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#include <discontinuous_galerkin_equal_order_pressure_spacetime_navier_stokes_elements.h>
Inheritance diagram for oomph::QTaylorHoodSpaceTimeElement< DIM >:Public Member Functions | |
| QTaylorHoodSpaceTimeElement () | |
| Constructor, no internal data points. More... | |
| virtual unsigned | required_nvalue (const unsigned &n) const |
| 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 | 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... | |
| 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 () | |
| virtual unsigned | required_nvalue (const unsigned &n) const |
| 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 | 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... | |
| QTaylorHoodSpaceTimeElement () | |
| Constructor, no internal data points. More... | |
| virtual unsigned | required_nvalue (const unsigned &n) const |
| 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) |
| 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_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 () |
| virtual void | get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates) |
| 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 void | dinterpolated_u_nst_ddata (const Vector< double > &s, const unsigned &i, Vector< double > &du_ddata, Vector< unsigned > &global_eqn_number) |
| 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) |
| 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_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 () |
| virtual void | get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates) |
| 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 void | dinterpolated_u_nst_ddata (const Vector< double > &s, const unsigned &i, Vector< double > &du_ddata, Vector< unsigned > &global_eqn_number) |
| 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 () |
| virtual void | get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates) |
| 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 void | dinterpolated_u_nst_ddata (const Vector< double > &s, const unsigned &i, Vector< double > &du_ddata, Vector< unsigned > &global_eqn_number) |
| 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 | assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt) |
| 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 unsigned | nvertex_node () const |
| virtual Node * | vertex_node_pt (const unsigned &j) const |
| 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_field_data_for_interactions (std::set< std::pair< Data *, unsigned >> &paired_field_data) |
| 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... | |
Protected Member Functions | |
| 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_residual_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, const unsigned &flag) |
| virtual void | fill_in_generic_pressure_advection_diffusion_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag) |
| 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_residual_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, const unsigned &flag) |
| virtual void | fill_in_generic_pressure_advection_diffusion_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag) |
| 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_residual_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, const unsigned &flag) |
| virtual void | fill_in_generic_pressure_advection_diffusion_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag) |
| 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 | |
| virtual void | assemble_local_to_eulerian_jacobian (const DShape &dpsids, DenseMatrix< double > &jacobian) const |
| virtual void | assemble_local_to_eulerian_jacobian2 (const DShape &d2psids, DenseMatrix< double > &jacobian2) const |
| virtual void | assemble_eulerian_base_vectors (const DShape &dpsids, DenseMatrix< double > &interpolated_G) const |
| 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 double | local_to_eulerian_mapping_diagonal (const DShape &dpsids, DenseMatrix< double > &jacobian, 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 |
| virtual void | fill_in_jacobian_from_nodal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
| 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) |
Static Protected Attributes | |
| 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 |
Private Member Functions | |
| const unsigned | Initial_Nvalue [27] |
| const unsigned | Initial_Nvalue [27] |
| const unsigned | Initial_Nvalue [27] |
Static Private Attributes | |
| static const unsigned | Initial_Nvalue [] |
| Static array of ints to hold number of variables at node. More... | |
/////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////// Taylor-Hood elements are Navier-Stokes elements with quadratic interpolation for velocities and positions and continuous linear pressure interpolation. They can be used within oomph-lib's block-preconditioning framework.
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inline |
Constructor, no internal data points.
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inline |
Constructor, no internal data points.
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inline |
References oomph::FiniteElement::integral_pt().
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inline |
Constructor, no internal data points.
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inlinevirtual |
Build FaceElements that apply the Robin boundary condition to the pressure advection diffusion problem required by Fp preconditioner
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
Reimplemented in oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::Pressure_advection_diffusion_robin_element_pt.
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inlinevirtual |
Build FaceElements that apply the Robin boundary condition to the pressure advection diffusion problem required by Fp preconditioner
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
Reimplemented in oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::Pressure_advection_diffusion_robin_element_pt.
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inlinevirtual |
Build FaceElements that apply the Robin boundary condition to the pressure advection diffusion problem required by Fp preconditioner
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::Pressure_advection_diffusion_robin_element_pt.
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inlineprotectedvirtual |
Pressure shape and test functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry). Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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inlineprotectedvirtual |
2D (in space): Pressure shape and test functions and derivs w.r.t. to Eulerian coordinates. Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References s.
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inlineprotectedvirtual |
Pressure shape and test functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry). Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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inlineprotectedvirtual |
2D (in space): Pressure shape and test functions and derivs w.r.t. to Eulerian coordinates. Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References s.
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inlineprotectedvirtual |
Pressure shape and test functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry). Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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inlineprotectedvirtual |
2D (in space): Pressure shape and test functions and derivs w.r.t. to Eulerian coordinates. Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::OneDimLagrange::dshape< 2 >(), i, j, k, s, and oomph::OneDimLagrange::shape< 2 >().
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inlineprotectedvirtual |
Pressure shape functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry). Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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inlineprotectedvirtual |
2D (in space): Pressure shape and test functions and derivs w.r.t. to Eulerian coordinates. Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::OneDimLagrange::dshape< 2 >(), oomph::OneDimLagrange::dshape< 3 >(), i, j, k, s, oomph::OneDimLagrange::shape< 2 >(), and oomph::OneDimLagrange::shape< 3 >().
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inlineprotectedvirtual |
Pressure shape functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry). Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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inlineprotectedvirtual |
2D (in space): Pressure shape and test functions and derivs w.r.t. to Eulerian coordinates. Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::OneDimLagrange::dshape< 2 >(), i, j, k, s, and oomph::OneDimLagrange::shape< 2 >().
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Pressure test functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry). Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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2D (in space): Pressure shape and test functions and derivs w.r.t. to Eulerian coordinates. Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::OneDimLagrange::dshape< 2 >(), oomph::OneDimLagrange::dshape< 3 >(), i, j, k, s, oomph::OneDimLagrange::shape< 2 >(), oomph::OneDimLagrange::shape< 3 >(), test1(), and test2().
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Pressure test functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry). Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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2D (in space): Pressure shape and test functions and derivs w.r.t. to Eulerian coordinates. Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::OneDimLagrange::dshape< 2 >(), i, j, k, s, oomph::OneDimLagrange::shape< 2 >(), test1(), and test2().
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Shape/test functions and derivs w.r.t. to global coords at integration point ipt; return Jacobian of mapping (J). Also compute derivatives of dpsidx, dtestdx and J w.r.t. nodal coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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2D (in space): Define the shape functions (psi) and test functions (test) and their derivatives w.r.t. global coordinates (dpsidx and dtestdx) and return Jacobian of mapping (J). Additionally compute the derivatives of dpsidx, dtestdx and J w.r.t. nodal coordinates.
Galerkin: Test functions = shape functions
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References i, J, k, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, p, and Eigen::numext::q.
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Shape/test functions and derivs w.r.t. to global coords at integration point ipt; return Jacobian of mapping (J). Also compute derivatives of dpsidx, dtestdx and J w.r.t. nodal coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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2D (in space): Define the shape functions (psi) and test functions (test) and their derivatives w.r.t. global coordinates (dpsidx and dtestdx) and return Jacobian of mapping (J). Additionally compute the derivatives of dpsidx, dtestdx and J w.r.t. nodal coordinates.
Galerkin: Test functions = shape functions
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References i, J, k, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, p, and Eigen::numext::q.
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Shape/test functions and derivs w.r.t. to global coords at integration point ipt; return Jacobian of mapping (J). Also compute derivatives of dpsidx, dtestdx and J w.r.t. nodal coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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2D (in space): Define the shape functions (psi) and test functions (test) and their derivatives w.r.t. global coordinates (dpsidx and dtestdx) and return Jacobian of mapping (J). Additionally compute the derivatives of dpsidx, dtestdx and J w.r.t. nodal coordinates.
Galerkin: Test functions = shape functions
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References i, J, k, p, and Eigen::numext::q.
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Velocity shape and test functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry) Return Jacobian of mapping between local and global coordinates.
Derivatives of the shape functions and test functions w.r.t to global (Eulerian) coordinates. Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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Velocity shape and test functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry) Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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Velocity shape and test functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry) Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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Velocity shape and test functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry) Return Jacobian of mapping between local and global coordinates.
Derivatives of the shape functions and test functions w.r.t to global (Eulerian) coordinates. Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::OneDimLagrange::dshape< 3 >(), oomph::OneDimDiscontinuousGalerkin::dshape< 3 >(), el_dim, i, j, k, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, s, oomph::OneDimLagrange::shape< 3 >(), and oomph::OneDimDiscontinuousGalerkin::shape< 3 >().
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Velocity shape and test functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry) Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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Velocity shape and test functions and their derivs w.r.t. to global coords at local coordinate s (taken from geometry) Return Jacobian of mapping between local and global coordinates.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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Pin p_dof-th pressure dof and set it to value specified by p_value.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), oomph::Data::pin(), and oomph::Data::set_value().
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Pin p_dof-th pressure dof and set it to value specified by p_value.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), oomph::Data::pin(), and oomph::Data::set_value().
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Pin p_dof-th pressure dof and set it to value specified by p_value.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::node_pt(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), oomph::Data::pin(), and oomph::Data::set_value().
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Create a list of pairs for all unknowns in this element, so that the first entry in each pair contains the global equation number of the unknown, while the second one contains the number of the "DOF type" that this unknown is associated with. (Function can obviously only be called if the equation numbering scheme has been set up.) Velocity=0; Pressure=1
Create a list of pairs for all unknowns in this element, so the first entry in each pair contains the global equation number of the unknown, while the second one contains the number of the "DOF type" that this unknown is associated with. (Function can obviously only be called if the equation numbering scheme has been set up.)
Reimplemented from oomph::GeneralisedElement.
References n.
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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.
Implements oomph::FSIFluidElement.
Reimplemented in oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >.
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virtual |
Add to the set paired_load_data pairs containing
for all values (pressures, velocities) that affect the load computed in the get_load(...) function.
Implements oomph::FSIFluidElement.
Reimplemented in oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >.
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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.
Implements oomph::FSIFluidElement.
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Add to the set paired_pressure_data pairs containing
for all pressure values that affect the load computed in the get_load(...) function.
Add to the set paired_pressure_data pairs containing
for pressure values that affect the load computed in the get_load(...) function.,
Implements oomph::FSIFluidElement.
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Add to the set paired_pressure_data pairs containing
for all pressure values that affect the load computed in the get_load(...) function.
Implements oomph::FSIFluidElement.
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Add to the set paired_pressure_data pairs containing
for all pressure values that affect the load computed in the get_load(...) function.
Implements oomph::FSIFluidElement.
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//////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////
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//////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////
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//////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////
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Returns the number of "DOF types" that degrees of freedom in this element are sub-divided into: Velocity and pressure.
Reimplemented from oomph::GeneralisedElement.
References DIM.
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Return number of pressure values.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References DIM, and Eigen::bfloat16_impl::pow().
Referenced by oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::identify_load_data(), and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pin_elemental_redundant_nodal_pressure_dofs().
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Return number of pressure values.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References DIM, and Eigen::bfloat16_impl::pow().
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Return number of pressure values.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References DIM, and Eigen::bfloat16_impl::pow().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Redirect output to NavierStokesEquations output.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::SpaceTimeNavierStokesEquations< DIM >::output().
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Return the local equation numbers for the pressure values.
Implements oomph::TemplateFreeSpaceTimeNavierStokesEquationsBase.
References n, oomph::FiniteElement::nodal_local_eqn(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst().
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Return the local equation numbers for the pressure values.
Implements oomph::TemplateFreeSpaceTimeNavierStokesEquationsBase.
References n, oomph::FiniteElement::nodal_local_eqn(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst().
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Return the local equation numbers for the pressure values.
Implements oomph::TemplateFreeSpaceTimeNavierStokesEquationsBase.
References n, oomph::FiniteElement::nodal_local_eqn(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst().
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Set the value at which the pressure is stored in the nodes.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References DIM.
Referenced by oomph::QTaylorHoodSpaceTimeElement< DIM >::fix_pressure(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::further_setup_hanging_nodes(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::identify_load_data(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_local_eqn(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nst(), oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pin_elemental_redundant_nodal_pressure_dofs(), and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::unpin_elemental_pressure_dofs().
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Set the value at which the pressure is stored in the nodes.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References DIM.
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Set the value at which the pressure is stored in the nodes.
Reimplemented from oomph::SpaceTimeNavierStokesEquations< DIM >.
References DIM.
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Access function for the pressure values at local pressure node n_p (const version)
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::nodal_value(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst().
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Access function for the pressure values at local pressure node n_p (const version)
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::nodal_value(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst().
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Access function for the pressure values at local pressure node n_p (const version)
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::nodal_value(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst().
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Access function for the pressure values at local pressure node n_p (const version)
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::nodal_value(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::Pconv.
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Access function for the pressure values at local pressure node n_p (const version)
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::nodal_value(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::Pconv.
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Access function for the pressure values at local pressure node n_p (const version)
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References oomph::FiniteElement::nodal_value(), oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nodal_index_nst(), and oomph::QTaylorHoodSpaceTimeElement< DIM >::Pconv.
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protected |
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Pressure shape functions at local coordinate s.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
Referenced by oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::interpolating_basis().
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2D (in space): Pressure shape functions
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References i, j, k, s, oomph::OneDimLagrange::shape< 2 >(), and oomph::OneDimLagrange::shape< 3 >().
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Pressure shape functions at local coordinate s.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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2D (in space): Pressure shape functions
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References i, j, k, s, and oomph::OneDimLagrange::shape< 2 >().
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Pressure shape functions at local coordinate s.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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2D (in space): Pressure shape functions
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References i, j, k, s, and oomph::OneDimLagrange::shape< 2 >().
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inlinevirtual |
Pressure shape and test functions at local coordinte s.
Pressure shape and test functions.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
References s.
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inlinevirtual |
Pressure shape and test functions at local coordinte s.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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inlinevirtual |
Pressure shape and test functions at local coordinte s.
Implements oomph::SpaceTimeNavierStokesEquations< DIM >.
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inline |
Pressure test functions at local coordinate s.
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inline |
Pressure test functions at local coordinate s.
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inline |
2D (in space): Pressure shape functions
References i, j, k, s, oomph::OneDimLagrange::shape< 2 >(), oomph::OneDimLagrange::shape< 3 >(), test1(), and test2().
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inline |
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inlinevirtual |
Number of values (pinned or dofs) required at node n. Can be overwritten for hanging node version
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >.
References oomph::QTaylorHoodSpaceTimeElement< DIM >::Initial_Nvalue, and n.
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inlinevirtual |
Number of values (pinned or dofs) required at node n. Can be overwritten for hanging node version
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >.
References n.
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inlinevirtual |
Number of values (pinned or dofs) required at node n. Can be overwritten for hanging node version
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >, and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >.
References oomph::QTaylorHoodSpaceTimeElement< DIM >::Initial_Nvalue, and n.
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staticprivate |
Static array of ints to hold number of variables at node.
Referenced by oomph::QTaylorHoodSpaceTimeElement< DIM >::required_nvalue().
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staticprotected |
Static array of ints to hold conversion from pressure node numbers to actual node numbers
Referenced by oomph::QTaylorHoodSpaceTimeElement< DIM >::p_nst(), and oomph::RefineableQTaylorHoodSpaceTimeElement< DIM >::pressure_node_pt().
1.9.1 