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#include <Taxisym_poroelasticity_elements.h>
Public Member Functions | |
TAxisymmetricPoroelasticityElement () | |
Constructor. More... | |
~TAxisymmetricPoroelasticityElement () | |
Destructor. More... | |
unsigned | required_nvalue (const unsigned &n) const |
Number of values required at node n. More... | |
unsigned | face_index_of_edge (const unsigned &j) const |
Return the face index associated with specified edge. More... | |
void | face_local_coordinate_of_flux_interpolation_point (const unsigned &edge, const unsigned &n, Vector< double > &s) const |
unsigned | face_index_of_q_edge_basis_fct (const unsigned &j) const |
Return the face index associated with j-th edge flux degree of freedom. More... | |
unsigned | u_index_axisym_poroelasticity (const unsigned &j) const |
int | q_edge_local_eqn (const unsigned &j) const |
Return the equation number of the j-th edge (flux) degree of freedom. More... | |
int | q_internal_local_eqn (const unsigned &j) const |
Return the equation number of the j-th internal degree of freedom. More... | |
Vector< Data * > | q_edge_data_pt () const |
Data * | q_internal_data_pt () const |
Return pointer to the Data object that stores the internal flux values. More... | |
unsigned | q_internal_index () const |
unsigned | q_edge_index (const unsigned &j) const |
Return the nodal index at which the jth edge unknown is stored. More... | |
unsigned | q_edge_node_number (const unsigned &j) const |
Return the number of the node where the jth edge unknown is stored. More... | |
Node * | edge_flux_node_pt (const unsigned &edge) |
Get pointer to node that stores the edge flux dofs for specified edge. More... | |
double | q_edge (const unsigned &j) const |
Return the values of the j-th edge (flux) degree of freedom. More... | |
double | q_edge (const unsigned &t, const unsigned &j) const |
double | q_internal (const unsigned &j) const |
Return the values of the internal degree of freedom. More... | |
double | q_internal (const unsigned &t, const unsigned &j) const |
void | pin_q_edge_value (const unsigned &j, const double &value) |
Pin the j-th edge (flux) degree of freedom and set it to specified value. More... | |
void | set_q_edge (const unsigned &j, const double &value) |
Set the values of the j-th edge (flux) degree of freedom. More... | |
void | set_q_edge (const unsigned &t, const unsigned &j, const double &value) |
void | set_q_internal (const unsigned &j, const double &value) |
Set the values of the j-th internal degree of freedom. More... | |
void | set_q_internal (const unsigned &t, const unsigned &j, const double &value) |
unsigned | nq_basis_edge () const |
Return the number of edge basis functions for flux q. More... | |
unsigned | nq_basis_internal () const |
Return the number of internal basis functions for flux q. More... | |
void | get_q_basis_local (const Vector< double > &s, Shape &q_basis) const |
Returns the local form of the q basis at local coordinate s. More... | |
void | get_div_q_basis_local (const Vector< double > &s, Shape &div_q_basis_ds) const |
unsigned | nedge_flux_interpolation_point () const |
Vector< double > | edge_flux_interpolation_point (const unsigned &edge, const unsigned &j) const |
void | edge_flux_interpolation_point_global (const unsigned &edge, const unsigned &j, Vector< double > &x) const |
void | pin_q_internal_value (const unsigned &j, const double &q) |
Pin the jth internal q value and set it to specified value. More... | |
int | p_local_eqn (const unsigned &j) const |
Return the equation number of the j-th pressure degree of freedom. More... | |
double | p_value (const unsigned &j) const |
Return the jth pressure value. More... | |
unsigned | np_basis () const |
Return the total number of pressure basis functions. More... | |
void | get_p_basis (const Vector< double > &s, Shape &p_basis) const |
Return the pressure basis. More... | |
void | pin_p_value (const unsigned &j, const double &p) |
Pin the jth pressure value and set to specified value. More... | |
Data * | p_data_pt () const |
Return pointer to the Data object that stores the pressure values. More... | |
void | set_p_value (const unsigned &j, const double &value) |
Set the jth pressure value. More... | |
void | scale_basis (Shape &basis) const |
Scale the edge basis to allow arbitrary edge mappings. More... | |
const short & | sign_edge (const unsigned &n) const |
Accessor for the unit normal sign of edge n (const version) More... | |
short & | sign_edge (const unsigned &n) |
Accessor for the unit normal sign of edge n. More... | |
void | output (std::ostream &outfile) |
Output with default number of plot points. More... | |
void | output (std::ostream &outfile, const unsigned &Nplot) |
unsigned | nvertex_node () const |
Number of vertex nodes in the element. More... | |
Node * | vertex_node_pt (const unsigned &j) const |
Pointer to the j-th vertex node in the element. More... | |
unsigned | nrecovery_order () |
Recovery order for Z2 error estimator. More... | |
TAxisymmetricPoroelasticityElement () | |
~TAxisymmetricPoroelasticityElement () | |
Destructor. More... | |
unsigned | nq_basis_edge () const |
Return the number of edge basis functions for flux q. More... | |
unsigned | nq_basis_internal () const |
Return the number of internal basis functions for flux q. More... | |
void | get_q_basis_local (const Vector< double > &s, Shape &q_basis) const |
Compute the local form of the q basis at local coordinate s. More... | |
void | get_div_q_basis_local (const Vector< double > &s, Shape &div_q_basis_ds) const |
Compute the local form of the q basis and dbasis/ds at local coordinate s. More... | |
unsigned | nedge_flux_interpolation_point () const |
unsigned | np_basis () const |
Return the total number of pressure basis functions. More... | |
void | get_p_basis (const Vector< double > &s, Shape &p_basis) const |
Return the pressure basis. More... | |
TAxisymmetricPoroelasticityElement () | |
~TAxisymmetricPoroelasticityElement () | |
Destructor. More... | |
unsigned | nq_basis_edge () const |
Return the number of edge basis functions for flux q. More... | |
unsigned | nq_basis_internal () const |
Return the number of internal basis functions for flux q. More... | |
void | get_q_basis_local (const Vector< double > &s, Shape &q_basis) const |
Returns the local form of the q basis at local coordinate s. More... | |
void | get_div_q_basis_local (const Vector< double > &s, Shape &div_q_basis_ds) const |
Returns the local form of the q basis and dbasis/ds at local coordinate s. More... | |
unsigned | nedge_flux_interpolation_point () const |
unsigned | np_basis () const |
Return the total number of pressure basis functions. More... | |
void | get_p_basis (const Vector< double > &s, Shape &p_basis) const |
Return the pressure basis. More... | |
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const unsigned | Node_on_face [3][2] |
Assign the nodal translation schemes. More... | |
const unsigned | Node_on_face [3][3] |
const unsigned | Node_on_face [3][4] |
const unsigned | Node_on_face [4][3] |
Assign the nodal translation scheme for linear elements. More... | |
const unsigned | Node_on_face [4][6] |
Assign the nodal translation scheme for quadratic elements. More... | |
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AxisymmetricPoroelasticityEquations () | |
Constructor. More... | |
const double & | youngs_modulus () const |
double *& | youngs_modulus_pt () |
const double & | nu () const |
Access function for Poisson's ratio. More... | |
double *& | nu_pt () |
Access function for pointer to Poisson's ratio. More... | |
const double & | lambda_sq () const |
Access function for timescale ratio (nondim density) More... | |
double *& | lambda_sq_pt () |
Access function for pointer to timescale ratio (nondim density) More... | |
const double & | density_ratio () const |
Access function for the density ratio (fluid to solid) More... | |
double *& | density_ratio_pt () |
Access function for pointer to the density ratio (fluid to solid) More... | |
const double & | permeability () const |
Access function for the nondim permeability. More... | |
double *& | permeability_pt () |
Access function for pointer to the nondim permeability. More... | |
const double & | permeability_ratio () const |
double *& | permeability_ratio_pt () |
const double & | alpha () const |
Access function for alpha, the Biot parameter. More... | |
double *& | alpha_pt () |
Access function for pointer to alpha, the Biot parameter. More... | |
const double & | porosity () const |
Access function for the porosity. More... | |
double *& | porosity_pt () |
Access function for pointer to the porosity. More... | |
SourceFctPt & | solid_body_force_fct_pt () |
Access function: Pointer to solid body force function. More... | |
SourceFctPt | solid_body_force_fct_pt () const |
Access function: Pointer to solid body force function (const version) More... | |
SourceFctPt & | fluid_body_force_fct_pt () |
Access function: Pointer to fluid force function. More... | |
SourceFctPt | fluid_body_force_fct_pt () const |
Access function: Pointer to fluid force function (const version) More... | |
MassSourceFctPt & | mass_source_fct_pt () |
Access function: Pointer to mass source function. More... | |
MassSourceFctPt | mass_source_fct_pt () const |
Access function: Pointer to mass source function (const version) More... | |
void | solid_body_force (const double &time, const Vector< double > &x, Vector< double > &b) const |
void | fluid_body_force (const double &time, const Vector< double > &x, Vector< double > &b) const |
void | mass_source (const double &time, const Vector< double > &x, double &b) const |
virtual unsigned | nq_basis () const |
Return the total number of computational basis functions for q. More... | |
void | get_q_basis (const Vector< double > &s, Shape &q_basis) const |
Compute the transformed basis at local coordinate s. More... | |
double | transform_basis (const Vector< double > &s, const Shape &q_basis_local, Shape &psi, DShape &dpsi, Shape &q_basis) const |
double | transform_basis (const Vector< double > &s, const Shape &q_basis_local, Shape &psi, Shape &q_basis) const |
void | fill_in_contribution_to_residuals (Vector< double > &residuals) |
Fill in contribution to residuals for the Darcy equations. More... | |
void | fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
Fill in the Jacobian matrix for the Newton method. More... | |
double | interpolated_div_du_dt (const Vector< double > &s, Vector< double > &div_dudt_components) const |
double | interpolated_div_u (const Vector< double > &s, Vector< double > &div_u_components) const |
void | interpolated_u (const Vector< double > &s, Vector< double > &disp) const |
Calculate the FE representation of u. More... | |
double | interpolated_u (const Vector< double > &s, const unsigned &i) const |
Calculate the FE representation of the i-th component of u. More... | |
double | interpolated_u (const unsigned &t, const Vector< double > &s, const unsigned &i) const |
void | interpolated_du_dt (const Vector< double > &s, Vector< double > &du_dt) const |
Calculate the FE representation of du_dt. More... | |
void | interpolated_q (const Vector< double > &s, Vector< double > &q) const |
Calculate the FE representation of q. More... | |
void | interpolated_q (const unsigned &t, const Vector< double > &s, Vector< double > &q) const |
double | interpolated_q (const Vector< double > &s, const unsigned i) const |
Calculate the FE representation of the i-th component of q. More... | |
double | interpolated_q (const unsigned &t, const Vector< double > &s, const unsigned i) const |
void | interpolated_div_q (const Vector< double > &s, double &div_q) const |
Calculate the FE representation of div u. More... | |
double | interpolated_div_q (const Vector< double > &s) const |
Calculate the FE representation of div q and return it. More... | |
void | interpolated_p (const Vector< double > &s, double &p) const |
Calculate the FE representation of p. More... | |
double | interpolated_p (const Vector< double > &s) const |
Calculate the FE representation of p and return it. More... | |
double | du_dt (const unsigned &n, const unsigned &i) const |
du/dt at local node n More... | |
double | d2u_dt2 (const unsigned &n, const unsigned &i) const |
d^2u/dt^2 at local node n More... | |
double | dq_edge_dt (const unsigned &n) const |
dq_edge/dt for the n-th edge degree of freedom More... | |
double | dq_internal_dt (const unsigned &n) const |
dq_internal/dt for the n-th internal degree of freedom More... | |
void | set_q_internal_timestepper (TimeStepper *const time_stepper_pt) |
Set the timestepper of the q internal data object. More... | |
bool | darcy_is_switched_off () |
Is Darcy flow switched off? More... | |
void | switch_off_darcy () |
Switch off Darcy flow. More... | |
unsigned | self_test () |
Self test. More... | |
unsigned | nscalar_paraview () const |
void | scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) const |
std::string | scalar_name_paraview (const unsigned &i) const |
void | point_output_data (const Vector< double > &s, Vector< double > &data) |
void | output_with_projected_flux (std::ostream &outfile, const unsigned &nplot, const Vector< double > unit_normal) |
void | output_fct (std::ostream &outfile, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) |
void | output_fct (std::ostream &outfile, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) |
void | compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm) |
void | compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm) |
unsigned | num_Z2_flux_terms () |
Number off flux terms for Z2 error estimator (use Darcy flux) More... | |
void | get_Z2_flux (const Vector< double > &s, Vector< double > &flux) |
Z2 flux (use Darcy flux) More... | |
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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 void | disable_ALE () |
virtual void | enable_ALE () |
unsigned | nnodal_position_type () const |
bool | has_hanging_nodes () const |
unsigned | nodal_dimension () const |
Return the required Eulerian dimension of the nodes in this element. More... | |
virtual Node * | construct_node (const unsigned &n) |
virtual Node * | construct_node (const unsigned &n, TimeStepper *const &time_stepper_pt) |
virtual Node * | construct_boundary_node (const unsigned &n) |
virtual Node * | construct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt) |
int | get_node_number (Node *const &node_pt) const |
virtual Node * | get_node_at_local_coordinate (const Vector< double > &s) const |
double | raw_nodal_value (const unsigned &n, const unsigned &i) const |
double | raw_nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const |
double | nodal_value (const unsigned &n, const unsigned &i) const |
double | nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const |
unsigned | dim () const |
virtual ElementGeometry::ElementGeometry | element_geometry () const |
Return the geometry type of the element (either Q or T usually). More... | |
virtual double | interpolated_x (const Vector< double > &s, const unsigned &i) const |
Return FE interpolated coordinate x[i] at local coordinate s. More... | |
virtual double | interpolated_x (const unsigned &t, const Vector< double > &s, const unsigned &i) const |
virtual void | interpolated_x (const Vector< double > &s, Vector< double > &x) const |
Return FE interpolated position x[] at local coordinate s as Vector. More... | |
virtual void | interpolated_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) const |
virtual double | interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t) |
virtual void | interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt) |
unsigned | ngeom_data () const |
Data * | geom_data_pt (const unsigned &j) |
void | position (const Vector< double > &zeta, Vector< double > &r) const |
void | position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const |
void | dposition_dt (const Vector< double > &zeta, const unsigned &t, Vector< double > &drdt) |
virtual double | zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const |
void | interpolated_zeta (const Vector< double > &s, Vector< double > &zeta) const |
void | locate_zeta (const Vector< double > &zeta, GeomObject *&geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false) |
virtual void | node_update () |
virtual void | identify_field_data_for_interactions (std::set< std::pair< Data *, unsigned >> &paired_field_data) |
virtual void | identify_geometric_data (std::set< Data * > &geometric_data_pt) |
virtual double | s_min () const |
Min value of local coordinate. More... | |
virtual double | s_max () const |
Max. value of local coordinate. More... | |
double | size () const |
virtual double | compute_physical_size () const |
void | point_output (std::ostream &outfile, const Vector< double > &s) |
virtual unsigned | nplot_points_paraview (const unsigned &nplot) const |
virtual unsigned | nsub_elements_paraview (const unsigned &nplot) const |
void | output_paraview (std::ofstream &file_out, const unsigned &nplot) const |
virtual void | write_paraview_output_offset_information (std::ofstream &file_out, const unsigned &nplot, unsigned &counter) const |
virtual void | write_paraview_type (std::ofstream &file_out, const unsigned &nplot) const |
virtual void | write_paraview_offsets (std::ofstream &file_out, const unsigned &nplot, unsigned &offset_sum) const |
virtual void | scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) const |
virtual void | scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const |
virtual void | output (const unsigned &t, std::ostream &outfile, const unsigned &n_plot) const |
virtual void | output (FILE *file_pt) |
virtual void | output (FILE *file_pt, const unsigned &n_plot) |
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_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 | 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 |
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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 |
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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 |
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ElementWithZ2ErrorEstimator () | |
Default empty constructor. More... | |
ElementWithZ2ErrorEstimator (const ElementWithZ2ErrorEstimator &)=delete | |
Broken copy constructor. More... | |
void | operator= (const ElementWithZ2ErrorEstimator &)=delete |
Broken assignment operator. More... | |
virtual unsigned | ncompound_fluxes () |
virtual void | compute_exact_Z2_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_flux_pt, double &error, double &norm) |
virtual void | get_Z2_compound_flux_indices (Vector< unsigned > &flux_index) |
virtual double | geometric_jacobian (const Vector< double > &x) |
Protected Member Functions | |
double | shape_basis_test_local (const Vector< double > &s, Shape &psi, DShape &dpsi, Shape &u_basis, Shape &u_test, DShape &du_basis_dx, DShape &du_test_dx, Shape &q_basis, Shape &q_test, Shape &p_basis, Shape &p_test, Shape &div_q_basis_ds, Shape &div_q_test_ds) const |
double | shape_basis_test_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsi, Shape &u_basis, Shape &u_test, DShape &du_basis_dx, DShape &du_test_dx, Shape &q_basis, Shape &q_test, Shape &p_basis, Shape &p_test, Shape &div_q_basis_ds, Shape &div_q_test_ds) const |
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virtual void | fill_in_generic_residual_contribution (Vector< double > &residuals, DenseMatrix< double > &jacobian, bool flag) |
Fill in residuals and, if flag==true, jacobian. More... | |
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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) |
void | fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian) |
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 |
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unsigned | add_internal_data (Data *const &data_pt, const bool &fd=true) |
bool | internal_data_fd (const unsigned &i) const |
void | exclude_internal_data_fd (const unsigned &i) |
void | include_internal_data_fd (const unsigned &i) |
void | clear_global_eqn_numbers () |
void | add_global_eqn_numbers (std::deque< unsigned long > const &global_eqn_numbers, std::deque< double * > const &global_dof_pt) |
virtual void | assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt) |
virtual void | assign_additional_local_eqn_numbers () |
int | internal_local_eqn (const unsigned &i, const unsigned &j) const |
int | external_local_eqn (const unsigned &i, const unsigned &j) |
void | fill_in_jacobian_from_internal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
void | fill_in_jacobian_from_internal_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
void | fill_in_jacobian_from_external_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
void | fill_in_jacobian_from_external_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false) |
virtual void | update_before_internal_fd () |
virtual void | reset_after_internal_fd () |
virtual void | update_in_internal_fd (const unsigned &i) |
virtual void | reset_in_internal_fd (const unsigned &i) |
virtual void | update_before_external_fd () |
virtual void | reset_after_external_fd () |
virtual void | update_in_external_fd (const unsigned &i) |
virtual void | reset_in_external_fd (const unsigned &i) |
virtual void | fill_in_contribution_to_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix) |
virtual void | fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, 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) |
Private Member Functions | |
const unsigned | Initial_Nvalue [6] |
The number of values stored at each node. More... | |
const unsigned | Face_index_of_edge_flux [3] |
Face index associated with edge flux degree of freedom. More... | |
const unsigned | Q_edge_conv [3] |
const double | Flux_interpolation_point [1] |
The points along each edge where the fluxes are taken to be. More... | |
const unsigned | Initial_Nvalue [6] |
The number of values stored at each node. More... | |
const unsigned | Face_index_of_edge_flux [3] |
Face index associated with edge flux degree of freedom. More... | |
const unsigned | Q_edge_conv [3] |
const double | Flux_interpolation_point [2] |
The points along each edge where the fluxes are taken to be. More... | |
Private Attributes | |
unsigned | Q_internal_data_index |
unsigned | P_internal_data_index |
The internal data index where the p degrees of freedom are stored. More... | |
std::vector< short > | Sign_edge |
Static Private Attributes | |
static const unsigned | Initial_Nvalue [] |
The number of values stored at each node. More... | |
static const unsigned | Face_index_of_edge_flux [] |
Face index associated with edge flux degree of freedom. More... | |
static const unsigned | Q_edge_conv [] |
static const double | Flux_interpolation_point [] |
The points along each edge where the fluxes are taken to be. More... | |
Additional Inherited Members | |
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typedef void(* | SourceFctPt) (const double &time, const Vector< double > &x, Vector< double > &f) |
Source function pointer typedef. More... | |
typedef void(* | MassSourceFctPt) (const double &time, const Vector< double > &x, double &f) |
Mass source function pointer typedef. More... | |
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typedef void(* | SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &) |
typedef void(* | UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &) |
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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 |
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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 |
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MacroElement * | Macro_elem_pt |
Pointer to the element's macro element (NULL by default) More... | |
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unsigned | NLagrangian |
Number of Lagrangian (intrinsic) coordinates. More... | |
unsigned | Ndim |
Number of Eulerian coordinates. More... | |
TimeStepper * | Geom_object_time_stepper_pt |
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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} |
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static DenseMatrix< double > | Dummy_matrix |
static std::deque< double * > | Dof_pt_deque |
================================================================= Element which solves the Darcy/linear elasticity equations using TElements Geometrically the element is always a six noded triangle. We use the mid-side nodes to store edge-based flux degrees of freedom and internal data for the discontinuous pressure
oomph::TAxisymmetricPoroelasticityElement< ORDER >::TAxisymmetricPoroelasticityElement | ( | ) |
Constructor.
oomph::TAxisymmetricPoroelasticityElement< ORDER >::~TAxisymmetricPoroelasticityElement | ( | ) |
Destructor.
/////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////// Lowest-order Raviart-Thomas based Darcy/axisym lin elast equation element /////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////// Constructor. Order 0 elements have 1 pressure dof and no internal flux dofs
References oomph::GeneralisedElement::add_internal_data(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::P_internal_data_index.
//////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// Second-orderRaviart-Thomas based Darcy/axisym lin elast equation element //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// Constructor. Order 1 elements have 3 pressure dofs and 2 internal velocity dofs
References oomph::GeneralisedElement::add_internal_data(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::P_internal_data_index, and oomph::TAxisymmetricPoroelasticityElement< ORDER >::Q_internal_data_index.
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inlinevirtual |
Returns the local coordinate of the jth flux_interpolation point along specified edge
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::TAxisymmetricPoroelasticityElement< ORDER >::Flux_interpolation_point, j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::nedge_flux_interpolation_point(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::TAxisymmetricPoroelasticityElement< ORDER >::sign_edge().
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::edge_flux_interpolation_point_global(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::face_local_coordinate_of_flux_interpolation_point().
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inlinevirtual |
Compute the global coordinates of the jth flux_interpolation point along specified edge
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::TAxisymmetricPoroelasticityElement< ORDER >::edge_flux_interpolation_point(), oomph::FiniteElement::interpolated_x(), j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::nedge_flux_interpolation_point(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::TAxisymmetricPoroelasticityElement< ORDER >::Q_edge_conv, and plotDoE::x.
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inline |
Get pointer to node that stores the edge flux dofs for specified edge.
References oomph::FiniteElement::node_pt(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::Q_edge_conv.
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inlinevirtual |
Return the face index associated with specified edge.
Implements oomph::AxisymmetricPoroelasticityEquations.
References j.
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private |
Face index associated with edge flux degree of freedom.
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private |
Face index associated with edge flux degree of freedom.
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inlinevirtual |
Return the face index associated with j-th edge flux degree of freedom.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::TAxisymmetricPoroelasticityElement< ORDER >::Face_index_of_edge_flux, and j.
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inlinevirtual |
Compute the face element coordinates of the nth flux interpolation point along specified edge
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::TAxisymmetricPoroelasticityElement< ORDER >::edge_flux_interpolation_point(), n, oomph::TAxisymmetricPoroelasticityElement< ORDER >::Q_edge_conv, and s.
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private |
The points along each edge where the fluxes are taken to be.
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private |
The points along each edge where the fluxes are taken to be.
References sqrt().
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virtual |
Compute the local form of the q basis and dbasis/ds at local coordinate s.
Implements oomph::AxisymmetricPoroelasticityEquations.
References sqrt().
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virtual |
Returns the local form of the q basis and dbasis/ds at local coordinate s.
Implements oomph::AxisymmetricPoroelasticityEquations.
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virtual |
Returns the local form of the q basis and dbasis/ds at local coordinate s
Implements oomph::AxisymmetricPoroelasticityEquations.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::shape_basis_test_local().
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virtual |
Return the pressure basis.
Implements oomph::AxisymmetricPoroelasticityEquations.
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virtual |
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virtual |
Return the pressure basis.
Implements oomph::AxisymmetricPoroelasticityEquations.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::shape_basis_test_local().
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Compute the local form of the q basis at local coordinate s.
Implements oomph::AxisymmetricPoroelasticityEquations.
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Returns the local form of the q basis at local coordinate s.
Implements oomph::AxisymmetricPoroelasticityEquations.
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Returns the local form of the q basis at local coordinate s.
Implements oomph::AxisymmetricPoroelasticityEquations.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::shape_basis_test_local().
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The number of values stored at each node.
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The number of values stored at each node.
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Return the number of flux_interpolation points along each edge of the element
Implements oomph::AxisymmetricPoroelasticityEquations.
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Returns the number of flux_interpolation points along each edge of the element
Implements oomph::AxisymmetricPoroelasticityEquations.
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Returns the number of flux_interpolation points along each edge of the element
Implements oomph::AxisymmetricPoroelasticityEquations.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::edge_flux_interpolation_point(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::edge_flux_interpolation_point_global().
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Return the total number of pressure basis functions.
Implements oomph::AxisymmetricPoroelasticityEquations.
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Return the total number of pressure basis functions.
Implements oomph::AxisymmetricPoroelasticityEquations.
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Return the total number of pressure basis functions.
Implements oomph::AxisymmetricPoroelasticityEquations.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::p_local_eqn(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::p_value(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::pin_p_value().
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Return the number of edge basis functions for flux q.
Implements oomph::AxisymmetricPoroelasticityEquations.
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Return the number of edge basis functions for flux q.
Implements oomph::AxisymmetricPoroelasticityEquations.
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Return the number of edge basis functions for flux q.
Implements oomph::AxisymmetricPoroelasticityEquations.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_index(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_local_eqn(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_node_number(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::scale_basis().
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Return the number of internal basis functions for flux q.
Implements oomph::AxisymmetricPoroelasticityEquations.
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Return the number of internal basis functions for flux q.
Implements oomph::AxisymmetricPoroelasticityEquations.
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Return the number of internal basis functions for flux q.
Implements oomph::AxisymmetricPoroelasticityEquations.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::pin_q_internal_value(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_internal(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_internal_local_eqn().
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Recovery order for Z2 error estimator.
Implements oomph::ElementWithZ2ErrorEstimator.
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Number of vertex nodes in the element.
Reimplemented from oomph::FiniteElement.
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Output with default number of plot points.
Reimplemented from oomph::AxisymmetricPoroelasticityEquations.
References oomph::AxisymmetricPoroelasticityEquations::output().
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Output FE representation of soln: x,y,u1,u2,div_q,p at Nplot^DIM plot points
Reimplemented from oomph::AxisymmetricPoroelasticityEquations.
References oomph::AxisymmetricPoroelasticityEquations::output().
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Return pointer to the Data object that stores the pressure values.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_data_pt().
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Return the equation number of the j-th pressure degree of freedom.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_local_eqn(), j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::np_basis(), OOMPH_CURRENT_FUNCTION, and OOMPH_EXCEPTION_LOCATION.
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Return the jth pressure value.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_data_pt(), j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::np_basis(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::Data::value().
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Pin the jth pressure value and set to specified value.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_data_pt(), j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::np_basis(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, p, oomph::Data::pin(), and oomph::Data::set_value().
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Pin the j-th edge (flux) degree of freedom and set it to specified value.
Implements oomph::AxisymmetricPoroelasticityEquations.
References j, oomph::FiniteElement::node_pt(), oomph::Data::pin(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_index(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_node_number(), oomph::Data::set_value(), and Eigen::value.
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Pin the jth internal q value and set it to specified value.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_data_pt(), j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::nq_basis_internal(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::Data::pin(), Eigen::numext::q, oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_internal_index(), and oomph::Data::set_value().
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Return the values of the j-th edge (flux) degree of freedom.
Implements oomph::AxisymmetricPoroelasticityEquations.
References j, oomph::FiniteElement::nodal_value(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::nq_basis_edge(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_index(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_node_number().
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Return the values of the j-th edge (flux) degree of freedom at time history level t
Implements oomph::AxisymmetricPoroelasticityEquations.
References j, oomph::FiniteElement::nodal_value(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::nq_basis_edge(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_index(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_node_number(), and plotPSD::t.
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Conversion scheme from an edge degree of freedom to the node it's stored at
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Conversion scheme from an edge degree of freedom to the node it's stored at
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Return vector of pointers to the Data objects that store the edge flux values
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::FiniteElement::node_pt().
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Return the nodal index at which the jth edge unknown is stored.
Implements oomph::AxisymmetricPoroelasticityEquations.
References j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::nq_basis_edge(), OOMPH_CURRENT_FUNCTION, and OOMPH_EXCEPTION_LOCATION.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::pin_q_edge_value(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_local_eqn(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::set_q_edge().
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Return the equation number of the j-th edge (flux) degree of freedom.
Implements oomph::AxisymmetricPoroelasticityEquations.
References j, oomph::FiniteElement::nodal_local_eqn(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::nq_basis_edge(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_index(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_node_number().
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Return the number of the node where the jth edge unknown is stored.
Implements oomph::AxisymmetricPoroelasticityEquations.
References j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::nq_basis_edge(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::TAxisymmetricPoroelasticityElement< ORDER >::Q_edge_conv.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::pin_q_edge_value(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_local_eqn(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::set_q_edge().
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Return the values of the internal degree of freedom.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_data_pt(), j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::nq_basis_internal(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_internal_index(), and oomph::Data::value().
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Return the value of the j-th internal degree of freedom at time history level t
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_data_pt(), j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::nq_basis_internal(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_internal_index(), and oomph::Data::value().
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Return pointer to the Data object that stores the internal flux values.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_data_pt().
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Return the index of the internal data where the q_internal degrees of freedom are stored
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::TAxisymmetricPoroelasticityElement< ORDER >::Q_internal_data_index.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::pin_q_internal_value(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_internal(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_internal_local_eqn(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::set_q_internal().
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Return the equation number of the j-th internal degree of freedom.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_local_eqn(), j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::nq_basis_internal(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_internal_index().
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Number of values required at node n.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::TAxisymmetricPoroelasticityElement< ORDER >::Initial_Nvalue, and n.
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Scale the edge basis to allow arbitrary edge mappings.
Implements oomph::AxisymmetricPoroelasticityEquations.
References i, oomph::Shape::nindex2(), oomph::FiniteElement::node_pt(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::nq_basis_edge(), Eigen::bfloat16_impl::pow(), sqrt(), oomph::Node::x(), Global::x0, and Global_parameters::x1().
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Set the jth pressure value.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_data_pt(), j, oomph::Data::set_value(), and Eigen::value.
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Set the values of the j-th edge (flux) degree of freedom.
Implements oomph::AxisymmetricPoroelasticityEquations.
References j, oomph::FiniteElement::node_pt(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_index(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_node_number(), oomph::Data::set_value(), and Eigen::value.
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Set the values of the j-th edge (flux) degree of freedom at time history level t
Implements oomph::AxisymmetricPoroelasticityEquations.
References j, oomph::FiniteElement::node_pt(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_index(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_node_number(), oomph::Data::set_value(), plotPSD::t, and Eigen::value.
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Set the values of the j-th internal degree of freedom.
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_data_pt(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_internal_index(), oomph::Data::set_value(), and Eigen::value.
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Set the values of the j-th internal degree of freedom at time history level t
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::GeneralisedElement::internal_data_pt(), j, oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_internal_index(), oomph::Data::set_value(), and Eigen::value.
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inlineprotectedvirtual |
Returns the geometric basis, and the u, p and divergence basis functions and test functions at local coordinate s
Implements oomph::AxisymmetricPoroelasticityEquations.
References oomph::TAxisymmetricPoroelasticityElement< ORDER >::get_div_q_basis_local(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::get_p_basis(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::get_q_basis_local(), J, oomph::AxisymmetricPoroelasticityEquations::nq_basis(), and oomph::AxisymmetricPoroelasticityEquations::transform_basis().
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::shape_basis_test_local_at_knot().
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inlineprotectedvirtual |
Returns the geometric basis, and the u, p and divergence basis functions and test functions at integration point ipt
Implements oomph::AxisymmetricPoroelasticityEquations.
References i, oomph::FiniteElement::integral_pt(), oomph::Integral::knot(), s, and oomph::TAxisymmetricPoroelasticityElement< ORDER >::shape_basis_test_local().
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Accessor for the unit normal sign of edge n.
References n, and oomph::TAxisymmetricPoroelasticityElement< ORDER >::Sign_edge.
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inline |
Accessor for the unit normal sign of edge n (const version)
References n, and oomph::TAxisymmetricPoroelasticityElement< ORDER >::Sign_edge.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::edge_flux_interpolation_point().
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inlinevirtual |
Return the nodal index of the j-th solid displacement unknown [0: r; 1: z]
Implements oomph::AxisymmetricPoroelasticityEquations.
References j, OOMPH_CURRENT_FUNCTION, and OOMPH_EXCEPTION_LOCATION.
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inlinevirtual |
Pointer to the j-th vertex node in the element.
Reimplemented from oomph::FiniteElement.
References j.
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staticprivate |
Face index associated with edge flux degree of freedom.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::face_index_of_q_edge_basis_fct().
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staticprivate |
The points along each edge where the fluxes are taken to be.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::edge_flux_interpolation_point().
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staticprivate |
The number of values stored at each node.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::required_nvalue().
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private |
The internal data index where the p degrees of freedom are stored.
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::TAxisymmetricPoroelasticityElement().
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staticprivate |
Conversion scheme from an edge degree of freedom to the node it's stored at
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::edge_flux_interpolation_point_global(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::edge_flux_node_pt(), oomph::TAxisymmetricPoroelasticityElement< ORDER >::face_local_coordinate_of_flux_interpolation_point(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_edge_node_number().
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private |
The internal data index where the internal q degrees of freedom are stored
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::q_internal_index(), and oomph::TAxisymmetricPoroelasticityElement< ORDER >::TAxisymmetricPoroelasticityElement().
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private |
Unit normal signs associated with each edge to ensure inter-element continuity of the flux
Referenced by oomph::TAxisymmetricPoroelasticityElement< ORDER >::sign_edge().