This geometry maps specifically arranged hexahedrons to a sphere. More...
#include <t8_geometry_examples.hxx>
Inheritance diagram for t8_geometry_cubed_sphere:
Public Member Functions | |
| 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 |
| Maps specifically arranged hexahedrons to a sphere. More... | |
| void | t8_geom_evaluate_jacobian (t8_cmesh_t cmesh, t8_gloidx_t gtreeid, const double *ref_coords, const size_t num_coords, double *jacobian) const |
| Compute the jacobian of the t8_geom_evaluate map at a point in the reference space \( [0,1]^\mathrm{dim} \). More... | |
 Public Member Functions inherited from t8_geometry_with_vertices | |
| t8_geometry_with_vertices (int dimension, std::string name) | |
| virtual | ~t8_geometry_with_vertices () |
| The destructor. More... | |
| virtual void | t8_geom_load_tree_data (t8_cmesh_t cmesh, t8_gloidx_t gtreeid) |
| Update a possible internal data buffer for per tree data. More... | |
| virtual bool | t8_geom_tree_negative_volume () const |
| Check if the currently active tree has a negative volume. More... | |
| t8_geometry_type_t | t8_geom_get_type () const |
| Get the type of this geometry. More... | |
| Public Member Functions inherited from t8_geometry | |
| t8_geometry (int dim, std::string name) | |
| virtual | ~t8_geometry () |
| The destructor. More... | |
| virtual void | t8_geom_point_batch_inside_element (t8_forest_t forest, t8_locidx_t ltreeid, const t8_element_t *element, const double *points, const int num_points, int *is_inside, const double tolerance) const |
| Query whether a batch of points lies inside an element. More... | |
| int | t8_geom_get_dimension () const |
| Get the dimension of this geometry. More... | |
| const std::string | t8_geom_get_name () const |
| Get the name of this geometry. More... | |
| const size_t | t8_geom_get_hash () const |
Additional Inherited Members | |
| Protected Attributes inherited from t8_geometry_with_vertices | |
| t8_gloidx_t | active_tree |
| t8_eclass_t | active_tree_class |
| const double * | active_tree_vertices |
| Protected Attributes inherited from t8_geometry | |
| int | dimension |
| The dimension of reference space for which this is a geometry. | |
| std::string | name |
| The name of this geometry. | |
| size_t | hash |
| The hash of the name of this geometry. | |
Detailed Description
This geometry maps specifically arranged hexahedrons to a sphere.
Member Function Documentation
◆ t8_geom_evaluate()
|
virtual |
Maps specifically arranged hexahedrons to a sphere.
- Parameters
-
[in] cmesh The cmesh in which the point lies. [in] gtreeid The global tree (of the cmesh) in which the reference point is. [in] ref_coords Array of dimension x num_coords many entries, specifying a point in /f$ [0,1]^\mathrm{dim} /f$. [in] num_coords The number of points to map. [out] out_coords The mapped coordinates in physical space of ref_coords. The length is num_coords * 3.
This routine expects an input mesh of prism arranged as octahedron or similar.
Implements t8_geometry.
◆ t8_geom_evaluate_jacobian()
|
inlinevirtual |
Compute the jacobian of the t8_geom_evaluate map at a point in the reference space \( [0,1]^\mathrm{dim} \).
- Parameters
-
[in] cmesh The cmesh in which the point lies. [in] glreeid The global tree (of the cmesh) in which the reference point is. [in] ref_coords Array of dimension x num_coords many entries, specifying points in \( [0,1]^\mathrm{dim} \). [in] num_coords Amount of points of /f$ \mathrm{dim} /f$ to map. [out] jacobian The jacobian at ref_coords. Array of size num_coords x dimension x 3. Indices \( 3 \cdot i\) , \( 3 \cdot i+1 \) , \( 3 \cdot i+2 \) correspond to the \( i \)-th column of the jacobian (Entry \( 3 \cdot i + j \) is \( \frac{\partial f_j}{\partial x_i} \)).
Implements t8_geometry.
The documentation for this struct was generated from the following files:
- src/t8_geometry/t8_geometry_implementations/t8_geometry_examples.hxx
- src/t8_geometry/t8_geometry_implementations/t8_geometry_examples.cxx