This class implements the blending based volume mapping The blending mapping formulation is coded according to the Dey1997 paper Geometric Representation Issues of p-Version FE Computations [2]. The order of the linear blending functions and symbol for face/edges are named according Equation (30) of that paper. More...
#include <CrvTetBlending.h>
Public Member Functions | |
| CrvTetBlending (VtxPtrVec in_vert_vec) | |
| the only supported ctor | |
 Public Member Functions inherited from CrvTet | |
| CrvTet (VtxPtrVec in_vert_vec) | |
| ctor with ordered vertices as input | |
| CrvTet (pMeshEnt in_tet) | |
| ctor with a topo mesh entity as input | |
| virtual | ~CrvTet () |
| dtor | |
| void | deriv1_fd (const Point3d in_xi, Mat3x3 &dxyz_dxi, double step=1.0e-3) |
| Evaluate first derivative numerically by finite difference. | |
| void | deriv1_by_eta_fd (const Point3d in_eta, Mat3x3 &dxyz_deta, double step=1.0e-3) |
| Evaluate first derivative w.r.t. standard cartesian coordinates numerically by finite difference. | |
| void | dxi_deta (const Point3d in_eta, Mat3x3 &out_dxi_deta) |
| evaluate first derivative of coord transformation More... | |
| virtual int | v_ent_type () const |
| virtual int | v_data_size () const |
| virtual std::string | v_tag_name () const |
| double | RadiusRatio () |
| get the Radius Ratio | |
| double | AspectRatio () |
| get the Aspect Ratio | |
| double | JacRatio () |
| get the Jacobian Ratio | |
| Public Member Functions inherited from CrvEnt | |
| CrvEnt (pMeshEnt in_mesh_ent) | |
| ctor More... | |
| CrvEnt (VtxPtrVec in_vert_vec) | |
| ctor More... | |
| virtual | ~CrvEnt () |
| dtor | |
| void | get_xi_by_eta (Point3d in_eta, Point3d &out_xi) |
| evaluate barycentric coordinates given the standard coordinates More... | |
| void | get_eta_by_ceta (Point3d in_ceta, Point3d &out_eta) |
| evaluate standard coordinates given the collapsed/tensor coordinates More... | |
| void | get_xi_by_ceta (Point3d in_ceta, Point3d &out_xi) |
| evaluate barycentric coordinates given the collapsed/tensor coordinates More... | |
| void | eval_by_xi (Point3d in, Point3d &out) |
| evaluate xyz by barycentric coordinates More... | |
| void | eval_by_eta (Point3d in, Point3d &out) |
| evaluate xyz by standard cartesian coordinates More... | |
| void | eval_by_coll_eta (Point3d in, Point3d &out) |
| evaluate xyz by collapsed/tensor coordinates More... | |
| void | diff_by_xi (Point3d in, Mat3x3 &out) |
| evaluate dxyz/dxi, return all derivs in a matrix form More... | |
| void | diff_by_xi (Point3d in, int j, Point3d &out) |
| evaluate dxyz/dxi_j, return derivs in one direction More... | |
| void | diff_by_eta (Point3d in, Mat3x3 &out) |
| evaluate derivatives w.r.t. standard cartesian coordinates More... | |
| void | diff_by_eta (Point3d in, int j, Point3d &out) |
| evaluate derivatives w.r.t. standard cartesian coordinates in one direction More... | |
| void | set_id (int i) |
| sets entity id | |
| int | get_id () |
| gets entity id | |
| int | get_exp_dim () |
| return dimension in xi or eta | |
| int | get_coord_dim () |
| return coordinate dimension in xyz | |
| pMeshEnt | get_vertex (int i) |
| return the ith bounding vertex of the mesh entity More... | |
| int | ent_type () |
| return the topological entity type. 0 – vertex, 1 – edge, 2 – face, 3 – region | |
| int | data_size () |
| return the number of doubles associated with the current mesh entity | |
| std::string | tag_name () |
| return the name string of the data | |
| int | save_nodal_data_to_mesh (double *in_data) |
| save the data to the underlying mesh database | |
| int | load_nodal_data_from_mesh (double **out_data) |
| fetch data from mesh database | |
| bool | has_data () |
| return whether the entity has high-order shape data | |
| bool | edge_on_model_bdry (pMeshEnt vtx0, pMeshEnt vtx1) |
| return whether the mesh edge is classified on model edge or face | |
| bool | face_on_model_bdry (pMeshEnt vtx0, pMeshEnt vtx1, pMeshEnt vtx2) |
| return whether the mesh face is classified on model face | |
Private Member Functions | |
| virtual int | v_eval (Point3d in_xi, Point3d &out_pos) |
| shape handle for the 4 faces | |
| virtual int | v_eval_deriv1 (Point3d in_xi, Mat3x3 &out_jac) |
| the most up-do-date impl of derivatives eval based on blending | |
| virtual int | v_eval_deriv1_old (Point3d in_xi, Mat3x3 &out_jac) |
| evaluate first derivative – set to retire | |
| void | setup_edges () |
| set up internal edge storage and create Parametric Curve objects | |
| void | setup_faces () |
| set up internal face storage and create Parametric Tri objects | |
| void | face_blending_eval (int index, double in_xi_1, double in_xi_2, double in_xi_3, double &out_fb) |
| blending functions w.r.t. the 4 faces | |
| void | face_blending_eval_deriv1 (int index, double in_xi_1, double in_xi_2, double in_xi_3, Point3d &dfb_dxi) |
| void | projected_face_coords (int face_index, double in_xi1, double in_xi2, double in_xi3, Point2d &out_xip) |
| void | projected_face_coords_deriv1 (int face_index, double in_xi1, double in_xi2, double in_xi3, Point3d &dxip1_dxi, Point3d &dxip2_dxi) |
| void | edge_blending_eval (int index, double in_xi_1, double in_xi_2, double in_xi_3, double &out_eb) |
| blending functions w.r.t. the 6 edges | |
| void | edge_blending_eval_deriv1 (int index, double in_xi_1, double in_xi_2, double in_xi_3, Point3d &deb_dxi) |
| void | projected_edge_coords (int edge_index, double in_xi1, double in_xi2, double in_xi3, Point1d &out_xip) |
| void | projected_edge_coords_deriv1 (int edge_index, double in_xi1, double in_xi2, double in_xi3, Point3d &dxip1_dxi) |
| |
Private Attributes | |
| CrvEdgePtrVec | m_crv_edges |
| container of a ordered list of mesh edges | |
| CrvFacePtrVec | m_crv_faces |
| container of a ordered list of mesh faces | |
Additional Inherited Members | |
| Protected Member Functions inherited from CrvTet | |
| void | setup_vertices () |
| set up internal vertex storage | |
| virtual void | v_eval_by_xi (Point3d in, Point3d &out) |
| evaluate mapping with respect to volume/barycentric coordinate system | |
| virtual void | v_eval_by_eta (Point3d in, Point3d &out) |
| virtual void | v_eval_by_coll_eta (Point3d in, Point3d &out) |
| evaluate mapping w.r.t. the collapsed cartesian coordinates | |
| virtual void | v_diff_by_xi (Point3d in, Mat3x3 &out) |
evaluate Jacobian of the mapping w.r.t. volume coordinate system 
| |
| virtual void | v_diff_by_xi (Point3d in, int j, Point3d &out) |
| virtual void | v_diff_by_eta (Point3d in, Mat3x3 &out) |
| virtual void | v_diff_by_eta (Point3d in, int j, Point3d &out) |
| virtual int | v_get_exp_dim () |
| expansion dimension for curved tet is set to be 3 | |
| Protected Member Functions inherited from CrvEnt | |
| virtual int | v_get_coord_dim () |
| all curved entities are assumed to be embeded in 3D space | |
| pMeshEnt | get_mesh_ent () |
| get the mesh entity | |
| void | set_mesh_ent (pMeshEnt in_ent) |
| set the mesh entity | |
| Protected Attributes inherited from CrvTet | |
| EdgePtrVec | m_edges |
| a vector of edges bounding the tet, ordered by its vertices | |
| FacePtrVec | m_faces |
| a vector of faces bounding the tet, ordered by its vertices | |
| Protected Attributes inherited from CrvEnt | |
| VtxPtrVec | m_vert_vec |
| ordered set of mesh vertices | |
| pMeshEnt | m_mesh_ent |
| topological mesh entity | |
| std::vector< Point3d > | m_ctrl_pt_vec |
| container used to store the control point values | |
This class implements the blending based volume mapping The blending mapping formulation is coded according to the Dey1997 paper Geometric Representation Issues of p-Version FE Computations [2]. The order of the linear blending functions and symbol for face/edges are named according Equation (30) of that paper.
1.8.9.1
