()

            u, t, taken_dt, next_dt = stepper(u, t, next_dt, rhs)
            #u = stepper(u, t, dt, rhs)

        assert discr.norm(u) < 1
    finally:
        if write_output:
            vis.close()

        logmgr.close()
        discr.close()
コード例 #5
0
def logmgr_add_device_memory_usage(logmgr: LogManager, queue: cl.CommandQueue):
    """Add the OpenCL device memory usage to the log."""
    if not (queue.device.type & cl.device_type.GPU):
        return
    logmgr.add_quantity(DeviceMemoryUsage())
コード例 #6
0
ファイル: burgers.py プロジェクト: VincentWells/grudge-1
            add_run_info

    if write_output:
        log_file_name = "burgers.dat"
    else:
        log_file_name = None

    logmgr = LogManager(log_file_name, "w", rcon.communicator)
    add_run_info(logmgr)
    add_general_quantities(logmgr)
    add_simulation_quantities(logmgr)
    discr.add_instrumentation(logmgr)

    from grudge.log import LpNorm
    u_getter = lambda: u
    logmgr.add_quantity(LpNorm(u_getter, discr, p=1, name="l1_u"))

    logmgr.add_watches(["step.max", "t_sim.max", "l1_u", "t_step.max"])

    # timestep loop -----------------------------------------------------------
    rhs = op.bind(discr)

    from grudge.timestep.runge_kutta import ODE45TimeStepper, LSRK4TimeStepper
    stepper = ODE45TimeStepper()

    stepper.add_instrumentation(logmgr)

    try:
        from grudge.timestep import times_and_steps
        # for visc=0.01
        #stab_fac = 0.1 # RK4
コード例 #7
0
def main(write_output=True, flux_type_arg="upwind"):
    from grudge.tools import mem_checkpoint
    from math import sin, cos, pi, sqrt
    from math import floor

    from grudge.backends import guess_run_context
    rcon = guess_run_context()

    def f(x):
        return sin(pi*x)

    def u_analytic(x, el, t):
        return f((-numpy.dot(v, x)/norm_v+t*norm_v))

    def boundary_tagger(vertices, el, face_nr, all_v):
        if numpy.dot(el.face_normals[face_nr], v) < 0:
            return ["inflow"]
        else:
            return ["outflow"]

    dim = 2

    if dim == 1:
        v = numpy.array([1])
        if rcon.is_head_rank:
            from grudge.mesh.generator import make_uniform_1d_mesh
            mesh = make_uniform_1d_mesh(0, 2, 10, periodic=True)
    elif dim == 2:
        v = numpy.array([2,0])
        if rcon.is_head_rank:
            from grudge.mesh.generator import make_disk_mesh
            mesh = make_disk_mesh(boundary_tagger=boundary_tagger)
    elif dim == 3:
        v = numpy.array([0,0,1])
        if rcon.is_head_rank:
            from grudge.mesh.generator import make_cylinder_mesh, make_ball_mesh, make_box_mesh

            mesh = make_cylinder_mesh(max_volume=0.04, height=2, boundary_tagger=boundary_tagger,
                    periodic=False, radial_subdivisions=32)
    else:
        raise RuntimeError("bad number of dimensions")

    norm_v = la.norm(v)

    if rcon.is_head_rank:
        mesh_data = rcon.distribute_mesh(mesh)
    else:
        mesh_data = rcon.receive_mesh()

    if dim != 1:
        mesh_data = mesh_data.reordered_by("cuthill")

    discr = rcon.make_discretization(mesh_data, order=4)
    vis_discr = discr

    from grudge.visualization import VtkVisualizer
    if write_output:
        vis = VtkVisualizer(vis_discr, rcon, "fld")

    # operator setup ----------------------------------------------------------
    from grudge.data import \
            ConstantGivenFunction, \
            TimeConstantGivenFunction, \
            TimeDependentGivenFunction
    from grudge.models.advection import StrongAdvectionOperator, WeakAdvectionOperator
    op = WeakAdvectionOperator(v,
            inflow_u=TimeDependentGivenFunction(u_analytic),
            flux_type=flux_type_arg)

    u = discr.interpolate_volume_function(lambda x, el: u_analytic(x, el, 0))

    # timestep setup ----------------------------------------------------------
    from grudge.timestep.runge_kutta import LSRK4TimeStepper
    stepper = LSRK4TimeStepper()

    if rcon.is_head_rank:
        print("%d elements" % len(discr.mesh.elements))

    # diagnostics setup -------------------------------------------------------
    from logpyle import LogManager, \
            add_general_quantities, \
            add_simulation_quantities, \
            add_run_info

    if write_output:
        log_file_name = "advection.dat"
    else:
        log_file_name = None

    logmgr = LogManager(log_file_name, "w", rcon.communicator)
    add_run_info(logmgr)
    add_general_quantities(logmgr)
    add_simulation_quantities(logmgr)
    discr.add_instrumentation(logmgr)

    stepper.add_instrumentation(logmgr)

    from grudge.log import Integral, LpNorm
    u_getter = lambda: u
    logmgr.add_quantity(Integral(u_getter, discr, name="int_u"))
    logmgr.add_quantity(LpNorm(u_getter, discr, p=1, name="l1_u"))
    logmgr.add_quantity(LpNorm(u_getter, discr, name="l2_u"))

    logmgr.add_watches(["step.max", "t_sim.max", "l2_u", "t_step.max"])

    # timestep loop -----------------------------------------------------------
    rhs = op.bind(discr)

    try:
        from grudge.timestep import times_and_steps
        step_it = times_and_steps(
                final_time=3, logmgr=logmgr,
                max_dt_getter=lambda t: op.estimate_timestep(discr,
                    stepper=stepper, t=t, fields=u))

        for step, t, dt in step_it:
            if step % 5 == 0 and write_output:
                visf = vis.make_file("fld-%04d" % step)
                vis.add_data(visf, [
                    ("u", discr.convert_volume(u, kind="numpy")),
                    ], time=t, step=step)
                visf.close()

            u = stepper(u, t, dt, rhs)

        true_u = discr.interpolate_volume_function(lambda x, el: u_analytic(x, el, t))
        print(discr.norm(u-true_u))
        assert discr.norm(u-true_u) < 1e-2
    finally:
        if write_output:
            vis.close()

        logmgr.close()
        discr.close()
コード例 #8
0
def simple_wave_entrypoint(dim=2, num_elems=256, order=4, num_steps=30,
                           log_filename="grudge.dat"):
    cl_ctx = cl.create_some_context()
    queue = cl.CommandQueue(cl_ctx)

    from mpi4py import MPI
    comm = MPI.COMM_WORLD
    num_parts = comm.Get_size()
    n = int(num_elems ** (1./dim))

    from meshmode.distributed import MPIMeshDistributor
    mesh_dist = MPIMeshDistributor(comm)

    if mesh_dist.is_mananger_rank():
        from meshmode.mesh.generation import generate_regular_rect_mesh
        mesh = generate_regular_rect_mesh(a=(-0.5,)*dim,
                                          b=(0.5,)*dim,
                                          n=(n,)*dim)

        from pymetis import part_graph
        _, p = part_graph(num_parts,
                          xadj=mesh.nodal_adjacency.neighbors_starts.tolist(),
                          adjncy=mesh.nodal_adjacency.neighbors.tolist())
        part_per_element = np.array(p)

        local_mesh = mesh_dist.send_mesh_parts(mesh, part_per_element, num_parts)
    else:
        local_mesh = mesh_dist.receive_mesh_part()

    vol_discr = DGDiscretizationWithBoundaries(cl_ctx, local_mesh, order=order,
                                               mpi_communicator=comm)

    source_center = np.array([0.1, 0.22, 0.33])[:local_mesh.dim]
    source_width = 0.05
    source_omega = 3

    sym_x = sym.nodes(local_mesh.dim)
    sym_source_center_dist = sym_x - source_center
    sym_t = sym.ScalarVariable("t")

    from grudge.models.wave import StrongWaveOperator
    from meshmode.mesh import BTAG_ALL, BTAG_NONE
    op = StrongWaveOperator(-0.1, vol_discr.dim,
            source_f=(
                sym.sin(source_omega*sym_t)
                * sym.exp(
                    -np.dot(sym_source_center_dist, sym_source_center_dist)
                    / source_width**2)),
            dirichlet_tag=BTAG_NONE,
            neumann_tag=BTAG_NONE,
            radiation_tag=BTAG_ALL,
            flux_type="upwind")

    from pytools.obj_array import join_fields
    fields = join_fields(vol_discr.zeros(queue),
            [vol_discr.zeros(queue) for i in range(vol_discr.dim)])

    from logpyle import LogManager, \
            add_general_quantities, \
            add_run_info, \
            IntervalTimer, EventCounter
    # NOTE: LogManager hangs when using a file on a shared directory.
    logmgr = LogManager(log_filename, "w", comm)
    add_run_info(logmgr)
    add_general_quantities(logmgr)
    log_quantities =\
        {"rank_data_swap_timer": IntervalTimer("rank_data_swap_timer",
                        "Time spent evaluating RankDataSwapAssign"),
        "rank_data_swap_counter": EventCounter("rank_data_swap_counter",
                        "Number of RankDataSwapAssign instructions evaluated"),
        "exec_timer": IntervalTimer("exec_timer",
                        "Total time spent executing instructions"),
        "insn_eval_timer": IntervalTimer("insn_eval_timer",
                        "Time spend evaluating instructions"),
        "future_eval_timer": IntervalTimer("future_eval_timer",
                        "Time spent evaluating futures"),
        "busy_wait_timer": IntervalTimer("busy_wait_timer",
                        "Time wasted doing busy wait")}
    for quantity in log_quantities.values():
        logmgr.add_quantity(quantity)

    bound_op = bind(vol_discr, op.sym_operator())

    def rhs(t, w):
        val, rhs.profile_data = bound_op(queue, profile_data=rhs.profile_data,
                                                log_quantities=log_quantities,
                                                t=t, w=w)
        return val
    rhs.profile_data = {}

    dt = 0.04
    dt_stepper = set_up_rk4("w", dt, fields, rhs)

    logmgr.tick_before()
    for event in dt_stepper.run(t_end=dt * num_steps):
        if isinstance(event, dt_stepper.StateComputed):
            logmgr.tick_after()
            logmgr.tick_before()
    logmgr.tick_after()

    def print_profile_data(data):
        print("""execute() for rank %d:
            \tInstruction Evaluation: %f%%
            \tFuture Evaluation: %f%%
            \tBusy Wait: %f%%
            \tTotal: %f seconds""" %
            (comm.Get_rank(),
             data['insn_eval_time'] / data['total_time'] * 100,
             data['future_eval_time'] / data['total_time'] * 100,
             data['busy_wait_time'] / data['total_time'] * 100,
             data['total_time']))

    print_profile_data(rhs.profile_data)
    logmgr.close()
コード例 #9
0
def mpi_communication_entrypoint():
    cl_ctx = cl.create_some_context()
    queue = cl.CommandQueue(cl_ctx)
    actx = PyOpenCLArrayContext(queue)

    from mpi4py import MPI
    comm = MPI.COMM_WORLD
    i_local_rank = comm.Get_rank()
    num_parts = comm.Get_size()

    from meshmode.distributed import MPIMeshDistributor, get_partition_by_pymetis
    mesh_dist = MPIMeshDistributor(comm)

    dim = 2
    dt = 0.04
    order = 4

    if mesh_dist.is_mananger_rank():
        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)

        part_per_element = get_partition_by_pymetis(mesh, num_parts)

        local_mesh = mesh_dist.send_mesh_parts(mesh, part_per_element,
                                               num_parts)
    else:
        local_mesh = mesh_dist.receive_mesh_part()

    vol_discr = DiscretizationCollection(actx,
                                         local_mesh,
                                         order=order,
                                         mpi_communicator=comm)

    source_center = np.array([0.1, 0.22, 0.33])[:local_mesh.dim]
    source_width = 0.05
    source_omega = 3

    sym_x = sym.nodes(local_mesh.dim)
    sym_source_center_dist = sym_x - source_center
    sym_t = sym.ScalarVariable("t")

    from grudge.models.wave import WeakWaveOperator
    from meshmode.mesh import BTAG_ALL, BTAG_NONE
    op = WeakWaveOperator(
        0.1,
        vol_discr.dim,
        source_f=(
            sym.sin(source_omega * sym_t) *
            sym.exp(-np.dot(sym_source_center_dist, sym_source_center_dist) /
                    source_width**2)),
        dirichlet_tag=BTAG_NONE,
        neumann_tag=BTAG_NONE,
        radiation_tag=BTAG_ALL,
        flux_type="upwind")

    from pytools.obj_array import flat_obj_array
    fields = flat_obj_array(
        vol_discr.zeros(actx),
        [vol_discr.zeros(actx) for i in range(vol_discr.dim)])

    # FIXME
    # dt = op.estimate_rk4_timestep(vol_discr, fields=fields)

    # FIXME: Should meshmode consider BTAG_PARTITION to be a boundary?
    #           Fails because: "found faces without boundary conditions"
    # op.check_bc_coverage(local_mesh)

    from logpyle import LogManager, \
            add_general_quantities, \
            add_run_info, \
            IntervalTimer, EventCounter
    log_filename = None
    # NOTE: LogManager hangs when using a file on a shared directory.
    # log_filename = "grudge_log.dat"
    logmgr = LogManager(log_filename, "w", comm)
    add_run_info(logmgr)
    add_general_quantities(logmgr)
    log_quantities =\
        {"rank_data_swap_timer": IntervalTimer("rank_data_swap_timer",
        "Time spent evaluating RankDataSwapAssign"),
        "rank_data_swap_counter": EventCounter("rank_data_swap_counter",
        "Number of RankDataSwapAssign instructions evaluated"),
        "exec_timer": IntervalTimer("exec_timer",
        "Total time spent executing instructions"),
        "insn_eval_timer": IntervalTimer("insn_eval_timer",
        "Time spend evaluating instructions"),
        "future_eval_timer": IntervalTimer("future_eval_timer",
        "Time spent evaluating futures"),
        "busy_wait_timer": IntervalTimer("busy_wait_timer",
        "Time wasted doing busy wait")}
    for quantity in log_quantities.values():
        logmgr.add_quantity(quantity)

    logger.debug("\n%s", sym.pretty(op.sym_operator()))
    bound_op = bind(vol_discr, op.sym_operator())

    def rhs(t, w):
        val, rhs.profile_data = bound_op(profile_data=rhs.profile_data,
                                         log_quantities=log_quantities,
                                         t=t,
                                         w=w)
        return val

    rhs.profile_data = {}

    dt_stepper = set_up_rk4("w", dt, fields, rhs)

    final_t = 4
    nsteps = int(final_t / dt)
    logger.info("[%04d] dt %.5e nsteps %4d", i_local_rank, dt, nsteps)

    # from grudge.shortcuts import make_visualizer
    # vis = make_visualizer(vol_discr, vis_order=order)

    step = 0

    norm = bind(vol_discr, sym.norm(2, sym.var("u")))

    from time import time
    t_last_step = time()

    logmgr.tick_before()
    for event in dt_stepper.run(t_end=final_t):
        if isinstance(event, dt_stepper.StateComputed):
            assert event.component_id == "w"

            step += 1
            logger.debug("[%04d] t = %.5e |u| = %.5e ellapsed %.5e", step,
                         event.t, norm(u=event.state_component[0]),
                         time() - t_last_step)

            # if step % 10 == 0:
            #     vis.write_vtk_file("rank%d-fld-%04d.vtu" % (i_local_rank, step),
            #                        [("u", event.state_component[0]),
            #                         ("v", event.state_component[1:])])
            t_last_step = time()
            logmgr.tick_after()
            logmgr.tick_before()
    logmgr.tick_after()

    def print_profile_data(data):
        logger.info(
            """execute() for rank %d:\n
            \tInstruction Evaluation: %g\n
            \tFuture Evaluation: %g\n
            \tBusy Wait: %g\n
            \tTotal: %g seconds""", i_local_rank,
            data["insn_eval_time"] / data["total_time"] * 100,
            data["future_eval_time"] / data["total_time"] * 100,
            data["busy_wait_time"] / data["total_time"] * 100,
            data["total_time"])

    print_profile_data(rhs.profile_data)
    logmgr.close()
    logger.info("Rank %d exiting", i_local_rank)
コード例 #10
0
ファイル: maxwell-pml.py プロジェクト: VincentWells/grudge-1
def main(write_output=True):
    from grudge.timestep.runge_kutta import LSRK4TimeStepper
    from math import sqrt, pi, exp

    from grudge.backends import guess_run_context
    rcon = guess_run_context()

    epsilon0 = 8.8541878176e-12  # C**2 / (N m**2)
    mu0 = 4 * pi * 1e-7  # N/A**2.
    epsilon = 1 * epsilon0
    mu = 1 * mu0

    c = 1 / sqrt(mu * epsilon)

    pml_width = 0.5
    #mesh = make_mesh(a=np.array((-1,-1,-1)), b=np.array((1,1,1)),
    #mesh = make_mesh(a=np.array((-3,-3)), b=np.array((3,3)),
    mesh = make_mesh(
        a=np.array((-1, -1)),
        b=np.array((1, 1)),
        #mesh = make_mesh(a=np.array((-2,-2)), b=np.array((2,2)),
        pml_width=pml_width,
        max_volume=0.01)

    if rcon.is_head_rank:
        mesh_data = rcon.distribute_mesh(mesh)
    else:
        mesh_data = rcon.receive_mesh()

    class Current:
        def volume_interpolant(self, t, discr):
            from grudge.tools import make_obj_array

            result = discr.volume_zeros(kind="numpy", dtype=np.float64)

            omega = 6 * c
            if omega * t > 2 * pi:
                return make_obj_array([result, result, result])

            x = make_obj_array(discr.nodes.T)
            r = np.sqrt(np.dot(x, x))

            idx = r < 0.3
            result[idx] = (1+np.cos(pi*r/0.3))[idx] \
                    *np.sin(omega*t)**3

            result = discr.convert_volume(result,
                                          kind=discr.compute_kind,
                                          dtype=discr.default_scalar_type)
            return make_obj_array([-result, result, result])

    order = 3
    discr = rcon.make_discretization(mesh_data,
                                     order=order,
                                     debug=["cuda_no_plan"])

    from grudge.visualization import VtkVisualizer
    if write_output:
        vis = VtkVisualizer(discr, rcon, "em-%d" % order)

    from grudge.mesh import BTAG_ALL, BTAG_NONE
    from grudge.data import GivenFunction, TimeHarmonicGivenFunction, TimeIntervalGivenFunction
    from grudge.models.em import MaxwellOperator
    from grudge.models.pml import \
            AbarbanelGottliebPMLMaxwellOperator, \
            AbarbanelGottliebPMLTMMaxwellOperator, \
            AbarbanelGottliebPMLTEMaxwellOperator

    op = AbarbanelGottliebPMLTEMaxwellOperator(epsilon,
                                               mu,
                                               flux_type=1,
                                               current=Current(),
                                               pec_tag=BTAG_ALL,
                                               absorb_tag=BTAG_NONE,
                                               add_decay=True)

    fields = op.assemble_ehpq(discr=discr)

    stepper = LSRK4TimeStepper()

    if rcon.is_head_rank:
        print("order %d" % order)
        print("#elements=", len(mesh.elements))

    # diagnostics setup ---------------------------------------------------
    from logpyle import LogManager, add_general_quantities, \
            add_simulation_quantities, add_run_info

    if write_output:
        log_file_name = "maxwell-%d.dat" % order
    else:
        log_file_name = None

    logmgr = LogManager(log_file_name, "w", rcon.communicator)
    add_run_info(logmgr)
    add_general_quantities(logmgr)
    add_simulation_quantities(logmgr)
    discr.add_instrumentation(logmgr)
    stepper.add_instrumentation(logmgr)

    from logpyle import IntervalTimer
    vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
    logmgr.add_quantity(vis_timer)

    from grudge.log import EMFieldGetter, add_em_quantities
    field_getter = EMFieldGetter(discr, op, lambda: fields)
    add_em_quantities(logmgr, op, field_getter)

    logmgr.add_watches(
        ["step.max", "t_sim.max", ("W_field", "W_el+W_mag"), "t_step.max"])

    from grudge.log import LpNorm

    class FieldIdxGetter:
        def __init__(self, whole_getter, idx):
            self.whole_getter = whole_getter
            self.idx = idx

        def __call__(self):
            return self.whole_getter()[self.idx]

    # timestep loop -------------------------------------------------------

    t = 0
    pml_coeff = op.coefficients_from_width(discr, width=pml_width)
    rhs = op.bind(discr, pml_coeff)

    try:
        from grudge.timestep import times_and_steps
        step_it = times_and_steps(
            final_time=4 / c,
            logmgr=logmgr,
            max_dt_getter=lambda t: op.estimate_timestep(
                discr, stepper=stepper, t=t, fields=fields))

        for step, t, dt in step_it:
            if step % 10 == 0 and write_output:
                e, h, p, q = op.split_ehpq(fields)
                visf = vis.make_file("em-%d-%04d" % (order, step))
                #pml_rhs_e, pml_rhs_h, pml_rhs_p, pml_rhs_q = \
                #op.split_ehpq(rhs(t, fields))
                j = Current().volume_interpolant(t, discr)
                vis.add_data(
                    visf,
                    [
                        ("e", discr.convert_volume(e, "numpy")),
                        ("h", discr.convert_volume(h, "numpy")),
                        ("p", discr.convert_volume(p, "numpy")),
                        ("q", discr.convert_volume(q, "numpy")),
                        ("j", discr.convert_volume(j, "numpy")),
                        #("pml_rhs_e", pml_rhs_e),
                        #("pml_rhs_h", pml_rhs_h),
                        #("pml_rhs_p", pml_rhs_p),
                        #("pml_rhs_q", pml_rhs_q),
                        #("max_rhs_e", max_rhs_e),
                        #("max_rhs_h", max_rhs_h),
                        #("max_rhs_p", max_rhs_p),
                        #("max_rhs_q", max_rhs_q),
                    ],
                    time=t,
                    step=step)
                visf.close()

            fields = stepper(fields, t, dt, rhs)

        _, _, energies_data = logmgr.get_expr_dataset("W_el+W_mag")
        energies = [value for tick_nbr, value in energies_data]

        assert energies[-1] < max(energies) * 1e-2

    finally:
        logmgr.close()

        if write_output:
            vis.close()
コード例 #11
0
def main(write_output=True):
    from math import sqrt, pi, exp
    from os.path import join

    from grudge.backends import guess_run_context
    rcon = guess_run_context()

    epsilon0 = 8.8541878176e-12  # C**2 / (N m**2)
    mu0 = 4 * pi * 1e-7  # N/A**2.
    epsilon = 1 * epsilon0
    mu = 1 * mu0

    output_dir = "maxwell-2d"
    import os
    if not os.access(output_dir, os.F_OK):
        os.makedirs(output_dir)

    from grudge.mesh.generator import make_disk_mesh
    mesh = make_disk_mesh(r=0.5, max_area=1e-3)

    if rcon.is_head_rank:
        mesh_data = rcon.distribute_mesh(mesh)
    else:
        mesh_data = rcon.receive_mesh()

    class CurrentSource:
        shape = (3, )

        def __call__(self, x, el):
            return [0, 0, exp(-80 * la.norm(x))]

    order = 3
    final_time = 1e-8
    discr = rcon.make_discretization(mesh_data,
                                     order=order,
                                     debug=["cuda_no_plan"])

    from grudge.visualization import VtkVisualizer
    if write_output:
        vis = VtkVisualizer(discr, rcon, join(output_dir, "em-%d" % order))

    if rcon.is_head_rank:
        print("order %d" % order)
        print("#elements=", len(mesh.elements))

    from grudge.mesh import BTAG_ALL, BTAG_NONE
    from grudge.models.em import TMMaxwellOperator
    from grudge.data import make_tdep_given, TimeIntervalGivenFunction
    op = TMMaxwellOperator(epsilon,
                           mu,
                           flux_type=1,
                           current=TimeIntervalGivenFunction(
                               make_tdep_given(CurrentSource()),
                               off_time=final_time / 10),
                           absorb_tag=BTAG_ALL,
                           pec_tag=BTAG_NONE)
    fields = op.assemble_eh(discr=discr)

    from grudge.timestep import LSRK4TimeStepper
    stepper = LSRK4TimeStepper()
    from time import time
    last_tstep = time()
    t = 0

    # diagnostics setup ---------------------------------------------------
    from logpyle import LogManager, add_general_quantities, \
            add_simulation_quantities, add_run_info

    if write_output:
        log_file_name = join(output_dir, "maxwell-%d.dat" % order)
    else:
        log_file_name = None

    logmgr = LogManager(log_file_name, "w", rcon.communicator)
    add_run_info(logmgr)
    add_general_quantities(logmgr)
    add_simulation_quantities(logmgr)
    discr.add_instrumentation(logmgr)
    stepper.add_instrumentation(logmgr)

    from logpyle import IntervalTimer
    vis_timer = IntervalTimer("t_vis", "Time spent visualizing")
    logmgr.add_quantity(vis_timer)

    from grudge.log import EMFieldGetter, add_em_quantities
    field_getter = EMFieldGetter(discr, op, lambda: fields)
    add_em_quantities(logmgr, op, field_getter)

    logmgr.add_watches(
        ["step.max", "t_sim.max", ("W_field", "W_el+W_mag"), "t_step.max"])

    # timestep loop -------------------------------------------------------
    rhs = op.bind(discr)

    try:
        from grudge.timestep import times_and_steps
        step_it = times_and_steps(
            final_time=final_time,
            logmgr=logmgr,
            max_dt_getter=lambda t: op.estimate_timestep(
                discr, stepper=stepper, t=t, fields=fields))

        for step, t, dt in step_it:
            if step % 10 == 0 and write_output:
                e, h = op.split_eh(fields)
                visf = vis.make_file(
                    join(output_dir, "em-%d-%04d" % (order, step)))
                vis.add_data(visf, [
                    ("e", discr.convert_volume(e, "numpy")),
                    ("h", discr.convert_volume(h, "numpy")),
                ],
                             time=t,
                             step=step)
                visf.close()

            fields = stepper(fields, t, dt, rhs)

        assert discr.norm(fields) < 0.03
    finally:
        if write_output:
            vis.close()

        logmgr.close()
        discr.close()
コード例 #12
0
def main():
    from grudge.backends import guess_run_context
    rcon = guess_run_context(["cuda"])

    if rcon.is_head_rank:
        mesh = make_boxmesh()
        #from grudge.mesh import make_rect_mesh
        #mesh = make_rect_mesh(
        #       boundary_tagger=lambda fvi, el, fn, all_v: ["inflow"])
        mesh_data = rcon.distribute_mesh(mesh)
    else:
        mesh_data = rcon.receive_mesh()

    for order in [3]:
        from pytools import add_python_path_relative_to_script
        add_python_path_relative_to_script("..")

        from gas_dynamics_initials import UniformMachFlow
        box = UniformMachFlow(angle_of_attack=0)

        from grudge.models.gas_dynamics import GasDynamicsOperator
        op = GasDynamicsOperator(dimensions=3,
                gamma=box.gamma, mu=box.mu,
                prandtl=box.prandtl, spec_gas_const=box.spec_gas_const,
                bc_inflow=box, bc_outflow=box, bc_noslip=box,
                inflow_tag="inflow", outflow_tag="outflow", noslip_tag="noslip")

        discr = rcon.make_discretization(mesh_data, order=order,
                        debug=[
                            #"cuda_no_plan",
                            #"cuda_dump_kernels",
                            #"dump_dataflow_graph",
                            #"dump_optemplate_stages",
                            #"dump_dataflow_graph",
                            #"print_op_code",
                            "cuda_no_plan_el_local",
                            ],
                        default_scalar_type=numpy.float32,
                        tune_for=op.sym_operator())

        from grudge.visualization import SiloVisualizer, VtkVisualizer  # noqa
        #vis = VtkVisualizer(discr, rcon, "shearflow-%d" % order)
        vis = SiloVisualizer(discr, rcon)

        fields = box.volume_interpolant(0, discr)

        navierstokes_ex = op.bind(discr)

        max_eigval = [0]

        def rhs(t, q):
            ode_rhs, speed = navierstokes_ex(t, q)
            max_eigval[0] = speed
            return ode_rhs

        rhs(0, fields)

        if rcon.is_head_rank:
            print("---------------------------------------------")
            print("order %d" % order)
            print("---------------------------------------------")
            print("#elements=", len(mesh.elements))

        from grudge.timestep import RK4TimeStepper
        stepper = RK4TimeStepper()

        # diagnostics setup ---------------------------------------------------
        from logpyle import LogManager, add_general_quantities, \
                add_simulation_quantities, add_run_info

        logmgr = LogManager("navierstokes-%d.dat" % order, "w", rcon.communicator)
        add_run_info(logmgr)
        add_general_quantities(logmgr)
        add_simulation_quantities(logmgr)
        discr.add_instrumentation(logmgr)
        stepper.add_instrumentation(logmgr)

        logmgr.add_watches(["step.max", "t_sim.max", "t_step.max"])

        from logpyle import LogQuantity

        class ChangeSinceLastStep(LogQuantity):
            """Records the change of a variable between a time step and the previous
               one"""

            def __init__(self, name="change"):
                LogQuantity.__init__(self, name, "1", "Change since last time step")

                self.old_fields = 0

            def __call__(self):
                result = discr.norm(fields - self.old_fields)
                self.old_fields = fields
                return result

        logmgr.add_quantity(ChangeSinceLastStep())

        # timestep loop -------------------------------------------------------
        try:
            from grudge.timestep import times_and_steps
            step_it = times_and_steps(
                    final_time=200,
                    #max_steps=500,
                    logmgr=logmgr,
                    max_dt_getter=lambda t: op.estimate_timestep(discr,
                        stepper=stepper, t=t, max_eigenvalue=max_eigval[0]))

            for step, t, dt in step_it:
                if step % 200 == 0:
                #if False:
                    visf = vis.make_file("box-%d-%06d" % (order, step))

                    #rhs_fields = rhs(t, fields)

                    vis.add_data(visf,
                            [
                                ("rho", discr.convert_volume(
                                    op.rho(fields), kind="numpy")),
                                ("e", discr.convert_volume(
                                    op.e(fields), kind="numpy")),
                                ("rho_u", discr.convert_volume(
                                    op.rho_u(fields), kind="numpy")),
                                ("u", discr.convert_volume(
                                    op.u(fields), kind="numpy")),

                                # ("rhs_rho", discr.convert_volume(
                                #     op.rho(rhs_fields), kind="numpy")),
                                # ("rhs_e", discr.convert_volume(
                                #     op.e(rhs_fields), kind="numpy")),
                                # ("rhs_rho_u", discr.convert_volume(
                                #     op.rho_u(rhs_fields), kind="numpy")),
                                ],
                            expressions=[
                                ("p", "(0.4)*(e- 0.5*(rho_u*u))"),
                                ],
                            time=t, step=step
                            )
                    visf.close()

                fields = stepper(fields, t, dt, rhs)

        finally:
            vis.close()
            logmgr.save()
            discr.close()