def print_error_structure(discr, computed, reference, diff, eventful_only=False, detail=True): norm_ref = la.norm(reference) struc_lines = [] if norm_ref == 0: norm_ref = 1 from hedge.tools import relative_error numpy.set_printoptions(precision=2, linewidth=130, suppress=True) for block in discr.blocks: add_lines = [] struc_line = "%7d " % (block.number * discr.flux_plan.dofs_per_block()) i_el = 0 eventful = False for mb in block.microblocks: for el in mb: s = discr.find_el_range(el.id) relerr = relative_error(la.norm(diff[s]), norm_ref) if relerr > 1e-4: eventful = True struc_line += "*" if detail: print "block %d, el %d, global el #%d, rel.l2err=%g" % ( block.number, i_el, el.id, relerr) print computed[s] print reference[s] print diff[s] print diff[s]/norm_ref print la.norm(diff[s]), norm_ref raw_input() elif numpy.isnan(diff[s]).any(): eventful = True struc_line += "N" add_lines.append(str(diff[s])) if detail: print "block %d, el %d, global el #%d, rel.l2err=%g" % ( block.number, i_el, el.id, relerr) print computed[s] print reference[s] print diff[s] raw_input() else: if numpy.max(numpy.abs(reference[s])) == 0: struc_line += "0" else: if False: print "block %d, el %d, global el #%d, rel.l2err=%g" % ( block.number, i_el, el.id, relerr) print computed[s] print reference[s] print diff[s] raw_input() struc_line += "." i_el += 1 struc_line += " " if (not eventful_only) or eventful: struc_lines.append(struc_line) if detail: struc_lines.extend(add_lines) print print "\n".join(struc_lines)
def rel_l2_error(field, true): from hedge.tools import relative_error return relative_error(discr.norm(field - true), discr.norm(true))
def print_error_structure(discr, computed, reference, diff, eventful_only=False, detail=True): norm_ref = la.norm(reference) struc_lines = [] if norm_ref == 0: norm_ref = 1 from hedge.tools import relative_error numpy.set_printoptions(precision=2, linewidth=130, suppress=True) for block in discr.blocks: add_lines = [] struc_line = "%7d " % (block.number * discr.flux_plan.dofs_per_block()) i_el = 0 eventful = False for mb in block.microblocks: for el in mb: s = discr.find_el_range(el.id) relerr = relative_error(la.norm(diff[s]), norm_ref) if relerr > 1e-4: eventful = True struc_line += "*" if detail: print "block %d, el %d, global el #%d, rel.l2err=%g" % ( block.number, i_el, el.id, relerr) print computed[s] print reference[s] print diff[s] print diff[s] / norm_ref print la.norm(diff[s]), norm_ref raw_input() elif numpy.isnan(diff[s]).any(): eventful = True struc_line += "N" add_lines.append(str(diff[s])) if detail: print "block %d, el %d, global el #%d, rel.l2err=%g" % ( block.number, i_el, el.id, relerr) print computed[s] print reference[s] print diff[s] raw_input() else: if numpy.max(numpy.abs(reference[s])) == 0: struc_line += "0" else: if False: print "block %d, el %d, global el #%d, rel.l2err=%g" % ( block.number, i_el, el.id, relerr) print computed[s] print reference[s] print diff[s] raw_input() struc_line += "." i_el += 1 struc_line += " " if (not eventful_only) or eventful: struc_lines.append(struc_line) if detail: struc_lines.extend(add_lines) print print "\n".join(struc_lines)
def main(write_output=True, allow_features=None): from hedge.timestep import RK4TimeStepper from hedge.mesh import make_ball_mesh, make_cylinder_mesh, make_box_mesh from hedge.visualization import \ VtkVisualizer, \ SiloVisualizer, \ get_rank_partition from math import sqrt, pi from hedge.backends import guess_run_context rcon = guess_run_context(allow_features) epsilon0 = 8.8541878176e-12 # C**2 / (N m**2) mu0 = 4 * pi * 1e-7 # N/A**2. epsilon = 1 * epsilon0 mu = 1 * mu0 dims = 3 if rcon.is_head_rank: if dims == 2: from hedge.mesh import make_rect_mesh mesh = make_rect_mesh(a=(-10.5, -1.5), b=(10.5, 1.5), max_area=0.1) elif dims == 3: from hedge.mesh import make_box_mesh mesh = make_box_mesh(a=(-10.5, -1.5, -1.5), b=(10.5, 1.5, 1.5), max_volume=0.1) if rcon.is_head_rank: mesh_data = rcon.distribute_mesh(mesh) else: mesh_data = rcon.receive_mesh() #for order in [1,2,3,4,5,6]: discr = rcon.make_discretization(mesh_data, order=3) if write_output: vis = VtkVisualizer(discr, rcon, "dipole") from analytic_solutions import DipoleFarField, SphericalFieldAdapter from hedge.data import ITimeDependentGivenFunction sph_dipole = DipoleFarField( q=1, #C d=1 / 39, omega=2 * pi * 1e8, epsilon=epsilon0, mu=mu0, ) cart_dipole = SphericalFieldAdapter(sph_dipole) class PointDipoleSource(ITimeDependentGivenFunction): def __init__(self): from pyrticle.tools import CInfinityShapeFunction sf = CInfinityShapeFunction(0.1 * sph_dipole.wavelength, discr.dimensions) self.num_sf = discr.interpolate_volume_function( lambda x, el: sf(x)) self.vol_0 = discr.volume_zeros() def volume_interpolant(self, t, discr): from hedge.tools import make_obj_array return make_obj_array([ self.vol_0, self.vol_0, sph_dipole.source_modulation(t) * self.num_sf ]) from hedge.mesh import TAG_ALL, TAG_NONE if dims == 2: from hedge.models.em import TMMaxwellOperator as MaxwellOperator else: from hedge.models.em import MaxwellOperator op = MaxwellOperator( epsilon, mu, flux_type=1, pec_tag=TAG_NONE, absorb_tag=TAG_ALL, current=PointDipoleSource(), ) fields = op.assemble_eh(discr=discr) if rcon.is_head_rank: print "#elements=", len(mesh.elements) stepper = RK4TimeStepper() # diagnostics setup --------------------------------------------------- from pytools.log import LogManager, add_general_quantities, \ add_simulation_quantities, add_run_info if write_output: log_file_name = "dipole.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 pytools.log import IntervalTimer vis_timer = IntervalTimer("t_vis", "Time spent visualizing") logmgr.add_quantity(vis_timer) from hedge.log import EMFieldGetter, add_em_quantities field_getter = EMFieldGetter(discr, op, lambda: fields) add_em_quantities(logmgr, op, field_getter) from pytools.log import PushLogQuantity relerr_e_q = PushLogQuantity("relerr_e", "1", "Relative error in masked E-field") relerr_h_q = PushLogQuantity("relerr_h", "1", "Relative error in masked H-field") logmgr.add_quantity(relerr_e_q) logmgr.add_quantity(relerr_h_q) logmgr.add_watches([ "step.max", "t_sim.max", ("W_field", "W_el+W_mag"), "t_step.max", "relerr_e", "relerr_h" ]) if write_output: point_timeseries = [(open("b-x%d-vs-time.dat" % i, "w"), open("b-x%d-vs-time-true.dat" % i, "w"), discr.get_point_evaluator( numpy.array([i, 0, 0][:dims], dtype=discr.default_scalar_type))) for i in range(1, 5)] # timestep loop ------------------------------------------------------- mask = discr.interpolate_volume_function(sph_dipole.far_field_mask) def apply_mask(field): from hedge.tools import log_shape ls = log_shape(field) result = discr.volume_empty(ls) from pytools import indices_in_shape for i in indices_in_shape(ls): result[i] = mask * field[i] return result rhs = op.bind(discr) t = 0 try: from hedge.timestep import times_and_steps step_it = times_and_steps( final_time=1e-8, 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 write_output and step % 10 == 0: sub_timer = vis_timer.start_sub_timer() e, h = op.split_eh(fields) sph_dipole.set_time(t) true_e, true_h = op.split_eh( discr.interpolate_volume_function(cart_dipole)) visf = vis.make_file("dipole-%04d" % step) mask_e = apply_mask(e) mask_h = apply_mask(h) mask_true_e = apply_mask(true_e) mask_true_h = apply_mask(true_h) from pyvisfile.silo import DB_VARTYPE_VECTOR vis.add_data(visf, [("e", e), ("h", h), ("true_e", true_e), ("true_h", true_h), ("mask_e", mask_e), ("mask_h", mask_h), ("mask_true_e", mask_true_e), ("mask_true_h", mask_true_h)], time=t, step=step) visf.close() sub_timer.stop().submit() from hedge.tools import relative_error relerr_e_q.push_value( relative_error(discr.norm(mask_e - mask_true_e), discr.norm(mask_true_e))) relerr_h_q.push_value( relative_error(discr.norm(mask_h - mask_true_h), discr.norm(mask_true_h))) if write_output: for outf_num, outf_true, evaluator in point_timeseries: for outf, ev_h in zip([outf_num, outf_true], [h, true_h]): outf.write("%g\t%g\n" % (t, op.mu * evaluator(ev_h[1]))) outf.flush() fields = stepper(fields, t, dt, rhs) finally: if write_output: vis.close() logmgr.save() discr.close()
def rel_l2_error(field, true): from hedge.tools import relative_error return relative_error( discr.norm(field-true), discr.norm(true))
def main(write_output=True, allow_features=None): from hedge.timestep import RK4TimeStepper from hedge.mesh import make_ball_mesh, make_cylinder_mesh, make_box_mesh from hedge.visualization import \ VtkVisualizer, \ SiloVisualizer, \ get_rank_partition from math import sqrt, pi from hedge.backends import guess_run_context rcon = guess_run_context(allow_features) epsilon0 = 8.8541878176e-12 # C**2 / (N m**2) mu0 = 4*pi*1e-7 # N/A**2. epsilon = 1*epsilon0 mu = 1*mu0 dims = 3 if rcon.is_head_rank: if dims == 2: from hedge.mesh import make_rect_mesh mesh = make_rect_mesh( a=(-10.5,-1.5), b=(10.5,1.5), max_area=0.1 ) elif dims == 3: from hedge.mesh import make_box_mesh mesh = make_box_mesh( a=(-10.5,-1.5,-1.5), b=(10.5,1.5,1.5), max_volume=0.1) if rcon.is_head_rank: mesh_data = rcon.distribute_mesh(mesh) else: mesh_data = rcon.receive_mesh() #for order in [1,2,3,4,5,6]: discr = rcon.make_discretization(mesh_data, order=3) if write_output: vis = VtkVisualizer(discr, rcon, "dipole") from analytic_solutions import DipoleFarField, SphericalFieldAdapter from hedge.data import ITimeDependentGivenFunction sph_dipole = DipoleFarField( q=1, #C d=1/39, omega=2*pi*1e8, epsilon=epsilon0, mu=mu0, ) cart_dipole = SphericalFieldAdapter(sph_dipole) class PointDipoleSource(ITimeDependentGivenFunction): def __init__(self): from pyrticle.tools import CInfinityShapeFunction sf = CInfinityShapeFunction( 0.1*sph_dipole.wavelength, discr.dimensions) self.num_sf = discr.interpolate_volume_function( lambda x, el: sf(x)) self.vol_0 = discr.volume_zeros() def volume_interpolant(self, t, discr): from hedge.tools import make_obj_array return make_obj_array([ self.vol_0, self.vol_0, sph_dipole.source_modulation(t)*self.num_sf ]) from hedge.mesh import TAG_ALL, TAG_NONE if dims == 2: from hedge.models.em import TMMaxwellOperator as MaxwellOperator else: from hedge.models.em import MaxwellOperator op = MaxwellOperator( epsilon, mu, flux_type=1, pec_tag=TAG_NONE, absorb_tag=TAG_ALL, current=PointDipoleSource(), ) fields = op.assemble_eh(discr=discr) if rcon.is_head_rank: print "#elements=", len(mesh.elements) stepper = RK4TimeStepper() # diagnostics setup --------------------------------------------------- from pytools.log import LogManager, add_general_quantities, \ add_simulation_quantities, add_run_info if write_output: log_file_name = "dipole.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 pytools.log import IntervalTimer vis_timer = IntervalTimer("t_vis", "Time spent visualizing") logmgr.add_quantity(vis_timer) from hedge.log import EMFieldGetter, add_em_quantities field_getter = EMFieldGetter(discr, op, lambda: fields) add_em_quantities(logmgr, op, field_getter) from pytools.log import PushLogQuantity relerr_e_q = PushLogQuantity("relerr_e", "1", "Relative error in masked E-field") relerr_h_q = PushLogQuantity("relerr_h", "1", "Relative error in masked H-field") logmgr.add_quantity(relerr_e_q) logmgr.add_quantity(relerr_h_q) logmgr.add_watches(["step.max", "t_sim.max", ("W_field", "W_el+W_mag"), "t_step.max", "relerr_e", "relerr_h"]) if write_output: point_timeseries = [ (open("b-x%d-vs-time.dat" % i, "w"), open("b-x%d-vs-time-true.dat" % i, "w"), discr.get_point_evaluator(numpy.array([i,0,0][:dims], dtype=discr.default_scalar_type))) for i in range(1,5) ] # timestep loop ------------------------------------------------------- mask = discr.interpolate_volume_function(sph_dipole.far_field_mask) def apply_mask(field): from hedge.tools import log_shape ls = log_shape(field) result = discr.volume_empty(ls) from pytools import indices_in_shape for i in indices_in_shape(ls): result[i] = mask * field[i] return result rhs = op.bind(discr) t = 0 try: from hedge.timestep import times_and_steps step_it = times_and_steps( final_time=1e-8, 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 write_output and step % 10 == 0: sub_timer = vis_timer.start_sub_timer() e, h = op.split_eh(fields) sph_dipole.set_time(t) true_e, true_h = op.split_eh( discr.interpolate_volume_function(cart_dipole)) visf = vis.make_file("dipole-%04d" % step) mask_e = apply_mask(e) mask_h = apply_mask(h) mask_true_e = apply_mask(true_e) mask_true_h = apply_mask(true_h) from pyvisfile.silo import DB_VARTYPE_VECTOR vis.add_data(visf, [ ("e", e), ("h", h), ("true_e", true_e), ("true_h", true_h), ("mask_e", mask_e), ("mask_h", mask_h), ("mask_true_e", mask_true_e), ("mask_true_h", mask_true_h)], time=t, step=step) visf.close() sub_timer.stop().submit() from hedge.tools import relative_error relerr_e_q.push_value( relative_error( discr.norm(mask_e-mask_true_e), discr.norm(mask_true_e))) relerr_h_q.push_value( relative_error( discr.norm(mask_h-mask_true_h), discr.norm(mask_true_h))) if write_output: for outf_num, outf_true, evaluator in point_timeseries: for outf, ev_h in zip([outf_num, outf_true], [h, true_h]): outf.write("%g\t%g\n" % (t, op.mu*evaluator(ev_h[1]))) outf.flush() fields = stepper(fields, t, dt, rhs) finally: if write_output: vis.close() logmgr.save() discr.close()