Struct t8_geometry_quadrangulated_disk

Inheritance Relationships

Base Type

Struct Documentation

struct t8_geometry_quadrangulated_disk : public t8_geometry_with_vertices

This geometry maps five quads to a disk.

Public Functions

inline t8_geometry_quadrangulated_disk()
virtual void t8_geom_evaluate(t8_cmesh_t cmesh, t8_gloidx_t gtreeid, const double *ref_coords, const size_t num_coords, double *out_coords) const

Map five quads to a disk.

This routine expects an input mesh of 4 * 3 squares looking like this. Note, only the upper right quadrant is shown for the sake of clarity. 

 ------+
 |_1__/|
 | 0 |2|
 |___|_|

The central quad (id = 0) is mapped as is, while the outer edges of other four quads are stretched onto a circle with a radius determined by the outer corner (denoted by “+”) in the schematic above.

Parameters:

  • cmesh – [in] The cmesh in which the point lies.

  • gtreeid – [in] The global tree (of the cmesh) in which the reference point is.

  • ref_coords – [in] Array of tree dimension x num_coords many entries, specifying a point in \( [0,1]^\mathrm{dim} \).

  • num_coords – [in] The number of points to map.

  • out_coords – [out] The mapped coordinates in physical space of ref_coords. The length is num_coords * 3.

inline void t8_geom_evaluate_jacobian([[maybe_unused]] t8_cmesh_t cmesh, [[maybe_unused]] t8_gloidx_t gtreeid, [[maybe_unused]] const double *ref_coords, [[maybe_unused]] const size_t num_coords, [[maybe_unused]] double *jacobian) const

Jacobian, not implemented.

Parameters:

  • cmesh – [in] The cmesh in which the point lies.

  • gtreeid – [in] The global tree (of the cmesh) in which the reference point is.

  • ref_coords – [in] Array of tree dimension x num_coords many entries, specifying a point in \( [0,1]^\mathrm{dim} \).

  • num_coords – [in] The number of points to map.

  • jacobian – [in] The Jacobian matrix to be filled.

inline virtual t8_geometry_type_t t8_geom_get_type() const

Get the type of this geometry.

Returns:

The type.

inline virtual bool t8_geom_check_tree_compatibility() const

Check for compatibility of the currently loaded tree with the geometry.

Only quad elements are supported by this geometry.

Returns:

True if the geometry is compatible with the tree.