Public Member Functions | Protected Member Functions | Protected Attributes | Private Attributes | List of all members
oomph::PolarStreamfunctionTractionElement< ELEMENT > Class Template Reference

#include <polar_streamfunction_traction_elements.h>

+ Inheritance diagram for oomph::PolarStreamfunctionTractionElement< ELEMENT >:

Public Member Functions

const double & alpha () const
 Alpha. More...
 
double *& alpha_pt ()
 Pointer to Alpha. More...
 
const int boundary () const
 Boundary. More...
 
void set_boundary (int bound)
 Function to set boundary. More...
 
 PolarStreamfunctionTractionElement (FiniteElement *const &element_pt, const int &face_index)
 
 ~PolarStreamfunctionTractionElement ()
 Destructor should not delete anything. More...
 
void fill_in_contribution_to_residuals (Vector< double > &residuals)
 This function returns just the residuals. More...
 
void fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
 This function returns the residuals and the jacobian. More...
 
void fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)
 
void output (std::ostream &outfile)
 Overload the output function. More...
 
void output (std::ostream &outfile, const unsigned &nplot)
 Output function: x,y,[z],u,v,[w],p in tecplot format. More...
 
double s (const unsigned &l)
 local streamfunction More...
 
double x (const unsigned &l, const unsigned &i)
 local position More...
 
- Public Member Functions inherited from oomph::FaceElement
 FaceElement ()
 Constructor: Initialise all appropriate member data. More...
 
virtual ~FaceElement ()
 Empty virtual destructor. More...
 
 FaceElement (const FaceElement &)=delete
 Broken copy constructor. More...
 
const unsigned & boundary_number_in_bulk_mesh () const
 Broken assignment operator. More...
 
void set_boundary_number_in_bulk_mesh (const unsigned &b)
 Set function for the boundary number in bulk mesh. More...
 
double zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
 
double J_eulerian (const Vector< double > &s) const
 
double J_eulerian_at_knot (const unsigned &ipt) const
 
void check_J_eulerian_at_knots (bool &passed) const
 
double interpolated_x (const Vector< double > &s, const unsigned &i) const
 
double interpolated_x (const unsigned &t, const Vector< double > &s, const unsigned &i) const
 
void interpolated_x (const Vector< double > &s, Vector< double > &x) const
 
void interpolated_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) const
 
double interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t)
 
void interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt)
 
int & normal_sign ()
 
int normal_sign () const
 
int & face_index ()
 
int face_index () const
 
const Vector< double > * tangent_direction_pt () const
 Public access function for the tangent direction pointer. More...
 
void set_tangent_direction (Vector< double > *tangent_direction_pt)
 Set the tangent direction vector. More...
 
void turn_on_warning_for_discontinuous_tangent ()
 
void turn_off_warning_for_discontinuous_tangent ()
 
void continuous_tangent_and_outer_unit_normal (const Vector< double > &s, Vector< Vector< double >> &tang_vec, Vector< double > &unit_normal) const
 
void continuous_tangent_and_outer_unit_normal (const unsigned &ipt, Vector< Vector< double >> &tang_vec, Vector< double > &unit_normal) const
 
void outer_unit_normal (const Vector< double > &s, Vector< double > &unit_normal) const
 Compute outer unit normal at the specified local coordinate. More...
 
void outer_unit_normal (const unsigned &ipt, Vector< double > &unit_normal) const
 Compute outer unit normal at ipt-th integration point. More...
 
FiniteElement *& bulk_element_pt ()
 Pointer to higher-dimensional "bulk" element. More...
 
FiniteElement * bulk_element_pt () const
 Pointer to higher-dimensional "bulk" element (const version) More...
 
CoordinateMappingFctPt & face_to_bulk_coordinate_fct_pt ()
 
CoordinateMappingFctPt face_to_bulk_coordinate_fct_pt () const
 
BulkCoordinateDerivativesFctPt & bulk_coordinate_derivatives_fct_pt ()
 
BulkCoordinateDerivativesFctPt bulk_coordinate_derivatives_fct_pt () const
 
Vector< double > local_coordinate_in_bulk (const Vector< double > &s) const
 
void get_local_coordinate_in_bulk (const Vector< double > &s, Vector< double > &s_bulk) const
 
void get_ds_bulk_ds_face (const Vector< double > &s, DenseMatrix< double > &dsbulk_dsface, unsigned &interior_direction) const
 
unsigned & bulk_position_type (const unsigned &i)
 
const unsigned & bulk_position_type (const unsigned &i) const
 
void bulk_node_number_resize (const unsigned &i)
 Resize the storage for the bulk node numbers. More...
 
unsigned & bulk_node_number (const unsigned &n)
 
const unsigned & bulk_node_number (const unsigned &n) const
 
void bulk_position_type_resize (const unsigned &i)
 Resize the storage for bulk_position_type to i entries. More...
 
unsigned & nbulk_value (const unsigned &n)
 
unsigned nbulk_value (const unsigned &n) const
 
void nbulk_value_resize (const unsigned &i)
 
void resize_nodes (Vector< unsigned > &nadditional_data_values)
 
void output_zeta (std::ostream &outfile, const unsigned &nplot)
 Output boundary coordinate zeta. 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
 
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 ()
 
virtual unsigned required_nvalue (const unsigned &n) const
 
unsigned nnodal_position_type () const
 
bool has_hanging_nodes () const
 
unsigned nodal_dimension () const
 Return the required Eulerian dimension of the nodes in this element. More...
 
virtual unsigned nvertex_node () const
 
virtual Node * vertex_node_pt (const unsigned &j) const
 
virtual Node * construct_node (const unsigned &n)
 
virtual Node * construct_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
 
virtual Node * construct_boundary_node (const unsigned &n)
 
virtual Node * construct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
 
int get_node_number (Node *const &node_pt) const
 
virtual Node * get_node_at_local_coordinate (const Vector< double > &s) const
 
double raw_nodal_value (const unsigned &n, const unsigned &i) const
 
double raw_nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const
 
double nodal_value (const unsigned &n, const unsigned &i) const
 
double nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const
 
unsigned dim () const
 
virtual ElementGeometry::ElementGeometry element_geometry () const
 Return the geometry type of the element (either Q or T usually). More...
 
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)
 
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, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
 Output an exact solution over the element. More...
 
virtual void output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)
 Output a time-dependent exact solution over the element. More...
 
virtual void output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, const SolutionFunctorBase &exact_soln) const
 Output a time-dependent exact solution over the element. More...
 
virtual void get_s_plot (const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &shifted_to_interior=false) const
 
virtual std::string tecplot_zone_string (const unsigned &nplot) const
 
virtual void write_tecplot_zone_footer (std::ostream &outfile, const unsigned &nplot) const
 
virtual void write_tecplot_zone_footer (FILE *file_pt, const unsigned &nplot) const
 
virtual unsigned nplot_points (const unsigned &nplot) const
 
virtual void compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
 Calculate the norm of the error and that of the exact solution. More...
 
virtual void compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
 Calculate the norm of the error and that of the exact solution. More...
 
virtual void compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)
 
virtual void compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)
 
virtual void compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
 
virtual void compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
 
virtual void compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)
 
virtual void compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)
 
virtual void compute_abs_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error)
 
void integrate_fct (FiniteElement::SteadyExactSolutionFctPt integrand_fct_pt, Vector< double > &integral)
 Integrate Vector-valued function over element. More...
 
void integrate_fct (FiniteElement::UnsteadyExactSolutionFctPt integrand_fct_pt, const double &time, Vector< double > &integral)
 Integrate Vector-valued time-dep function over element. More...
 
virtual void build_face_element (const int &face_index, FaceElement *face_element_pt)
 
virtual unsigned self_test ()
 
virtual unsigned get_bulk_node_number (const int &face_index, const unsigned &i) const
 
virtual int face_outer_unit_normal_sign (const int &face_index) const
 Get the sign of the outer unit normal on the face given by face_index. More...
 
virtual unsigned nnode_on_face () const
 
void face_node_number_error_check (const unsigned &i) const
 Range check for face node numbers. More...
 
virtual CoordinateMappingFctPt face_to_bulk_coordinate_fct_pt (const int &face_index) const
 
virtual BulkCoordinateDerivativesFctPt bulk_coordinate_derivatives_fct_pt (const int &face_index) const
 
- Public Member Functions inherited from oomph::GeneralisedElement
 GeneralisedElement ()
 Constructor: Initialise all pointers and all values to zero. More...
 
virtual ~GeneralisedElement ()
 Virtual destructor to clean up any memory allocated by the object. More...
 
 GeneralisedElement (const GeneralisedElement &)=delete
 Broken copy constructor. More...
 
void operator= (const GeneralisedElement &)=delete
 Broken assignment operator. More...
 
Data *& internal_data_pt (const unsigned &i)
 Return a pointer to i-th internal data object. More...
 
Data *const & internal_data_pt (const unsigned &i) const
 Return a pointer to i-th internal data object (const version) More...
 
Data *& external_data_pt (const unsigned &i)
 Return a pointer to i-th external data object. More...
 
Data *const & external_data_pt (const unsigned &i) const
 Return a pointer to i-th external data object (const version) More...
 
unsigned long eqn_number (const unsigned &ieqn_local) const
 
int local_eqn_number (const unsigned long &ieqn_global) const
 
unsigned add_external_data (Data *const &data_pt, const bool &fd=true)
 
bool external_data_fd (const unsigned &i) const
 
void exclude_external_data_fd (const unsigned &i)
 
void include_external_data_fd (const unsigned &i)
 
void flush_external_data ()
 Flush all external data. More...
 
void flush_external_data (Data *const &data_pt)
 Flush the object addressed by data_pt from the external data array. More...
 
unsigned ninternal_data () const
 Return the number of internal data objects. More...
 
unsigned nexternal_data () const
 Return the number of external data objects. More...
 
unsigned ndof () const
 Return the number of equations/dofs in the element. More...
 
void dof_vector (const unsigned &t, Vector< double > &dof)
 Return the vector of dof values at time level t. More...
 
void dof_pt_vector (Vector< double * > &dof_pt)
 Return the vector of pointers to dof values. More...
 
void set_internal_data_time_stepper (const unsigned &i, TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)
 
void assign_internal_eqn_numbers (unsigned long &global_number, Vector< double * > &Dof_pt)
 
void describe_dofs (std::ostream &out, const std::string &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
 

Protected Member Functions

virtual int s_local_eqn (const unsigned &n)
 
double shape_and_test_at_knot (const unsigned &ipt, Shape &psi, Shape &test) const
 
void fill_in_generic_residual_contribution (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, unsigned flag)
 
- Protected Member Functions inherited from oomph::FaceElement
void add_additional_values (const Vector< unsigned > &nadditional_values, const unsigned &id)
 
- 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_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)
 

Protected Attributes

double * Alpha_pt
 Pointer to the angle alpha. More...
 
int Boundary
 
- Protected Attributes inherited from oomph::FaceElement
unsigned Boundary_number_in_bulk_mesh
 The boundary number in the bulk mesh to which this element is attached. More...
 
FiniteElement * Bulk_element_pt
 Pointer to the associated higher-dimensional "bulk" element. More...
 
Vector< unsigned > Bulk_node_number
 
Vector< unsigned > Nbulk_value
 
Vector< double > * Tangent_direction_pt
 
- 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
 

Private Attributes

unsigned Dim
 The highest dimension of the problem. More...
 

Additional Inherited Members

- Public Types inherited from oomph::FiniteElement
typedef void(* SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &)
 
typedef void(* UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &)
 
- Static 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
 
- 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
 

Detailed Description

template<class ELEMENT>
class oomph::PolarStreamfunctionTractionElement< ELEMENT >

A class for elements that allow the imposition of an applied traction to the Navier–Stokes equations

Constructor & Destructor Documentation

◆ PolarStreamfunctionTractionElement()

template<class ELEMENT >
oomph::PolarStreamfunctionTractionElement< ELEMENT >::PolarStreamfunctionTractionElement ( FiniteElement *const &  element_pt,
const int &  face_index 
)
inline

Constructor, which takes a "bulk" element and the value of the index and its limit

111  :
112  FaceGeometry<ELEMENT>(), FaceElement()
113  {
114 #ifdef PARANOID
115  {
116  //Check that the element is not a refineable 3d element
117  ELEMENT* elem_pt = new ELEMENT;
118  //If it's three-d
119  if(elem_pt->dim()==3)
120  {
121  //Is it refineable
122  if(dynamic_cast<RefineableElement*>(elem_pt))
123  {
124  //Issue a warning
125  OomphLibWarning(
126  "This flux element will not work correctly if nodes are hanging\n",
127  "PolarNavierStokesTractionElement::Constructor",
128  OOMPH_EXCEPTION_LOCATION);
129  }
130  }
131  }
132 #endif
133 
134  //Attach the geometrical information to the element. N.B. This function
135  //also assigns nbulk_value from the required_nvalue of the bulk element
136  element_pt->build_face_element(face_index,this);
137 
138  //Set the dimension from the dimension of the first node
139  Dim = this->node_pt(0)->ndim();
140  }
oomph::FaceElement::face_index
int & face_index()
Definition: elements.h:4626
oomph::FaceElement::FaceElement
FaceElement()
Constructor: Initialise all appropriate member data.
Definition: elements.h:4446
oomph::FiniteElement::node_pt
Node *& node_pt(const unsigned &n)
Return a pointer to the local node n.
Definition: elements.h:2175
oomph::Node::ndim
unsigned ndim() const
Return (Eulerian) spatial dimension of the node.
Definition: nodes.h:1054
oomph::PolarStreamfunctionTractionElement::Dim
unsigned Dim
The highest dimension of the problem.
Definition: polar_streamfunction_traction_elements.h:50
OOMPH_EXCEPTION_LOCATION
#define OOMPH_EXCEPTION_LOCATION
Definition: oomph_definitions.h:61

References oomph::FiniteElement::build_face_element(), oomph::PolarStreamfunctionTractionElement< ELEMENT >::Dim, oomph::FaceElement::face_index(), oomph::Node::ndim(), oomph::FiniteElement::node_pt(), and OOMPH_EXCEPTION_LOCATION.

◆ ~PolarStreamfunctionTractionElement()

template<class ELEMENT >
oomph::PolarStreamfunctionTractionElement< ELEMENT >::~PolarStreamfunctionTractionElement ( )
inline

Destructor should not delete anything.

143 { }

Member Function Documentation

◆ alpha()

template<class ELEMENT >
const double& oomph::PolarStreamfunctionTractionElement< ELEMENT >::alpha ( ) const
inline

Alpha.

97 {return *Alpha_pt;}
oomph::PolarStreamfunctionTractionElement::Alpha_pt
double * Alpha_pt
Pointer to the angle alpha.
Definition: polar_streamfunction_traction_elements.h:86

References oomph::PolarStreamfunctionTractionElement< ELEMENT >::Alpha_pt.

◆ alpha_pt()

template<class ELEMENT >
double* & oomph::PolarStreamfunctionTractionElement< ELEMENT >::alpha_pt ( )
inline

Pointer to Alpha.

100 {return Alpha_pt;}

References oomph::PolarStreamfunctionTractionElement< ELEMENT >::Alpha_pt.

Referenced by oomph::streamfunction_mesh::make_traction_elements().

◆ boundary()

template<class ELEMENT >
const int oomph::PolarStreamfunctionTractionElement< ELEMENT >::boundary ( ) const
inline

Boundary.

103 {return Boundary;}
oomph::PolarStreamfunctionTractionElement::Boundary
int Boundary
Definition: polar_streamfunction_traction_elements.h:92

References oomph::PolarStreamfunctionTractionElement< ELEMENT >::Boundary.

◆ fill_in_contribution_to_jacobian()

template<class ELEMENT >
void oomph::PolarStreamfunctionTractionElement< ELEMENT >::fill_in_contribution_to_jacobian ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian 
)
inlinevirtual

This function returns the residuals and the jacobian.

Reimplemented from oomph::GeneralisedElement.

157  {
158  //Call the generic routine with the flag set to 1
159  fill_in_generic_residual_contribution(residuals,jacobian,GeneralisedElement::Dummy_matrix,1);
160  }
oomph::GeneralisedElement::Dummy_matrix
static DenseMatrix< double > Dummy_matrix
Definition: elements.h:227
oomph::PolarStreamfunctionTractionElement::fill_in_generic_residual_contribution
void fill_in_generic_residual_contribution(Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, unsigned flag)
Definition: polar_streamfunction_traction_elements.h:203

References oomph::GeneralisedElement::Dummy_matrix, and oomph::PolarStreamfunctionTractionElement< ELEMENT >::fill_in_generic_residual_contribution().

◆ fill_in_contribution_to_jacobian_and_mass_matrix()

template<class ELEMENT >
void oomph::PolarStreamfunctionTractionElement< ELEMENT >::fill_in_contribution_to_jacobian_and_mass_matrix ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian,
DenseMatrix< double > &  mass_matrix 
)
inlinevirtual

Compute the element's residual Vector and the jacobian matrix Plus the mass matrix especially for eigenvalue problems

Reimplemented from oomph::GeneralisedElement.

167  {
168  //Call the generic routine with the flag set to 2
169  fill_in_generic_residual_contribution(residuals,jacobian,GeneralisedElement::Dummy_matrix,2);
170  }

References oomph::GeneralisedElement::Dummy_matrix, and oomph::PolarStreamfunctionTractionElement< ELEMENT >::fill_in_generic_residual_contribution().

◆ fill_in_contribution_to_residuals()

template<class ELEMENT >
void oomph::PolarStreamfunctionTractionElement< ELEMENT >::fill_in_contribution_to_residuals ( Vector< double > &  residuals)
inlinevirtual

This function returns just the residuals.

Reimplemented from oomph::GeneralisedElement.

147  {
148  //Call the generic residuals function with flag set to 0
149  //using a dummy matrix argument
150  fill_in_generic_residual_contribution(
151  residuals,GeneralisedElement::Dummy_matrix,GeneralisedElement::Dummy_matrix,0);
152  }

References oomph::GeneralisedElement::Dummy_matrix, and oomph::PolarStreamfunctionTractionElement< ELEMENT >::fill_in_generic_residual_contribution().

◆ fill_in_generic_residual_contribution()

template<class ELEMENT >
void oomph::PolarStreamfunctionTractionElement< ELEMENT >::fill_in_generic_residual_contribution ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian,
DenseMatrix< double > &  mass_matrix,
unsigned  flag 
)
protected

This function returns the residuals for the traction function. flag=1(or 0): do (or don't) compute the Jacobian as well.

//////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// Function that returns the residuals for the imposed traction Navier_Stokes equations

No Jacobian terms

207 {
208  //Find out how many nodes there are
209  unsigned n_node = nnode();
210 
211  //Set up memory for the shape and test functions
212  Shape psif(n_node), testf(n_node);
213 
214  //Set the value of n_intpt
215  unsigned n_intpt = integral_pt()->nweight();
216 
217  //Get Alpha
218  const double Alpha = alpha();
219 
220  //Get boundary multiplier
221  //This is necessary because the sign of the traction is
222  //dependent on the boundary
223  const int multiplier = boundary();
224 
225  //Integers to store local equation numbers
226  int local_eqn=0;
227 
228  //Loop over the integration points
229  for(unsigned ipt=0;ipt<n_intpt;ipt++)
230  {
231  //Get the integral weight
232  double w = integral_pt()->weight(ipt);
233 
234  //Find the shape and test functions and return the Jacobian
235  //of the mapping
236  double J = shape_and_test_at_knot(ipt,psif,testf);
237 
238  //Premultiply the weights and the Jacobian
239  double W = w*J;
240 
241  //Need to find position to feed into Traction function
242  Vector<double> interpolated_x(Dim);
243  double interpolated_v;
244 
245  //Initialise to zero
246  interpolated_v = 0.0;
247  for(unsigned i=0;i<Dim;i++) interpolated_x[i] = 0.0;
248 
249  //Calculate velocities and derivatives:
250  // Loop over nodes
251  for(unsigned l=0;l<n_node;l++)
252  {
253  //Get the nodal value
254  //Assume streamfunction stored as first nodal value and v as third.
255  interpolated_v += this->nodal_value(l,2)*psif[l];
256  //Loop over directions
257  for(unsigned i=0;i<Dim;i++) interpolated_x[i] += this->nodal_position(l,i)*psif[l];
258  }
259 
260  //Now add to the appropriate equations
261 
262  //Loop over the test functions
263  for(unsigned l=0;l<n_node;l++)
264  {
265  local_eqn = s_local_eqn(l);
266  /*IF it's not a boundary condition*/
267  if(local_eqn >= 0)
268  {
269  //Add the user-defined traction terms
270  //Essentially (v*boundary)
271  residuals[local_eqn] += multiplier*interpolated_v*testf[l]*interpolated_x[0]*Alpha*W;
272 
273  //CALCULATE THE JACOBIAN
274  if(flag)
275  {
277 
278  } /*End of Jacobian calculation*/
279 
280  } //end of if not boundary condition statement
281 
282  } //End of loop over shape functions
283 
284  } //End of loop over integration points
285 
286 } //End of fill_in_generic_residual_contribution
i
int i
Definition: BiCGSTAB_step_by_step.cpp:9
J
JacobiRotation< float > J
Definition: Jacobi_makeJacobi.cpp:3
w
RowVector3d w
Definition: Matrix_resize_int.cpp:3
oomph::FaceElement::interpolated_x
double interpolated_x(const Vector< double > &s, const unsigned &i) const
Definition: elements.h:4528
oomph::FiniteElement::nodal_value
double nodal_value(const unsigned &n, const unsigned &i) const
Definition: elements.h:2593
oomph::FiniteElement::nnode
unsigned nnode() const
Return the number of nodes.
Definition: elements.h:2210
oomph::FiniteElement::integral_pt
Integral *const & integral_pt() const
Return the pointer to the integration scheme (const version)
Definition: elements.h:1963
oomph::FiniteElement::nodal_position
double nodal_position(const unsigned &n, const unsigned &i) const
Definition: elements.h:2317
oomph::Integral::nweight
virtual unsigned nweight() const =0
Return the number of integration points of the scheme.
oomph::Integral::weight
virtual double weight(const unsigned &i) const =0
Return weight of i-th integration point.
oomph::PolarStreamfunctionTractionElement::boundary
const int boundary() const
Boundary.
Definition: polar_streamfunction_traction_elements.h:103
oomph::PolarStreamfunctionTractionElement::shape_and_test_at_knot
double shape_and_test_at_knot(const unsigned &ipt, Shape &psi, Shape &test) const
Definition: polar_streamfunction_traction_elements.h:64
oomph::PolarStreamfunctionTractionElement::alpha
const double & alpha() const
Alpha.
Definition: polar_streamfunction_traction_elements.h:97
oomph::PolarStreamfunctionTractionElement::s_local_eqn
virtual int s_local_eqn(const unsigned &n)
Definition: polar_streamfunction_traction_elements.h:59
Global_Physical_Variables::multiplier
double multiplier(const Vector< double > &xi)
Definition: disk_oscillation.cc:63
TanhSolnForAdvectionDiffusion::Alpha
double Alpha
Parameter for steepness of step.
Definition: two_d_adv_diff_adapt.cc:53
oomph::QuadTreeNames::W
@ W
Definition: quadtree.h:63

References alpha, TanhSolnForAdvectionDiffusion::Alpha, Global_Variables::Dim, i, J, Global_Physical_Variables::multiplier(), w, and oomph::QuadTreeNames::W.

Referenced by oomph::PolarStreamfunctionTractionElement< ELEMENT >::fill_in_contribution_to_jacobian(), oomph::PolarStreamfunctionTractionElement< ELEMENT >::fill_in_contribution_to_jacobian_and_mass_matrix(), and oomph::PolarStreamfunctionTractionElement< ELEMENT >::fill_in_contribution_to_residuals().

◆ output() [1/2]

template<class ELEMENT >
void oomph::PolarStreamfunctionTractionElement< ELEMENT >::output ( std::ostream &  outfile)
inlinevirtual

Overload the output function.

Reimplemented from oomph::FiniteElement.

173 {FiniteElement::output(outfile);}
oomph::FiniteElement::output
virtual void output(std::ostream &outfile)
Definition: elements.h:3050

References oomph::FiniteElement::output().

◆ output() [2/2]

template<class ELEMENT >
void oomph::PolarStreamfunctionTractionElement< ELEMENT >::output ( std::ostream &  outfile,
const unsigned &  nplot 
)
inlinevirtual

Output function: x,y,[z],u,v,[w],p in tecplot format.

Reimplemented from oomph::FiniteElement.

177  {FiniteElement::output(outfile,nplot);}

References oomph::FiniteElement::output().

◆ s()

template<class ELEMENT >
double oomph::PolarStreamfunctionTractionElement< ELEMENT >::s ( const unsigned &  l)
inline

local streamfunction

181  {return nodal_value(l,0);}

References oomph::FiniteElement::nodal_value().

◆ s_local_eqn()

template<class ELEMENT >
virtual int oomph::PolarStreamfunctionTractionElement< ELEMENT >::s_local_eqn ( const unsigned &  n)
inlineprotectedvirtual

Access function that returns the local equation number for the streamfunction components. The default is to asssume that n is the local node number and the streamfunction component is the 1st unknown stored at the node.

60  {return nodal_local_eqn(n,0);}
n
const unsigned n
Definition: CG3DPackingUnitTest.cpp:11
oomph::FiniteElement::nodal_local_eqn
int nodal_local_eqn(const unsigned &n, const unsigned &i) const
Definition: elements.h:1432

References n, and oomph::FiniteElement::nodal_local_eqn().

◆ set_boundary()

template<class ELEMENT >
void oomph::PolarStreamfunctionTractionElement< ELEMENT >::set_boundary ( int  bound)
inline

Function to set boundary.

106 {Boundary=bound;}

References oomph::PolarStreamfunctionTractionElement< ELEMENT >::Boundary.

Referenced by oomph::streamfunction_mesh::make_traction_elements().

◆ shape_and_test_at_knot()

template<class ELEMENT >
double oomph::PolarStreamfunctionTractionElement< ELEMENT >::shape_and_test_at_knot ( const unsigned &  ipt,
Shape &  psi,
Shape &  test 
) const
inlineprotected

Function to compute the shape and test functions and to return the Jacobian of mapping

67  {
68  //Find number of nodes
69  unsigned n_node = nnode();
70  //Calculate the shape functions
71  shape_at_knot(ipt,psi);
72  //Set the test functions to be the same as the shape functions
73  for(unsigned i=0;i<n_node;i++) {test[i] = psi[i];}
74  //Return the value of the jacobian
75  return J_eulerian_at_knot(ipt);
76  }
oomph::FaceElement::J_eulerian_at_knot
double J_eulerian_at_knot(const unsigned &ipt) const
Definition: elements.cc:5328
oomph::FiniteElement::shape_at_knot
virtual void shape_at_knot(const unsigned &ipt, Shape &psi) const
Definition: elements.cc:3220
test
Definition: indexed_view.cpp:20

References i, oomph::FaceElement::J_eulerian_at_knot(), oomph::FiniteElement::nnode(), and oomph::FiniteElement::shape_at_knot().

◆ x()

template<class ELEMENT >
double oomph::PolarStreamfunctionTractionElement< ELEMENT >::x ( const unsigned &  l,
const unsigned &  i 
)
inline

local position

185  {return nodal_position(l,i);}

References i, and oomph::FiniteElement::nodal_position().

Member Data Documentation

◆ Alpha_pt

template<class ELEMENT >
double* oomph::PolarStreamfunctionTractionElement< ELEMENT >::Alpha_pt
protected

Pointer to the angle alpha.

Referenced by oomph::PolarStreamfunctionTractionElement< ELEMENT >::alpha(), and oomph::PolarStreamfunctionTractionElement< ELEMENT >::alpha_pt().

◆ Boundary

template<class ELEMENT >
int oomph::PolarStreamfunctionTractionElement< ELEMENT >::Boundary
protected

Referenced by oomph::PolarStreamfunctionTractionElement< ELEMENT >::boundary(), and oomph::PolarStreamfunctionTractionElement< ELEMENT >::set_boundary().

◆ Dim

template<class ELEMENT >
unsigned oomph::PolarStreamfunctionTractionElement< ELEMENT >::Dim
private

The highest dimension of the problem.

Referenced by oomph::PolarStreamfunctionTractionElement< ELEMENT >::PolarStreamfunctionTractionElement().

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