sfepy.discrete.common.mappings module

Reference-physical domain mappings.

class sfepy.discrete.common.mappings.Mapping(**kwargs)[source]

Base class for mappings.

static from_args(region, kind='v')[source]

Create mapping from reference to physical entities in a given region, given the integration kind (‘v’ or ‘s’).

This mapping can be used to compute the physical quadrature points.

Parameters
regionRegion instance

The region defining the entities.

kind‘v’ or ‘s’

The kind of the entities: ‘v’ - cells, ‘s’ - facets.

Returns
mappingVolumeMapping or SurfaceMapping instance

The requested mapping.

class sfepy.discrete.common.mappings.PhysicalQPs(num=0)[source]

Physical quadrature points in a region.

get_shape(rshape)[source]

Get shape from raveled shape.

sfepy.discrete.common.mappings.get_jacobian(field, integral, region=None, integration='volume')[source]

Get the jacobian of reference mapping corresponding to field.

Parameters
fieldField instance

The field defining the reference mapping.

integralIntegral instance

The integral defining quadrature points.

regionRegion instance, optional

If given, use the given region instead of field region.

integrationone of (‘volume’, ‘surface’, ‘surface_extra’)

The integration type.

Returns
jacarray

The jacobian merged for all element groups.

See also

get_mapping_data

Notes

Assumes the same element geometry in all element groups of the field!

sfepy.discrete.common.mappings.get_mapping_data(name, field, integral, region=None, integration='volume')[source]

General helper function for accessing reference mapping data.

Get data attribute name from reference mapping corresponding to field in region in quadrature points of the given integral and integration type.

Parameters
namestr

The reference mapping attribute name.

fieldField instance

The field defining the reference mapping.

integralIntegral instance

The integral defining quadrature points.

regionRegion instance, optional

If given, use the given region instead of field region.

integrationone of (‘volume’, ‘surface’, ‘surface_extra’)

The integration type.

Returns
dataarray

The required data merged for all element groups.

Notes

Assumes the same element geometry in all element groups of the field!

sfepy.discrete.common.mappings.get_normals(field, integral, region)[source]

Get the normals of element faces in region.

Parameters
fieldField instance

The field defining the reference mapping.

integralIntegral instance

The integral defining quadrature points.

regionRegion instance

The given of the element faces.

Returns
normalsarray

The normals merged for all element groups.

See also

get_mapping_data

Notes

Assumes the same element geometry in all element groups of the field!

sfepy.discrete.common.mappings.get_physical_qps(region, integral, map_kind=None)[source]

Get physical quadrature points corresponding to the given region and integral.