feec.polar.examples.polar_model_2d#

Module providing a base class for analytical models on mapped 2D polar domains.

This is subclassed in the 2D Poisson and Maxwell examples.

Classes#

PolarModel2D(domain_log, analytical_mapping)

Base class for analytical models on mapped 2D polar domains.

Module providing a base class for analytical models on mapped 2D polar domains.

This is subclassed in the 2D Poisson and Maxwell examples.

class PolarModel2D(domain_log, analytical_mapping)[source]#

Bases: object

Base class for analytical models on mapped 2D polar domains.

Parameters:

domain_logsympde.topology.Domain: Logical domain on which the analytical mapping is defined.
analytical_mappingsympde.topology.mapping.Mapping: Analytical mapping from the logical domain to the physical domain.

Attributes:

logical_boundstuple[tuple[float, …], …]: Bounds of the logical domain.
mappingMapping or BasicCallableMapping (from sympde.topology.mapping): Mapping used by the solver. It is either the analytical mapping or its spline approximation. Initialized by calling build_geometry.
analytical_mappingsympde.topology.mapping.Mapping: Original analytical mapping from the logical to the physical domain.
domainsympde.topology.Domain: Physical domain associated with mapping. Initialized by calling build_geometry.
domain_logsympde.topology.Domain: Logical domain.
geometry_export_timefloat: Time spent exporting the discrete geometry, in seconds. It is zero when the analytical mapping is used directly.

build_geometry(ncells, degree, periodic, mpi_comm, use_spline_mapping, filename='geo.h5', verbose=False)[source]#

Build the physical domain and the mapping used by the solver.

Parameters:

ncellssequence of int: Number of cells in each logical coordinate direction.
degreesequence of int: Polynomial degree of the spline space in each logical coordinate direction.
periodicsequence of bool: Periodicity of the spline space in each logical coordinate direction.
mpi_commmpi4py.MPI.Comm: MPI communicator used to construct and export the discrete geometry.
use_spline_mappingbool: If True, approximate the analytical mapping by a spline mapping. If False, use the analytical mapping directly.
filenamestr, default=”geo.h5”: Name of the HDF5 file used to export the spline geometry.
verbosebool, default=False: If True, print additional information when checking the regularity of the spline mapping in serial.