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#include <refineable_discontinuous_galerkin_equal_order_pressure_spacetime_navier_stokes_elements.h>
Inheritance diagram for oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >:Public Member Functions | |
| RefineableQTaylorHoodSpaceTimeElement () | |
| Constructor. More... | |
| unsigned | required_nvalue (const unsigned &n) const |
| unsigned | ncont_interpolated_values () const |
| Number of continuously interpolated values. More... | |
| void | rebuild_from_sons (Mesh *&mesh_pt) |
| Rebuild from sons: empty. More... | |
| unsigned | nrecovery_order () |
| unsigned | nvertex_node () const |
| Number of vertex nodes in the element. More... | |
| Node * | vertex_node_pt (const unsigned &j) const |
| Pointer to the j-th vertex node in the element. More... | |
| void | get_interpolated_values (const Vector< double > &s, Vector< double > &values) |
| void | get_interpolated_values (const unsigned &t, const Vector< double > &s, Vector< double > &values) |
| void | further_setup_hanging_nodes () |
| Node * | pressure_node_pt (const unsigned &n_p) |
| Pointer to n_p-th pressure node. More... | |
| Node * | interpolating_node_pt (const unsigned &n, const int &value_id) |
| double | local_one_d_fraction_of_interpolating_node (const unsigned &n_1d, const unsigned &i, const int &value_id) |
| Node * | get_interpolating_node_at_local_coordinate (const Vector< double > &s, const int &value_id) |
| unsigned | ninterpolating_node_1d (const int &value_id) |
| unsigned | ninterpolating_node (const int &value_id) |
| void | interpolating_basis (const Vector< double > &s, Shape &psi, const int &value_id) const |
| void | build_fp_press_adv_diff_robin_bc_element (const unsigned &face_index) |
| void | identify_load_data (std::set< std::pair< Data *, unsigned >> &paired_load_data) |
| RefineableQTaylorHoodSpaceTimeElement () | |
| Constructor. More... | |
| unsigned | required_nvalue (const unsigned &n) const |
| unsigned | ncont_interpolated_values () const |
| Number of continuously interpolated values. More... | |
| void | rebuild_from_sons (Mesh *&mesh_pt) |
| Rebuild from sons: empty. More... | |
| unsigned | nrecovery_order () |
| unsigned | nvertex_node () const |
| Number of vertex nodes in the element. More... | |
| Node * | vertex_node_pt (const unsigned &j) const |
| Pointer to the j-th vertex node in the element. More... | |
| void | get_interpolated_values (const Vector< double > &s, Vector< double > &values) |
| void | get_interpolated_values (const unsigned &t, const Vector< double > &s, Vector< double > &values) |
| void | further_setup_hanging_nodes () |
| Node * | pressure_node_pt (const unsigned &n_p) |
| Pointer to n_p-th pressure node. More... | |
| Node * | interpolating_node_pt (const unsigned &n, const int &value_id) |
| double | local_one_d_fraction_of_interpolating_node (const unsigned &n_1d, const unsigned &i, const int &value_id) |
| Node * | get_interpolating_node_at_local_coordinate (const Vector< double > &s, const int &value_id) |
| unsigned | ninterpolating_node_1d (const int &value_id) |
| unsigned | ninterpolating_node (const int &value_id) |
| void | interpolating_basis (const Vector< double > &s, Shape &psi, const int &value_id) const |
| void | build_fp_press_adv_diff_robin_bc_element (const unsigned &face_index) |
| void | identify_load_data (std::set< std::pair< Data *, unsigned >> &paired_load_data) |
| RefineableQTaylorHoodSpaceTimeElement () | |
| Constructor. More... | |
| unsigned | required_nvalue (const unsigned &n) const |
| unsigned | ncont_interpolated_values () const |
| Number of continuously interpolated values. More... | |
| void | rebuild_from_sons (Mesh *&mesh_pt) |
| Rebuild from sons: empty. More... | |
| unsigned | nrecovery_order () |
| unsigned | nvertex_node () const |
| Number of vertex nodes in the element. More... | |
| Node * | vertex_node_pt (const unsigned &j) const |
| Pointer to the j-th vertex node in the element. More... | |
| void | get_interpolated_values (const Vector< double > &s, Vector< double > &values) |
| void | get_interpolated_values (const unsigned &t, const Vector< double > &s, Vector< double > &values) |
| void | further_setup_hanging_nodes () |
| Node * | pressure_node_pt (const unsigned &n_p) |
| Pointer to n_p-th pressure node. More... | |
| Node * | interpolating_node_pt (const unsigned &n, const int &value_id) |
| double | local_one_d_fraction_of_interpolating_node (const unsigned &n_1d, const unsigned &i, const int &value_id) |
| Node * | get_interpolating_node_at_local_coordinate (const Vector< double > &s, const int &value_id) |
| unsigned | ninterpolating_node_1d (const int &value_id) |
| unsigned | ninterpolating_node (const int &value_id) |
| void | interpolating_basis (const Vector< double > &s, Shape &psi, const int &value_id) const |
| void | build_fp_press_adv_diff_robin_bc_element (const unsigned &face_index) |
| void | identify_load_data (std::set< std::pair< Data *, unsigned >> &paired_load_data) |
| Public Member Functions inherited from oomph::QTaylorHoodSpaceTimeElement< DIM > | |
| QTaylorHoodSpaceTimeElement () | |
| Constructor, no internal data points. More... | |
| void | pshape_nst (const Vector< double > &s, Shape &psi) const |
| Pressure shape functions at local coordinate s. More... | |
| void | ptest_nst (const Vector< double > &s, Shape &psi) const |
| Pressure test functions at local coordinate s. More... | |
| void | pshape_nst (const Vector< double > &s, Shape &psi, Shape &test) const |
| Pressure shape and test functions at local coordinte s. More... | |
| virtual int | p_nodal_index_nst () const |
| Set the value at which the pressure is stored in the nodes. More... | |
| int | p_local_eqn (const unsigned &n) const |
| Return the local equation numbers for the pressure values. More... | |
| double | p_nst (const unsigned &n_p) const |
| double | p_nst (const unsigned &t, const unsigned &n_p) const |
| unsigned | npres_nst () const |
| Return number of pressure values. More... | |
| void | fix_pressure (const unsigned &p_dof, const double &p_value) |
| Pin p_dof-th pressure dof and set it to value specified by p_value. More... | |
| void | identify_pressure_data (std::set< std::pair< Data *, unsigned >> &paired_pressure_data) |
| void | output (std::ostream &outfile) |
| Redirect output to NavierStokesEquations output. More... | |
| void | output (std::ostream &outfile, const unsigned &nplot) |
| Redirect output to NavierStokesEquations output. More... | |
| void | output (FILE *file_pt) |
| Redirect output to NavierStokesEquations output. More... | |
| void | output (FILE *file_pt, const unsigned &nplot) |
| Redirect output to NavierStokesEquations output. More... | |
| unsigned | ndof_types () const |
| void | get_dof_numbers_for_unknowns (std::list< std::pair< unsigned long, unsigned >> &dof_lookup_list) const |
| QTaylorHoodSpaceTimeElement () | |
| Constructor, no internal data points. More... | |
| ~QTaylorHoodSpaceTimeElement () | |
| void | pshape_nst (const Vector< double > &s, Shape &psi) const |
| Pressure shape functions at local coordinate s. More... | |
| void | ptest_nst (const Vector< double > &s, Shape &psi) const |
| Pressure test functions at local coordinate s. More... | |
| void | pshape_nst (const Vector< double > &s, Shape &psi, Shape &test) const |
| Pressure shape and test functions at local coordinte s. More... | |
| virtual int | p_nodal_index_nst () const |
| Set the value at which the pressure is stored in the nodes. More... | |
| int | p_local_eqn (const unsigned &n) const |
| Return the local equation numbers for the pressure values. More... | |
| double | p_nst (const unsigned &n_p) const |
| double | p_nst (const unsigned &t, const unsigned &n_p) const |
| unsigned | npres_nst () const |
| Return number of pressure values. More... | |
| void | fix_pressure (const unsigned &p_dof, const double &p_value) |
| Pin p_dof-th pressure dof and set it to value specified by p_value. More... | |
| void | identify_pressure_data (std::set< std::pair< Data *, unsigned >> &paired_pressure_data) |
| void | output (std::ostream &outfile) |
| Redirect output to NavierStokesEquations output. More... | |
| void | output (std::ostream &outfile, const unsigned &nplot) |
| Redirect output to NavierStokesEquations output. More... | |
| void | output (FILE *file_pt) |
| Redirect output to NavierStokesEquations output. More... | |
| void | output (FILE *file_pt, const unsigned &nplot) |
| Redirect output to NavierStokesEquations output. More... | |
| QTaylorHoodSpaceTimeElement () | |
| Constructor, no internal data points. More... | |
| void | pshape_nst (const Vector< double > &s, Shape &psi) const |
| Pressure shape functions at local coordinate s. More... | |
| void | pshape_nst (const Vector< double > &s, Shape &psi, Shape &test) const |
| Pressure shape and test functions at local coordinte s. More... | |
| virtual int | p_nodal_index_nst () const |
| Set the value at which the pressure is stored in the nodes. More... | |
| int | p_local_eqn (const unsigned &n) const |
| Return the local equation numbers for the pressure values. More... | |
| double | p_nst (const unsigned &n_p) const |
| double | p_nst (const unsigned &t, const unsigned &n_p) const |
| unsigned | npres_nst () const |
| Return number of pressure values. More... | |
| void | fix_pressure (const unsigned &p_dof, const double &p_value) |
| Pin p_dof-th pressure dof and set it to value specified by p_value. More... | |
| void | build_fp_press_adv_diff_robin_bc_element (const unsigned &face_index) |
| void | identify_load_data (std::set< std::pair< Data *, unsigned >> &paired_load_data) |
| void | identify_pressure_data (std::set< std::pair< Data *, unsigned >> &paired_pressure_data) |
| void | output (std::ostream &outfile) |
| Redirect output to NavierStokesEquations output. More... | |
| void | output (std::ostream &outfile, const unsigned &nplot) |
| Redirect output to NavierStokesEquations output. More... | |
| void | output (FILE *file_pt) |
| Redirect output to NavierStokesEquations output. More... | |
| void | output (FILE *file_pt, const unsigned &nplot) |
| Redirect output to NavierStokesEquations output. More... | |
| void | pshape_nst (const Vector< double > &s, Shape &psi) const |
| 2D (in space): Pressure shape functions More... | |
| void | ptest_nst (const Vector< double > &s, Shape &test) const |
| 2D (in space): Pressure shape functions More... | |
| void | pshape_nst (const Vector< double > &s, Shape &psi) const |
| 2D (in space): Pressure shape functions More... | |
| void | ptest_nst (const Vector< double > &s, Shape &test) const |
| 2D (in space): Pressure shape functions More... | |
| void | pshape_nst (const Vector< double > &s, Shape &psi) const |
| Public Member Functions inherited from oomph::SpaceTimeNavierStokesEquations< DIM > | |
| SpaceTimeNavierStokesEquations () | |
| void | store_strouhal_as_external_data (Data *strouhal_data_pt) |
| Function that tells us whether the period is stored as external data. More... | |
| const double & | re () const |
| Reynolds number. More... | |
| double *& | re_pt () |
| Pointer to Reynolds number. More... | |
| bool | is_strouhal_stored_as_external_data () const |
| Are we storing the Strouhal number as external data? More... | |
| const double & | st () const |
| Strouhal parameter (const. version) More... | |
| double * | st_pt () const |
| Pointer to Strouhal parameter (const. version) More... | |
| double *& | st_pt () |
| Pointer to Strouhal number (can only assign to private member data) More... | |
| double | re_st () const |
| Product of Reynolds and Strouhal number (=Womersley number) More... | |
| const double & | viscosity_ratio () const |
| double *& | viscosity_ratio_pt () |
| Pointer to Viscosity Ratio. More... | |
| const double & | density_ratio () const |
| double *& | density_ratio_pt () |
| Pointer to Density ratio. More... | |
| const double & | re_invfr () const |
| Global inverse Froude number. More... | |
| double *& | re_invfr_pt () |
| Pointer to global inverse Froude number. More... | |
| const Vector< double > & | g () const |
| Vector of gravitational components. More... | |
| Vector< double > *& | g_pt () |
| Pointer to Vector of gravitational components. More... | |
| NavierStokesBodyForceFctPt & | body_force_fct_pt () |
| Access function for the body-force pointer. More... | |
| NavierStokesBodyForceFctPt | body_force_fct_pt () const |
| Access function for the body-force pointer. Const version. More... | |
| NavierStokesSourceFctPt & | source_fct_pt () |
| Access function for the source-function pointer. More... | |
| NavierStokesSourceFctPt | source_fct_pt () const |
| Access function for the source-function pointer. Const version. More... | |
| NavierStokesPressureAdvDiffSourceFctPt & | source_fct_for_pressure_adv_diff () |
| NavierStokesPressureAdvDiffSourceFctPt | source_fct_for_pressure_adv_diff () const |
| int & | pinned_fp_pressure_eqn () |
| double | u_nst (const unsigned &n, const unsigned &i) const |
| double | u_nst (const unsigned &t, const unsigned &n, const unsigned &i) const |
| virtual unsigned | u_index_nst (const unsigned &i) const |
| unsigned | n_u_nst () const |
| double | get_du_dt (const unsigned &n, const unsigned &i) const |
| double | du_dt_nst (const unsigned &n, const unsigned &i) const |
| double | interpolated_du_dt_nst (const Vector< double > &s, const unsigned &i) const |
| void | disable_ALE () |
| void | enable_ALE () |
| double | pressure_integral () const |
| Integral of pressure over element. More... | |
| double | dissipation () const |
| Return integral of dissipation over element. More... | |
| double | dissipation (const Vector< double > &s) const |
| Return dissipation at local coordinate s. More... | |
| void | get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const |
| Compute the vorticity vector at local coordinate s. More... | |
| void | get_vorticity (const Vector< double > &s, double &vorticity) const |
| Compute the vorticity vector at local coordinate s. More... | |
| double | kin_energy () const |
| Get integral of kinetic energy over element. More... | |
| double | d_kin_energy_dt () const |
| Get integral of time derivative of kinetic energy over element. More... | |
| void | strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const |
| Strain-rate tensor: 1/2 (du_i/dx_j+du_j/dx_i) More... | |
| void | get_traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction) |
| void | get_traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction_p, Vector< double > &traction_visc_n, Vector< double > &traction_visc_t) |
| void | get_load (const Vector< double > &s, const Vector< double > &N, Vector< double > &load) |
| unsigned | nscalar_paraview () const |
| void | scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) const |
| void | scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const |
| std::string | scalar_name_paraview (const unsigned &i) const |
| void | full_output (std::ostream &outfile) |
| void | full_output (std::ostream &outfile, const unsigned &n_plot) |
| void | output_veloc (std::ostream &outfile, const unsigned &nplot, const unsigned &t) |
| void | output_vorticity (std::ostream &outfile, const unsigned &nplot) |
| void | output_fct (std::ostream &outfile, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) |
| void | output_fct (std::ostream &outfile, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) |
| void | compute_norm (Vector< double > &norm) |
| Compute the vector norm of the FEM solution. More... | |
| void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm) |
| void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm) |
| void | compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm) |
| void | compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm) |
| void | compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm) |
| void | fill_in_contribution_to_residuals (Vector< double > &residuals) |
| Compute the element's residual Vector. More... | |
| void | fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| void | fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix) |
| void | fill_in_contribution_to_dresiduals_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam) |
| void | fill_in_contribution_to_djacobian_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam) |
| void | fill_in_contribution_to_djacobian_and_dmass_matrix_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam) |
| void | fill_in_pressure_advection_diffusion_residuals (Vector< double > &residuals) |
| void | fill_in_pressure_advection_diffusion_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| void | pin_all_non_pressure_dofs (std::map< Data *, std::vector< int >> &eqn_number_backup) |
| Pin all non-pressure dofs and backup eqn numbers. More... | |
| void | output_pressure_advection_diffusion_robin_elements (std::ostream &outfile) |
| void | delete_pressure_advection_diffusion_robin_elements () |
| void | interpolated_u_nst (const Vector< double > &s, Vector< double > &velocity) const |
| Compute vector of FE interpolated velocity u at local coordinate s. More... | |
| double | interpolated_u_nst (const Vector< double > &s, const unsigned &i) const |
| Return FE interpolated velocity u[i] at local coordinate s. More... | |
| double | interpolated_u_nst (const unsigned &t, const Vector< double > &s, const unsigned &i) const |
| virtual double | interpolated_p_nst (const Vector< double > &s) const |
| Return FE interpolated pressure at local coordinate s. More... | |
| double | interpolated_p_nst (const unsigned &t, const Vector< double > &s) const |
| Return FE interpolated pressure at local coordinate s at time level t. More... | |
| void | point_output_data (const Vector< double > &s, Vector< double > &data) |
| SpaceTimeNavierStokesEquations () | |
| void | store_strouhal_as_external_data (Data *strouhal_data_pt) |
| Function that tells us whether the period is stored as external data. More... | |
| const double & | re () const |
| Reynolds number. More... | |
| double *& | re_pt () |
| Pointer to Reynolds number. More... | |
| bool | is_strouhal_stored_as_external_data () const |
| Are we storing the Strouhal number as external data? More... | |
| const double & | st () const |
| Strouhal parameter (const. version) More... | |
| double * | st_pt () const |
| Pointer to Strouhal parameter (const. version) More... | |
| double *& | st_pt () |
| Pointer to Strouhal number (can only assign to private member data) More... | |
| double | re_st () const |
| Product of Reynolds and Strouhal number (=Womersley number) More... | |
| const double & | viscosity_ratio () const |
| double *& | viscosity_ratio_pt () |
| Pointer to Viscosity Ratio. More... | |
| const double & | density_ratio () const |
| double *& | density_ratio_pt () |
| Pointer to Density ratio. More... | |
| const double & | re_invfr () const |
| Global inverse Froude number. More... | |
| double *& | re_invfr_pt () |
| Pointer to global inverse Froude number. More... | |
| const Vector< double > & | g () const |
| Vector of gravitational components. More... | |
| Vector< double > *& | g_pt () |
| Pointer to Vector of gravitational components. More... | |
| NavierStokesBodyForceFctPt & | body_force_fct_pt () |
| Access function for the body-force pointer. More... | |
| NavierStokesBodyForceFctPt | body_force_fct_pt () const |
| Access function for the body-force pointer. Const version. More... | |
| NavierStokesSourceFctPt & | source_fct_pt () |
| Access function for the source-function pointer. More... | |
| NavierStokesSourceFctPt | source_fct_pt () const |
| Access function for the source-function pointer. Const version. More... | |
| NavierStokesPressureAdvDiffSourceFctPt & | source_fct_for_pressure_adv_diff () |
| NavierStokesPressureAdvDiffSourceFctPt | source_fct_for_pressure_adv_diff () const |
| int & | pinned_fp_pressure_eqn () |
| double | u_nst (const unsigned &n, const unsigned &i) const |
| double | u_nst (const unsigned &t, const unsigned &n, const unsigned &i) const |
| virtual unsigned | u_index_nst (const unsigned &i) const |
| unsigned | n_u_nst () const |
| double | get_du_dt (const unsigned &n, const unsigned &i) const |
| double | du_dt_nst (const unsigned &n, const unsigned &i) const |
| double | interpolated_du_dt_nst (const Vector< double > &s, const unsigned &i) const |
| void | disable_ALE () |
| void | enable_ALE () |
| double | pressure_integral () const |
| Integral of pressure over element. More... | |
| double | dissipation () const |
| Return integral of dissipation over element. More... | |
| double | dissipation (const Vector< double > &s) const |
| Return dissipation at local coordinate s. More... | |
| void | get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const |
| Compute the vorticity vector at local coordinate s. More... | |
| void | get_vorticity (const Vector< double > &s, double &vorticity) const |
| Compute the vorticity vector at local coordinate s. More... | |
| double | kin_energy () const |
| Get integral of kinetic energy over element. More... | |
| double | d_kin_energy_dt () const |
| Get integral of time derivative of kinetic energy over element. More... | |
| void | strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const |
| Strain-rate tensor: 1/2 (du_i/dx_j+du_j/dx_i) More... | |
| void | get_traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction) |
| void | get_traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction_p, Vector< double > &traction_visc_n, Vector< double > &traction_visc_t) |
| void | get_load (const Vector< double > &s, const Vector< double > &N, Vector< double > &load) |
| unsigned | nscalar_paraview () const |
| void | scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) const |
| void | scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const |
| std::string | scalar_name_paraview (const unsigned &i) const |
| void | full_output (std::ostream &outfile) |
| void | full_output (std::ostream &outfile, const unsigned &n_plot) |
| void | output_veloc (std::ostream &outfile, const unsigned &nplot, const unsigned &t) |
| void | output_vorticity (std::ostream &outfile, const unsigned &nplot) |
| void | output_fct (std::ostream &outfile, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) |
| void | output_fct (std::ostream &outfile, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) |
| void | compute_norm (Vector< double > &norm) |
| Compute the vector norm of the FEM solution. More... | |
| void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm) |
| void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm) |
| void | compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm) |
| void | compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm) |
| void | compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm) |
| void | fill_in_contribution_to_residuals (Vector< double > &residuals) |
| Compute the element's residual Vector. More... | |
| void | fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| void | fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix) |
| void | fill_in_contribution_to_dresiduals_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam) |
| void | fill_in_contribution_to_djacobian_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam) |
| void | fill_in_contribution_to_djacobian_and_dmass_matrix_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam) |
| void | fill_in_pressure_advection_diffusion_residuals (Vector< double > &residuals) |
| void | fill_in_pressure_advection_diffusion_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| void | pin_all_non_pressure_dofs (std::map< Data *, std::vector< int >> &eqn_number_backup) |
| Pin all non-pressure dofs and backup eqn numbers. More... | |
| void | output_pressure_advection_diffusion_robin_elements (std::ostream &outfile) |
| void | delete_pressure_advection_diffusion_robin_elements () |
| void | interpolated_u_nst (const Vector< double > &s, Vector< double > &velocity) const |
| Compute vector of FE interpolated velocity u at local coordinate s. More... | |
| double | interpolated_u_nst (const Vector< double > &s, const unsigned &i) const |
| Return FE interpolated velocity u[i] at local coordinate s. More... | |
| double | interpolated_u_nst (const unsigned &t, const Vector< double > &s, const unsigned &i) const |
| virtual double | interpolated_p_nst (const Vector< double > &s) const |
| Return FE interpolated pressure at local coordinate s. More... | |
| double | interpolated_p_nst (const unsigned &t, const Vector< double > &s) const |
| Return FE interpolated pressure at local coordinate s at time level t. More... | |
| void | point_output_data (const Vector< double > &s, Vector< double > &data) |
| SpaceTimeNavierStokesEquations () | |
| void | store_strouhal_as_external_data (Data *strouhal_data_pt) |
| Function that tells us whether the period is stored as external data. More... | |
| bool | is_reynolds_strouhal_stored_as_external_data () const |
| Are we storing the Strouhal number as external data? More... | |
| const double & | re () const |
| Reynolds number. More... | |
| double *& | re_pt () |
| Pointer to Reynolds number. More... | |
| const double & | re_st () const |
| ReSt parameter (const. version) More... | |
| double * | re_st_pt () const |
| Pointer to Strouhal parameter (const. version) More... | |
| double *& | re_st_pt () |
| Pointer to ReSt number (can only assign to private member data) More... | |
| const double & | viscosity_ratio () const |
| double *& | viscosity_ratio_pt () |
| Pointer to Viscosity Ratio. More... | |
| const double & | density_ratio () const |
| double *& | density_ratio_pt () |
| Pointer to Density ratio. More... | |
| const double & | re_invfr () const |
| Global inverse Froude number. More... | |
| double *& | re_invfr_pt () |
| Pointer to global inverse Froude number. More... | |
| const Vector< double > & | g () const |
| Vector of gravitational components. More... | |
| Vector< double > *& | g_pt () |
| Pointer to Vector of gravitational components. More... | |
| NavierStokesBodyForceFctPt & | body_force_fct_pt () |
| Access function for the body-force pointer. More... | |
| NavierStokesBodyForceFctPt | body_force_fct_pt () const |
| Access function for the body-force pointer. Const version. More... | |
| NavierStokesSourceFctPt & | source_fct_pt () |
| Access function for the source-function pointer. More... | |
| NavierStokesSourceFctPt | source_fct_pt () const |
| Access function for the source-function pointer. Const version. More... | |
| NavierStokesPressureAdvDiffSourceFctPt & | source_fct_for_pressure_adv_diff () |
| NavierStokesPressureAdvDiffSourceFctPt | source_fct_for_pressure_adv_diff () const |
| int & | pinned_fp_pressure_eqn () |
| double | u_nst (const unsigned &n, const unsigned &i) const |
| double | u_nst (const unsigned &t, const unsigned &n, const unsigned &i) const |
| virtual unsigned | u_index_nst (const unsigned &i) const |
| unsigned | n_u_nst () const |
| double | get_du_dt (const unsigned &n, const unsigned &i) const |
| double | du_dt_nst (const unsigned &n, const unsigned &i) const |
| double | interpolated_du_dt_nst (const Vector< double > &s, const unsigned &i) const |
| void | disable_ALE () |
| void | enable_ALE () |
| double | pressure_integral () const |
| Integral of pressure over element. More... | |
| double | dissipation () const |
| Return integral of dissipation over element. More... | |
| double | dissipation (const Vector< double > &s) const |
| Return dissipation at local coordinate s. More... | |
| void | get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const |
| Compute the vorticity vector at local coordinate s. More... | |
| void | get_vorticity (const Vector< double > &s, double &vorticity) const |
| Compute the vorticity vector at local coordinate s. More... | |
| double | kin_energy () const |
| Get integral of kinetic energy over element. More... | |
| double | d_kin_energy_dt () const |
| Get integral of time derivative of kinetic energy over element. More... | |
| void | strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const |
| Strain-rate tensor: 1/2 (du_i/dx_j+du_j/dx_i) More... | |
| void | get_traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction) |
| void | get_traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction_p, Vector< double > &traction_visc_n, Vector< double > &traction_visc_t) |
| void | get_load (const Vector< double > &s, const Vector< double > &N, Vector< double > &load) |
| void | get_pressure_and_velocity_mass_matrix_diagonal (Vector< double > &press_mass_diag, Vector< double > &veloc_mass_diag, const unsigned &which_one=0) |
| unsigned | nscalar_paraview () const |
| void | scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) const |
| void | scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const |
| std::string | scalar_name_paraview (const unsigned &i) const |
| void | full_output (std::ostream &outfile) |
| void | full_output (std::ostream &outfile, const unsigned &n_plot) |
| void | output_veloc (std::ostream &outfile, const unsigned &nplot, const unsigned &t) |
| void | output_vorticity (std::ostream &outfile, const unsigned &nplot) |
| void | output_fct (std::ostream &outfile, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) |
| void | output_fct (std::ostream &outfile, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) |
| void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm) |
| void | compute_norm (Vector< double > &norm) |
| Compute the vector norm of the FEM solution. More... | |
| void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm) |
| void | compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm) |
| void | compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm) |
| void | compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm) |
| void | fill_in_contribution_to_residuals (Vector< double > &residuals) |
| Compute the element's residual Vector. More... | |
| void | fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| void | fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix) |
| void | fill_in_contribution_to_dresiduals_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam) |
| void | fill_in_contribution_to_djacobian_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam) |
| void | fill_in_contribution_to_djacobian_and_dmass_matrix_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam) |
| void | fill_in_pressure_advection_diffusion_residuals (Vector< double > &residuals) |
| void | fill_in_pressure_advection_diffusion_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| void | pin_all_non_pressure_dofs (std::map< Data *, std::vector< int >> &eqn_number_backup) |
| Pin all non-pressure dofs and backup eqn numbers. More... | |
| void | output_pressure_advection_diffusion_robin_elements (std::ostream &outfile) |
| void | delete_pressure_advection_diffusion_robin_elements () |
| void | interpolated_u_nst (const Vector< double > &s, Vector< double > &velocity) const |
| Compute vector of FE interpolated velocity u at local coordinate s. More... | |
| double | interpolated_u_nst (const Vector< double > &s, const unsigned &i) const |
| Return FE interpolated velocity u[i] at local coordinate s. More... | |
| double | interpolated_u_nst (const unsigned &t, const Vector< double > &s, const unsigned &i) const |
| virtual double | interpolated_p_nst (const Vector< double > &s) const |
| Return FE interpolated pressure at local coordinate s. More... | |
| double | interpolated_p_nst (const unsigned &t, const Vector< double > &s) const |
| Return FE interpolated pressure at local coordinate s at time level t. More... | |
| void | point_output_data (const Vector< double > &s, Vector< double > &data) |
| void | get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const |
| void | get_vorticity (const Vector< double > &s, double &vorticity) const |
| void | get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const |
| void | get_vorticity (const Vector< double > &s, double &vorticity) const |
| void | get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const |
| void | get_vorticity (const Vector< double > &s, double &vorticity) const |
| Public Member Functions inherited from oomph::FSIFluidElement | |
| FSIFluidElement () | |
| Constructor. More... | |
| FSIFluidElement (const FSIFluidElement &)=delete | |
| Broken copy constructor. More... | |
| void | operator= (const FSIFluidElement &)=delete |
| Broken assignment operator. More... | |
| Public Member Functions inherited from oomph::FiniteElement | |
| void | set_dimension (const unsigned &dim) |
| void | set_nodal_dimension (const unsigned &nodal_dim) |
| void | set_nnodal_position_type (const unsigned &nposition_type) |
| Set the number of types required to interpolate the coordinate. More... | |
| void | set_n_node (const unsigned &n) |
| int | nodal_local_eqn (const unsigned &n, const unsigned &i) const |
| double | dJ_eulerian_at_knot (const unsigned &ipt, Shape &psi, DenseMatrix< double > &djacobian_dX) const |
| FiniteElement () | |
| Constructor. More... | |
| virtual | ~FiniteElement () |
| FiniteElement (const FiniteElement &)=delete | |
| Broken copy constructor. More... | |
| virtual bool | local_coord_is_valid (const Vector< double > &s) |
| Broken assignment operator. More... | |
| virtual void | move_local_coord_back_into_element (Vector< double > &s) const |
| void | get_centre_of_gravity_and_max_radius_in_terms_of_zeta (Vector< double > &cog, double &max_radius) const |
| virtual void | local_coordinate_of_node (const unsigned &j, Vector< double > &s) const |
| virtual void | local_fraction_of_node (const unsigned &j, Vector< double > &s_fraction) |
| virtual double | local_one_d_fraction_of_node (const unsigned &n1d, const unsigned &i) |
| virtual void | set_macro_elem_pt (MacroElement *macro_elem_pt) |
| MacroElement * | macro_elem_pt () |
| Access function to pointer to macro element. More... | |
| void | get_x (const Vector< double > &s, Vector< double > &x) const |
| void | get_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) |
| virtual void | get_x_from_macro_element (const Vector< double > &s, Vector< double > &x) const |
| virtual void | get_x_from_macro_element (const unsigned &t, const Vector< double > &s, Vector< double > &x) |
| virtual void | set_integration_scheme (Integral *const &integral_pt) |
| Set the spatial integration scheme. More... | |
| Integral *const & | integral_pt () const |
| Return the pointer to the integration scheme (const version) More... | |
| virtual void | shape (const Vector< double > &s, Shape &psi) const =0 |
| virtual void | shape_at_knot (const unsigned &ipt, Shape &psi) const |
| virtual void | dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const |
| virtual void | dshape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids) const |
| virtual void | d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const |
| virtual void | d2shape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids, DShape &d2psids) const |
| virtual double | J_eulerian (const Vector< double > &s) const |
| virtual double | J_eulerian_at_knot (const unsigned &ipt) const |
| void | check_J_eulerian_at_knots (bool &passed) const |
| void | check_jacobian (const double &jacobian) const |
| double | dshape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx) const |
| virtual double | dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx) const |
| virtual double | dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsi, DenseMatrix< double > &djacobian_dX, RankFourTensor< double > &d_dpsidx_dX) const |
| double | d2shape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx, DShape &d2psidx) const |
| virtual double | d2shape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx, DShape &d2psidx) const |
| virtual void | describe_local_dofs (std::ostream &out, const std::string ¤t_string) const |
| virtual void | describe_nodal_local_dofs (std::ostream &out, const std::string ¤t_string) const |
| virtual void | assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt) |
| Node *& | node_pt (const unsigned &n) |
| Return a pointer to the local node n. More... | |
| Node *const & | node_pt (const unsigned &n) const |
| Return a pointer to the local node n (const version) More... | |
| unsigned | nnode () const |
| Return the number of nodes. More... | |
| virtual unsigned | nnode_1d () const |
| double | raw_nodal_position (const unsigned &n, const unsigned &i) const |
| double | raw_nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const |
| double | raw_dnodal_position_dt (const unsigned &n, const unsigned &i) const |
| double | raw_dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const |
| double | raw_nodal_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | raw_nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | raw_dnodal_position_gen_dt (const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | raw_dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | nodal_position (const unsigned &n, const unsigned &i) const |
| double | nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const |
| double | dnodal_position_dt (const unsigned &n, const unsigned &i) const |
| Return the i-th component of nodal velocity: dx/dt at local node n. More... | |
| double | dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const |
| double | nodal_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | dnodal_position_gen_dt (const unsigned &n, const unsigned &k, const unsigned &i) const |
| double | dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const |
| unsigned | nnodal_position_type () const |
| bool | has_hanging_nodes () const |
| unsigned | nodal_dimension () const |
| Return the required Eulerian dimension of the nodes in this element. More... | |
| virtual Node * | construct_node (const unsigned &n) |
| virtual Node * | construct_node (const unsigned &n, TimeStepper *const &time_stepper_pt) |
| virtual Node * | construct_boundary_node (const unsigned &n) |
| virtual Node * | construct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt) |
| int | get_node_number (Node *const &node_pt) const |
| virtual Node * | get_node_at_local_coordinate (const Vector< double > &s) const |
| double | raw_nodal_value (const unsigned &n, const unsigned &i) const |
| double | raw_nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const |
| double | nodal_value (const unsigned &n, const unsigned &i) const |
| double | nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const |
| unsigned | dim () const |
| virtual ElementGeometry::ElementGeometry | element_geometry () const |
| Return the geometry type of the element (either Q or T usually). More... | |
| virtual double | interpolated_x (const Vector< double > &s, const unsigned &i) const |
| Return FE interpolated coordinate x[i] at local coordinate s. More... | |
| virtual double | interpolated_x (const unsigned &t, const Vector< double > &s, const unsigned &i) const |
| virtual void | interpolated_x (const Vector< double > &s, Vector< double > &x) const |
| Return FE interpolated position x[] at local coordinate s as Vector. More... | |
| virtual void | interpolated_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) const |
| virtual double | interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t) |
| virtual void | interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt) |
| unsigned | ngeom_data () const |
| Data * | geom_data_pt (const unsigned &j) |
| void | position (const Vector< double > &zeta, Vector< double > &r) const |
| void | position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const |
| void | dposition_dt (const Vector< double > &zeta, const unsigned &t, Vector< double > &drdt) |
| virtual double | zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const |
| void | interpolated_zeta (const Vector< double > &s, Vector< double > &zeta) const |
| void | locate_zeta (const Vector< double > &zeta, GeomObject *&geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false) |
| virtual void | node_update () |
| virtual void | identify_geometric_data (std::set< Data * > &geometric_data_pt) |
| virtual double | s_min () const |
| Min value of local coordinate. More... | |
| virtual double | s_max () const |
| Max. value of local coordinate. More... | |
| double | size () const |
| virtual double | compute_physical_size () const |
| void | point_output (std::ostream &outfile, const Vector< double > &s) |
| virtual unsigned | nplot_points_paraview (const unsigned &nplot) const |
| virtual unsigned | nsub_elements_paraview (const unsigned &nplot) const |
| void | output_paraview (std::ofstream &file_out, const unsigned &nplot) const |
| virtual void | write_paraview_output_offset_information (std::ofstream &file_out, const unsigned &nplot, unsigned &counter) const |
| virtual void | write_paraview_type (std::ofstream &file_out, const unsigned &nplot) const |
| virtual void | write_paraview_offsets (std::ofstream &file_out, const unsigned &nplot, unsigned &offset_sum) const |
| virtual void | scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) const |
| virtual void | output (const unsigned &t, std::ostream &outfile, const unsigned &n_plot) const |
| virtual void | output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, const SolutionFunctorBase &exact_soln) const |
| Output a time-dependent exact solution over the element. More... | |
| virtual void | get_s_plot (const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &shifted_to_interior=false) const |
| virtual std::string | tecplot_zone_string (const unsigned &nplot) const |
| virtual void | write_tecplot_zone_footer (std::ostream &outfile, const unsigned &nplot) const |
| virtual void | write_tecplot_zone_footer (FILE *file_pt, const unsigned &nplot) const |
| virtual unsigned | nplot_points (const unsigned &nplot) const |
| virtual void | compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm) |
| virtual void | compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm) |
| virtual void | compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm) |
| virtual void | compute_abs_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error) |
| void | integrate_fct (FiniteElement::SteadyExactSolutionFctPt integrand_fct_pt, Vector< double > &integral) |
| Integrate Vector-valued function over element. More... | |
| void | integrate_fct (FiniteElement::UnsteadyExactSolutionFctPt integrand_fct_pt, const double &time, Vector< double > &integral) |
| Integrate Vector-valued time-dep function over element. More... | |
| virtual void | build_face_element (const int &face_index, FaceElement *face_element_pt) |
| virtual unsigned | self_test () |
| virtual unsigned | get_bulk_node_number (const int &face_index, const unsigned &i) const |
| virtual int | face_outer_unit_normal_sign (const int &face_index) const |
| Get the sign of the outer unit normal on the face given by face_index. More... | |
| virtual unsigned | nnode_on_face () const |
| void | face_node_number_error_check (const unsigned &i) const |
| Range check for face node numbers. More... | |
| virtual CoordinateMappingFctPt | face_to_bulk_coordinate_fct_pt (const int &face_index) const |
| virtual BulkCoordinateDerivativesFctPt | bulk_coordinate_derivatives_fct_pt (const int &face_index) const |
| Public Member Functions inherited from oomph::GeneralisedElement | |
| GeneralisedElement () | |
| Constructor: Initialise all pointers and all values to zero. More... | |
| virtual | ~GeneralisedElement () |
| Virtual destructor to clean up any memory allocated by the object. More... | |
| GeneralisedElement (const GeneralisedElement &)=delete | |
| Broken copy constructor. More... | |
| void | operator= (const GeneralisedElement &)=delete |
| Broken assignment operator. More... | |
| Data *& | internal_data_pt (const unsigned &i) |
| Return a pointer to i-th internal data object. More... | |
| Data *const & | internal_data_pt (const unsigned &i) const |
| Return a pointer to i-th internal data object (const version) More... | |
| Data *& | external_data_pt (const unsigned &i) |
| Return a pointer to i-th external data object. More... | |
| Data *const & | external_data_pt (const unsigned &i) const |
| Return a pointer to i-th external data object (const version) More... | |
| unsigned long | eqn_number (const unsigned &ieqn_local) const |
| int | local_eqn_number (const unsigned long &ieqn_global) const |
| unsigned | add_external_data (Data *const &data_pt, const bool &fd=true) |
| bool | external_data_fd (const unsigned &i) const |
| void | exclude_external_data_fd (const unsigned &i) |
| void | include_external_data_fd (const unsigned &i) |
| void | flush_external_data () |
| Flush all external data. More... | |
| void | flush_external_data (Data *const &data_pt) |
| Flush the object addressed by data_pt from the external data array. More... | |
| unsigned | ninternal_data () const |
| Return the number of internal data objects. More... | |
| unsigned | nexternal_data () const |
| Return the number of external data objects. More... | |
| unsigned | ndof () const |
| Return the number of equations/dofs in the element. More... | |
| void | dof_vector (const unsigned &t, Vector< double > &dof) |
| Return the vector of dof values at time level t. More... | |
| void | dof_pt_vector (Vector< double * > &dof_pt) |
| Return the vector of pointers to dof values. More... | |
| void | set_internal_data_time_stepper (const unsigned &i, TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data) |
| void | assign_internal_eqn_numbers (unsigned long &global_number, Vector< double * > &Dof_pt) |
| void | describe_dofs (std::ostream &out, const std::string ¤t_string) const |
| void | add_internal_value_pt_to_map (std::map< unsigned, double * > &map_of_value_pt) |
| virtual void | assign_local_eqn_numbers (const bool &store_local_dof_pt) |
| virtual void | complete_setup_of_dependencies () |
| virtual void | get_residuals (Vector< double > &residuals) |
| virtual void | get_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| virtual void | get_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix) |
| virtual void | get_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix) |
| virtual void | get_dresiduals_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam) |
| virtual void | get_djacobian_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam) |
| virtual void | get_djacobian_and_dmass_matrix_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam) |
| virtual void | get_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product) |
| virtual void | get_inner_products (Vector< std::pair< unsigned, unsigned >> const &history_index, Vector< double > &inner_product) |
| virtual void | get_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double >> &inner_product_vector) |
| virtual void | compute_norm (double &norm) |
| Public Member Functions inherited from oomph::GeomObject | |
| GeomObject () | |
| Default constructor. More... | |
| GeomObject (const unsigned &ndim) | |
| GeomObject (const unsigned &nlagrangian, const unsigned &ndim) | |
| GeomObject (const unsigned &nlagrangian, const unsigned &ndim, TimeStepper *time_stepper_pt) | |
| GeomObject (const GeomObject &dummy)=delete | |
| Broken copy constructor. More... | |
| void | operator= (const GeomObject &)=delete |
| Broken assignment operator. More... | |
| virtual | ~GeomObject () |
| (Empty) destructor More... | |
| unsigned | nlagrangian () const |
| Access function to # of Lagrangian coordinates. More... | |
| unsigned | ndim () const |
| Access function to # of Eulerian coordinates. More... | |
| void | set_nlagrangian_and_ndim (const unsigned &n_lagrangian, const unsigned &n_dim) |
| Set # of Lagrangian and Eulerian coordinates. More... | |
| TimeStepper *& | time_stepper_pt () |
| TimeStepper * | time_stepper_pt () const |
| virtual void | position (const double &t, const Vector< double > &zeta, Vector< double > &r) const |
| virtual void | dposition (const Vector< double > &zeta, DenseMatrix< double > &drdzeta) const |
| virtual void | d2position (const Vector< double > &zeta, RankThreeTensor< double > &ddrdzeta) const |
| virtual void | d2position (const Vector< double > &zeta, Vector< double > &r, DenseMatrix< double > &drdzeta, RankThreeTensor< double > &ddrdzeta) const |
| Public Member Functions inherited from oomph::TemplateFreeSpaceTimeNavierStokesEquationsBase | |
| TemplateFreeSpaceTimeNavierStokesEquationsBase () | |
| Constructor (empty) More... | |
| virtual | ~TemplateFreeSpaceTimeNavierStokesEquationsBase () |
| Virtual destructor (empty) More... | |
| TemplateFreeSpaceTimeNavierStokesEquationsBase () | |
| Constructor (empty) More... | |
| virtual | ~TemplateFreeSpaceTimeNavierStokesEquationsBase () |
| Virtual destructor (empty) More... | |
| TemplateFreeSpaceTimeNavierStokesEquationsBase () | |
| Constructor (empty) More... | |
| virtual | ~TemplateFreeSpaceTimeNavierStokesEquationsBase () |
| Virtual destructor (empty) More... | |
| Public Member Functions inherited from oomph::NavierStokesElementWithDiagonalMassMatrices | |
| NavierStokesElementWithDiagonalMassMatrices () | |
| Empty constructor. More... | |
| virtual | ~NavierStokesElementWithDiagonalMassMatrices () |
| Virtual destructor. More... | |
| NavierStokesElementWithDiagonalMassMatrices (const NavierStokesElementWithDiagonalMassMatrices &)=delete | |
| Broken copy constructor. More... | |
| void | operator= (const NavierStokesElementWithDiagonalMassMatrices &)=delete |
| Broken assignment operator. More... | |
| Public Member Functions inherited from oomph::RefineableSpaceTimeNavierStokesEquations< DIM > | |
| RefineableSpaceTimeNavierStokesEquations () | |
| Constructor. More... | |
| void | get_pressure_and_velocity_mass_matrix_diagonal (Vector< double > &press_mass_diag, Vector< double > &veloc_mass_diag, const unsigned &which_one=0) |
| unsigned | num_Z2_flux_terms () |
| Number of 'flux' terms for Z2 error estimation. More... | |
| void | get_Z2_flux (const Vector< double > &s, Vector< double > &flux) |
| void | further_build () |
| Further build, pass the pointers down to the sons. More... | |
| void | dinterpolated_u_nst_ddata (const Vector< double > &s, const unsigned &i, Vector< double > &du_ddata, Vector< unsigned > &global_eqn_number) |
| RefineableSpaceTimeNavierStokesEquations () | |
| Constructor. More... | |
| void | get_pressure_and_velocity_mass_matrix_diagonal (Vector< double > &press_mass_diag, Vector< double > &veloc_mass_diag, const unsigned &which_one=0) |
| unsigned | num_Z2_flux_terms () |
| Number of 'flux' terms for Z2 error estimation. More... | |
| void | get_Z2_flux (const Vector< double > &s, Vector< double > &flux) |
| void | further_build () |
| Further build, pass the pointers down to the sons. More... | |
| void | dinterpolated_u_nst_ddata (const Vector< double > &s, const unsigned &i, Vector< double > &du_ddata, Vector< unsigned > &global_eqn_number) |
| RefineableSpaceTimeNavierStokesEquations () | |
| Constructor. More... | |
| void | get_pressure_and_velocity_mass_matrix_diagonal (Vector< double > &press_mass_diag, Vector< double > &veloc_mass_diag, const unsigned &which_one=0) |
| unsigned | num_Z2_flux_terms () |
| Number of 'flux' terms for Z2 error estimation. More... | |
| void | get_Z2_flux (const Vector< double > &s, Vector< double > &flux) |
| void | further_build () |
| Further build, pass the pointers down to the sons. More... | |
| void | dinterpolated_u_nst_ddata (const Vector< double > &s, const unsigned &i, Vector< double > &du_ddata, Vector< unsigned > &global_eqn_number) |
| Public Member Functions inherited from oomph::RefineableElement | |
| RefineableElement () | |
| virtual | ~RefineableElement () |
| Destructor, delete the allocated storage for the hanging equations. More... | |
| RefineableElement (const RefineableElement &)=delete | |
| Broken copy constructor. More... | |
| void | operator= (const RefineableElement &)=delete |
| Broken assignment operator. More... | |
| Tree * | tree_pt () |
| Access function: Pointer to quadtree representation of this element. More... | |
| void | set_tree_pt (Tree *my_tree_pt) |
| Set pointer to quadtree representation of this element. More... | |
| virtual unsigned | required_nsons () const |
| bool | refinement_is_enabled () |
| Flag to indicate suppression of any refinement. More... | |
| void | disable_refinement () |
| Suppress of any refinement for this element. More... | |
| void | enable_refinement () |
| Emnable refinement for this element. More... | |
| template<class ELEMENT > | |
| void | split (Vector< ELEMENT * > &son_pt) const |
| int | local_hang_eqn (Node *const &node_pt, const unsigned &i) |
| virtual void | build (Mesh *&mesh_pt, Vector< Node * > &new_node_pt, bool &was_already_built, std::ofstream &new_nodes_file)=0 |
| void | set_refinement_level (const int &refine_level) |
| Set the refinement level. More... | |
| unsigned | refinement_level () const |
| Return the Refinement level. More... | |
| void | select_for_refinement () |
| Select the element for refinement. More... | |
| void | deselect_for_refinement () |
| Deselect the element for refinement. More... | |
| void | select_sons_for_unrefinement () |
| Unrefinement will be performed by merging the four sons of this element. More... | |
| void | deselect_sons_for_unrefinement () |
| bool | to_be_refined () |
| Has the element been selected for refinement? More... | |
| bool | sons_to_be_unrefined () |
| Has the element been selected for unrefinement? More... | |
| virtual void | unbuild () |
| virtual void | deactivate_element () |
| virtual bool | nodes_built () |
| Return true if all the nodes have been built, false if not. More... | |
| long | number () const |
| Element number (for debugging/plotting) More... | |
| void | set_number (const long &mynumber) |
| Set element number (for debugging/plotting) More... | |
| virtual void | check_integrity (double &max_error)=0 |
| void | identify_field_data_for_interactions (std::set< std::pair< Data *, unsigned >> &paired_field_data) |
| void | assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt) |
| virtual RefineableElement * | root_element_pt () |
| virtual RefineableElement * | father_element_pt () const |
| Return a pointer to the father element. More... | |
| void | get_father_at_refinement_level (unsigned &refinement_level, RefineableElement *&father_at_reflevel_pt) |
| virtual void | initial_setup (Tree *const &adopted_father_pt=0, const unsigned &initial_p_order=0) |
| virtual void | pre_build (Mesh *&mesh_pt, Vector< Node * > &new_node_pt) |
| Pre-build the element. More... | |
| virtual void | setup_hanging_nodes (Vector< std::ofstream * > &output_stream) |
| unsigned | nshape_controlling_nodes () |
| std::map< Node *, unsigned > | shape_controlling_node_lookup () |
| Public Member Functions inherited from oomph::ElementWithZ2ErrorEstimator | |
| ElementWithZ2ErrorEstimator () | |
| Default empty constructor. More... | |
| ElementWithZ2ErrorEstimator (const ElementWithZ2ErrorEstimator &)=delete | |
| Broken copy constructor. More... | |
| void | operator= (const ElementWithZ2ErrorEstimator &)=delete |
| Broken assignment operator. More... | |
| virtual unsigned | ncompound_fluxes () |
| virtual void | compute_exact_Z2_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_flux_pt, double &error, double &norm) |
| virtual void | get_Z2_compound_flux_indices (Vector< unsigned > &flux_index) |
| virtual double | geometric_jacobian (const Vector< double > &x) |
| Public Member Functions inherited from oomph::RefineableQElement< DIM+1 > | |
| RefineableQElement () | |
| Empty constuctor. More... | |
Private Member Functions | |
| void | unpin_elemental_pressure_dofs () |
| Unpin all pressure dofs. More... | |
| void | pin_elemental_redundant_nodal_pressure_dofs () |
| Pin all nodal pressure dofs that are not required. More... | |
| void | unpin_elemental_pressure_dofs () |
| Unpin all pressure dofs. More... | |
| void | pin_elemental_redundant_nodal_pressure_dofs () |
| Pin all nodal pressure dofs that are not required. More... | |
| void | unpin_elemental_pressure_dofs () |
| Unpin all pressure dofs. More... | |
| void | pin_elemental_redundant_nodal_pressure_dofs () |
| Pin all nodal pressure dofs that are not required. More... | |
Additional Inherited Members | |
| Public Types inherited from oomph::SpaceTimeNavierStokesEquations< DIM > | |
| typedef void(* | NavierStokesBodyForceFctPt) (const double &time, const Vector< double > &x, Vector< double > &body_force) |
| typedef double(* | NavierStokesSourceFctPt) (const double &time, const Vector< double > &x) |
| Function pointer to source function fct(t,x) (x is a Vector!) More... | |
| typedef double(* | NavierStokesPressureAdvDiffSourceFctPt) (const Vector< double > &x) |
| typedef void(* | NavierStokesBodyForceFctPt) (const double &time, const Vector< double > &x, Vector< double > &body_force) |
| typedef double(* | NavierStokesSourceFctPt) (const double &time, const Vector< double > &x) |
| Function pointer to source function fct(t,x) (x is a Vector!) More... | |
| typedef double(* | NavierStokesPressureAdvDiffSourceFctPt) (const Vector< double > &x) |
| typedef void(* | NavierStokesBodyForceFctPt) (const double &time, const Vector< double > &x, Vector< double > &body_force) |
| typedef double(* | NavierStokesSourceFctPt) (const double &time, const Vector< double > &x) |
| Function pointer to source function fct(t,x) (x is a Vector!) More... | |
| typedef double(* | NavierStokesPressureAdvDiffSourceFctPt) (const Vector< double > &x) |
| Public Types inherited from oomph::FiniteElement | |
| typedef void(* | SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &) |
| typedef void(* | UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &) |
| Static Public Member Functions inherited from oomph::RefineableSpaceTimeNavierStokesEquations< DIM > | |
| static void | pin_redundant_nodal_pressures (const Vector< GeneralisedElement * > &element_pt) |
| static void | unpin_all_pressure_dofs (const Vector< GeneralisedElement * > &element_pt) |
| Unpin all pressure dofs in elements listed in vector. More... | |
| static void | pin_redundant_nodal_pressures (const Vector< GeneralisedElement * > &element_pt) |
| static void | unpin_all_pressure_dofs (const Vector< GeneralisedElement * > &element_pt) |
| Unpin all pressure dofs in elements listed in vector. More... | |
| static void | pin_redundant_nodal_pressures (const Vector< GeneralisedElement * > &element_pt) |
| static void | unpin_all_pressure_dofs (const Vector< GeneralisedElement * > &element_pt) |
| Unpin all pressure dofs in elements listed in vector. More... | |
| Static Public Member Functions inherited from oomph::RefineableElement | |
| static double & | max_integrity_tolerance () |
| Max. allowed discrepancy in element integrity check. More... | |
| Static Public Attributes inherited from oomph::SpaceTimeNavierStokesEquations< DIM > | |
| static Vector< double > | Gamma |
| Navier-Stokes equations static data. More... | |
| Static Public Attributes inherited from oomph::FiniteElement | |
| static double | Tolerance_for_singular_jacobian = 1.0e-16 |
| Tolerance below which the jacobian is considered singular. More... | |
| static bool | Accept_negative_jacobian = false |
| static bool | Suppress_output_while_checking_for_inverted_elements |
| Static Public Attributes inherited from oomph::GeneralisedElement | |
| static bool | Suppress_warning_about_repeated_internal_data |
| static bool | Suppress_warning_about_repeated_external_data = true |
| static double | Default_fd_jacobian_step = 1.0e-8 |
| Protected Member Functions inherited from oomph::QTaylorHoodSpaceTimeElement< DIM > | |
| double | dshape_and_dtest_eulerian_nst (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const |
| double | dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const |
| double | dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const |
| double | dpshape_eulerian (const Vector< double > &s, Shape &ppsi, DShape &dppsidx) const |
| double | dptest_eulerian (const Vector< double > &s, Shape &ptest, DShape &dptestdx) const |
| double | dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const |
| double | dshape_and_dtest_eulerian_nst (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const |
| double | dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const |
| double | dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const |
| double | dpshape_eulerian (const Vector< double > &s, Shape &ppsi, DShape &dppsidx) const |
| double | dptest_eulerian (const Vector< double > &s, Shape &ptest, DShape &dptestdx) const |
| double | dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const |
| double | dshape_and_dtest_eulerian_nst (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const |
| double | dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const |
| double | dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const |
| double | dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const |
| const unsigned | Pconv [12] |
| double | dpshape_eulerian (const Vector< double > &s, Shape &ppsi, DShape &dppsidx) const |
| double | dptest_eulerian (const Vector< double > &s, Shape &ptest, DShape &dptestdx) const |
| double | dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const |
| double | dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const |
| const unsigned | Pconv [8] |
| double | dpshape_eulerian (const Vector< double > &s, Shape &ppsi, DShape &dppsidx) const |
| double | dptest_eulerian (const Vector< double > &s, Shape &ptest, DShape &dptestdx) const |
| double | dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const |
| double | dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const |
| const unsigned | Pconv [8] |
| double | dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const |
| double | dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const |
| Protected Member Functions inherited from oomph::SpaceTimeNavierStokesEquations< DIM > | |
| virtual void | get_body_force_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, Vector< double > &result) |
| virtual void | get_body_force_gradient_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, DenseMatrix< double > &d_body_force_dx) |
| virtual double | get_source_nst (const double &time, const unsigned &ipt, const Vector< double > &x) |
| Calculate the source fct at a given time and Eulerian position. More... | |
| virtual void | get_source_gradient_nst (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &gradient) |
| virtual void | fill_in_generic_dresidual_contribution_nst (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam, const unsigned &flag) |
| void | fill_in_contribution_to_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product) |
| virtual void | get_body_force_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, Vector< double > &result) |
| virtual void | get_body_force_gradient_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, DenseMatrix< double > &d_body_force_dx) |
| virtual double | get_source_nst (const double &time, const unsigned &ipt, const Vector< double > &x) |
| Calculate the source fct at a given time and Eulerian position. More... | |
| virtual void | get_source_gradient_nst (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &gradient) |
| virtual void | fill_in_generic_dresidual_contribution_nst (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam, const unsigned &flag) |
| void | fill_in_contribution_to_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product) |
| virtual void | get_body_force_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, Vector< double > &result) |
| virtual void | get_body_force_gradient_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, DenseMatrix< double > &d_body_force_dx) |
| virtual double | get_source_nst (const double &time, const unsigned &ipt, const Vector< double > &x) |
| Calculate the source fct at a given time and Eulerian position. More... | |
| virtual void | get_source_gradient_nst (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &gradient) |
| virtual void | fill_in_generic_dresidual_contribution_nst (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam, const unsigned &flag) |
| void | fill_in_contribution_to_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product) |
| Protected Member Functions inherited from oomph::FiniteElement | |
| template<unsigned DIM> | |
| double | invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| virtual double | invert_jacobian_mapping (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| virtual double | local_to_eulerian_mapping (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| double | local_to_eulerian_mapping (const DShape &dpsids, DenseMatrix< double > &inverse_jacobian) const |
| virtual void | dJ_eulerian_dnodal_coordinates (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| template<unsigned DIM> | |
| void | dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| virtual void | d_dshape_eulerian_dnodal_coordinates (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| template<unsigned DIM> | |
| void | d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| virtual void | transform_derivatives (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const |
| void | transform_derivatives_diagonal (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const |
| virtual void | transform_second_derivatives (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| template<unsigned DIM> | |
| void | transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| template<unsigned DIM> | |
| void | transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| void | fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian) |
| virtual void | update_before_nodal_fd () |
| virtual void | reset_after_nodal_fd () |
| virtual void | update_in_nodal_fd (const unsigned &i) |
| virtual void | reset_in_nodal_fd (const unsigned &i) |
| template<> | |
| double | invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| Zero-d specialisation of function to calculate inverse of jacobian mapping. More... | |
| template<> | |
| double | invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| One-d specialisation of function to calculate inverse of jacobian mapping. More... | |
| template<> | |
| double | invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| Two-d specialisation of function to calculate inverse of jacobian mapping. More... | |
| template<> | |
| double | invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| template<> | |
| void | dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| template<> | |
| void | dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| template<> | |
| void | dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| template<> | |
| void | dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const |
| template<> | |
| void | d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| template<> | |
| void | d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| template<> | |
| void | d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| template<> | |
| void | d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const |
| template<> | |
| void | transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| template<> | |
| void | transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| template<> | |
| void | transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| template<> | |
| void | transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const |
| Protected Member Functions inherited from oomph::GeneralisedElement | |
| unsigned | add_internal_data (Data *const &data_pt, const bool &fd=true) |
| bool | internal_data_fd (const unsigned &i) const |
| void | exclude_internal_data_fd (const unsigned &i) |
| void | include_internal_data_fd (const unsigned &i) |
| void | clear_global_eqn_numbers () |
| void | add_global_eqn_numbers (std::deque< unsigned long > const &global_eqn_numbers, std::deque< double * > const &global_dof_pt) |
| virtual void | assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt) |
| virtual void | assign_additional_local_eqn_numbers () |
| int | internal_local_eqn (const unsigned &i, const unsigned &j) const |
| int | external_local_eqn (const unsigned &i, const unsigned &j) |
| void | fill_in_jacobian_from_internal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
| void | fill_in_jacobian_from_internal_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
| void | fill_in_jacobian_from_external_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
| void | fill_in_jacobian_from_external_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
| virtual void | update_before_internal_fd () |
| virtual void | reset_after_internal_fd () |
| virtual void | update_in_internal_fd (const unsigned &i) |
| virtual void | reset_in_internal_fd (const unsigned &i) |
| virtual void | update_before_external_fd () |
| virtual void | reset_after_external_fd () |
| virtual void | update_in_external_fd (const unsigned &i) |
| virtual void | reset_in_external_fd (const unsigned &i) |
| virtual void | fill_in_contribution_to_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix) |
| virtual void | fill_in_contribution_to_inner_products (Vector< std::pair< unsigned, unsigned >> const &history_index, Vector< double > &inner_product) |
| virtual void | fill_in_contribution_to_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double >> &inner_product_vector) |
| Protected Member Functions inherited from oomph::RefineableSpaceTimeNavierStokesEquations< DIM > | |
| void | fill_in_generic_residual_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, const unsigned &compute_jacobian_flag) |
| void | fill_in_generic_pressure_advection_diffusion_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &compute_jacobian_flag) |
| virtual void | get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates) |
| void | fill_in_generic_residual_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, const unsigned &compute_jacobian_flag) |
| void | fill_in_generic_pressure_advection_diffusion_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &compute_jacobian_flag) |
| virtual void | get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates) |
| void | fill_in_generic_residual_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, const unsigned &compute_jacobian_flag) |
| void | fill_in_generic_pressure_advection_diffusion_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &compute_jacobian_flag) |
| virtual void | get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates) |
| Protected Member Functions inherited from oomph::RefineableElement | |
| void | assemble_local_to_eulerian_jacobian (const DShape &dpsids, DenseMatrix< double > &jacobian) const |
| void | assemble_local_to_eulerian_jacobian2 (const DShape &d2psids, DenseMatrix< double > &jacobian2) const |
| void | assemble_eulerian_base_vectors (const DShape &dpsids, DenseMatrix< double > &interpolated_G) const |
| double | local_to_eulerian_mapping_diagonal (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const |
| void | assign_hanging_local_eqn_numbers (const bool &store_local_dof_pt) |
| Assign the local equation numbers for hanging node variables. More... | |
| virtual void | fill_in_jacobian_from_nodal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| Static Protected Member Functions inherited from oomph::RefineableElement | |
| static void | check_value_id (const int &n_continuously_interpolated_values, const int &value_id) |
| Protected Attributes inherited from oomph::SpaceTimeNavierStokesEquations< DIM > | |
| double * | Viscosity_Ratio_pt |
| double * | Density_Ratio_pt |
| double * | Re_pt |
| Pointer to global Reynolds number. More... | |
| double * | St_pt |
| Pointer to global Reynolds number x Strouhal number (=Womersley) More... | |
| bool | Strouhal_is_stored_as_external_data |
| double * | ReInvFr_pt |
| Vector< double > * | G_pt |
| Pointer to global gravity Vector. More... | |
| NavierStokesBodyForceFctPt | Body_force_fct_pt |
| Pointer to body force function. More... | |
| NavierStokesSourceFctPt | Source_fct_pt |
| Pointer to volumetric source function. More... | |
| NavierStokesPressureAdvDiffSourceFctPt | Press_adv_diff_source_fct_pt |
| bool | ALE_is_disabled |
| Vector< FpPressureAdvDiffRobinBCSpaceTimeElementBase * > | Pressure_advection_diffusion_robin_element_pt |
| int | Pinned_fp_pressure_eqn |
| double * | ReSt_pt |
| Pointer to global Reynolds number x Strouhal number (= Womersley) More... | |
| bool | ReynoldsStrouhal_is_stored_as_external_data |
| Protected Attributes inherited from oomph::FiniteElement | |
| MacroElement * | Macro_elem_pt |
| Pointer to the element's macro element (NULL by default) More... | |
| Protected Attributes inherited from oomph::GeomObject | |
| unsigned | NLagrangian |
| Number of Lagrangian (intrinsic) coordinates. More... | |
| unsigned | Ndim |
| Number of Eulerian coordinates. More... | |
| TimeStepper * | Geom_object_time_stepper_pt |
| Protected Attributes inherited from oomph::RefineableElement | |
| Tree * | Tree_pt |
| A pointer to a general tree object. More... | |
| unsigned | Refine_level |
| Refinement level. More... | |
| bool | To_be_refined |
| Flag for refinement. More... | |
| bool | Refinement_is_enabled |
| Flag to indicate suppression of any refinement. More... | |
| bool | Sons_to_be_unrefined |
| Flag for unrefinement. More... | |
| long | Number |
| Global element number – for plotting/validation purposes. More... | |
| Static Protected Attributes inherited from oomph::QTaylorHoodSpaceTimeElement< DIM > | |
| static const unsigned | Pconv [] |
| Static Protected Attributes inherited from oomph::FiniteElement | |
| static const unsigned | Default_Initial_Nvalue = 0 |
| Default value for the number of values at a node. More... | |
| static const double | Node_location_tolerance = 1.0e-14 |
| static const unsigned | N2deriv [] = {0, 1, 3, 6} |
| Static Protected Attributes inherited from oomph::GeneralisedElement | |
| static DenseMatrix< double > | Dummy_matrix |
| static std::deque< double * > | Dof_pt_deque |
| Static Protected Attributes inherited from oomph::RefineableElement | |
| static double | Max_integrity_tolerance = 1.0e-8 |
| Max. allowed discrepancy in element integrity check. More... | |
Refineable version of Taylor Hood elements. These classes can be written in total generality.
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Constructor.
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Constructor.
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Constructor.
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Build FaceElements that apply the Robin boundary condition to the pressure advection diffusion problem required by Fp preconditioner
Reimplemented from oomph::QTaylorHoodSpaceTimeElement< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::Pressure_advection_diffusion_robin_element_pt.
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Build FaceElements that apply the Robin boundary condition to the pressure advection diffusion problem required by Fp preconditioner
Reimplemented from oomph::QTaylorHoodSpaceTimeElement< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::Pressure_advection_diffusion_robin_element_pt.
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Build FaceElements that apply the Robin boundary condition to the pressure advection diffusion problem required by Fp preconditioner
Reimplemented from oomph::QTaylorHoodSpaceTimeElement< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::Pressure_advection_diffusion_robin_element_pt.
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Perform additional hanging node procedures for variables that are not interpolated by all nodes. The pressures are stored at the p_nodal_index_nst-th location in each node
Reimplemented from oomph::RefineableElement.
References oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst().
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Perform additional hanging node procedures for variables that are not interpolated by all nodes. The pressures are stored at the p_nodal_index_nst-th location in each node
Reimplemented from oomph::RefineableElement.
References oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst().
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Perform additional hanging node procedures for variables that are not interpolated by all nodes. The pressures are stored at the p_nodal_index_nst-th location in each node
Reimplemented from oomph::RefineableElement.
References oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst().
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Get the function value u in Vector. Note: Given the generality of the interface (this function is usually called from black-box documentation or interpolation routines), the values Vector sets its own size in here.
Implements oomph::RefineableElement.
References oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::get_interpolated_values(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, s, and plotPSD::t.
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Get the function value u in Vector. Note: Given the generality of the interface (this function is usually called from black-box documentation or interpolation routines), the values Vector sets its own size in here.
Implements oomph::RefineableElement.
References oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::get_interpolated_values(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, s, and plotPSD::t.
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Get the function value u in Vector. Note: Given the generality of the interface (this function is usually called from black-box documentation or interpolation routines), the values Vector sets its own size in here.
Implements oomph::RefineableElement.
References oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::get_interpolated_values(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, s, and plotPSD::t.
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Get the function value u in Vector. Note: Given the generality of the interface (this function is usually called from black-box documentation or interpolation routines), the values Vector sets its own size in here.
Reimplemented from oomph::RefineableElement.
References DIM, i, oomph::SpaceTimeNavierStokesEquations< DIM >::interpolated_p_nst(), and oomph::SpaceTimeNavierStokesEquations< DIM >::interpolated_u_nst().
Referenced by oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::get_interpolated_values().
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Get the function value u in Vector. Note: Given the generality of the interface (this function is usually called from black-box documentation or interpolation routines), the values Vector sets its own size in here.
Reimplemented from oomph::RefineableElement.
References DIM, i, oomph::SpaceTimeNavierStokesEquations< DIM >::interpolated_p_nst(), and oomph::SpaceTimeNavierStokesEquations< DIM >::interpolated_u_nst().
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Get the function value u in Vector. Note: Given the generality of the interface (this function is usually called from black-box documentation or interpolation routines), the values Vector sets its own size in here.
Reimplemented from oomph::RefineableElement.
References DIM, i, oomph::SpaceTimeNavierStokesEquations< DIM >::interpolated_p_nst(), and oomph::SpaceTimeNavierStokesEquations< DIM >::interpolated_u_nst().
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The velocity nodes are the same as the geometric nodes. The pressure nodes must be calculated by using the same methods as the geometric nodes, but by recalling that there are only two pressure nodes per edge.
Reimplemented from oomph::RefineableElement.
References DIM, oomph::FiniteElement::get_node_at_local_coordinate(), i, int(), oomph::FiniteElement::nnode_1d(), oomph::FiniteElement::Node_location_tolerance, Eigen::bfloat16_impl::pow(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt(), and s.
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The velocity nodes are the same as the geometric nodes. The pressure nodes must be calculated by using the same methods as the geometric nodes, but by recalling that there are only two pressure nodes per edge.
Reimplemented from oomph::RefineableElement.
References DIM, oomph::FiniteElement::get_node_at_local_coordinate(), i, int(), oomph::FiniteElement::nnode_1d(), oomph::FiniteElement::Node_location_tolerance, Eigen::bfloat16_impl::pow(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt(), and s.
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The velocity nodes are the same as the geometric nodes. The pressure nodes must be calculated by using the same methods as the geometric nodes, but by recalling that there are only two pressure nodes per edge.
Reimplemented from oomph::RefineableElement.
References DIM, oomph::FiniteElement::get_node_at_local_coordinate(), i, int(), oomph::FiniteElement::nnode_1d(), oomph::FiniteElement::Node_location_tolerance, Eigen::bfloat16_impl::pow(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt(), and s.
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Add to the set paired_load_data pairs containing
for all values (pressures, velocities) that affect the load computed in the get_load(...) function. (Overloads non-refineable version and takes hanging nodes into account)
Reimplemented from oomph::QTaylorHoodSpaceTimeElement< DIM >.
References DIM, oomph::Node::hanging_pt(), i, oomph::Node::is_hanging(), j, m, oomph::HangInfo::master_node_pt(), n, oomph::HangInfo::nmaster(), oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::npres_nst(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt(), and oomph::SpaceTimeNavierStokesEquations< DIM >::u_index_nst().
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Add to the set paired_load_data pairs containing
for all values (pressures, velocities) that affect the load computed in the get_load(...) function. (Overloads non-refineable version and takes hanging nodes into account)
Reimplemented from oomph::QTaylorHoodSpaceTimeElement< DIM >.
References DIM, oomph::Node::hanging_pt(), i, oomph::Node::is_hanging(), j, m, oomph::HangInfo::master_node_pt(), n, oomph::HangInfo::nmaster(), oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::npres_nst(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt(), and oomph::SpaceTimeNavierStokesEquations< DIM >::u_index_nst().
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Add to the set paired_load_data pairs containing
for all values (pressures, velocities) that affect the load computed in the get_load(...) function. (Overloads non-refineable version and takes hanging nodes into account)
Reimplemented from oomph::QTaylorHoodSpaceTimeElement< DIM >.
References DIM, oomph::Node::hanging_pt(), i, oomph::Node::is_hanging(), j, m, oomph::HangInfo::master_node_pt(), n, oomph::HangInfo::nmaster(), oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::npres_nst(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt(), and oomph::SpaceTimeNavierStokesEquations< DIM >::u_index_nst().
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The basis interpolating the pressure is given by pshape(). / The basis interpolating the velocity is shape().
Reimplemented from oomph::RefineableElement.
References DIM, oomph::QTaylorHoodSpaceTimeElement< DIM >::pshape_nst(), and oomph::FiniteElement::shape().
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The basis interpolating the pressure is given by pshape(). / The basis interpolating the velocity is shape().
Reimplemented from oomph::RefineableElement.
References DIM, oomph::QTaylorHoodSpaceTimeElement< DIM >::pshape_nst(), and oomph::FiniteElement::shape().
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The basis interpolating the pressure is given by pshape(). / The basis interpolating the velocity is shape().
Reimplemented from oomph::RefineableElement.
References DIM, oomph::QTaylorHoodSpaceTimeElement< DIM >::pshape_nst(), and oomph::FiniteElement::shape().
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The velocities are isoparametric and so the "nodes" interpolating the velocities are the geometric nodes. The pressure "nodes" are a subset of the nodes, so when value_id==DIM, the n-th pressure node is returned.
Reimplemented from oomph::RefineableElement.
References DIM, oomph::FiniteElement::node_pt(), and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt().
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The velocities are isoparametric and so the "nodes" interpolating the velocities are the geometric nodes. The pressure "nodes" are a subset of the nodes, so when value_id==DIM, the n-th pressure node is returned.
Reimplemented from oomph::RefineableElement.
References DIM, oomph::FiniteElement::node_pt(), and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt().
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The velocities are isoparametric and so the "nodes" interpolating the velocities are the geometric nodes. The pressure "nodes" are a subset of the nodes, so when value_id==DIM, the n-th pressure node is returned.
Reimplemented from oomph::RefineableElement.
References DIM, oomph::FiniteElement::node_pt(), and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt().
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The pressure nodes are the corner nodes, so when n_value==DIM, the fraction is the same as the 1D node number, 0 or 1.
Reimplemented from oomph::RefineableElement.
References DIM, i, and oomph::FiniteElement::local_one_d_fraction_of_node().
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The pressure nodes are the corner nodes, so when n_value==DIM, the fraction is the same as the 1D node number, 0 or 1.
Reimplemented from oomph::RefineableElement.
References DIM, i, and oomph::FiniteElement::local_one_d_fraction_of_node().
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The pressure nodes are the corner nodes, so when n_value==DIM, the fraction is the same as the 1D node number, 0 or 1.
Reimplemented from oomph::RefineableElement.
References DIM, i, and oomph::FiniteElement::local_one_d_fraction_of_node().
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The number of pressure nodes is 2^DIM. The number of velocity nodes is the same as the number of geometric nodes.
Reimplemented from oomph::RefineableElement.
References DIM, oomph::FiniteElement::nnode(), and Eigen::bfloat16_impl::pow().
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The number of pressure nodes is 2^DIM. The number of velocity nodes is the same as the number of geometric nodes.
Reimplemented from oomph::RefineableElement.
References DIM, oomph::FiniteElement::nnode(), and Eigen::bfloat16_impl::pow().
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The number of pressure nodes is 2^DIM. The number of velocity nodes is the same as the number of geometric nodes.
Reimplemented from oomph::RefineableElement.
References DIM, oomph::FiniteElement::nnode(), and Eigen::bfloat16_impl::pow().
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The number of 1D pressure nodes is 2, the number of 1D velocity nodes is the same as the number of 1D geometric nodes.
Reimplemented from oomph::RefineableElement.
References DIM, and oomph::FiniteElement::nnode_1d().
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The number of 1D pressure nodes is 2, the number of 1D velocity nodes is the same as the number of 1D geometric nodes.
Reimplemented from oomph::RefineableElement.
References DIM, and oomph::FiniteElement::nnode_1d().
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The number of 1D pressure nodes is 2, the number of 1D velocity nodes is the same as the number of 1D geometric nodes.
Reimplemented from oomph::RefineableElement.
References DIM, and oomph::FiniteElement::nnode_1d().
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Order of recovery shape functions for Z2 error estimation: Same order as shape functions.
Implements oomph::ElementWithZ2ErrorEstimator.
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Order of recovery shape functions for Z2 error estimation: Same order as shape functions.
Implements oomph::ElementWithZ2ErrorEstimator.
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Order of recovery shape functions for Z2 error estimation: Same order as shape functions.
Implements oomph::ElementWithZ2ErrorEstimator.
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Number of vertex nodes in the element.
Implements oomph::ElementWithZ2ErrorEstimator.
References oomph::FiniteElement::nvertex_node().
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Number of vertex nodes in the element.
Implements oomph::ElementWithZ2ErrorEstimator.
References oomph::FiniteElement::nvertex_node().
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Number of vertex nodes in the element.
Implements oomph::ElementWithZ2ErrorEstimator.
References oomph::FiniteElement::nvertex_node().
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Pin all nodal pressure dofs that are not required.
Reimplemented from oomph::RefineableSpaceTimeNavierStokesEquations< DIM >.
References oomph::Node::is_hanging(), n, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::npres_nst(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), oomph::Data::pin(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt(), and oomph::Data::unpin().
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inlineprivatevirtual |
Pin all nodal pressure dofs that are not required.
Reimplemented from oomph::RefineableSpaceTimeNavierStokesEquations< DIM >.
References oomph::Node::is_hanging(), n, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::npres_nst(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), oomph::Data::pin(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt(), and oomph::Data::unpin().
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inlineprivatevirtual |
Pin all nodal pressure dofs that are not required.
Reimplemented from oomph::RefineableSpaceTimeNavierStokesEquations< DIM >.
References oomph::Node::is_hanging(), n, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::npres_nst(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), oomph::Data::pin(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt(), and oomph::Data::unpin().
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inlinevirtual |
Pointer to n_p-th pressure node.
Reimplemented from oomph::RefineableSpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::node_pt(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::Pconv.
Referenced by oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::get_interpolating_node_at_local_coordinate(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::identify_load_data(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::interpolating_node_pt(), and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pin_elemental_redundant_nodal_pressure_dofs().
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inlinevirtual |
Pointer to n_p-th pressure node.
Reimplemented from oomph::RefineableSpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::node_pt(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::Pconv.
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inlinevirtual |
Pointer to n_p-th pressure node.
Reimplemented from oomph::RefineableSpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::node_pt(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::Pconv.
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inlinevirtual |
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inlinevirtual |
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inlinevirtual |
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inlinevirtual |
Number of values required at local node n. In order to simplify matters, we allocate storage for pressure variables at all the nodes and then pin those that are not used.
Reimplemented from oomph::QTaylorHoodSpaceTimeElement< DIM >.
References DIM.
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inlinevirtual |
Number of values required at local node n. In order to simplify matters, we allocate storage for pressure variables at all the nodes and then pin those that are not used.
Reimplemented from oomph::QTaylorHoodSpaceTimeElement< DIM >.
References DIM.
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inlinevirtual |
Number of values required at local node n. In order to simplify matters, we allocate storage for pressure variables at all the nodes and then pin those that are not used.
Reimplemented from oomph::QTaylorHoodSpaceTimeElement< DIM >.
References DIM.
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inlineprivatevirtual |
Unpin all pressure dofs.
Implements oomph::RefineableSpaceTimeNavierStokesEquations< DIM >.
References n, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), and oomph::Data::unpin().
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inlineprivatevirtual |
Unpin all pressure dofs.
Implements oomph::RefineableSpaceTimeNavierStokesEquations< DIM >.
References n, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), and oomph::Data::unpin().
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inlineprivatevirtual |
Unpin all pressure dofs.
Implements oomph::RefineableSpaceTimeNavierStokesEquations< DIM >.
References n, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), and oomph::Data::unpin().
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inlinevirtual |
Pointer to the j-th vertex node in the element.
Implements oomph::ElementWithZ2ErrorEstimator.
References j, and oomph::FiniteElement::vertex_node_pt().
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inlinevirtual |
Pointer to the j-th vertex node in the element.
Implements oomph::ElementWithZ2ErrorEstimator.
References j, and oomph::FiniteElement::vertex_node_pt().
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inlinevirtual |
Pointer to the j-th vertex node in the element.
Implements oomph::ElementWithZ2ErrorEstimator.
References j, and oomph::FiniteElement::vertex_node_pt().
1.9.1 