Public Member Functions | Protected Member Functions | Static Protected Attributes | Private Member Functions | Private Attributes | Static Private Attributes | List of all members
oomph::TRaviartThomasDarcyElement< ORDER > Class Template Reference

#include <Tdarcy_elements.h>

+ Inheritance diagram for oomph::TRaviartThomasDarcyElement< ORDER >:

Public Member Functions

 TRaviartThomasDarcyElement ()
 Constructor. More...
 
 ~TRaviartThomasDarcyElement ()
 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 edge flux degree of freedom. More...
 
int q_edge_local_eqn (const unsigned &n) const
 Return the equation nunmber of the n-th edge (flux) degree of freedom. More...
 
int q_internal_local_eqn (const unsigned &n) const
 Return the equation number of the n-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 &n) const
 Return the nodal index at which the nth edge unknown is stored. More...
 
unsigned q_edge_node_number (const unsigned &n) const
 
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 &n) const
 Return the values of the edge (flux) degree of freedom. More...
 
double q_internal (const unsigned &n) const
 Return the values of the internal degree of freedom. More...
 
void set_q_edge (const unsigned &n, const double &value)
 Set the values of the edge (flux) degree of freedom. More...
 
void set_q_internal (const unsigned &n, const double &value)
 Set the values of the internal degree of freedom. More...
 
unsigned nq_basis_edge () const
 Return the number of edge basis functions for q. More...
 
unsigned nq_basis_internal () const
 Return the number of internal basis functions for q. More...
 
void get_q_basis_local (const Vector< double > &s, Shape &q_basis) const
 Return 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
 Return the local form of the q basis and dbasis/ds at local coordinate s. More...
 
unsigned nedge_flux_interpolation_point () const
 
Vector< double > edge_flux_interpolation_point (const unsigned &edge, const unsigned &n) const
 
void edge_flux_interpolation_point_global (const unsigned &j, Vector< double > &x) const
 
void edge_flux_interpolation_point_global (const unsigned &edge, const unsigned &n, Vector< double > &x) const
 
void pin_q_internal_value (const unsigned &n)
 Pin the nth internal q value. More...
 
int p_local_eqn (const unsigned &n) const
 Return the equation number of the n-th pressure degree of freedom. More...
 
double p_value (const unsigned &n) const
 Return the nth 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
 Compute the pressure basis. More...
 
void pin_p_value (const unsigned &n)
 Pin the nth pressure 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 &n, const double &value)
 Set the nth 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...
 
 TRaviartThomasDarcyElement ()
 
 ~TRaviartThomasDarcyElement ()
 Destructor. More...
 
unsigned nq_basis_edge () const
 Return the number of edge basis functions for q. More...
 
unsigned nq_basis_internal () const
 Return the number of internal basis functions for 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
 
int p_local_eqn (const unsigned &n) const
 Return the equation number of the n-th pressure degree of freedom. More...
 
double p_value (const unsigned &n) const
 Return the nth 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
 Compute the pressure basis. More...
 
unsigned nrecovery_order ()
 Recovery order for Z2 error estimator. More...
 
 TRaviartThomasDarcyElement ()
 
 ~TRaviartThomasDarcyElement ()
 Destructor. More...
 
unsigned nq_basis_edge () const
 Return the number of edge basis functions for q. More...
 
unsigned nq_basis_internal () const
 Return the number of internal basis functions for 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
 
int p_local_eqn (const unsigned &n) const
 Return the equation number of the n-th pressure degree of freedom. More...
 
double p_value (const unsigned &n) const
 Return the nth 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
 Compute the pressure basis. More...
 
unsigned nrecovery_order ()
 Recovery order for Z2 error estimator. More...
 
- Public Member Functions inherited from oomph::TElement< 2, 3 >
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...
 
- Public Member Functions inherited from oomph::DarcyEquations< 2 >
 DarcyEquations ()
 Constructor. More...
 
SourceFctPt & source_fct_pt ()
 Access function: Pointer to body force function. More...
 
SourceFctPt source_fct_pt () const
 Access function: Pointer to body 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 source (const Vector< double > &x, Vector< double > &b) const
 
void mass_source (const Vector< double > &x, double &b) const
 
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
 Returns the transformed basis at local coordinate s. More...
 
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 interpolated_q (const Vector< double > &s, Vector< double > &q) const
 Calculate the FE representation of q. More...
 
double interpolated_q (const Vector< double > &s, const unsigned i) const
 Calculate the FE representation of the i-th component of q. More...
 
void interpolated_div_q (const Vector< double > &s, double &div_q) const
 Calculate the FE representation of div q. More...
 
double interpolated_div_q (const Vector< double > &s)
 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...
 
virtual void pin_superfluous_darcy_dofs ()
 
unsigned self_test ()
 Self test – empty for now. More...
 
void output (std::ostream &outfile)
 Output with default number of plot points. More...
 
void output (std::ostream &outfile, const unsigned &nplot)
 
void output_with_projected_flux (std::ostream &outfile, const unsigned &nplot, const Vector< double > unit_normal)
 Output FE representation of soln: x,y,q1,q2,div_q,p,q \cdot n. More...
 
void output_fct (std::ostream &outfile, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
 
void compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)
 
unsigned num_Z2_flux_terms ()
 Number off flux terms for Z2 error estimator (use actual flux) More...
 
void get_Z2_flux (const Vector< double > &s, Vector< double > &flux)
 Z2 flux (use actual flux) More...
 
- Public Member Functions inherited from oomph::FiniteElement
void set_dimension (const unsigned &dim)
 
void set_nodal_dimension (const unsigned &nodal_dim)
 
void set_nnodal_position_type (const unsigned &nposition_type)
 Set the number of types required to interpolate the coordinate. More...
 
void set_n_node (const unsigned &n)
 
int nodal_local_eqn (const unsigned &n, const unsigned &i) const
 
double dJ_eulerian_at_knot (const unsigned &ipt, Shape &psi, DenseMatrix< double > &djacobian_dX) const
 
 FiniteElement ()
 Constructor. More...
 
virtual ~FiniteElement ()
 
 FiniteElement (const FiniteElement &)=delete
 Broken copy constructor. More...
 
virtual bool local_coord_is_valid (const Vector< double > &s)
 Broken assignment operator. More...
 
virtual void move_local_coord_back_into_element (Vector< double > &s) const
 
void get_centre_of_gravity_and_max_radius_in_terms_of_zeta (Vector< double > &cog, double &max_radius) const
 
virtual void local_coordinate_of_node (const unsigned &j, Vector< double > &s) const
 
virtual void local_fraction_of_node (const unsigned &j, Vector< double > &s_fraction)
 
virtual double local_one_d_fraction_of_node (const unsigned &n1d, const unsigned &i)
 
virtual void set_macro_elem_pt (MacroElement *macro_elem_pt)
 
MacroElement * macro_elem_pt ()
 Access function to pointer to macro element. More...
 
void get_x (const Vector< double > &s, Vector< double > &x) const
 
void get_x (const unsigned &t, const Vector< double > &s, Vector< double > &x)
 
virtual void get_x_from_macro_element (const Vector< double > &s, Vector< double > &x) const
 
virtual void get_x_from_macro_element (const unsigned &t, const Vector< double > &s, Vector< double > &x)
 
virtual void set_integration_scheme (Integral *const &integral_pt)
 Set the spatial integration scheme. More...
 
Integral *const & integral_pt () const
 Return the pointer to the integration scheme (const version) More...
 
virtual void shape (const Vector< double > &s, Shape &psi) const =0
 
virtual void shape_at_knot (const unsigned &ipt, Shape &psi) const
 
virtual void dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const
 
virtual void dshape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids) const
 
virtual void d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const
 
virtual void d2shape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids, DShape &d2psids) const
 
virtual double J_eulerian (const Vector< double > &s) const
 
virtual double J_eulerian_at_knot (const unsigned &ipt) const
 
void check_J_eulerian_at_knots (bool &passed) const
 
void check_jacobian (const double &jacobian) const
 
double dshape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx) const
 
virtual double dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx) const
 
virtual double dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsi, DenseMatrix< double > &djacobian_dX, RankFourTensor< double > &d_dpsidx_dX) const
 
double d2shape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx, DShape &d2psidx) const
 
virtual double d2shape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx, DShape &d2psidx) const
 
virtual void assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt)
 
virtual void describe_local_dofs (std::ostream &out, const std::string &current_string) const
 
virtual void describe_nodal_local_dofs (std::ostream &out, const std::string &current_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
 
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 (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, 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::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 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 &current_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 &parameter_pt, Vector< double > &dres_dparam)
 
virtual void get_djacobian_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam)
 
virtual void get_djacobian_and_dmass_matrix_dparameter (double *const &parameter_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 Member Functions inherited from oomph::ElementWithZ2ErrorEstimator
 ElementWithZ2ErrorEstimator ()
 Default empty constructor. More...
 
 ElementWithZ2ErrorEstimator (const ElementWithZ2ErrorEstimator &)=delete
 Broken copy constructor. More...
 
void operator= (const ElementWithZ2ErrorEstimator &)=delete
 Broken assignment operator. More...
 
virtual unsigned ncompound_fluxes ()
 
virtual void compute_exact_Z2_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_flux_pt, double &error, double &norm)
 
virtual void get_Z2_compound_flux_indices (Vector< unsigned > &flux_index)
 
virtual double geometric_jacobian (const Vector< double > &x)
 

Protected Member Functions

double shape_basis_test_local (const Vector< double > &s, Shape &psi, 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, Shape &q_basis, Shape &q_test, Shape &p_basis, Shape &p_test, Shape &div_q_basis_ds, Shape &div_q_test_ds) const
 
const unsigned Initial_Nvalue [6]
 
const unsigned Initial_Nvalue [6]
 
- Protected Member Functions inherited from oomph::DarcyEquations< 2 >
virtual void fill_in_generic_residual_contribution (Vector< double > &residuals, DenseMatrix< double > &jacobian, bool flag)
 Fill in residuals and, if flag==true, jacobian. More...
 
- 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)
 
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
 
- Protected Member Functions inherited from oomph::GeneralisedElement
unsigned add_internal_data (Data *const &data_pt, const bool &fd=true)
 
bool internal_data_fd (const unsigned &i) const
 
void exclude_internal_data_fd (const unsigned &i)
 
void include_internal_data_fd (const unsigned &i)
 
void clear_global_eqn_numbers ()
 
void add_global_eqn_numbers (std::deque< unsigned long > const &global_eqn_numbers, std::deque< double * > const &global_dof_pt)
 
virtual void assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)
 
virtual void assign_additional_local_eqn_numbers ()
 
int internal_local_eqn (const unsigned &i, const unsigned &j) const
 
int external_local_eqn (const unsigned &i, const unsigned &j)
 
void fill_in_jacobian_from_internal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false)
 
void fill_in_jacobian_from_internal_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false)
 
void fill_in_jacobian_from_external_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false)
 
void fill_in_jacobian_from_external_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false)
 
virtual void update_before_internal_fd ()
 
virtual void reset_after_internal_fd ()
 
virtual void update_in_internal_fd (const unsigned &i)
 
virtual void reset_in_internal_fd (const unsigned &i)
 
virtual void update_before_external_fd ()
 
virtual void reset_after_external_fd ()
 
virtual void update_in_external_fd (const unsigned &i)
 
virtual void reset_in_external_fd (const unsigned &i)
 
virtual void fill_in_contribution_to_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix)
 
virtual void fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)
 
virtual void fill_in_contribution_to_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)
 
virtual void fill_in_contribution_to_djacobian_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam)
 
virtual void fill_in_contribution_to_djacobian_and_dmass_matrix_dparameter (double *const &parameter_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)
 

Static Protected Attributes

static const unsigned Initial_Nvalue []
 The number of values stored at each node. More...
 
- Static Protected Attributes inherited from oomph::FiniteElement
static const unsigned Default_Initial_Nvalue = 0
 Default value for the number of values at a node. More...
 
static const double Node_location_tolerance = 1.0e-14
 
static const unsigned N2deriv [] = {0, 1, 3, 6}
 
- Static Protected Attributes inherited from oomph::GeneralisedElement
static DenseMatrix< double > Dummy_matrix
 
static std::deque< double * > Dof_pt_deque
 

Private Member Functions

const unsigned 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 Face_index_of_edge_flux [6]
 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 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 interpolated. More...
 

Additional Inherited Members

- Public Types inherited from oomph::DarcyEquations< 2 >
typedef void(* SourceFctPt) (const Vector< double > &x, Vector< double > &f)
 Source function pointer typedef. More...
 
typedef void(* MassSourceFctPt) (const Vector< double > &x, double &f)
 Mass source function pointer typedef. More...
 
- Public Types inherited from oomph::FiniteElement
typedef void(* SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &)
 
typedef void(* UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &)
 
- Static Public 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 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
 

Detailed Description

template<unsigned ORDER>
class oomph::TRaviartThomasDarcyElement< ORDER >

Element which solves the Darcy 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 and internal flux dofs.

Constructor & Destructor Documentation

◆ TRaviartThomasDarcyElement() [1/3]

template<unsigned ORDER>
oomph::TRaviartThomasDarcyElement< ORDER >::TRaviartThomasDarcyElement ( )

Constructor.

◆ ~TRaviartThomasDarcyElement() [1/3]

template<unsigned ORDER>
oomph::TRaviartThomasDarcyElement< ORDER >::~TRaviartThomasDarcyElement ( )

Destructor.

◆ TRaviartThomasDarcyElement() [2/3]

oomph::TRaviartThomasDarcyElement< 0 >::TRaviartThomasDarcyElement ( )

/////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////// Lowest-order Raviart-Thomas based Darcy equation element /////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////// Constructor. Order 0 elements have 1 pressure dof and no internal velocity dofs

43  : TElement<2, 3>(), DarcyEquations<2>(), Sign_edge(3, 1)
44  {
45  P_internal_data_index = this->add_internal_data(new Data(1));
46  }
oomph::GeneralisedElement::add_internal_data
unsigned add_internal_data(Data *const &data_pt, const bool &fd=true)
Definition: elements.cc:62
oomph::TRaviartThomasDarcyElement::Sign_edge
std::vector< short > Sign_edge
Definition: Tdarcy_elements.h:70
oomph::TRaviartThomasDarcyElement::P_internal_data_index
unsigned P_internal_data_index
The internal data index where the p degrees of freedom are stored.
Definition: Tdarcy_elements.h:66

References oomph::GeneralisedElement::add_internal_data(), and oomph::TRaviartThomasDarcyElement< ORDER >::P_internal_data_index.

◆ ~TRaviartThomasDarcyElement() [2/3]

oomph::TRaviartThomasDarcyElement< 0 >::~TRaviartThomasDarcyElement ( )

Destructor.

53  {
54  }

◆ TRaviartThomasDarcyElement() [3/3]

oomph::TRaviartThomasDarcyElement< 1 >::TRaviartThomasDarcyElement ( )

/////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////// Second-order Raviart-Thomas based Darcy equation element /////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////// Constructor. Order 1 elements have 3 pressure dofs and 2 internal velocity dofs

216  : TElement<2, 3>(), DarcyEquations<2>(), Sign_edge(3, 1)
217  {
218  // RT_1 elements have 2 internal degrees of freedom for q, and 3 for p
219  Q_internal_data_index = this->add_internal_data(new Data(2));
220  P_internal_data_index = this->add_internal_data(new Data(3));
221  }
oomph::TRaviartThomasDarcyElement::Q_internal_data_index
unsigned Q_internal_data_index
Definition: Tdarcy_elements.h:63

References oomph::GeneralisedElement::add_internal_data(), oomph::TRaviartThomasDarcyElement< ORDER >::P_internal_data_index, and oomph::TRaviartThomasDarcyElement< ORDER >::Q_internal_data_index.

◆ ~TRaviartThomasDarcyElement() [3/3]

oomph::TRaviartThomasDarcyElement< 1 >::~TRaviartThomasDarcyElement ( )

Destructor.

228  {
229  }

Member Function Documentation

◆ edge_flux_interpolation_point()

template<unsigned ORDER>
Vector<double> oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_interpolation_point ( const unsigned &  edge,
const unsigned &  n 
) const
inlinevirtual

Return the local coordinate of the nth flux interpolation point along an edge

Implements oomph::DarcyEquations< 2 >.

228  {
229  Vector<double> coord(1);
230  coord[0] = (1.0 - sign_edge(edge)) / 2.0 +
231  sign_edge(edge) * Flux_interpolation_point[n];
232  return coord;
233  }
n
const unsigned n
Definition: CG3DPackingUnitTest.cpp:11
oomph::TRaviartThomasDarcyElement::sign_edge
const short & sign_edge(const unsigned &n) const
Accessor for the unit normal sign of edge n (const version)
Definition: Tdarcy_elements.h:366
oomph::TRaviartThomasDarcyElement::Flux_interpolation_point
static const double Flux_interpolation_point[]
The points along each edge where the fluxes are interpolated.
Definition: Tdarcy_elements.h:59

References oomph::TRaviartThomasDarcyElement< ORDER >::Flux_interpolation_point, n, and oomph::TRaviartThomasDarcyElement< ORDER >::sign_edge().

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_interpolation_point_global(), and oomph::TRaviartThomasDarcyElement< ORDER >::face_local_coordinate_of_flux_interpolation_point().

◆ edge_flux_interpolation_point_global() [1/2]

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_interpolation_point_global ( const unsigned &  edge,
const unsigned &  n,
Vector< double > &  x 
) const
inlinevirtual

Compute the global coordinates of the nth flux interpolation point along an edge

Implements oomph::DarcyEquations< 2 >.

252  {
253  // Get the location of the n-th flux interpolation point along
254  // the edge in terms of the distance along the edge itself
255  Vector<double> flux_interpolation_point =
256  edge_flux_interpolation_point(edge, n);
257 
258  // Convert the edge number to the number of the mid-edge node along that
259  // edge
260  unsigned node_number = Q_edge_conv[edge];
261 
262  // Storage for the local coords of the flux_interpolation point
263  Vector<double> s_flux_interpolation(2, 0.0);
264 
265  // The edge basis functions are defined in a clockwise manner, so we have
266  // to effectively "flip" the coordinates along edges 0 and 1 to match this
267  switch (node_number)
268  {
269  case 3:
270  s_flux_interpolation[0] = 1.0 - flux_interpolation_point[0];
271  s_flux_interpolation[1] = flux_interpolation_point[0];
272  break;
273  case 4:
274  s_flux_interpolation[0] = 0.0;
275  s_flux_interpolation[1] = 1.0 - flux_interpolation_point[0];
276  break;
277  case 5:
278  s_flux_interpolation[0] = flux_interpolation_point[0];
279  s_flux_interpolation[1] = 0.0;
280  break;
281  }
282 
283  // Calculate the global coordinates from the local ones
284  interpolated_x(s_flux_interpolation, x);
285  }
oomph::FiniteElement::interpolated_x
virtual double interpolated_x(const Vector< double > &s, const unsigned &i) const
Return FE interpolated coordinate x[i] at local coordinate s.
Definition: elements.cc:3962
oomph::TRaviartThomasDarcyElement::Q_edge_conv
static const unsigned Q_edge_conv[]
Definition: Tdarcy_elements.h:56
oomph::TRaviartThomasDarcyElement::edge_flux_interpolation_point
Vector< double > edge_flux_interpolation_point(const unsigned &edge, const unsigned &n) const
Definition: Tdarcy_elements.h:226
plotDoE.x
list x
Definition: plotDoE.py:28

References oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_interpolation_point(), oomph::FiniteElement::interpolated_x(), n, oomph::TRaviartThomasDarcyElement< ORDER >::Q_edge_conv, and plotDoE::x.

◆ edge_flux_interpolation_point_global() [2/2]

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_interpolation_point_global ( const unsigned &  j,
Vector< double > &  x 
) const
inlinevirtual

Compute the global coordinates of the flux interpolation point associated with the j-th edge-based q basis fct

Implements oomph::DarcyEquations< 2 >.

240  {
241  unsigned n = j % nedge_flux_interpolation_point();
242  unsigned edge = (j - n) / nedge_flux_interpolation_point();
243  edge_flux_interpolation_point_global(edge, n, x);
244  }
oomph::TRaviartThomasDarcyElement::edge_flux_interpolation_point_global
void edge_flux_interpolation_point_global(const unsigned &j, Vector< double > &x) const
Definition: Tdarcy_elements.h:238
oomph::TRaviartThomasDarcyElement::nedge_flux_interpolation_point
unsigned nedge_flux_interpolation_point() const
j
std::ptrdiff_t j
Definition: tut_arithmetic_redux_minmax.cpp:2

References j, n, oomph::TRaviartThomasDarcyElement< ORDER >::nedge_flux_interpolation_point(), and plotDoE::x.

◆ edge_flux_node_pt()

template<unsigned ORDER>
Node* oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_node_pt ( const unsigned &  edge)
inline

Get pointer to node that stores the edge flux dofs for specified edge.

179  {
180  return node_pt(Q_edge_conv[edge]);
181  }
oomph::FiniteElement::node_pt
Node *& node_pt(const unsigned &n)
Return a pointer to the local node n.
Definition: elements.h:2175

References oomph::FiniteElement::node_pt(), and oomph::TRaviartThomasDarcyElement< ORDER >::Q_edge_conv.

◆ face_index_of_edge()

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::face_index_of_edge ( const unsigned &  j) const
inlinevirtual

Return the face index associated with specified edge.

Implements oomph::DarcyEquations< 2 >.

87  {
88  return (j + 2) % 3;
89  }

References j.

◆ Face_index_of_edge_flux() [1/2]

const unsigned oomph::TRaviartThomasDarcyElement< 0 >::Face_index_of_edge_flux
private

Face index associated with edge flux degree of freedom.

◆ Face_index_of_edge_flux() [2/2]

const unsigned oomph::TRaviartThomasDarcyElement< 1 >::Face_index_of_edge_flux
private

Face index associated with edge flux degree of freedom.

◆ face_index_of_q_edge_basis_fct()

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::face_index_of_q_edge_basis_fct ( const unsigned &  j) const
inlinevirtual

Return the face index associated with edge flux degree of freedom.

Implements oomph::DarcyEquations< 2 >.

123  {
124  return Face_index_of_edge_flux[j];
125  }
oomph::TRaviartThomasDarcyElement::Face_index_of_edge_flux
static const unsigned Face_index_of_edge_flux[]
Face index associated with edge flux degree of freedom.
Definition: Tdarcy_elements.h:52

References oomph::TRaviartThomasDarcyElement< ORDER >::Face_index_of_edge_flux, and j.

◆ face_local_coordinate_of_flux_interpolation_point()

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::face_local_coordinate_of_flux_interpolation_point ( const unsigned &  edge,
const unsigned &  n,
Vector< double > &  s 
) const
inlinevirtual

Compute the face element coordinates of the nth flux interpolation point along specified edge

Implements oomph::DarcyEquations< 2 >.

95  {
96  // Get the location of the n-th flux interpolation point along
97  // the edge in terms of the distance along the edge itself
98  Vector<double> flux_interpolation_point =
99  edge_flux_interpolation_point(edge, n);
100 
101  // Convert the edge number to the number of the mid-edge node along that
102  // edge
103  unsigned node_number = Q_edge_conv[edge];
104 
105  // The edge basis functions are defined in a clockwise manner, so we have
106  // to effectively "flip" some coordinates
107  switch (node_number)
108  {
109  case 3:
110  s[0] = flux_interpolation_point[0];
111  break;
112  case 4:
113  s[0] = 1.0 - flux_interpolation_point[0];
114  break;
115  case 5:
116  s[0] = flux_interpolation_point[0];
117  break;
118  }
119  }
s
RealScalar s
Definition: level1_cplx_impl.h:130

References oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_interpolation_point(), n, oomph::TRaviartThomasDarcyElement< ORDER >::Q_edge_conv, and s.

◆ Flux_interpolation_point() [1/2]

const double oomph::TRaviartThomasDarcyElement< 0 >::Flux_interpolation_point
private

The points along each edge where the fluxes are taken to be.

◆ Flux_interpolation_point() [2/2]

const double oomph::TRaviartThomasDarcyElement< 1 >::Flux_interpolation_point
private

The points along each edge where the fluxes are taken to be.

References sqrt().

◆ get_div_q_basis_local() [1/3]

void oomph::TRaviartThomasDarcyElement< 0 >::get_div_q_basis_local ( const Vector< double > &  s,
Shape &  div_q_basis_ds 
) const
virtual

Compute the local form of the q basis and dbasis/ds at local coordinate s.

Implements oomph::DarcyEquations< 2 >.

100  {
101  div_q_basis_ds(0) = Sign_edge[0] * 2 * std::sqrt(2);
102  div_q_basis_ds(1) = Sign_edge[1] * 2;
103  div_q_basis_ds(2) = Sign_edge[2] * 2;
104 
105  // Scale the basis by the ratio of the length of the edge to the length of
106  // the corresponding edge on the reference element
107  // hierher explain please
108  scale_basis(div_q_basis_ds);
109  }
sqrt
AnnoyingScalar sqrt(const AnnoyingScalar &x)
Definition: AnnoyingScalar.h:134
oomph::TRaviartThomasDarcyElement::scale_basis
void scale_basis(Shape &basis) const
Scale the edge basis to allow arbitrary edge mappings.
Definition: Tdarcy_elements.h:325

References sqrt().

◆ get_div_q_basis_local() [2/3]

void oomph::TRaviartThomasDarcyElement< 1 >::get_div_q_basis_local ( const Vector< double > &  s,
Shape &  div_q_basis_ds 
) const
virtual

Compute the local form of the q basis and dbasis/ds at local coordinate s.

Implements oomph::DarcyEquations< 2 >.

310  {
311  Vector<double> g1_vect = edge_flux_interpolation_point(0, 0);
312  Vector<double> g2_vect = edge_flux_interpolation_point(0, 1);
313  double g1 = g1_vect[0];
314  double g2 = g2_vect[0];
315  div_q_basis_ds(0) =
316  Sign_edge[0] * std::sqrt(2.0) * (3.0 * s[1] - 2.0 * g2) / (g1 - g2);
317  div_q_basis_ds(1) =
318  Sign_edge[0] * std::sqrt(2.0) * (2.0 * g1 - 3.0 * s[1]) / (g1 - g2);
319 
320 
321  g1_vect = edge_flux_interpolation_point(1, 0);
322  g2_vect = edge_flux_interpolation_point(1, 1);
323  g1 = g1_vect[0];
324  g2 = g2_vect[0];
325  div_q_basis_ds(2) = Sign_edge[1] * (2.0 * g1 - 3.0 * s[1]) / (g1 - g2);
326  div_q_basis_ds(3) = Sign_edge[1] * (3.0 * s[1] - 2.0 * g2) / (g1 - g2);
327 
328 
329  g1_vect = edge_flux_interpolation_point(2, 0);
330  g2_vect = edge_flux_interpolation_point(2, 1);
331  g1 = g1_vect[0];
332  g2 = g2_vect[0];
333  div_q_basis_ds(4) = Sign_edge[2] * (3.0 * s[0] - 2.0 * g2) / (g1 - g2);
334  div_q_basis_ds(5) = Sign_edge[2] * (2.0 * g1 - 3.0 * s[0]) / (g1 - g2);
335 
336  div_q_basis_ds(6) = 3.0 * s[1] - 1.0;
337  div_q_basis_ds(7) = 3.0 * s[0] - 1.0;
338 
339  // Scale the basis by the ratio of the length of the edge to the length of
340  // the corresponding edge on the reference element
341  scale_basis(div_q_basis_ds);
342  }

References s, and sqrt().

◆ get_div_q_basis_local() [3/3]

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::get_div_q_basis_local ( const Vector< double > &  s,
Shape &  div_q_basis_ds 
) const
virtual

Return the local form of the q basis and dbasis/ds at local coordinate s.

Implements oomph::DarcyEquations< 2 >.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::shape_basis_test_local().

◆ get_p_basis() [1/3]

void oomph::TRaviartThomasDarcyElement< 0 >::get_p_basis ( const Vector< double > &  s,
Shape &  p_basis 
) const
virtual

Compute the pressure basis.

Implements oomph::DarcyEquations< 2 >.

154  {
155  p_basis(0) = 1.0;
156  }

◆ get_p_basis() [2/3]

void oomph::TRaviartThomasDarcyElement< 1 >::get_p_basis ( const Vector< double > &  s,
Shape &  p_basis 
) const
virtual

Compute the pressure basis.

Implements oomph::DarcyEquations< 2 >.

387  {
388  p_basis(0) = 1.0;
389  p_basis(1) = s[0];
390  p_basis(2) = s[1];
391  }

References s.

◆ get_p_basis() [3/3]

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::get_p_basis ( const Vector< double > &  s,
Shape &  p_basis 
) const
virtual

Compute the pressure basis.

Implements oomph::DarcyEquations< 2 >.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::shape_basis_test_local().

◆ get_q_basis_local() [1/3]

void oomph::TRaviartThomasDarcyElement< 0 >::get_q_basis_local ( const Vector< double > &  s,
Shape &  q_basis 
) const
virtual

Compute the local form of the q basis at local coordinate s.

Implements oomph::DarcyEquations< 2 >.

82  {
83  // RT_0 basis functions
84  q_basis(0, 0) = Sign_edge[0] * std::sqrt(2) * s[0];
85  q_basis(0, 1) = Sign_edge[0] * std::sqrt(2) * s[1];
86 
87  q_basis(1, 0) = Sign_edge[1] * (s[0] - 1);
88  q_basis(1, 1) = Sign_edge[1] * s[1];
89 
90  q_basis(2, 0) = Sign_edge[2] * s[0];
91  q_basis(2, 1) = Sign_edge[2] * (s[1] - 1);
92  }

References s, and sqrt().

◆ get_q_basis_local() [2/3]

void oomph::TRaviartThomasDarcyElement< 1 >::get_q_basis_local ( const Vector< double > &  s,
Shape &  q_basis 
) const
virtual

Compute the local form of the q basis at local coordinate s.

Implements oomph::DarcyEquations< 2 >.

257  {
258  // RT_1 basis functions
259 
260  Vector<double> g1_vect = edge_flux_interpolation_point(0, 0);
261  Vector<double> g2_vect = edge_flux_interpolation_point(0, 1);
262  double g1 = g1_vect[0];
263  double g2 = g2_vect[0];
264  q_basis(0, 0) =
265  Sign_edge[0] * std::sqrt(2.0) * s[0] * (s[1] - g2) / (g1 - g2);
266  q_basis(0, 1) =
267  Sign_edge[0] * std::sqrt(2.0) * s[1] * (s[1] - g2) / (g1 - g2);
268 
269  q_basis(1, 0) =
270  Sign_edge[0] * std::sqrt(2.0) * s[0] * (s[1] - g1) / (g2 - g1);
271  q_basis(1, 1) =
272  Sign_edge[0] * std::sqrt(2.0) * s[1] * (s[1] - g1) / (g2 - g1);
273 
274 
275  g1_vect = edge_flux_interpolation_point(1, 0);
276  g2_vect = edge_flux_interpolation_point(1, 1);
277  g1 = g1_vect[0];
278  g2 = g2_vect[0];
279  q_basis(2, 0) = Sign_edge[1] * (s[0] - 1.0) * (s[1] - g1) / (g2 - g1);
280  q_basis(2, 1) = Sign_edge[1] * s[1] * (s[1] - g1) / (g2 - g1);
281 
282  q_basis(3, 0) = Sign_edge[1] * (s[0] - 1.0) * (s[1] - g2) / (g1 - g2);
283  q_basis(3, 1) = Sign_edge[1] * s[1] * (s[1] - g2) / (g1 - g2);
284 
285 
286  g1_vect = edge_flux_interpolation_point(2, 0);
287  g2_vect = edge_flux_interpolation_point(2, 1);
288  g1 = g1_vect[0];
289  g2 = g2_vect[0];
290  q_basis(4, 0) = Sign_edge[2] * s[0] * (s[0] - g2) / (g1 - g2);
291  q_basis(4, 1) = Sign_edge[2] * (s[1] - 1.0) * (s[0] - g2) / (g1 - g2);
292 
293  q_basis(5, 0) = Sign_edge[2] * s[0] * (s[0] - g1) / (g2 - g1);
294  q_basis(5, 1) = Sign_edge[2] * (s[1] - 1.0) * (s[0] - g1) / (g2 - g1);
295 
296  q_basis(6, 0) = s[1] * s[0];
297  q_basis(6, 1) = s[1] * (s[1] - 1.0);
298 
299  q_basis(7, 0) = s[0] * (s[0] - 1.0);
300  q_basis(7, 1) = s[0] * s[1];
301  }

References s, and sqrt().

◆ get_q_basis_local() [3/3]

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::get_q_basis_local ( const Vector< double > &  s,
Shape &  q_basis 
) const
virtual

Return the local form of the q basis at local coordinate s.

Implements oomph::DarcyEquations< 2 >.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::shape_basis_test_local().

◆ Initial_Nvalue() [1/2]

const unsigned oomph::TRaviartThomasDarcyElement< 0 >::Initial_Nvalue
protected

The number of values stored at each node: A single flux dof is stored at each midside node

◆ Initial_Nvalue() [2/2]

const unsigned oomph::TRaviartThomasDarcyElement< 1 >::Initial_Nvalue
protected

The number of values stored at each node. Two flux values are stored at each midside node.

◆ nedge_flux_interpolation_point() [1/3]

unsigned oomph::TRaviartThomasDarcyElement< 0 >::nedge_flux_interpolation_point ( ) const
virtual

Return the number of flux interpolation points along each edge of the element

Implements oomph::DarcyEquations< 2 >.

117  {
118  return 1;
119  }

◆ nedge_flux_interpolation_point() [2/3]

unsigned oomph::TRaviartThomasDarcyElement< 1 >::nedge_flux_interpolation_point ( ) const
virtual

Return the number of flux_interpolation points along each edge of the element

Implements oomph::DarcyEquations< 2 >.

350  {
351  return 2;
352  }

◆ nedge_flux_interpolation_point() [3/3]

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::nedge_flux_interpolation_point ( ) const
virtual

Return the number of flux interpolation points along each edge of the element

Implements oomph::DarcyEquations< 2 >.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_interpolation_point_global().

◆ np_basis() [1/3]

unsigned oomph::TRaviartThomasDarcyElement< 0 >::np_basis ( ) const
virtual

Return the total number of pressure basis functions.

Implements oomph::DarcyEquations< 2 >.

144  {
145  return 1;
146  }

◆ np_basis() [2/3]

unsigned oomph::TRaviartThomasDarcyElement< 1 >::np_basis ( ) const
virtual

Return the total number of pressure basis functions.

Implements oomph::DarcyEquations< 2 >.

377  {
378  return 3;
379  }

◆ np_basis() [3/3]

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::np_basis ( ) const
virtual

Return the total number of pressure basis functions.

Implements oomph::DarcyEquations< 2 >.

◆ nq_basis_edge() [1/3]

unsigned oomph::TRaviartThomasDarcyElement< 0 >::nq_basis_edge ( ) const
virtual

Return the number of edge basis functions for q.

Implements oomph::DarcyEquations< 2 >.

62  {
63  return 3;
64  }

◆ nq_basis_edge() [2/3]

unsigned oomph::TRaviartThomasDarcyElement< 1 >::nq_basis_edge ( ) const
virtual

Return the number of edge basis functions for q.

Implements oomph::DarcyEquations< 2 >.

237  {
238  return 6;
239  }

◆ nq_basis_edge() [3/3]

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::nq_basis_edge ( ) const
virtual

Return the number of edge basis functions for q.

Implements oomph::DarcyEquations< 2 >.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::scale_basis().

◆ nq_basis_internal() [1/3]

unsigned oomph::TRaviartThomasDarcyElement< 0 >::nq_basis_internal ( ) const
virtual

Return the number of internal basis functions for q.

Implements oomph::DarcyEquations< 2 >.

72  {
73  return 0;
74  }

◆ nq_basis_internal() [2/3]

unsigned oomph::TRaviartThomasDarcyElement< 1 >::nq_basis_internal ( ) const
virtual

Return the number of internal basis functions for q.

Implements oomph::DarcyEquations< 2 >.

247  {
248  return 2;
249  }

◆ nq_basis_internal() [3/3]

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::nq_basis_internal ( ) const
virtual

Return the number of internal basis functions for q.

Implements oomph::DarcyEquations< 2 >.

◆ nrecovery_order() [1/3]

unsigned oomph::TRaviartThomasDarcyElement< 0 >::nrecovery_order ( )
virtual

Recovery order for Z2 error estimator.

Implements oomph::ElementWithZ2ErrorEstimator.

164  {
165  return 2; // Need to experiment with this...
166  }

◆ nrecovery_order() [2/3]

unsigned oomph::TRaviartThomasDarcyElement< 1 >::nrecovery_order ( )
virtual

Recovery order for Z2 error estimator.

Implements oomph::ElementWithZ2ErrorEstimator.

399  {
400  return 2; // Need to experiment with this...
401  }

◆ nrecovery_order() [3/3]

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::nrecovery_order ( )
virtual

Recovery order for Z2 error estimator.

Implements oomph::ElementWithZ2ErrorEstimator.

◆ nvertex_node()

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::nvertex_node ( ) const
inlinevirtual

Number of vertex nodes in the element.

Reimplemented from oomph::FiniteElement.

392  {
393  return TElement<2, 3>::nvertex_node();
394  }

◆ output() [1/2]

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::output ( std::ostream &  outfile)
inlinevirtual

Output with default number of plot points.

Reimplemented from oomph::FiniteElement.

379  {
380  DarcyEquations<2>::output(outfile);
381  }
oomph::DarcyEquations::output
void output(std::ostream &outfile)
Output with default number of plot points.
Definition: darcy_elements.h:423

References oomph::DarcyEquations< DIM >::output().

◆ output() [2/2]

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::output ( std::ostream &  outfile,
const unsigned &  Nplot 
)
inlinevirtual

Output FE representation of soln: x,y,u1,u2,div_q,p at Nplot^DIM plot points

Reimplemented from oomph::FiniteElement.

386  {
387  DarcyEquations<2>::output(outfile, Nplot);
388  }

References oomph::DarcyEquations< DIM >::output().

◆ p_data_pt()

template<unsigned ORDER>
Data* oomph::TRaviartThomasDarcyElement< ORDER >::p_data_pt ( ) const
inlinevirtual

Return pointer to the Data object that stores the pressure values.

Implements oomph::DarcyEquations< 2 >.

313  {
314  return this->internal_data_pt(P_internal_data_index);
315  }
oomph::GeneralisedElement::internal_data_pt
Data *& internal_data_pt(const unsigned &i)
Return a pointer to i-th internal data object.
Definition: elements.h:622

References oomph::GeneralisedElement::internal_data_pt().

◆ p_local_eqn() [1/3]

int oomph::TRaviartThomasDarcyElement< 0 >::p_local_eqn ( const unsigned &  n) const
virtual

Return the equation number of the n-th pressure degree of freedom.

Implements oomph::DarcyEquations< 2 >.

126  {
127  return this->internal_local_eqn(P_internal_data_index, n);
128  }
oomph::GeneralisedElement::internal_local_eqn
int internal_local_eqn(const unsigned &i, const unsigned &j) const
Definition: elements.h:267

References n.

◆ p_local_eqn() [2/3]

int oomph::TRaviartThomasDarcyElement< 1 >::p_local_eqn ( const unsigned &  n) const
virtual

Return the equation number of the n-th pressure degree of freedom.

Implements oomph::DarcyEquations< 2 >.

359  {
360  return this->internal_local_eqn(P_internal_data_index, n);
361  }

References n.

◆ p_local_eqn() [3/3]

template<unsigned ORDER>
int oomph::TRaviartThomasDarcyElement< ORDER >::p_local_eqn ( const unsigned &  n) const
virtual

Return the equation number of the n-th pressure degree of freedom.

Implements oomph::DarcyEquations< 2 >.

◆ p_value() [1/3]

double oomph::TRaviartThomasDarcyElement< 0 >::p_value ( const unsigned &  n) const
virtual

Return the nth pressure value.

Implements oomph::DarcyEquations< 2 >.

135  {
136  return this->internal_data_pt(P_internal_data_index)->value(n);
137  }
oomph::Data::value
double value(const unsigned &i) const
Definition: nodes.h:293

References n.

◆ p_value() [2/3]

double oomph::TRaviartThomasDarcyElement< 1 >::p_value ( const unsigned &  n) const
virtual

Return the nth pressure value.

Implements oomph::DarcyEquations< 2 >.

368  {
369  return this->internal_data_pt(P_internal_data_index)->value(n);
370  }

References n.

◆ p_value() [3/3]

template<unsigned ORDER>
double oomph::TRaviartThomasDarcyElement< ORDER >::p_value ( const unsigned &  n) const
virtual

Return the nth pressure value.

Implements oomph::DarcyEquations< 2 >.

◆ pin_p_value()

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::pin_p_value ( const unsigned &  n)
inlinevirtual

Pin the nth pressure value.

Implements oomph::DarcyEquations< 2 >.

307  {
308  this->internal_data_pt(P_internal_data_index)->pin(n);
309  }
oomph::Data::pin
void pin(const unsigned &i)
Pin the i-th stored variable.
Definition: nodes.h:385

References oomph::GeneralisedElement::internal_data_pt(), n, and oomph::Data::pin().

◆ pin_q_internal_value()

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::pin_q_internal_value ( const unsigned &  n)
inlinevirtual

Pin the nth internal q value.

Implements oomph::DarcyEquations< 2 >.

289  {
290  this->internal_data_pt(q_internal_index())->pin(n);
291  }
oomph::TRaviartThomasDarcyElement::q_internal_index
unsigned q_internal_index() const
Definition: Tdarcy_elements.h:159

References oomph::GeneralisedElement::internal_data_pt(), oomph::Data::pin(), and oomph::TRaviartThomasDarcyElement< ORDER >::q_internal_index().

◆ q_edge()

template<unsigned ORDER>
double oomph::TRaviartThomasDarcyElement< ORDER >::q_edge ( const unsigned &  n) const
inlinevirtual

Return the values of the edge (flux) degree of freedom.

Implements oomph::DarcyEquations< 2 >.

185  {
186  return nodal_value(q_edge_node_number(n), q_edge_index(n));
187  }
oomph::FiniteElement::nodal_value
double nodal_value(const unsigned &n, const unsigned &i) const
Definition: elements.h:2593
oomph::TRaviartThomasDarcyElement::q_edge_index
unsigned q_edge_index(const unsigned &n) const
Return the nodal index at which the nth edge unknown is stored.
Definition: Tdarcy_elements.h:165
oomph::TRaviartThomasDarcyElement::q_edge_node_number
unsigned q_edge_node_number(const unsigned &n) const
Definition: Tdarcy_elements.h:172

References n, oomph::FiniteElement::nodal_value(), oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_index(), and oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_node_number().

◆ Q_edge_conv() [1/2]

const unsigned oomph::TRaviartThomasDarcyElement< 0 >::Q_edge_conv
private

Conversion scheme from an edge degree of freedom to the node it's stored at Fluxes are stored at mid-side nodes

◆ Q_edge_conv() [2/2]

const unsigned oomph::TRaviartThomasDarcyElement< 1 >::Q_edge_conv
private

Conversion scheme from an edge degree of freedom to the node it's stored at Fluxes are stored at midside nodes

◆ q_edge_data_pt()

template<unsigned ORDER>
Vector<Data*> oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_data_pt ( ) const
inlinevirtual

Return vector of pointers to the Data objects that store the edge flux values

Implements oomph::DarcyEquations< 2 >.

142  {
143  // It's the mid-side nodes:
144  Vector<Data*> data_pt(3);
145  data_pt[0] = node_pt(3);
146  data_pt[1] = node_pt(4);
147  data_pt[2] = node_pt(5);
148  return data_pt;
149  }

References oomph::FiniteElement::node_pt().

◆ q_edge_index()

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_index ( const unsigned &  n) const
inlinevirtual

Return the nodal index at which the nth edge unknown is stored.

Implements oomph::DarcyEquations< 2 >.

166  {
167  return n % (ORDER + 1);
168  }

References n.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::q_edge(), oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_local_eqn(), and oomph::TRaviartThomasDarcyElement< ORDER >::set_q_edge().

◆ q_edge_local_eqn()

template<unsigned ORDER>
int oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_local_eqn ( const unsigned &  n) const
inlinevirtual

Return the equation nunmber of the n-th edge (flux) degree of freedom.

Implements oomph::DarcyEquations< 2 >.

129  {
130  return this->nodal_local_eqn(q_edge_node_number(n), q_edge_index(n));
131  }
oomph::FiniteElement::nodal_local_eqn
int nodal_local_eqn(const unsigned &n, const unsigned &i) const
Definition: elements.h:1432

References n, oomph::FiniteElement::nodal_local_eqn(), oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_index(), and oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_node_number().

◆ q_edge_node_number()

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_node_number ( const unsigned &  n) const
inlinevirtual

Return the local node number of the node where the nth edge unknown is stored

Implements oomph::DarcyEquations< 2 >.

173  {
174  return Q_edge_conv[n / (ORDER + 1)];
175  }

References n, and oomph::TRaviartThomasDarcyElement< ORDER >::Q_edge_conv.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::q_edge(), oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_local_eqn(), and oomph::TRaviartThomasDarcyElement< ORDER >::set_q_edge().

◆ q_internal()

template<unsigned ORDER>
double oomph::TRaviartThomasDarcyElement< ORDER >::q_internal ( const unsigned &  n) const
inlinevirtual

Return the values of the internal degree of freedom.

Implements oomph::DarcyEquations< 2 >.

191  {
192  return this->internal_data_pt(q_internal_index())->value(n);
193  }

References oomph::GeneralisedElement::internal_data_pt(), oomph::TRaviartThomasDarcyElement< ORDER >::q_internal_index(), and oomph::Data::value().

◆ q_internal_data_pt()

template<unsigned ORDER>
Data* oomph::TRaviartThomasDarcyElement< ORDER >::q_internal_data_pt ( ) const
inlinevirtual

Return pointer to the Data object that stores the internal flux values.

Implements oomph::DarcyEquations< 2 >.

153  {
154  return this->internal_data_pt(Q_internal_data_index);
155  }

References oomph::GeneralisedElement::internal_data_pt().

◆ q_internal_index()

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::q_internal_index ( ) const
inlinevirtual

Return the index of the internal data where the q_internal degrees of freedom are stored

Implements oomph::DarcyEquations< 2 >.

160  {
161  return Q_internal_data_index;
162  }

References oomph::TRaviartThomasDarcyElement< ORDER >::Q_internal_data_index.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::pin_q_internal_value(), oomph::TRaviartThomasDarcyElement< ORDER >::q_internal(), oomph::TRaviartThomasDarcyElement< ORDER >::q_internal_local_eqn(), and oomph::TRaviartThomasDarcyElement< ORDER >::set_q_internal().

◆ q_internal_local_eqn()

template<unsigned ORDER>
int oomph::TRaviartThomasDarcyElement< ORDER >::q_internal_local_eqn ( const unsigned &  n) const
inlinevirtual

Return the equation number of the n-th internal degree of freedom.

Implements oomph::DarcyEquations< 2 >.

135  {
136  return internal_local_eqn(q_internal_index(), n);
137  }

References oomph::GeneralisedElement::internal_local_eqn(), n, and oomph::TRaviartThomasDarcyElement< ORDER >::q_internal_index().

◆ required_nvalue()

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::required_nvalue ( const unsigned &  n) const
inlinevirtual

Number of values required at node n.

Implements oomph::DarcyEquations< 2 >.

81  {
82  return Initial_Nvalue[n];
83  }
oomph::TRaviartThomasDarcyElement::Initial_Nvalue
static const unsigned Initial_Nvalue[]
The number of values stored at each node.
Definition: Tdarcy_elements.h:462

References oomph::TRaviartThomasDarcyElement< ORDER >::Initial_Nvalue, and n.

◆ scale_basis()

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::scale_basis ( Shape &  basis) const
inlinevirtual

Scale the edge basis to allow arbitrary edge mappings.

Implements oomph::DarcyEquations< 2 >.

326  {
327  // Storage for the lengths of the edges of the element
328  Vector<double> length(3, 0.0);
329 
330  // Temporary storage for the vertex positions
331  double x0, y0, x1, y1;
332 
333  // loop over the edges of the element and calculate their lengths (in x-y
334  // space)
335  for (unsigned i = 0; i < 3; i++)
336  {
337  x0 = this->node_pt(i)->x(0);
338  y0 = this->node_pt(i)->x(1);
339  x1 = this->node_pt((i + 1) % 3)->x(0);
340  y1 = this->node_pt((i + 1) % 3)->x(1);
341 
342  length[i] = std::sqrt(std::pow(y1 - y0, 2) + std::pow(x1 - x0, 2));
343  }
344 
345  // lengths of the sides of the reference element (in the same order as the
346  // basis functions)
347  const double ref_length[3] = {std::sqrt(2.0), 1, 1};
348 
349  // get the number of basis functions associated with the edges
350  unsigned n_q_basis_edge = nq_basis_edge();
351 
352  // rescale the edge basis functions to allow arbitrary edge mappings from
353  // element to ref. element
354  const unsigned n_index2 = basis.nindex2();
355  for (unsigned i = 0; i < n_index2; i++)
356  {
357  for (unsigned l = 0; l < n_q_basis_edge; l++)
358  {
359  basis(l, i) *=
360  (length[l / (ORDER + 1)] / ref_length[l / (ORDER + 1)]);
361  }
362  }
363  }
i
int i
Definition: BiCGSTAB_step_by_step.cpp:9
oomph::Node::x
double & x(const unsigned &i)
Return the i-th nodal coordinate.
Definition: nodes.h:1060
oomph::TRaviartThomasDarcyElement::nq_basis_edge
unsigned nq_basis_edge() const
Return the number of edge basis functions for q.
Eigen::bfloat16_impl::pow
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC bfloat16 pow(const bfloat16 &a, const bfloat16 &b)
Definition: BFloat16.h:625
Global_parameters::x1
Vector< double > x1(const Vector< double > &coord)
Cartesian coordinates centered at the point (0.5,1)
Definition: poisson/poisson_with_singularity/two_d_poisson.cc:86
Global::x0
Vector< double > x0(2, 0.0)

References i, oomph::Shape::nindex2(), oomph::FiniteElement::node_pt(), oomph::TRaviartThomasDarcyElement< ORDER >::nq_basis_edge(), Eigen::bfloat16_impl::pow(), sqrt(), oomph::Node::x(), Global::x0, and Global_parameters::x1().

◆ set_p_value()

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::set_p_value ( const unsigned &  n,
const double &  value 
)
inlinevirtual

Set the nth pressure value.

Implements oomph::DarcyEquations< 2 >.

319  {
320  this->internal_data_pt(P_internal_data_index)->set_value(n, value);
321  }
oomph::Data::set_value
void set_value(const unsigned &i, const double &value_)
Definition: nodes.h:271
Eigen::value
squared absolute value
Definition: GlobalFunctions.h:87

References oomph::GeneralisedElement::internal_data_pt(), n, oomph::Data::set_value(), and Eigen::value.

◆ set_q_edge()

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::set_q_edge ( const unsigned &  n,
const double &  value 
)
inlinevirtual

Set the values of the edge (flux) degree of freedom.

Implements oomph::DarcyEquations< 2 >.

197  {
198  node_pt(q_edge_node_number(n))->set_value(q_edge_index(n), value);
199  }

References n, oomph::FiniteElement::node_pt(), oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_index(), oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_node_number(), oomph::Data::set_value(), and Eigen::value.

◆ set_q_internal()

template<unsigned ORDER>
void oomph::TRaviartThomasDarcyElement< ORDER >::set_q_internal ( const unsigned &  n,
const double &  value 
)
inlinevirtual

Set the values of the internal degree of freedom.

Implements oomph::DarcyEquations< 2 >.

203  {
204  this->internal_data_pt(q_internal_index())->set_value(n, value);
205  }

References oomph::GeneralisedElement::internal_data_pt(), oomph::TRaviartThomasDarcyElement< ORDER >::q_internal_index(), oomph::Data::set_value(), and Eigen::value.

◆ shape_basis_test_local()

template<unsigned ORDER>
double oomph::TRaviartThomasDarcyElement< ORDER >::shape_basis_test_local ( const Vector< double > &  s,
Shape &  psi,
Shape &  q_basis,
Shape &  q_test,
Shape &  p_basis,
Shape &  p_test,
Shape &  div_q_basis_ds,
Shape &  div_q_test_ds 
) const
inlineprotectedvirtual

Return the geometric basis, and the q, p and divergence basis functions and test functions at local coordinate s

Implements oomph::DarcyEquations< 2 >.

417  {
418  const unsigned n_q_basis = this->nq_basis();
419 
420  Shape q_basis_local(n_q_basis, 2);
421  this->get_q_basis_local(s, q_basis_local);
422  this->get_p_basis(s, p_basis);
423  this->get_div_q_basis_local(s, div_q_basis_ds);
424 
425  double J = this->transform_basis(s, q_basis_local, psi, q_basis);
426 
427  q_test = q_basis;
428  p_test = p_basis;
429  div_q_test_ds = div_q_basis_ds;
430 
431  return J;
432  }
J
JacobiRotation< float > J
Definition: Jacobi_makeJacobi.cpp:3
oomph::DarcyEquations< 2 >::transform_basis
double transform_basis(const Vector< double > &s, const Shape &q_basis_local, Shape &psi, Shape &q_basis) const
Definition: darcy_elements.cc:35
oomph::DarcyEquations< 2 >::nq_basis
unsigned nq_basis() const
Return the total number of computational basis functions for q.
Definition: darcy_elements.h:172
oomph::TRaviartThomasDarcyElement::get_q_basis_local
void get_q_basis_local(const Vector< double > &s, Shape &q_basis) const
Return the local form of the q basis at local coordinate s.
oomph::TRaviartThomasDarcyElement::get_div_q_basis_local
void get_div_q_basis_local(const Vector< double > &s, Shape &div_q_basis_ds) const
Return the local form of the q basis and dbasis/ds at local coordinate s.
oomph::TRaviartThomasDarcyElement::get_p_basis
void get_p_basis(const Vector< double > &s, Shape &p_basis) const
Compute the pressure basis.

References oomph::TRaviartThomasDarcyElement< ORDER >::get_div_q_basis_local(), oomph::TRaviartThomasDarcyElement< ORDER >::get_p_basis(), oomph::TRaviartThomasDarcyElement< ORDER >::get_q_basis_local(), J, oomph::DarcyEquations< 2 >::nq_basis(), and oomph::DarcyEquations< 2 >::transform_basis().

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::shape_basis_test_local_at_knot().

◆ shape_basis_test_local_at_knot()

template<unsigned ORDER>
double oomph::TRaviartThomasDarcyElement< ORDER >::shape_basis_test_local_at_knot ( const unsigned &  ipt,
Shape &  psi,
Shape &  q_basis,
Shape &  q_test,
Shape &  p_basis,
Shape &  p_test,
Shape &  div_q_basis_ds,
Shape &  div_q_test_ds 
) const
inlineprotectedvirtual

Return the geometric basis, and the q, p and divergence basis functions and test functions at integration point ipt

Implements oomph::DarcyEquations< 2 >.

444  {
445  Vector<double> s(2);
446  for (unsigned i = 0; i < 2; i++)
447  {
448  s[i] = this->integral_pt()->knot(ipt, i);
449  }
450 
451  return shape_basis_test_local(s,
452  psi,
453  q_basis,
454  q_test,
455  p_basis,
456  p_test,
457  div_q_basis_ds,
458  div_q_test_ds);
459  }
oomph::FiniteElement::integral_pt
Integral *const & integral_pt() const
Return the pointer to the integration scheme (const version)
Definition: elements.h:1963
oomph::Integral::knot
virtual double knot(const unsigned &i, const unsigned &j) const =0
Return local coordinate s[j] of i-th integration point.
oomph::TRaviartThomasDarcyElement::shape_basis_test_local
double shape_basis_test_local(const Vector< double > &s, Shape &psi, Shape &q_basis, Shape &q_test, Shape &p_basis, Shape &p_test, Shape &div_q_basis_ds, Shape &div_q_test_ds) const
Definition: Tdarcy_elements.h:409

References i, oomph::FiniteElement::integral_pt(), oomph::Integral::knot(), s, and oomph::TRaviartThomasDarcyElement< ORDER >::shape_basis_test_local().

◆ sign_edge() [1/2]

template<unsigned ORDER>
short& oomph::TRaviartThomasDarcyElement< ORDER >::sign_edge ( const unsigned &  n)
inline

Accessor for the unit normal sign of edge n.

373  {
374  return Sign_edge[n];
375  }

References n, and oomph::TRaviartThomasDarcyElement< ORDER >::Sign_edge.

◆ sign_edge() [2/2]

template<unsigned ORDER>
const short& oomph::TRaviartThomasDarcyElement< ORDER >::sign_edge ( const unsigned &  n) const
inline

Accessor for the unit normal sign of edge n (const version)

367  {
368  return Sign_edge[n];
369  }

References n, and oomph::TRaviartThomasDarcyElement< ORDER >::Sign_edge.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_interpolation_point().

◆ vertex_node_pt()

template<unsigned ORDER>
Node* oomph::TRaviartThomasDarcyElement< ORDER >::vertex_node_pt ( const unsigned &  j) const
inlinevirtual

Pointer to the j-th vertex node in the element.

Reimplemented from oomph::FiniteElement.

398  {
399  return TElement<2, 3>::vertex_node_pt(j);
400  }

References j.

Member Data Documentation

◆ Face_index_of_edge_flux

template<unsigned ORDER>
const unsigned oomph::TRaviartThomasDarcyElement< ORDER >::Face_index_of_edge_flux[]
staticprivate

Face index associated with edge flux degree of freedom.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::face_index_of_q_edge_basis_fct().

◆ Flux_interpolation_point

template<unsigned ORDER>
const double oomph::TRaviartThomasDarcyElement< ORDER >::Flux_interpolation_point[]
staticprivate

The points along each edge where the fluxes are interpolated.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_interpolation_point().

◆ Initial_Nvalue

template<unsigned ORDER>
const unsigned oomph::TRaviartThomasDarcyElement< ORDER >::Initial_Nvalue[]
staticprotected

The number of values stored at each node.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::required_nvalue().

◆ P_internal_data_index

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::P_internal_data_index
private

The internal data index where the p degrees of freedom are stored.

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::TRaviartThomasDarcyElement().

◆ Q_edge_conv

template<unsigned ORDER>
const unsigned oomph::TRaviartThomasDarcyElement< ORDER >::Q_edge_conv[]
staticprivate

Conversion scheme from an edge degree of freedom to the node it's stored at

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_interpolation_point_global(), oomph::TRaviartThomasDarcyElement< ORDER >::edge_flux_node_pt(), oomph::TRaviartThomasDarcyElement< ORDER >::face_local_coordinate_of_flux_interpolation_point(), and oomph::TRaviartThomasDarcyElement< ORDER >::q_edge_node_number().

◆ Q_internal_data_index

template<unsigned ORDER>
unsigned oomph::TRaviartThomasDarcyElement< ORDER >::Q_internal_data_index
private

The internal data index where the internal q degrees of freedom are stored

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::q_internal_index(), and oomph::TRaviartThomasDarcyElement< ORDER >::TRaviartThomasDarcyElement().

◆ Sign_edge

template<unsigned ORDER>
std::vector<short> oomph::TRaviartThomasDarcyElement< ORDER >::Sign_edge
private

Unit normal signs associated with each edge to ensure inter-element continuity of the flux

Referenced by oomph::TRaviartThomasDarcyElement< ORDER >::sign_edge().

The documentation for this class was generated from the following file: