DG Discretizations and related services¶

class hedge.discretization.Discretization¶

Discretization.close()¶

Discretization.add_instrumentation(mgr)¶

Discretization.is_boundary_tag_nonempty(tag)¶

Discretization.all_debug_flags()¶

classmethod Discretization.noninteractive_debug_flags()¶: Return all debug flags that do not entail user interaction (such as key presses or console output).

Vector Kinds¶

When computing on GPU hardware, the Discretization operates on fields that are not represented by numpy arrays. Vector kinds make this explicit. Every discretization is guaranteed to support converting its preferred vector kind, given by Discretization.compute_kind, to the kind “numpy”.

Discretization.compute_kind¶: The array kind that this discretization can evaluate operators on.

Discretization.convert_volume(field, kind)¶

Discretization.convert_boundary(field, tag, kind)¶

Vector Creation¶

Discretization.volume_empty(shape=(), dtype=None, kind=None)¶

Discretization.volume_zeros(shape=(), dtype=None, kind=None)¶

Discretization.interpolate_volume_function(f, dtype=None, kind=None)¶

Discretization.boundary_empty(tag, shape=(), dtype=None, kind=None)¶

Discretization.boundary_zeros(tag, shape=(), dtype=None, kind=None)¶

Discretization.interpolate_boundary_function(f, tag, dtype=None, kind=None)¶

Discretization.boundary_normals(tag, dtype=None, kind=None)¶

Vector Conversion¶

Discretization.volumize_boundary_field(bfield, tag, kind=None)¶

Discretization.boundarize_boundary_field(bfield, tag, kind=None)¶

Vector Reductions¶

Discretization.nodewise_dot_product(a, b)¶

Discretization.mesh_volume()¶

Discretization.integral(volume_vector)¶

Discretization.norm(volume_vector, p=2)¶

Discretization.inner_product(a, b)¶

Miscellanea¶

Discretization.dt_factor(max_system_ev, stepper_class, *stepper_args)¶

Discretization.get_point_evaluator(point)¶

Compilation of operator templates¶

Discretization.compile(optemplate, post_bind_mapper=lambda x: x)¶

Discretization.add_function(name, func)¶

Projection between `Discretization` instances¶

class hedge.discretization.Projector(from_discr, to_discr)¶

__call__(self, from_vec)¶

Filtering¶

class hedge.discretization.ExponentialFilterResponseFunction(min_amplification=0.1, order=6)¶

A typical exponential-falloff mode response filter function.

See description in Section 5.6.1 of Hesthaven/Warburton.

__init__(min_amplification=0.1, order=6)¶

Construct the filter function.

The amplification factor of the lowest-order (constant) mode is always 1.

Parameters:	min_amplification – The amplification factor applied to the highest mode. order – The order of the filter. This controls how fast (or slowly) the min_amplification is reached.

class hedge.discretization.Filter¶

__init__(discr, mode_response_func)¶