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#include <linearised_axisym_navier_stokes_elements.h>
Inheritance diagram for oomph::LinearisedAxisymmetricNavierStokesEquations:Public Member Functions | |
| LinearisedAxisymmetricNavierStokesEquations () | |
| const double & | re () const |
| Reynolds number. More... | |
| const double & | re_st () const |
| Product of Reynolds and Strouhal number (=Womersley number) More... | |
| const int & | azimuthal_mode_number () const |
| Azimuthal mode number k in e^ik(theta) decomposition. More... | |
| double *& | re_pt () |
| Pointer to Reynolds number. More... | |
| double *& | re_st_pt () |
| Pointer to product of Reynolds and Strouhal number (=Womersley number) More... | |
| int *& | azimuthal_mode_number_pt () |
| Pointer to azimuthal mode number k in e^ik(theta) decomposition. More... | |
| const double & | viscosity_ratio () const |
| double *& | viscosity_ratio_pt () |
| Pointer to the viscosity ratio. More... | |
| const double & | density_ratio () const |
| double *& | density_ratio_pt () |
| Pointer to the density ratio. More... | |
| virtual unsigned | npres_linearised_axi_nst () const =0 |
| virtual unsigned | u_index_linearised_axi_nst (const unsigned &i) const |
| double | du_dt_linearised_axi_nst (const unsigned &n, const unsigned &i) const |
| void | disable_ALE () |
| void | enable_ALE () |
| virtual double | p_linearised_axi_nst (const unsigned &n_p, const unsigned &i) const =0 |
| virtual int | p_index_linearised_axi_nst (const unsigned &i) const |
| Which nodal value represents the pressure? More... | |
| void | strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const |
| void | output (std::ostream &outfile) |
| void | output (std::ostream &outfile, const unsigned &nplot) |
| void | output (FILE *file_pt) |
| void | output (FILE *file_pt, const unsigned &nplot) |
| void | output_veloc (std::ostream &outfile, const unsigned &nplot, const unsigned &t) |
| 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) |
| double | interpolated_u_linearised_axi_nst (const Vector< double > &s, const unsigned &i) const |
| double | interpolated_p_linearised_axi_nst (const Vector< double > &s, const unsigned &i) const |
| virtual void | get_base_flow_u (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &result) const |
| LinearisedAxisymmetricNavierStokesEquations () | |
| const double & | re () const |
| Reynolds number. More... | |
| double *& | re_pt () |
| Pointer to Reynolds number. More... | |
| const double & | re_st () const |
| Product of Reynolds and Strouhal number (=Womersley number) More... | |
| double *& | re_st_pt () |
| Pointer to product of Reynolds and Strouhal number (=Womersley number) More... | |
| const double & | re_invfr () const |
| Global inverse Froude number. More... | |
| double *& | re_invfr_pt () |
| Pointer to global inverse Froude number. More... | |
| const double & | re_invro () const |
| Global Reynolds number multiplied by inverse Rossby number. More... | |
| double *& | re_invro_pt () |
| Pointer to global Reynolds number multiplied by inverse Rossby number. More... | |
| const Vector< double > & | g () const |
| Vector of gravitational components. More... | |
| Vector< double > *& | g_pt () |
| Pointer to Vector of gravitational components. More... | |
| const int & | azimuthal_mode_number () const |
| Azimuthal mode number k in e^ik(theta) decomposition. More... | |
| int *& | azimuthal_mode_number_pt () |
| Pointer to azimuthal mode number k in e^ik(theta) decomposition. More... | |
| const double & | viscosity_ratio () const |
| double *& | viscosity_ratio_pt () |
| Pointer to the viscosity ratio. More... | |
| const double & | density_ratio () const |
| double *& | density_ratio_pt () |
| Pointer to the density ratio. More... | |
| virtual int | get_local_eqn_number_corresponding_to_geometric_dofs (const unsigned &n, const unsigned &i)=0 |
| virtual unsigned | npres_lin_axi_nst () const =0 |
| virtual unsigned | xhat_index_lin_axi_nst (const unsigned &i) const |
| virtual unsigned | u_index_lin_axi_nst (const unsigned &i) const |
| double | du_dt_lin_axi_nst (const unsigned &n, const unsigned &i) const |
| double | dnodal_position_perturbation_dt_lin_axi_nst (const unsigned &n, const unsigned &i) const |
| unsigned | nexternal_H_data () |
| Return the number of external perturbed spine "heights" data. More... | |
| void | disable_ALE () |
| void | enable_ALE () |
| virtual double | p_lin_axi_nst (const unsigned &n_p, const unsigned &i) const =0 |
| virtual int | p_index_lin_axi_nst (const unsigned &i) const |
| Which nodal value represents the pressure? More... | |
| void | dkin_energy_dt (double &dkin_en_dt, double &kin_en) const |
| Get integral of kinetic energy over element plus deriv w.r.t. time. More... | |
| void | strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const |
| void | output (std::ostream &outfile) |
| void | output (std::ostream &outfile, const unsigned &nplot) |
| void | output (FILE *file_pt) |
| void | output (FILE *file_pt, const unsigned &nplot) |
| void | output_veloc (std::ostream &outfile, const unsigned &nplot, const unsigned &t) |
| 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) |
| double | interpolated_u_lin_axi_nst (const Vector< double > &s, const unsigned &i) const |
| double | interpolated_p_lin_axi_nst (const Vector< double > &s, const unsigned &i) const |
| double | interpolated_nodal_position_perturbation_lin_axi_nst (const Vector< double > &s, const unsigned &i) const |
| void | assign_additional_local_eqn_numbers () |
| Define the local equation numbering schemes. More... | |
| LinearisedAxisymmetricNavierStokesEquations () | |
| const double & | re () const |
| Reynolds number. More... | |
| const double & | re_st () const |
| Product of Reynolds and Strouhal number (=Womersley number) More... | |
| const int & | azimuthal_mode_number () const |
| Azimuthal mode number k in e^ik(theta) decomposition. More... | |
| double *& | re_pt () |
| Pointer to Reynolds number. More... | |
| double *& | re_st_pt () |
| Pointer to product of Reynolds and Strouhal number (=Womersley number) More... | |
| int *& | azimuthal_mode_number_pt () |
| Pointer to azimuthal mode number k in e^ik(theta) decomposition. More... | |
| const double & | viscosity_ratio () const |
| double *& | viscosity_ratio_pt () |
| Pointer to the viscosity ratio. More... | |
| const double & | density_ratio () const |
| double *& | density_ratio_pt () |
| Pointer to the density ratio. More... | |
| virtual unsigned | npres_linearised_axi_nst () const =0 |
| virtual unsigned | u_index_linearised_axi_nst (const unsigned &i) const |
| double | du_dt_linearised_axi_nst (const unsigned &n, const unsigned &i) const |
| void | disable_ALE () |
| void | enable_ALE () |
| virtual double | p_linearised_axi_nst (const unsigned &n_p, const unsigned &i) const =0 |
| virtual int | p_index_linearised_axi_nst (const unsigned &i) const |
| Which nodal value represents the pressure? More... | |
| void | strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const |
| void | output (std::ostream &outfile) |
| void | output (std::ostream &outfile, const unsigned &nplot) |
| void | output (FILE *file_pt) |
| void | output (FILE *file_pt, const unsigned &nplot) |
| void | output_veloc (std::ostream &outfile, const unsigned &nplot, const unsigned &t) |
| 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) |
| double | interpolated_u_linearised_axi_nst (const Vector< double > &s, const unsigned &i) const |
| double | interpolated_p_linearised_axi_nst (const Vector< double > &s, const unsigned &i) const |
| 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 |
| virtual void | get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates) |
| virtual unsigned | required_nvalue (const unsigned &n) 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 |
| virtual void | point_output_data (const Vector< double > &s, Vector< double > &data) |
| 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 unsigned | nscalar_paraview () const |
| virtual void | scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) 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 | scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const |
| virtual std::string | scalar_name_paraview (const unsigned &i) 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, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) |
| Output an exact solution over the element. More... | |
| virtual void | output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) |
| Output a time-dependent exact solution over the element. More... | |
| 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, double &error, double &norm) |
| Calculate the norm of the error and that of the exact solution. More... | |
| virtual void | compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm) |
| Calculate the norm of the error and that of the exact solution. More... | |
| 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, double &error, double &norm) |
| virtual void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm) |
| virtual void | compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm) |
| virtual void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, 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 (Vector< double > &norm) |
| virtual void | compute_norm (double &norm) |
| virtual unsigned | ndof_types () const |
| virtual void | get_dof_numbers_for_unknowns (std::list< std::pair< unsigned long, unsigned >> &dof_lookup_list) const |
| 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 Attributes | |
| void(*&)(const double &time, const Vector< double > &x, Vector< double > &f) | base_flow_u_fct_pt () |
| Access function for the base flow solution pointer. More... | |
| void(*&)(const double &time, const Vector< double > &x, DenseMatrix< double > &f) | base_flow_dudx_fct_pt () |
| void(*&)(const double &time, const Vector< double > &x, Vector< double > &f) | base_flow_dudt_fct_pt () |
| void(*&)(const double &time, const Vector< double > &x, double &f) | base_flow_p_fct_pt () |
| Access function for the base flow pressure pointer. More... | |
| void(*&)(const double &time, const Vector< double > &x, RankFourTensor< double > &f) | base_flow_d_dudx_dX_fct_pt () |
| void(*&)(const double &time, const Vector< double > &x, Vector< double > &f) | body_force_fct_pt () |
| Access function for the body-force pointer. More... | |
| double(*&)(const double &time, const Vector< double > &x) | source_fct_pt () |
| Access function for the source-function pointer. More... | |
| void(*&)(const double &time, const Vector< double > &x, DenseMatrix< double > &f) | base_flow_duds_fct_pt () |
Static Public Attributes | |
| static Vector< double > | Gamma |
| Vector to decide whether the stress-divergence form is used or not. More... | |
| Static Public Attributes inherited from oomph::FiniteElement | |
| static double | Tolerance_for_singular_jacobian = 1.0e-16 |
| Tolerance below which the jacobian is considered singular. More... | |
| static bool | Accept_negative_jacobian = false |
| static bool | Suppress_output_while_checking_for_inverted_elements |
| Static Public Attributes inherited from oomph::GeneralisedElement | |
| static bool | Suppress_warning_about_repeated_internal_data |
| static bool | Suppress_warning_about_repeated_external_data = true |
| static double | Default_fd_jacobian_step = 1.0e-8 |
Protected Member Functions | |
| virtual int | p_local_eqn (const unsigned &n, const unsigned &i)=0 |
| virtual double | dshape_and_dtest_eulerian_linearised_axi_nst (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const =0 |
| virtual double | dshape_and_dtest_eulerian_at_knot_linearised_axi_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const =0 |
| virtual void | pshape_linearised_axi_nst (const Vector< double > &s, Shape &psi) const =0 |
| Compute the pressure shape functions at local coordinate s. More... | |
| virtual void | pshape_linearised_axi_nst (const Vector< double > &s, Shape &psi, Shape &test) const =0 |
| Compute the pressure shape and test functions at local coordinate s. More... | |
| virtual void | get_base_flow_u (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &result) const |
| virtual void | get_base_flow_dudx (const double &time, const unsigned &ipt, const Vector< double > &x, DenseMatrix< double > &result) const |
| virtual void | fill_in_generic_residual_contribution_linearised_axi_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, unsigned flag) |
| virtual int | p_local_eqn (const unsigned &n, const unsigned &i)=0 |
| virtual double | dshape_and_dtest_eulerian_lin_axi_nst (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const =0 |
| virtual double | dshape_and_dtest_eulerian_at_knot_lin_axi_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const =0 |
| virtual double | dshape_and_dtest_eulerian_and_dnodal_coordinates_at_knot_lin_axi_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 =0 |
| virtual void | pshape_lin_axi_nst (const Vector< double > &s, Shape &psi) const =0 |
| Compute the pressure shape functions at local coordinate s. More... | |
| virtual void | pshape_lin_axi_nst (const Vector< double > &s, Shape &psi, Shape &test) const =0 |
| Compute the pressure shape and test functions at local coordinate s. More... | |
| virtual void | get_base_flow_dudx (const double &time, const unsigned &ipt, const Vector< double > &x, DenseMatrix< double > &result) const |
| virtual void | get_base_flow_dudt (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &result) const |
| virtual void | get_base_flow_p (const double &time, const unsigned &ipt, const Vector< double > &x, double &result) const |
| virtual void | get_base_flow_d_dudx_dX (const double &time, const unsigned &ipt, const Vector< double > &x, RankFourTensor< double > &result) const |
| void | get_body_force_base_flow (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &result) |
| double | get_source_base_flow (const double &time, const unsigned &ipt, const Vector< double > &x) |
| void | get_body_force_gradient_base_flow (const double &time, const unsigned &ipt, const Vector< double > &x, DenseMatrix< double > &result) |
| void | get_source_gradient_base_flow (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &result) |
| virtual void | get_base_flow_duds (const double &time, const unsigned &ipt, const Vector< double > &x, DenseMatrix< double > &result) const |
| virtual void | fill_in_generic_residual_contribution_lin_axi_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, unsigned flag) |
| virtual int | p_local_eqn (const unsigned &n, const unsigned &i)=0 |
| virtual double | dshape_and_dtest_eulerian_linearised_axi_nst (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const =0 |
| virtual double | dshape_and_dtest_eulerian_at_knot_linearised_axi_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const =0 |
| virtual void | pshape_linearised_axi_nst (const Vector< double > &s, Shape &psi) const =0 |
| Compute the pressure shape functions at local coordinate s. More... | |
| virtual void | pshape_linearised_axi_nst (const Vector< double > &s, Shape &psi, Shape &test) const =0 |
| Compute the pressure shape and test functions at local coordinate s. More... | |
| virtual void | get_base_flow_u (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &result) const |
| virtual void | get_base_flow_dudx (const double &time, const unsigned &ipt, const Vector< double > &x, DenseMatrix< double > &result) const |
| virtual void | fill_in_generic_residual_contribution_linearised_axi_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, unsigned flag) |
| 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) |
| 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_dresiduals_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam) |
| virtual void | fill_in_contribution_to_djacobian_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam) |
| virtual 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) |
| virtual void | fill_in_contribution_to_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product) |
| virtual void | fill_in_contribution_to_inner_products (Vector< std::pair< unsigned, unsigned >> const &history_index, Vector< double > &inner_product) |
| virtual void | fill_in_contribution_to_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double >> &inner_product_vector) |
Protected Attributes | |
| double * | Viscosity_Ratio_pt |
| double * | Density_Ratio_pt |
| double * | Re_pt |
| Pointer to global Reynolds number. More... | |
| double * | ReSt_pt |
| Pointer to global Reynolds number x Strouhal number (=Womersley) More... | |
| int * | Azimuthal_Mode_Number_pt |
| Pointer to azimuthal mode number k in e^ik(theta) decomposition. More... | |
| void(* | Base_flow_u_fct_pt )(const double &time, const Vector< double > &x, Vector< double > &result) |
| Pointer to base flow solution (velocity components) function. More... | |
| void(* | Base_flow_dudx_fct_pt )(const double &time, const Vector< double > &x, DenseMatrix< double > &result) |
| bool | ALE_is_disabled |
| double * | ReInvFr_pt |
| double * | ReInvRo_pt |
| Vector< double > * | G_pt |
| Pointer to global gravity Vector. More... | |
| void(* | Base_flow_dudt_fct_pt )(const double &time, const Vector< double > &x, Vector< double > &result) |
| void(* | Base_flow_p_fct_pt )(const double &time, const Vector< double > &x, double &result) |
| Pointer to base flow solution (pressure) function. More... | |
| void(* | Base_flow_d_dudx_dX_fct_pt )(const double &time, const Vector< double > &x, RankFourTensor< double > &result) |
| void(* | Body_force_fct_pt )(const double &time, const Vector< double > &x, Vector< double > &result) |
| Pointer to (base flow) body force function. More... | |
| double(* | Source_fct_pt )(const double &time, const Vector< double > &x) |
| Pointer to (base flow) volumetric source function. More... | |
| void(* | Base_flow_duds_fct_pt )(const double &time, const Vector< double > &x, DenseMatrix< double > &result) |
| Vector< int > | External_H_local_eqn |
| Vector< unsigned > | External_node |
| Protected Attributes inherited from oomph::FiniteElement | |
| MacroElement * | Macro_elem_pt |
| Pointer to the element's macro element (NULL by default) More... | |
| Protected Attributes inherited from oomph::GeomObject | |
| unsigned | NLagrangian |
| Number of Lagrangian (intrinsic) coordinates. More... | |
| unsigned | Ndim |
| Number of Eulerian coordinates. More... | |
| TimeStepper * | Geom_object_time_stepper_pt |
Static Private Attributes | |
| static int | Pressure_not_stored_at_node |
| static double | Default_Physical_Constant_Value |
| static int | Default_Azimuthal_Mode_Number_Value |
| Static default value for the azimuthal mode number (zero) More... | |
| static double | Default_Physical_Ratio_Value |
| Static default value for the physical ratios (all initialised to one) More... | |
| static Vector< double > | Default_Gravity_Vector |
| Static default value for the gravity vector (zero) More... | |
Additional Inherited Members | |
| Public Types inherited from oomph::FiniteElement | |
| typedef void(* | SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &) |
| typedef void(* | UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &) |
| Static 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 |
A class for elements that solve the linearised unsteady axisymmetric Navier–Stokes equations in cylindrical polar coordinates, \( x_0^* = r^*\) and \( x_1^* = z^* \) with \( \partial / \partial \theta = 0 \). We're solving for the radial, axial and azimuthal (swirl) velocities, \( u_0^* = u_r^*(r^*,z^*,t^*) = u^*(r^*,z^*,t^*), \ u_1^* = u_z^*(r^*,z^*,t^*) = w^*(r^*,z^*,t^*)\) and \( u_2^* = u_\theta^*(r^*,z^*,t^*) = v^*(r^*,z^*,t^*) \), respectively, and the pressure \( p(r^*,z^*,t^*) \).
A class for elements that solve the linearised version of the unsteady Navier–Stokes equations in cylindrical polar coordinates, where we have Fourier-decomposed in the azimuthal direction so that the theta-dependance is replaced by an azimuthal mode number.
|
inline |
Constructor: NULL the base flow solution and the derivatives of the base flow function
References Azimuthal_Mode_Number_pt, Default_Azimuthal_Mode_Number_Value, Default_Physical_Constant_Value, Default_Physical_Ratio_Value, Density_Ratio_pt, Re_pt, ReSt_pt, and Viscosity_Ratio_pt.
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Constructor: NULL the base flow solution and the derivatives of the base flow function, as well as the base flow body force and volumetric source function pointers
References Azimuthal_Mode_Number_pt, Default_Azimuthal_Mode_Number_Value, Default_Gravity_Vector, Default_Physical_Constant_Value, Default_Physical_Ratio_Value, Density_Ratio_pt, G_pt, Re_pt, ReInvFr_pt, ReInvRo_pt, ReSt_pt, and Viscosity_Ratio_pt.
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Constructor: NULL the base flow solution and the derivatives of the base flow function
References Azimuthal_Mode_Number_pt, Default_Azimuthal_Mode_Number_Value, Default_Physical_Constant_Value, Default_Physical_Ratio_Value, Density_Ratio_pt, Re_pt, ReSt_pt, and Viscosity_Ratio_pt.
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Define the local equation numbering schemes.
Reimplemented from oomph::GeneralisedElement.
References e(), External_H_local_eqn, oomph::GeneralisedElement::external_local_eqn(), and nexternal_H_data().
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Azimuthal mode number k in e^ik(theta) decomposition.
References Azimuthal_Mode_Number_pt.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), fill_in_generic_residual_contribution_linearised_axi_nst(), oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst(), and strain_rate().
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Azimuthal mode number k in e^ik(theta) decomposition.
References Azimuthal_Mode_Number_pt.
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Azimuthal mode number k in e^ik(theta) decomposition.
References Azimuthal_Mode_Number_pt.
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Pointer to azimuthal mode number k in e^ik(theta) decomposition.
References Azimuthal_Mode_Number_pt.
Referenced by oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::further_build().
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Pointer to azimuthal mode number k in e^ik(theta) decomposition.
References Azimuthal_Mode_Number_pt.
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Pointer to azimuthal mode number k in e^ik(theta) decomposition.
References Azimuthal_Mode_Number_pt.
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Density ratio for element: element's density relative to the viscosity used in the definition of the Reynolds number
References Density_Ratio_pt.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), fill_in_generic_residual_contribution_linearised_axi_nst(), and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst().
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Density ratio for element: element's density relative to the viscosity used in the definition of the Reynolds number
References Density_Ratio_pt.
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Density ratio for element: element's density relative to the viscosity used in the definition of the Reynolds number
References Density_Ratio_pt.
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Pointer to the density ratio.
References Density_Ratio_pt.
Referenced by oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::further_build().
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inline |
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Disable ALE, i.e. assert the mesh is not moving – you do this at your own risk!
Reimplemented from oomph::FiniteElement.
References ALE_is_disabled.
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inlinevirtual |
Disable ALE, i.e. assert the mesh is not moving – you do this at your own risk!
Reimplemented from oomph::FiniteElement.
References ALE_is_disabled.
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inlinevirtual |
Disable ALE, i.e. assert the mesh is not moving – you do this at your own risk!
Reimplemented from oomph::FiniteElement.
References ALE_is_disabled.
| void oomph::LinearisedAxisymmetricNavierStokesEquations::dkin_energy_dt | ( | double & | dkin_en_dt, |
| double & | kin_en | ||
| ) | const |
Get integral of kinetic energy over element plus deriv w.r.t. time.
Get integral of kinetic energy over element. Also return the derivative of the integral of the kinetic energy w.r.t. time. Note that this is the "raw" kinetic energy in the sense that the density ratio has not been included. In problems with two or more fluids the user will have to remember to premultiply certain elements by the appropriate density ratio. ratio.
References oomph::FiniteElement::dnodal_position_dt(), oomph::FiniteElement::dshape_local_at_knot(), du_dt_lin_axi_nst(), i, oomph::FiniteElement::integral_pt(), J, j, oomph::FiniteElement::J_eulerian(), oomph::Integral::knot(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_position(), oomph::FiniteElement::nodal_value(), oomph::Integral::nweight(), s, u_index_lin_axi_nst(), w, and oomph::Integral::weight().
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Return the i-th component of dnodal_xhat/dt at local node n. Uses suitably interpolated value for hanging nodes.
References i, oomph::TimeStepper::is_steady(), n, oomph::FiniteElement::nodal_value(), oomph::FiniteElement::node_pt(), oomph::TimeStepper::ntstorage(), oomph::Node::position_time_stepper_pt(), plotPSD::t, oomph::GeomObject::time_stepper_pt(), oomph::TimeStepper::weight(), and xhat_index_lin_axi_nst().
Referenced by fill_in_generic_residual_contribution_lin_axi_nst().
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protectedpure virtual |
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.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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protectedpure virtual |
Compute the shape functions and their derivatives w.r.t. global coordinates at the ipt-th integration point. Return Jacobian of mapping between local and global coordinates.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst().
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protectedpure virtual |
Compute the shape functions and their derivatives w.r.t. global coordinates at the ipt-th integration point. Return Jacobian of mapping between local and global coordinates.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
Referenced by fill_in_generic_residual_contribution_linearised_axi_nst(), and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst().
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Compute the shape functions and their derivatives w.r.t. global coordinates at the ipt-th integration point. Return Jacobian of mapping between local and global coordinates.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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Compute the shape functions and their derivatives w.r.t. global coordinates at local coordinate s. Return Jacobian of mapping between local and global coordinates.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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protectedpure virtual |
Compute the shape functions and their derivatives w.r.t. global coordinates at local coordinate s. Return Jacobian of mapping between local and global coordinates.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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Compute the shape functions and their derivatives w.r.t. global coordinates at local coordinate s. Return Jacobian of mapping between local and global coordinates.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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Return the i-th component of du/dt at local node n. Uses suitably interpolated value for hanging nodes.
References i, oomph::TimeStepper::is_steady(), n, oomph::FiniteElement::nodal_value(), oomph::FiniteElement::node_pt(), oomph::TimeStepper::ntstorage(), plotPSD::t, oomph::GeomObject::time_stepper_pt(), oomph::Data::time_stepper_pt(), u_index_lin_axi_nst(), and oomph::TimeStepper::weight().
Referenced by dkin_energy_dt(), and fill_in_generic_residual_contribution_lin_axi_nst().
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Return the i-th component of du/dt at local node n. Uses suitably interpolated value for hanging nodes.
References i, oomph::TimeStepper::is_steady(), n, oomph::FiniteElement::nodal_value(), oomph::FiniteElement::node_pt(), oomph::TimeStepper::ntstorage(), plotPSD::t, oomph::GeomObject::time_stepper_pt(), oomph::Data::time_stepper_pt(), u_index_linearised_axi_nst(), and oomph::TimeStepper::weight().
Referenced by fill_in_generic_residual_contribution_linearised_axi_nst(), and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst().
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Return the i-th component of du/dt at local node n. Uses suitably interpolated value for hanging nodes.
References i, oomph::TimeStepper::is_steady(), n, oomph::FiniteElement::nodal_value(), oomph::FiniteElement::node_pt(), oomph::TimeStepper::ntstorage(), plotPSD::t, oomph::GeomObject::time_stepper_pt(), oomph::Data::time_stepper_pt(), u_index_linearised_axi_nst(), and oomph::TimeStepper::weight().
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(Re-)enable ALE, i.e. take possible mesh motion into account when evaluating the time-derivative. Note: By default, ALE is enabled, at the expense of possibly creating unnecessary work in problems where the mesh is, in fact, stationary.
Reimplemented from oomph::FiniteElement.
References ALE_is_disabled.
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(Re-)enable ALE, i.e. take possible mesh motion into account when evaluating the time-derivative. Note: By default, ALE is enabled, at the expense of possibly creating unnecessary work in problems where the mesh is, in fact, stationary.
Reimplemented from oomph::FiniteElement.
References ALE_is_disabled.
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inlinevirtual |
(Re-)enable ALE, i.e. take possible mesh motion into account when evaluating the time-derivative. Note: By default, ALE is enabled, at the expense of possibly creating unnecessary work in problems where the mesh is, in fact, stationary.
Reimplemented from oomph::FiniteElement.
References ALE_is_disabled.
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inlinevirtual |
Compute the element's residual Vector and the jacobian matrix. Virtual function can be overloaded by hanging-node version.
Reimplemented from oomph::GeneralisedElement.
Reimplemented in RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, LinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, and LinearisedAxisymmetricQTaylorHoodMultiDomainElement.
References oomph::GeneralisedElement::Dummy_matrix, and fill_in_generic_residual_contribution_linearised_axi_nst().
Referenced by LinearisedAxisymmetricQTaylorHoodMultiDomainElement::fill_in_contribution_to_jacobian(), LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement::fill_in_contribution_to_jacobian(), RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement::fill_in_contribution_to_jacobian(), and RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement::fill_in_contribution_to_jacobian().
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inlinevirtual |
Compute the element's residual Vector and the jacobian matrix. Virtual function can be overloaded by hanging-node version.
Reimplemented from oomph::GeneralisedElement.
Reimplemented in RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, LinearisedAxisymmetricQTaylorHoodMultiDomainElement, and LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement.
References oomph::GeneralisedElement::Dummy_matrix, and fill_in_generic_residual_contribution_lin_axi_nst().
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inlinevirtual |
Compute the element's residual Vector and the jacobian matrix. Virtual function can be overloaded by hanging-node version.
Reimplemented from oomph::FiniteElement.
Reimplemented in RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, and LinearisedAxisymmetricQTaylorHoodMultiDomainElement.
References oomph::GeneralisedElement::Dummy_matrix, and fill_in_generic_residual_contribution_linearised_axi_nst().
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inlinevirtual |
Add the element's contribution to its residuals vector, jacobian matrix and mass matrix
Reimplemented from oomph::GeneralisedElement.
References fill_in_generic_residual_contribution_linearised_axi_nst().
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inlinevirtual |
Add the element's contribution to its residuals vector, jacobian matrix and mass matrix
Reimplemented from oomph::GeneralisedElement.
References fill_in_generic_residual_contribution_lin_axi_nst().
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inlinevirtual |
Add the element's contribution to its residuals vector, jacobian matrix and mass matrix
Reimplemented from oomph::GeneralisedElement.
References fill_in_generic_residual_contribution_linearised_axi_nst().
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inlinevirtual |
Compute the element's residual Vector.
Reimplemented from oomph::GeneralisedElement.
References oomph::GeneralisedElement::Dummy_matrix, and fill_in_generic_residual_contribution_linearised_axi_nst().
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inlinevirtual |
Compute the element's residual Vector.
Reimplemented from oomph::GeneralisedElement.
References oomph::GeneralisedElement::Dummy_matrix, and fill_in_generic_residual_contribution_lin_axi_nst().
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inlinevirtual |
Compute the element's residual Vector.
Reimplemented from oomph::GeneralisedElement.
References oomph::GeneralisedElement::Dummy_matrix, and fill_in_generic_residual_contribution_linearised_axi_nst().
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protectedvirtual |
Compute the residuals for the Navier-Stokes equations; flag=1(or 0): do (or don't) compute the Jacobian as well.
Compute the residuals for the linearised axisymmetric Navier–Stokes equations; flag=1(or 0): do (or don't) compute the Jacobian as well.
References a, ALE_is_disabled, azimuthal_mode_number(), Global_Parameters::body_force(), density_ratio(), dnodal_position_perturbation_dt_lin_axi_nst(), dshape_and_dtest_eulerian_at_knot_lin_axi_nst(), oomph::FiniteElement::dshape_local_at_knot(), du_dt_lin_axi_nst(), oomph::PerturbedSpineNode::fraction(), G, g(), Gamma, get_base_flow_duds(), get_base_flow_dudt(), get_base_flow_dudx(), get_base_flow_p(), get_base_flow_u(), get_body_force_base_flow(), get_local_eqn_number_corresponding_to_geometric_dofs(), get_source_base_flow(), i, oomph::FiniteElement::integral_pt(), oomph::FiniteElement::interpolated_x(), j, k, oomph::Integral::knot(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nnode_1d(), oomph::FiniteElement::nodal_local_eqn(), oomph::FiniteElement::node_pt(), oomph::PerturbedSpineNode::node_update_fct_id(), npres_lin_axi_nst(), oomph::Integral::nweight(), OOMPH_EXCEPTION_LOCATION, p_lin_axi_nst(), p_local_eqn(), oomph::Node::position_time_stepper_pt(), pshape_lin_axi_nst(), UniformPSDSelfTest::r, oomph::FiniteElement::raw_dnodal_position_dt(), oomph::FiniteElement::raw_nodal_position(), oomph::FiniteElement::raw_nodal_value(), re(), re_invfr(), re_st(), s, TestProblem::source(), oomph::TimeStepper::time(), oomph::Data::time_stepper_pt(), u_index_lin_axi_nst(), viscosity_ratio(), w, oomph::Integral::weight(), oomph::TimeStepper::weight(), and xhat_index_lin_axi_nst().
Referenced by fill_in_contribution_to_jacobian(), fill_in_contribution_to_jacobian_and_mass_matrix(), and fill_in_contribution_to_residuals().
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protectedvirtual |
Compute the residuals for the Navier-Stokes equations; flag=1(or 0): do (or don't) compute the Jacobian as well.
Compute the residuals for the Navier–Stokes equations; flag=1(or 0): do (or don't) compute the Jacobian as well.
Compute the residuals for the linearised axisymmetric Navier–Stokes equations; flag=1(or 0): do (or don't) compute the Jacobian as well.
Reimplemented in oomph::RefineableLinearisedAxisymmetricNavierStokesEquations, and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations.
References ALE_is_disabled, azimuthal_mode_number(), density_ratio(), dshape_and_dtest_eulerian_at_knot_linearised_axi_nst(), du_dt_linearised_axi_nst(), Gamma, get_base_flow_dudx(), get_base_flow_u(), i, oomph::FiniteElement::integral_pt(), oomph::FiniteElement::interpolated_x(), J, j, k, oomph::Integral::knot(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_local_eqn(), oomph::FiniteElement::node_pt(), npres_linearised_axi_nst(), oomph::Integral::nweight(), p_linearised_axi_nst(), p_local_eqn(), pshape_linearised_axi_nst(), UniformPSDSelfTest::r, oomph::FiniteElement::raw_dnodal_position_dt(), oomph::FiniteElement::raw_nodal_position(), oomph::FiniteElement::raw_nodal_value(), re(), re_st(), s, oomph::Time::time(), oomph::TimeStepper::time_pt(), oomph::Data::time_stepper_pt(), u_index_linearised_axi_nst(), viscosity_ratio(), w, oomph::QuadTreeNames::W, oomph::Integral::weight(), and oomph::TimeStepper::weight().
Referenced by fill_in_contribution_to_jacobian(), fill_in_contribution_to_jacobian_and_mass_matrix(), and fill_in_contribution_to_residuals().
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protectedvirtual |
Compute the residuals for the Navier-Stokes equations; flag=1(or 0): do (or don't) compute the Jacobian as well.
Reimplemented in oomph::RefineableLinearisedAxisymmetricNavierStokesEquations, and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations.
Vector of gravitational components.
References G_pt.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst().
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inlineprotectedvirtual |
Calculate the derivatives w.r.t. nodal coordinates X_{pq} of the spatial derivatives of the velocity components of the base flow solution at a given time and Eulerian position
References Base_flow_d_dudx_dX_fct_pt, i, k, oomph::FiniteElement::nnode(), p, Eigen::numext::q, and plotDoE::x.
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inlineprotectedvirtual |
Calculate the derivatives of the velocity components of the base flow solution w.r.t. local coordinates (s_1 and s_2) at a given time and Eulerian position
Reimplemented in LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement.
References Base_flow_duds_fct_pt, i, j, and plotDoE::x.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst().
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inlineprotectedvirtual |
Calculate the derivative of the velocity components of the base flow solution w.r.t. time at a given time and Eulerian position
Reimplemented in LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement.
References Base_flow_dudt_fct_pt, i, and plotDoE::x.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst().
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inlineprotectedvirtual |
Calculate the derivatives of the velocity components of the base flow solution w.r.t. global coordinates (r and z) at a given time and Eulerian position
Reimplemented in RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, LinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, and LinearisedAxisymmetricQTaylorHoodMultiDomainElement.
References Base_flow_dudx_fct_pt, i, j, and plotDoE::x.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), fill_in_generic_residual_contribution_linearised_axi_nst(), and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst().
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inlineprotectedvirtual |
Calculate the derivatives of the velocity components of the base flow solution w.r.t. global coordinates (r and z) at a given time and Eulerian position
Reimplemented in RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, LinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, and LinearisedAxisymmetricQTaylorHoodMultiDomainElement.
References Base_flow_dudx_fct_pt, i, j, and plotDoE::x.
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inlineprotectedvirtual |
Calculate the derivatives of the velocity components of the base flow solution w.r.t. global coordinates (r and z) at a given time and Eulerian position
Reimplemented in RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, LinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, and LinearisedAxisymmetricQTaylorHoodMultiDomainElement.
References Base_flow_dudx_fct_pt, i, j, and plotDoE::x.
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inlineprotectedvirtual |
Calculate the pressure in the base flow solution at a given time and Eulerian position
Reimplemented in LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement.
References Base_flow_p_fct_pt, and plotDoE::x.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst().
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inlineprotectedvirtual |
Calculate the velocity components of the base flow solution at a given time and Eulerian position
Reimplemented in RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, LinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, and LinearisedAxisymmetricQTaylorHoodMultiDomainElement.
References Base_flow_u_fct_pt, i, and plotDoE::x.
Referenced by oomph::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement< ELEMENT >::fill_in_generic_residual_contribution_interface(), fill_in_generic_residual_contribution_lin_axi_nst(), fill_in_generic_residual_contribution_linearised_axi_nst(), and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst().
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inlinevirtual |
Calculate the velocity components of the base flow solution at a given time and Eulerian position
Reimplemented in RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, LinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, and LinearisedAxisymmetricQTaylorHoodMultiDomainElement.
References Base_flow_u_fct_pt, i, and plotDoE::x.
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inlineprotectedvirtual |
Calculate the velocity components of the base flow solution at a given time and Eulerian position
Reimplemented in RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, LinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, RefineableLinearisedAxisymmetricQTaylorHoodMultiDomainElement, LinearisedAxisymmetricQCrouzeixRaviartMultiDomainElement, and LinearisedAxisymmetricQTaylorHoodMultiDomainElement.
References Base_flow_u_fct_pt, i, and plotDoE::x.
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inlineprotected |
Calculate the body force fct of the base flow at a given time and Eulerian position
References Body_force_fct_pt, i, and plotDoE::x.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), and get_body_force_gradient_base_flow().
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inlineprotected |
Calculate the gradient of the body force of the base flow at a given time and Eulerian position
References Global_Parameters::body_force(), oomph::GeneralisedElement::Default_fd_jacobian_step, get_body_force_base_flow(), i, j, and plotDoE::x.
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pure virtual |
Return the local equation number corresponding to a particular geometric degree of freedom. This function is pure virtual because this information MUST be provided in any concrete derived classes. Note: n ranges from 0->number of PAIRS (cosine and sine) of geom dofs i ranges from 0->1 (0==cosine part, 1==sine part)
Referenced by fill_in_generic_residual_contribution_lin_axi_nst().
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inlineprotected |
Calculate the source fct of the base flow at given time and Eulerian position
References Source_fct_pt, and plotDoE::x.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), and get_source_gradient_base_flow().
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inlineprotected |
Calculate the gradient of the source function of the base flow at a given time and Eulerian position
References oomph::GeneralisedElement::Default_fd_jacobian_step, get_source_base_flow(), i, TestProblem::source(), and plotDoE::x.
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inline |
Return the i-th component of the FE interpolated perturbation to the nodal position xhat[i] at local coordinate s
References i, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_value(), s, oomph::FiniteElement::shape(), and xhat_index_lin_axi_nst().
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inline |
Return the i-th component of the FE interpolated pressure p[i] at local coordinate s
References i, npres_lin_axi_nst(), p_lin_axi_nst(), pshape_lin_axi_nst(), and s.
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inline |
Return the i-th component of the FE interpolated pressure p[i] at local coordinate s
References i, npres_linearised_axi_nst(), p_linearised_axi_nst(), pshape_linearised_axi_nst(), and s.
Referenced by oomph::RefineableLinearisedAxisymmetricQCrouzeixRaviartElement::further_build(), oomph::RefineableLinearisedAxisymmetricQTaylorHoodElement::get_interpolated_values(), and output().
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inline |
Return the i-th component of the FE interpolated pressure p[i] at local coordinate s
References i, npres_linearised_axi_nst(), p_linearised_axi_nst(), pshape_linearised_axi_nst(), and s.
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inline |
Return the i-th component of the FE interpolated velocity u[i] at local coordinate s
References i, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_value(), s, oomph::FiniteElement::shape(), and u_index_lin_axi_nst().
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inline |
Return the i-th component of the FE interpolated velocity u[i] at local coordinate s
References i, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_value(), s, oomph::FiniteElement::shape(), and u_index_linearised_axi_nst().
Referenced by oomph::RefineableLinearisedAxisymmetricQTaylorHoodElement::get_interpolated_values(), oomph::RefineableLinearisedAxisymmetricQCrouzeixRaviartElement::get_interpolated_values(), and output().
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inline |
Return the i-th component of the FE interpolated velocity u[i] at local coordinate s
References i, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_value(), s, oomph::FiniteElement::shape(), and u_index_linearised_axi_nst().
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inline |
Return the number of external perturbed spine "heights" data.
References External_node.
Referenced by assign_additional_local_eqn_numbers().
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pure virtual |
Return the number of pressure degrees of freedom associated with a single pressure component in the element
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), and interpolated_p_lin_axi_nst().
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pure virtual |
Return the number of pressure degrees of freedom associated with a single pressure component in the element
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
Referenced by fill_in_generic_residual_contribution_linearised_axi_nst(), oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst(), and interpolated_p_linearised_axi_nst().
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pure virtual |
Return the number of pressure degrees of freedom associated with a single pressure component in the element
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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inlinevirtual |
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S in tecplot format. Default number of plot points
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
References output().
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inlinevirtual |
Output function in tecplot format: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S, R^C, R^S, Z^C, Z^S. Default number of plot points
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
References output().
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inlinevirtual |
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S in tecplot format. Default number of plot points
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
References output().
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virtual |
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S in tecplot format. nplot points in each coordinate direction
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S in tecplot format. Specified number of plot points in each coordinate direction.
Output function in tecplot format: r, z, R^C, R^S, Z^C, Z^S, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S Specified number of plot points in each coordinate direction.
Output function in tecplot format: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S Specified number of plot points in each coordinate direction.
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
References oomph::FiniteElement::get_s_plot(), i, interpolated_p_linearised_axi_nst(), interpolated_u_linearised_axi_nst(), oomph::FiniteElement::interpolated_x(), oomph::FiniteElement::nplot_points(), s, oomph::FiniteElement::tecplot_zone_string(), and oomph::FiniteElement::write_tecplot_zone_footer().
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Output function in tecplot format: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S, R^C, R^S, Z^C, Z^S. Use nplot points in each coordinate direction
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S in tecplot format. nplot points in each coordinate direction
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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inlinevirtual |
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S in tecplot format. Default number of plot points
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
Referenced by output(), oomph::LinearisedAxisymmetricQCrouzeixRaviartElement::output(), and oomph::LinearisedAxisymmetricQTaylorHoodElement::output().
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inlinevirtual |
Output function in tecplot format: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S, R^C, R^S, Z^C, Z^S. Default number of plot points
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
References output().
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inlinevirtual |
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S in tecplot format. Default number of plot points
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
References output().
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virtual |
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S in tecplot format. nplot points in each coordinate direction
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S in tecplot format. Specified number of plot points in each coordinate direction.
Output function in tecplot format: r, z, R^C, R^S, Z^C, Z^S, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S Specified number of plot points in each coordinate direction.
Output function in tecplot format: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S in tecplot format. Specified number of plot points in each coordinate direction.
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
References oomph::FiniteElement::get_s_plot(), i, interpolated_p_linearised_axi_nst(), interpolated_u_linearised_axi_nst(), oomph::FiniteElement::interpolated_x(), oomph::FiniteElement::nplot_points(), s, oomph::FiniteElement::tecplot_zone_string(), and oomph::FiniteElement::write_tecplot_zone_footer().
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virtual |
Output function in tecplot format: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S, R^C, R^S, Z^C, Z^S. Use nplot points in each coordinate direction
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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virtual |
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, P^C, P^S in tecplot format. nplot points in each coordinate direction
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
| void oomph::LinearisedAxisymmetricNavierStokesEquations::output_veloc | ( | std::ostream & | outfile, |
| const unsigned & | nplot, | ||
| const unsigned & | t | ||
| ) |
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, in tecplot format. nplot points in each coordinate direction at timestep t (t=0: present; t>0: previous timestep)
Output function: Velocities only
r, z, U^C, U^S, V^C, V^S, W^C, W^S in tecplot format at specified previous timestep (t=0: present; t>0: previous timestep). Specified number of plot points in each coordinate direction.
Output function in tecplot format: Velocities only
r, z, U^C, U^S, V^C, V^S, W^C, W^S at specified previous timestep (t=0 present; t>0 previous timestep). Specified number of plot points in each coordinate direction.
Output function in tecplot format: Velocities only r, z, U^C, U^S, V^C, V^S, W^C, W^S at specified previous timestep (t=0 present; t>0 previous timestep). Specified number of plot points in each coordinate direction.
References oomph::FiniteElement::get_s_plot(), i, oomph::FiniteElement::interpolated_x(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_position(), oomph::FiniteElement::nodal_value(), oomph::FiniteElement::nplot_points(), s, oomph::FiniteElement::shape(), plotPSD::t, oomph::FiniteElement::tecplot_zone_string(), u_index_linearised_axi_nst(), and oomph::FiniteElement::write_tecplot_zone_footer().
| void oomph::LinearisedAxisymmetricNavierStokesEquations::output_veloc | ( | std::ostream & | outfile, |
| const unsigned & | nplot, | ||
| const unsigned & | t | ||
| ) |
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, in tecplot format. nplot points in each coordinate direction at timestep t (t=0: present; t>0: previous timestep)
| void oomph::LinearisedAxisymmetricNavierStokesEquations::output_veloc | ( | std::ostream & | outfile, |
| const unsigned & | nplot, | ||
| const unsigned & | t | ||
| ) |
Output function: r, z, U^C, U^S, V^C, V^S, W^C, W^S, in tecplot format. nplot points in each coordinate direction at timestep t (t=0: present; t>0: previous timestep)
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inlinevirtual |
Which nodal value represents the pressure?
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement.
References Pressure_not_stored_at_node.
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inlinevirtual |
Which nodal value represents the pressure?
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQTaylorHoodElement.
References Pressure_not_stored_at_node.
Referenced by oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst(), oomph::RefineableLinearisedAxisymmetricQTaylorHoodElement::pin_elemental_redundant_nodal_pressure_dofs(), and oomph::RefineableLinearisedAxisymmetricQTaylorHoodElement::unpin_elemental_pressure_dofs().
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inlinevirtual |
Which nodal value represents the pressure?
Reimplemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQTaylorHoodElement.
References Pressure_not_stored_at_node.
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pure virtual |
Return the i-th pressure value at local pressure "node" n_p. Uses suitably interpolated value for hanging nodes.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), and interpolated_p_lin_axi_nst().
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pure virtual |
Return the i-th pressure value at local pressure "node" n_p. Uses suitably interpolated value for hanging nodes.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
Referenced by fill_in_generic_residual_contribution_linearised_axi_nst(), oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst(), and interpolated_p_linearised_axi_nst().
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pure virtual |
Return the i-th pressure value at local pressure "node" n_p. Uses suitably interpolated value for hanging nodes.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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protectedpure virtual |
Access function for the local equation number information for the i-th component of the pressure. p_local_eqn[n,i] = local equation number or < 0 if pinned.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), fill_in_generic_residual_contribution_linearised_axi_nst(), and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst().
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protectedpure virtual |
Access function for the local equation number information for the i-th component of the pressure. p_local_eqn[n,i] = local equation number or < 0 if pinned.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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protectedpure virtual |
Access function for the local equation number information for the i-th component of the pressure. p_local_eqn[n,i] = local equation number or < 0 if pinned.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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protectedpure virtual |
Compute the pressure shape functions at local coordinate s.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), and interpolated_p_lin_axi_nst().
|
protectedpure virtual |
Compute the pressure shape and test functions at local coordinate s.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
|
protectedpure virtual |
Compute the pressure shape functions at local coordinate s.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
Referenced by fill_in_generic_residual_contribution_linearised_axi_nst(), oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst(), and interpolated_p_linearised_axi_nst().
|
protectedpure virtual |
Compute the pressure shape functions at local coordinate s.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
|
protectedpure virtual |
Compute the pressure shape and test functions at local coordinate s.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
|
protectedpure virtual |
Compute the pressure shape and test functions at local coordinate s.
Implemented in oomph::LinearisedAxisymmetricQTaylorHoodElement, oomph::LinearisedAxisymmetricQCrouzeixRaviartElement, oomph::LinearisedAxisymmetricQTaylorHoodElement, and oomph::LinearisedAxisymmetricQCrouzeixRaviartElement.
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inline |
|
inline |
|
inline |
|
inline |
Global inverse Froude number.
References ReInvFr_pt.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst().
|
inline |
|
inline |
|
inline |
|
inline |
Pointer to Reynolds number.
References Re_pt.
Referenced by oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::further_build().
|
inline |
|
inline |
|
inline |
Product of Reynolds and Strouhal number (=Womersley number)
References ReSt_pt.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), fill_in_generic_residual_contribution_linearised_axi_nst(), and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst().
|
inline |
|
inline |
|
inline |
Pointer to product of Reynolds and Strouhal number (=Womersley number)
References ReSt_pt.
Referenced by oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::further_build().
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inline |
|
inline |
| void oomph::LinearisedAxisymmetricNavierStokesEquations::strain_rate | ( | const Vector< double > & | s, |
| DenseMatrix< double > & | strainrate | ||
| ) | const |
Strain-rate tensor: \( e_{ij} \) where \( i,j = r,z,\theta \) (in that order)
Get strain-rate tensor: \( e_{ij} \) where \( i,j = r,z,\theta \) (in that order) We evaluate this tensor at a value of theta such that the product of theta and the azimuthal mode number (k) gives \( \pi/4 \). Therefore \( \cos(k \theta) = \sin(k \theta) = 1/\sqrt{2} \).
Get strain-rate tensor: \( e_{ij} \) where \( i,j = r,z,\theta \) (in that order). We evaluate this tensor at a value of theta such that the product of theta and the azimuthal mode number (k) gives \( \pi/4 \). Therefore \( \cos(k \theta) = \sin(k \theta) = 1/\sqrt{2} \).
References abs(), azimuthal_mode_number(), oomph::FiniteElement::dshape_eulerian(), i, k, oomph::DenseMatrix< T >::ncol(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_position(), oomph::FiniteElement::nodal_value(), oomph::DenseMatrix< T >::nrow(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, s, sqrt(), and u_index_linearised_axi_nst().
Referenced by oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::get_Z2_flux().
| void oomph::LinearisedAxisymmetricNavierStokesEquations::strain_rate | ( | const Vector< double > & | s, |
| DenseMatrix< double > & | strain_rate | ||
| ) | const |
Strain-rate tensor: \( e_{ij} \) where \( i,j = r,z,\theta \) (in that order)
| void oomph::LinearisedAxisymmetricNavierStokesEquations::strain_rate | ( | const Vector< double > & | s, |
| DenseMatrix< double > & | strain_rate | ||
| ) | const |
Strain-rate tensor: \( e_{ij} \) where \( i,j = r,z,\theta \) (in that order)
|
inlinevirtual |
Return the index at which the i-th unknown velocity component is stored. The default value, i+4, is appropriate for single-physics problems, since it stores the velocity components immediately after the four perturbations to the nodal positions. In derived multi-physics elements, this function should be overloaded to reflect the chosen storage scheme. Note that these equations require that the unknowns are always stored at the same indices at each node.
References i.
Referenced by dkin_energy_dt(), du_dt_lin_axi_nst(), fill_in_generic_residual_contribution_lin_axi_nst(), and interpolated_u_lin_axi_nst().
|
inlinevirtual |
Return the index at which the i-th unknown velocity component is stored. The default value, i, is appropriate for single-physics problems. In derived multi-physics elements, this function should be overloaded to reflect the chosen storage scheme. Note that these equations require that the unknowns are always stored at the same indices at each node.
References i.
Referenced by du_dt_linearised_axi_nst(), fill_in_generic_residual_contribution_linearised_axi_nst(), oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst(), oomph::RefineableLinearisedAxisymmetricQTaylorHoodElement::get_interpolated_values(), oomph::RefineableLinearisedAxisymmetricQCrouzeixRaviartElement::get_interpolated_values(), interpolated_u_linearised_axi_nst(), output_veloc(), and strain_rate().
|
inlinevirtual |
Return the index at which the i-th unknown velocity component is stored. The default value, i, is appropriate for single-physics problems. In derived multi-physics elements, this function should be overloaded to reflect the chosen storage scheme. Note that these equations require that the unknowns are always stored at the same indices at each node.
References i.
|
inline |
Viscosity ratio for element: element's viscosity relative to the viscosity used in the definition of the Reynolds number
References Viscosity_Ratio_pt.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), fill_in_generic_residual_contribution_linearised_axi_nst(), and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst().
|
inline |
Viscosity ratio for element: element's viscosity relative to the viscosity used in the definition of the Reynolds number
References Viscosity_Ratio_pt.
|
inline |
Viscosity ratio for element: element's viscosity relative to the viscosity used in the definition of the Reynolds number
References Viscosity_Ratio_pt.
|
inline |
Pointer to the viscosity ratio.
References Viscosity_Ratio_pt.
Referenced by oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::further_build().
|
inline |
|
inline |
Pointer to the viscosity ratio.
References Viscosity_Ratio_pt.
|
inlinevirtual |
Return the index at which the i-th component of the unknown perturbation to the nodal position is stored. The default value, i, is appropriate for single-physics problems. In derived multi-physics elements, this function should be overloaded to reflect the chosen storage scheme. Note that these equations require that the unknowns are always stored at the same indices at each node.
References i.
Referenced by dnodal_position_perturbation_dt_lin_axi_nst(), fill_in_generic_residual_contribution_lin_axi_nst(), and interpolated_nodal_position_perturbation_lin_axi_nst().
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protected |
Boolean flag to indicate if ALE formulation is disabled when the time-derivatives are computed. Only set to true if you're sure that the mesh is stationary.
Referenced by disable_ALE(), enable_ALE(), fill_in_generic_residual_contribution_lin_axi_nst(), fill_in_generic_residual_contribution_linearised_axi_nst(), oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst(), and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::further_build().
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Pointer to azimuthal mode number k in e^ik(theta) decomposition.
Referenced by azimuthal_mode_number(), azimuthal_mode_number_pt(), oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::further_build(), and LinearisedAxisymmetricNavierStokesEquations().
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Access function for the derivs w.r.t. nodal coords X_{pq} of the spatial derivatives of base flow velocities pointer
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Pointer to derivs w.r.t. nodal coords X_{pq} of spatial derivatives of base flow solution velocities function
Referenced by get_base_flow_d_dudx_dX().
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Access function for the derivatives of the base flow velocities w.r.t. local coordinates solution pointer
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Pointer to derivatives of base flow solution velocity components w.r.t. local coordinates (s_1 and s_2) function
Referenced by get_base_flow_duds().
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Access function for the derivatives of the base flow velocities w.r.t. time solution pointer
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Pointer to derivatives of base flow solution velocity components w.r.t. time function
Referenced by get_base_flow_dudt().
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Access function for the derivatives of the base flow w.r.t. global coordinates solution pointer
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Pointer to derivatives of base flow solution velocity components w.r.t. global coordinates (r and z) function
Referenced by get_base_flow_dudx().
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Access function for the base flow pressure pointer.
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Pointer to base flow solution (pressure) function.
Referenced by get_base_flow_p().
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Access function for the base flow solution pointer.
Access function for the base flow velocity pointer.
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Pointer to base flow solution (velocity components) function.
Referenced by get_base_flow_u().
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Access function for the body-force pointer.
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Pointer to (base flow) body force function.
Referenced by get_body_force_base_flow().
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Static default value for the azimuthal mode number (zero)
Referenced by LinearisedAxisymmetricNavierStokesEquations().
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Static default value for the gravity vector (zero)
Referenced by LinearisedAxisymmetricNavierStokesEquations().
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Static default value for the physical constants (all initialised to zero)
Referenced by LinearisedAxisymmetricNavierStokesEquations().
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Static default value for the physical ratios (all initialised to one)
Referenced by LinearisedAxisymmetricNavierStokesEquations().
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Pointer to the density ratio (relative to the density used in the definition of the Reynolds number)
Referenced by density_ratio(), density_ratio_pt(), oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::further_build(), and LinearisedAxisymmetricNavierStokesEquations().
Array to hold the local eqn number information for the external data
Referenced by assign_additional_local_eqn_numbers().
Vector to keep track of the external data associated with each bulk node
Referenced by nexternal_H_data().
Pointer to global gravity Vector.
Referenced by g(), g_pt(), and LinearisedAxisymmetricNavierStokesEquations().
Vector to decide whether the stress-divergence form is used or not.
Linearised axisymmetric Navier–Stokes equations static data.
Navier–Stokes equations static data.
Referenced by fill_in_generic_residual_contribution_lin_axi_nst(), fill_in_generic_residual_contribution_linearised_axi_nst(), and oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::fill_in_generic_residual_contribution_linearised_axi_nst().
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Static "magic" number that indicates that the pressure is not stored at a node
Referenced by p_index_lin_axi_nst(), and p_index_linearised_axi_nst().
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Pointer to global Reynolds number.
Referenced by oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::further_build(), LinearisedAxisymmetricNavierStokesEquations(), re(), and re_pt().
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Pointer to global Reynolds number x inverse Froude number (= Bond number / Capillary number)
Referenced by LinearisedAxisymmetricNavierStokesEquations(), re_invfr(), and re_invfr_pt().
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Pointer to global Reynolds number x inverse Rossby number (used when in a rotating frame)
Referenced by LinearisedAxisymmetricNavierStokesEquations(), re_invro(), and re_invro_pt().
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Pointer to global Reynolds number x Strouhal number (=Womersley)
Referenced by oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::further_build(), LinearisedAxisymmetricNavierStokesEquations(), re_st(), and re_st_pt().
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Access function for the source-function pointer.
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Pointer to (base flow) volumetric source function.
Referenced by get_source_base_flow().
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Pointer to the viscosity ratio (relative to the viscosity used in the definition of the Reynolds number)
Referenced by oomph::RefineableLinearisedAxisymmetricNavierStokesEquations::further_build(), LinearisedAxisymmetricNavierStokesEquations(), viscosity_ratio(), and viscosity_ratio_pt().
1.9.1 