Public Member Functions | Protected Member Functions | Private Attributes | List of all members
SSPorousChannelEquations Class Referenceabstract
+ Inheritance diagram for SSPorousChannelEquations:

Public Member Functions

 SSPorousChannelEquations ()
 Empty Constructor, set boolean flags to be false. More...
 
const double & re () const
 Access functions for the Reynolds number. More...
 
double *& re_pt ()
 Access function for a pointer to the Reynolds number. More...
 
virtual double f (const unsigned &b, const unsigned &i) const =0
 Return the i-th ODE variable stored at the n-th local node. More...
 
virtual double f (const unsigned &t, const unsigned &n, const unsigned &i) const =0
 Return the i-th ODE variable stored at the n-th local node at time t. More...
 
double df_dt (const unsigned &n, const unsigned &i) const
 
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 add_generic_residual_contribution (Vector< double > &residuals, DenseMatrix< double > &jacobian, unsigned flag)
 
double interpolated_f (const Vector< double > &s, const unsigned &i)
 FE interpolated values of the arguments. More...
 
void output (ostream &outfile)
 Overload the output function. More...
 
void output (ostream &outfile, const unsigned &Np)
 Output function: x,y,[z],u,v,[w],p in tecplot format. More...
 
 SSPorousChannelEquations ()
 Empty Constructor, set boolean flags to be false. More...
 
const double & re () const
 Access functions for the Reynolds number. More...
 
double *& re_pt ()
 Access function for a pointer to the Reynolds number. More...
 
virtual double f (const unsigned &b, const unsigned &i) const =0
 Return the i-th ODE variable stored at the n-th local node. More...
 
virtual double f (const unsigned &t, const unsigned &n, const unsigned &i) const =0
 Return the i-th ODE variable stored at the n-th local node at time t. More...
 
double df_dt (const unsigned &n, const unsigned &i) const
 
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 add_generic_residual_contribution (Vector< double > &residuals, DenseMatrix< double > &jacobian, unsigned flag)
 
double interpolated_f (const Vector< double > &s, const unsigned &i)
 FE interpolated values of the arguments. More...
 
void output (ostream &outfile)
 Overload the output function. More...
 
void output (ostream &outfile, const unsigned &Np)
 Output function: x,y,[z],u,v,[w],p in tecplot format. 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 ()
 
virtual unsigned required_nvalue (const unsigned &n) const
 
unsigned nnodal_position_type () const
 
bool has_hanging_nodes () const
 
unsigned nodal_dimension () const
 Return the required Eulerian dimension of the nodes in this element. More...
 
virtual unsigned nvertex_node () const
 
virtual Node * vertex_node_pt (const unsigned &j) const
 
virtual Node * construct_node (const unsigned &n)
 
virtual Node * construct_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
 
virtual Node * construct_boundary_node (const unsigned &n)
 
virtual Node * construct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
 
int get_node_number (Node *const &node_pt) const
 
virtual Node * get_node_at_local_coordinate (const Vector< double > &s) const
 
double raw_nodal_value (const unsigned &n, const unsigned &i) const
 
double raw_nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const
 
double nodal_value (const unsigned &n, const unsigned &i) const
 
double nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const
 
unsigned dim () const
 
virtual ElementGeometry::ElementGeometry element_geometry () const
 Return the geometry type of the element (either Q or T usually). More...
 
virtual double interpolated_x (const Vector< double > &s, const unsigned &i) const
 Return FE interpolated coordinate x[i] at local coordinate s. More...
 
virtual double interpolated_x (const unsigned &t, const Vector< double > &s, const unsigned &i) const
 
virtual void interpolated_x (const Vector< double > &s, Vector< double > &x) const
 Return FE interpolated position x[] at local coordinate s as Vector. More...
 
virtual void interpolated_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) const
 
virtual double interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t)
 
virtual void interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt)
 
unsigned ngeom_data () const
 
Data * geom_data_pt (const unsigned &j)
 
void position (const Vector< double > &zeta, Vector< double > &r) const
 
void position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const
 
void dposition_dt (const Vector< double > &zeta, const unsigned &t, Vector< double > &drdt)
 
virtual double zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
 
void interpolated_zeta (const Vector< double > &s, Vector< double > &zeta) const
 
void locate_zeta (const Vector< double > &zeta, GeomObject *&geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false)
 
virtual void node_update ()
 
virtual void identify_field_data_for_interactions (std::set< std::pair< Data *, unsigned >> &paired_field_data)
 
virtual void identify_geometric_data (std::set< Data * > &geometric_data_pt)
 
virtual double s_min () const
 Min value of local coordinate. More...
 
virtual double s_max () const
 Max. value of local coordinate. More...
 
double size () const
 
virtual double compute_physical_size () const
 
virtual void point_output_data (const Vector< double > &s, Vector< double > &data)
 
void point_output (std::ostream &outfile, const Vector< double > &s)
 
virtual unsigned nplot_points_paraview (const unsigned &nplot) const
 
virtual unsigned nsub_elements_paraview (const unsigned &nplot) const
 
void output_paraview (std::ofstream &file_out, const unsigned &nplot) const
 
virtual void write_paraview_output_offset_information (std::ofstream &file_out, const unsigned &nplot, unsigned &counter) const
 
virtual void write_paraview_type (std::ofstream &file_out, const unsigned &nplot) const
 
virtual void write_paraview_offsets (std::ofstream &file_out, const unsigned &nplot, unsigned &offset_sum) const
 
virtual unsigned nscalar_paraview () const
 
virtual void scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) const
 
virtual void scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) const
 
virtual void scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const
 
virtual std::string scalar_name_paraview (const unsigned &i) const
 
virtual void output (const unsigned &t, std::ostream &outfile, const unsigned &n_plot) const
 
virtual void output (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 double dshape_and_dtest_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx)=0
 
virtual double dshape_and_dtest_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx)=0
 
- 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)
 

Private Attributes

double * Re_pt
 

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
 
- Protected Attributes inherited from oomph::FiniteElement
MacroElement * Macro_elem_pt
 Pointer to the element's macro element (NULL by default) More...
 
- Protected Attributes inherited from oomph::GeomObject
unsigned NLagrangian
 Number of Lagrangian (intrinsic) coordinates. More...
 
unsigned Ndim
 Number of Eulerian coordinates. More...
 
TimeStepper * Geom_object_time_stepper_pt
 
- Static 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

A class for elements that integrate the Berman equations in a mixed formulation. The single fourth-order equation is written as a coupled system of two second-order equations. The element is implemented as an EigenElement, so that the temporal stability problem can be solved.

Constructor & Destructor Documentation

◆ SSPorousChannelEquations() [1/2]

SSPorousChannelEquations::SSPorousChannelEquations ( )
inline

Empty Constructor, set boolean flags to be false.

218 {}

◆ SSPorousChannelEquations() [2/2]

SSPorousChannelEquations::SSPorousChannelEquations ( )
inline

Empty Constructor, set boolean flags to be false.

218 {}

Member Function Documentation

◆ add_generic_residual_contribution() [1/2]

void SSPorousChannelEquations::add_generic_residual_contribution ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian,
unsigned  flag 
)
inline

This function returns the residuals for the ODE; J FLAG=1(or 0): do (or don't) compute the Jacobian as well.

282  {
283  //Find out how many nodes there are
284  unsigned n_node = nnode();
285 
286  //Set up memory for the shape and test functions
287  Shape psif(n_node), testf(n_node);
288  DShape dpsifdx(n_node,1), dtestfdx(n_node,1);
289 
290  //Determine the number of integration points
291  unsigned n_intpt = integral_pt()->nweight();
292 
293  //Get Reynolds number from the element.
294  double Re = re();
295 
296  //Integers to store the local equation and unknown values
297  int local_eqn=0, local_unknown=0;
298 
299  //Loop over the integration points
300  for(unsigned ipt=0;ipt<n_intpt;ipt++)
301  {
302  //Get the integral weight
303  double w = integral_pt()->weight(ipt);
304 
305  //Find the shape and test functions and return the Jacobian
306  //of the mapping.
307  double J =
308  dshape_and_dtest_eulerian_at_knot(ipt,psif,dpsifdx,testf,dtestfdx);
309 
310  //Premultiply the weights and the Jacobian
311  double W = w*J;
312 
313  //Need to find position to feed into equations
314  Vector<double> interpolated_x(1,0.0);
315  //Assign memory for the ODE variables
316  Vector<double> interpolated_f(2,0.0);
317  Vector<double> interpolated_dfdx(2,0.0);
318  double df1dt=0.0;
319 
320 
321  //Calculate velocities and derivatives
322  for(unsigned l=0;l<n_node;l++)
323  {
324  //Set the value of df1dt
325  df1dt += df_dt(l,1)*psif[l];
326 
327  //Set value of x
328  interpolated_x[0] += nodal_position(l,0)*psif[l];
329  //Loop over the ODE variables
330  for(unsigned i=0;i<2;i++)
331  {
332  interpolated_f[i] += f(l,i)*psif[l];
333  //and their derivatives
334  interpolated_dfdx[i] += f(l,i)*dpsifdx(l,0);
335  }
336  }
337 
338  //CALCULATE THE RESIDUALS --- THESE ARE THE GOVERNING EQUATIONS
339  //FOR BERMAN FLOW!
340 
341  //Loop over the test functions
342  for(unsigned l=0;l<n_node;l++)
343  {
344  //FIRST EQUATION
345  local_eqn = nodal_local_eqn(l,0);
346  //If not a boundary condition
347  if(local_eqn >= 0)
348  {
349  //Time term
350  residuals[local_eqn] -= Re*df1dt*testf[l]*W;
351  //Viscous term
352  residuals[local_eqn] -=
353  interpolated_dfdx[1]*dtestfdx(l,0)*W;
354  //Inertial term
355  residuals[local_eqn] +=
356  Re*(interpolated_f[0]*interpolated_dfdx[1]
357  /*Comment out the next term for Iain's equations*/
358  - interpolated_f[1]*interpolated_dfdx[0])*testf[l]*W;
359 
360  //If we are calculating the Jacobian
361  if(flag)
362  {
363  //Loop over the nodes again
364  for(unsigned l2=0;l2<n_node;l2++)
365  {
366  local_unknown = nodal_local_eqn(l2,0);
367  //FIRST DOF: If at non-zero degree of freedom add in entry
368  if(local_unknown >= 0)
369  {
370  jacobian(local_eqn,local_unknown)
371  += Re*(psif[l2]*interpolated_dfdx[1]
372  /*Comment out the next term for Iain's equations*/
373  - interpolated_f[1]*dpsifdx(l2,0))*testf[l]*W;
374  }
375 
376  //SECOND DOF: If at non-zero degree of freedom add in entry
377  local_unknown = nodal_local_eqn(l2,1);
378  if(local_unknown >= 0)
379  {
380  jacobian(local_eqn,local_unknown)
381  -= Re*node_pt(l2)->time_stepper_pt()->weight(1,0)*psif[l2]
382  *testf[l]*W;
383  jacobian(local_eqn,local_unknown)
384  -= dpsifdx(l2,0)*dtestfdx(l,0)*W;
385  jacobian(local_eqn,local_unknown)
386  += Re*(interpolated_f[0]*dpsifdx(l2,0)
387  /*Comment out the next term for Iains' equations*/
388  - psif[l2]*interpolated_dfdx[0])*testf[l]*W;
389  }
390  }
391  } //End of Jacobian calculation
392  } //End of first equation
393 
394  //SECOND EQUATION
395  local_eqn = nodal_local_eqn(l,1);
396  if(local_eqn >= 0)
397  {
398  residuals[local_eqn] +=
399  (interpolated_f[1]*testf[l] +
400  interpolated_dfdx[0]*dtestfdx(l,0))*W;
401 
402  //If calculating the jacobian
403  if(flag)
404  {
405  //Loop over the nodes again
406  for(unsigned l2=0;l2<n_node;l2++)
407  {
408  local_unknown = nodal_local_eqn(l2,0);
409  //FIRST DOF: If at non-zero degree of freedom, add in entry
410  if(local_unknown >= 0)
411  {
412  jacobian(local_eqn,local_unknown) +=
413  dpsifdx(l2,0)*dtestfdx(l,0)*W;
414  }
415 
416  //SECOND DOF: If at non-zero degree of freedom, add in entry
417  local_unknown = nodal_local_eqn(l2,1);
418  if(local_unknown >= 0)
419  {
420  jacobian(local_eqn,local_unknown) +=
421  psif[l2]*testf[l]*W;
422  }
423  }
424  } //End of Jacobian calculation
425  } //End of second equation
426 
427  } //End of loop over shape functions
428 
429  } //End of loop over integration points
430  }
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
SSPorousChannelEquations::dshape_and_dtest_eulerian_at_knot
virtual double dshape_and_dtest_eulerian_at_knot(const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx)=0
SSPorousChannelEquations::f
virtual double f(const unsigned &b, const unsigned &i) const =0
Return the i-th ODE variable stored at the n-th local node.
SSPorousChannelEquations::df_dt
double df_dt(const unsigned &n, const unsigned &i) const
Definition: bifurcation_tracking/pitchfork.cc:235
SSPorousChannelEquations::interpolated_f
double interpolated_f(const Vector< double > &s, const unsigned &i)
FE interpolated values of the arguments.
Definition: bifurcation_tracking/pitchfork.cc:433
SSPorousChannelEquations::re
const double & re() const
Access functions for the Reynolds number.
Definition: bifurcation_tracking/pitchfork.cc:221
oomph::DShape
Definition: shape.h:278
oomph::Data::time_stepper_pt
TimeStepper *& time_stepper_pt()
Return the pointer to the timestepper.
Definition: nodes.h:238
oomph::FiniteElement::node_pt
Node *& node_pt(const unsigned &n)
Return a pointer to the local node n.
Definition: elements.h:2175
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::FiniteElement::nodal_local_eqn
int nodal_local_eqn(const unsigned &n, const unsigned &i) const
Definition: elements.h:1432
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::Shape
Definition: shape.h:76
oomph::TimeStepper::weight
virtual double weight(const unsigned &i, const unsigned &j) const
Access function for j-th weight for the i-th derivative.
Definition: timesteppers.h:594
GlobalPhysicalVariables::Re
double Re
Reynolds number.
Definition: axisym_navier_stokes/counter_rotating_disks/counter_rotating_disks.cc:61
oomph::QuadTreeNames::W
@ W
Definition: quadtree.h:63

References f(), i, J, GlobalPhysicalVariables::Re, w, and oomph::QuadTreeNames::W.

◆ add_generic_residual_contribution() [2/2]

void SSPorousChannelEquations::add_generic_residual_contribution ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian,
unsigned  flag 
)
inline

This function returns the residuals for the ODE; J FLAG=1(or 0): do (or don't) compute the Jacobian as well.

282  {
283  //Find out how many nodes there are
284  unsigned n_node = nnode();
285 
286  //Set up memory for the shape and test functions
287  Shape psif(n_node), testf(n_node);
288  DShape dpsifdx(n_node,1), dtestfdx(n_node,1);
289 
290  //Determine the number of integration points
291  unsigned n_intpt = integral_pt()->nweight();
292 
293  //Get Reynolds number from the element.
294  double Re = re();
295 
296  //Integers to store the local equation and unknown values
297  int local_eqn=0, local_unknown=0;
298 
299  //Loop over the integration points
300  for(unsigned ipt=0;ipt<n_intpt;ipt++)
301  {
302  //Get the integral weight
303  double w = integral_pt()->weight(ipt);
304 
305  //Find the shape and test functions and return the Jacobian
306  //of the mapping.
307  double J =
308  dshape_and_dtest_eulerian_at_knot(ipt,psif,dpsifdx,testf,dtestfdx);
309 
310  //Premultiply the weights and the Jacobian
311  double W = w*J;
312 
313  //Need to find position to feed into equations
314  Vector<double> interpolated_x(1,0.0);
315  //Assign memory for the ODE variables
316  Vector<double> interpolated_f(2,0.0);
317  Vector<double> interpolated_dfdx(2,0.0);
318  double df1dt=0.0;
319 
320 
321  //Calculate velocities and derivatives
322  for(unsigned l=0;l<n_node;l++)
323  {
324  //Set the value of df1dt
325  df1dt += df_dt(l,1)*psif[l];
326 
327  //Set value of x
328  interpolated_x[0] += nodal_position(l,0)*psif[l];
329  //Loop over the ODE variables
330  for(unsigned i=0;i<2;i++)
331  {
332  interpolated_f[i] += f(l,i)*psif[l];
333  //and their derivatives
334  interpolated_dfdx[i] += f(l,i)*dpsifdx(l,0);
335  }
336  }
337 
338  //CALCULATE THE RESIDUALS --- THESE ARE THE GOVERNING EQUATIONS
339  //FOR BERMAN FLOW!
340 
341  //Loop over the test functions
342  for(unsigned l=0;l<n_node;l++)
343  {
344  //FIRST EQUATION
345  local_eqn = nodal_local_eqn(l,0);
346  //If not a boundary condition
347  if(local_eqn >= 0)
348  {
349  //Time term
350  residuals[local_eqn] -= Re*df1dt*testf[l]*W;
351  //Viscous term
352  residuals[local_eqn] -=
353  interpolated_dfdx[1]*dtestfdx(l,0)*W;
354  //Inertial term
355  residuals[local_eqn] +=
356  Re*(interpolated_f[0]*interpolated_dfdx[1]
357  /*Comment out the next term for Iain's equations*/
358  - interpolated_f[1]*interpolated_dfdx[0])*testf[l]*W;
359 
360  //If we are calculating the Jacobian
361  if(flag)
362  {
363  //Loop over the nodes again
364  for(unsigned l2=0;l2<n_node;l2++)
365  {
366  local_unknown = nodal_local_eqn(l2,0);
367  //FIRST DOF: If at non-zero degree of freedom add in entry
368  if(local_unknown >= 0)
369  {
370  jacobian(local_eqn,local_unknown)
371  += Re*(psif[l2]*interpolated_dfdx[1]
372  /*Comment out the next term for Iain's equations*/
373  - interpolated_f[1]*dpsifdx(l2,0))*testf[l]*W;
374  }
375 
376  //SECOND DOF: If at non-zero degree of freedom add in entry
377  local_unknown = nodal_local_eqn(l2,1);
378  if(local_unknown >= 0)
379  {
380  jacobian(local_eqn,local_unknown)
381  -= Re*node_pt(l2)->time_stepper_pt()->weight(1,0)*psif[l2]
382  *testf[l]*W;
383  jacobian(local_eqn,local_unknown)
384  -= dpsifdx(l2,0)*dtestfdx(l,0)*W;
385  jacobian(local_eqn,local_unknown)
386  += Re*(interpolated_f[0]*dpsifdx(l2,0)
387  /*Comment out the next term for Iains' equations*/
388  - psif[l2]*interpolated_dfdx[0])*testf[l]*W;
389  }
390  }
391  } //End of Jacobian calculation
392  } //End of first equation
393 
394  //SECOND EQUATION
395  local_eqn = nodal_local_eqn(l,1);
396  if(local_eqn >= 0)
397  {
398  residuals[local_eqn] +=
399  (interpolated_f[1]*testf[l] +
400  interpolated_dfdx[0]*dtestfdx(l,0))*W;
401 
402  //If calculating the jacobian
403  if(flag)
404  {
405  //Loop over the nodes again
406  for(unsigned l2=0;l2<n_node;l2++)
407  {
408  local_unknown = nodal_local_eqn(l2,0);
409  //FIRST DOF: If at non-zero degree of freedom, add in entry
410  if(local_unknown >= 0)
411  {
412  jacobian(local_eqn,local_unknown) +=
413  dpsifdx(l2,0)*dtestfdx(l,0)*W;
414  }
415 
416  //SECOND DOF: If at non-zero degree of freedom, add in entry
417  local_unknown = nodal_local_eqn(l2,1);
418  if(local_unknown >= 0)
419  {
420  jacobian(local_eqn,local_unknown) +=
421  psif[l2]*testf[l]*W;
422  }
423  }
424  } //End of Jacobian calculation
425  } //End of second equation
426 
427  } //End of loop over shape functions
428 
429  } //End of loop over integration points
430  }

References f(), i, J, GlobalPhysicalVariables::Re, w, and oomph::QuadTreeNames::W.

◆ df_dt() [1/2]

double SSPorousChannelEquations::df_dt ( const unsigned &  n,
const unsigned &  i 
) const
inline

// i-th component of df/dt at local node n. Uses suitably interpolated value for hanging nodes.

236  {
237  // Get the data's timestepper
238  TimeStepper* time_stepper_pt=node_pt(n)->time_stepper_pt();
239 
240  // Number of timsteps (past & present)
241  unsigned n_time = time_stepper_pt->ntstorage();
242 
243  double dfdt=0.0;
244 
245  //Loop over the timesteps
246  if (time_stepper_pt->type()!="Static")
247  {
248  for(unsigned t=0;t<n_time;t++)
249  {
250  dfdt+=time_stepper_pt->weight(1,t)*f(t,n,i);
251  }
252  }
253 
254  return dfdt;
255  }
n
const unsigned n
Definition: CG3DPackingUnitTest.cpp:11
oomph::GeomObject::time_stepper_pt
TimeStepper *& time_stepper_pt()
Definition: geom_objects.h:192
oomph::TimeStepper
Definition: timesteppers.h:231
oomph::TimeStepper::ntstorage
unsigned ntstorage() const
Definition: timesteppers.h:601
oomph::TimeStepper::type
std::string type() const
Definition: timesteppers.h:490
plotPSD.t
t
Definition: plotPSD.py:36

References f(), i, n, oomph::TimeStepper::ntstorage(), plotPSD::t, oomph::TimeStepper::type(), and oomph::TimeStepper::weight().

◆ df_dt() [2/2]

double SSPorousChannelEquations::df_dt ( const unsigned &  n,
const unsigned &  i 
) const
inline

// i-th component of df/dt at local node n. Uses suitably interpolated value for hanging nodes.

236  {
237  // Get the data's timestepper
238  TimeStepper* time_stepper_pt=node_pt(n)->time_stepper_pt();
239 
240  // Number of timsteps (past & present)
241  unsigned n_time = time_stepper_pt->ntstorage();
242 
243  double dfdt=0.0;
244 
245  //Loop over the timesteps
246  if (time_stepper_pt->type()!="Static")
247  {
248  for(unsigned t=0;t<n_time;t++)
249  {
250  dfdt+=time_stepper_pt->weight(1,t)*f(t,n,i);
251  }
252  }
253 
254  return dfdt;
255  }

References f(), i, n, oomph::TimeStepper::ntstorage(), plotPSD::t, oomph::TimeStepper::type(), and oomph::TimeStepper::weight().

◆ dshape_and_dtest_eulerian_at_knot() [1/2]

virtual double SSPorousChannelEquations::dshape_and_dtest_eulerian_at_knot ( const unsigned &  ipt,
Shape &  psi,
DShape &  dpsidx,
Shape &  test,
DShape &  dtestdx 
)
protectedpure virtual

Function to compute the shape functions and derivatives w.r.t. global coords at local coordinates.

Implemented in SSPorousChannelElement, and SSPorousChannelElement.

◆ dshape_and_dtest_eulerian_at_knot() [2/2]

virtual double SSPorousChannelEquations::dshape_and_dtest_eulerian_at_knot ( const unsigned &  ipt,
Shape &  psi,
DShape &  dpsidx,
Shape &  test,
DShape &  dtestdx 
)
protectedpure virtual

Function to compute the shape functions and derivatives w.r.t. global coords at local coordinates.

Implemented in SSPorousChannelElement, and SSPorousChannelElement.

◆ f() [1/4]

virtual double SSPorousChannelEquations::f ( const unsigned &  b,
const unsigned &  i 
) const
pure virtual

Return the i-th ODE variable stored at the n-th local node.

Implemented in SSPorousChannelElement, and SSPorousChannelElement.

◆ f() [2/4]

virtual double SSPorousChannelEquations::f ( const unsigned &  b,
const unsigned &  i 
) const
pure virtual

Return the i-th ODE variable stored at the n-th local node.

Implemented in SSPorousChannelElement, and SSPorousChannelElement.

◆ f() [3/4]

virtual double SSPorousChannelEquations::f ( const unsigned &  t,
const unsigned &  n,
const unsigned &  i 
) const
pure virtual

Return the i-th ODE variable stored at the n-th local node at time t.

Implemented in SSPorousChannelElement, and SSPorousChannelElement.

◆ f() [4/4]

virtual double SSPorousChannelEquations::f ( const unsigned &  t,
const unsigned &  n,
const unsigned &  i 
) const
pure virtual

Return the i-th ODE variable stored at the n-th local node at time t.

Implemented in SSPorousChannelElement, and SSPorousChannelElement.

◆ fill_in_contribution_to_jacobian() [1/2]

void SSPorousChannelEquations::fill_in_contribution_to_jacobian ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian 
)
inlinevirtual

This function returns the residuals and the jacobian.

Reimplemented from oomph::GeneralisedElement.

269  {
270  //Call the generic routine with the flag set to 1
271  add_generic_residual_contribution(residuals,jacobian,1);
272  }
SSPorousChannelEquations::add_generic_residual_contribution
void add_generic_residual_contribution(Vector< double > &residuals, DenseMatrix< double > &jacobian, unsigned flag)
Definition: bifurcation_tracking/pitchfork.cc:279

◆ fill_in_contribution_to_jacobian() [2/2]

void SSPorousChannelEquations::fill_in_contribution_to_jacobian ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian 
)
inlinevirtual

This function returns the residuals and the jacobian.

Reimplemented from oomph::GeneralisedElement.

269  {
270  //Call the generic routine with the flag set to 1
271  add_generic_residual_contribution(residuals,jacobian,1);
272  }

◆ fill_in_contribution_to_residuals() [1/2]

void SSPorousChannelEquations::fill_in_contribution_to_residuals ( Vector< double > &  residuals)
inlinevirtual

This function returns just the residuals.

Reimplemented from oomph::GeneralisedElement.

259  {
260  //Create a dummy matrix
261  DenseMatrix<double> dummy(1);
262  //Call the generic residuals function with flag set to 0
263  add_generic_residual_contribution(residuals,dummy,0);
264  }

◆ fill_in_contribution_to_residuals() [2/2]

void SSPorousChannelEquations::fill_in_contribution_to_residuals ( Vector< double > &  residuals)
inlinevirtual

This function returns just the residuals.

Reimplemented from oomph::GeneralisedElement.

259  {
260  //Create a dummy matrix
261  DenseMatrix<double> dummy(1);
262  //Call the generic residuals function with flag set to 0
263  add_generic_residual_contribution(residuals,dummy,0);
264  }

◆ interpolated_f() [1/2]

double SSPorousChannelEquations::interpolated_f ( const Vector< double > &  s,
const unsigned &  i 
)
inline

FE interpolated values of the arguments.

434  {
435  //Find number of nodes
436  unsigned n_node = nnode();
437  //Local shape function
438  Shape psi(n_node);
439  //Find values of the shape function
440  shape(s,psi);
441 
442  //Initialise value of f
443  double interpolated_f = 0.0;
444  //Loop over the nodes and add to the sum
445  for(unsigned l=0;l<n_node;l++)
446  {
447  interpolated_f += f(l,i)*psi[l];
448  }
449 
450  return(interpolated_f);
451  }
oomph::FiniteElement::shape
virtual void shape(const Vector< double > &s, Shape &psi) const =0
s
RealScalar s
Definition: level1_cplx_impl.h:130

References f(), i, s, and oomph::OneDimLagrange::shape().

Referenced by main().

◆ interpolated_f() [2/2]

double SSPorousChannelEquations::interpolated_f ( const Vector< double > &  s,
const unsigned &  i 
)
inline

FE interpolated values of the arguments.

434  {
435  //Find number of nodes
436  unsigned n_node = nnode();
437  //Local shape function
438  Shape psi(n_node);
439  //Find values of the shape function
440  shape(s,psi);
441 
442  //Initialise value of f
443  double interpolated_f = 0.0;
444  //Loop over the nodes and add to the sum
445  for(unsigned l=0;l<n_node;l++)
446  {
447  interpolated_f += f(l,i)*psi[l];
448  }
449 
450  return(interpolated_f);
451  }

References f(), i, s, and oomph::OneDimLagrange::shape().

◆ output() [1/4]

void SSPorousChannelEquations::output ( ostream &  outfile)
inlinevirtual

Overload the output function.

Reimplemented from oomph::FiniteElement.

Reimplemented in SSPorousChannelElement, and SSPorousChannelElement.

454 {FiniteElement::output(outfile);}
output
void output(std::ostream &outfile, const unsigned &nplot)
Overload output function.
Definition: overloaded_element_body.h:490

References output().

◆ output() [2/4]

void SSPorousChannelEquations::output ( ostream &  outfile)
inlinevirtual

Overload the output function.

Reimplemented from oomph::FiniteElement.

Reimplemented in SSPorousChannelElement.

454 {FiniteElement::output(outfile);}

References output().

◆ output() [3/4]

void SSPorousChannelEquations::output ( ostream &  outfile,
const unsigned &  Np 
)
inlinevirtual

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

Reimplemented from oomph::FiniteElement.

Reimplemented in SSPorousChannelElement, and SSPorousChannelElement.

458  {FiniteElement::output(outfile,Np);}

References output().

◆ output() [4/4]

void SSPorousChannelEquations::output ( ostream &  outfile,
const unsigned &  Np 
)
inlinevirtual

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

Reimplemented from oomph::FiniteElement.

Reimplemented in SSPorousChannelElement.

458  {FiniteElement::output(outfile,Np);}

References output().

◆ re() [1/2]

const double& SSPorousChannelEquations::re ( ) const
inline

Access functions for the Reynolds number.

221 {return *Re_pt;}
SSPorousChannelEquations::Re_pt
double * Re_pt
Definition: bifurcation_tracking/pitchfork.cc:206

◆ re() [2/2]

const double& SSPorousChannelEquations::re ( ) const
inline

Access functions for the Reynolds number.

221 {return *Re_pt;}

◆ re_pt() [1/2]

double* & SSPorousChannelEquations::re_pt ( )
inline

Access function for a pointer to the Reynolds number.

224 {return Re_pt;}

◆ re_pt() [2/2]

double* & SSPorousChannelEquations::re_pt ( )
inline

Access function for a pointer to the Reynolds number.

224 {return Re_pt;}

Member Data Documentation

◆ Re_pt

double * SSPorousChannelEquations::Re_pt
private
The documentation for this class was generated from the following file: