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

#include <discontinuous_galerkin_equal_order_pressure_spacetime_fluid_traction_elements.h>

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

Public Member Functions

 NavierStokesSpaceTimeTractionElement (FiniteElement *const &element_pt, const int &face_index, const bool &called_from_refineable_constructor=false)
 
 ~NavierStokesSpaceTimeTractionElement ()
 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 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...
 
 NavierStokesSpaceTimeTractionElement (FiniteElement *const &element_pt, const int &face_index, const bool &called_from_refineable_constructor=false)
 
 ~NavierStokesSpaceTimeTractionElement ()
 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 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...
 
 NavierStokesSpaceTimeTractionElement (FiniteElement *const &element_pt, const int &face_index, const bool &called_from_refineable_constructor=false)
 
 ~NavierStokesSpaceTimeTractionElement ()
 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 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...
 
- 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 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
 

Public Attributes

void(*&)(const double &t, const Vector< double > &x, const Vector< double > &n, Vector< double > &result) traction_fct_pt ()
 Access function for the imposed traction pointer. More...
 

Protected Member Functions

void fill_in_generic_residual_contribution_fluid_traction (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)
 
double zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
 
virtual int u_local_eqn (const unsigned &n, const unsigned &i)
 
double shape_and_test_at_knot (const unsigned &ipt, Shape &psi, Shape &test) const
 
void get_traction (const double &time, const Vector< double > &x, const Vector< double > &n, Vector< double > &result)
 Function to calculate the traction applied to the fluid. More...
 
void fill_in_generic_residual_contribution_fluid_traction (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)
 
double zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
 
virtual int u_local_eqn (const unsigned &n, const unsigned &i)
 
double shape_and_test_at_knot (const unsigned &ipt, Shape &psi, Shape &test) const
 
void get_traction (const double &time, const Vector< double > &x, const Vector< double > &n, Vector< double > &result)
 Function to calculate the traction applied to the fluid. More...
 
void fill_in_generic_residual_contribution_fluid_traction (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)
 
double zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
 
virtual int u_local_eqn (const unsigned &n, const unsigned &i)
 
double shape_and_test_at_knot (const unsigned &ipt, Shape &psi, Shape &test) const
 
void get_traction (const double &time, const Vector< double > &x, const Vector< double > &n, Vector< double > &result)
 Function to calculate the traction applied to the fluid. More...
 
- 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)
 
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)
 

Protected Attributes

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

void(* Traction_fct_pt )(const double &time, const Vector< double > &x, const Vector< double > &n, Vector< double > &result)
 Pointer to an imposed traction function. 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::NavierStokesSpaceTimeTractionElement< ELEMENT >

A class for elements that allow the imposition of an applied traction to the Navier–Stokes equations The geometrical information can be read from the FaceGeometry<ELEMENT> class and and thus, we can be generic enough without the need to have a separate equations class

Constructor & Destructor Documentation

◆ NavierStokesSpaceTimeTractionElement() [1/3]

template<class ELEMENT >
oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::NavierStokesSpaceTimeTractionElement ( FiniteElement *const &  element_pt,
const int &  face_index,
const bool &  called_from_refineable_constructor = false 
)
inline

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

69  : FaceGeometry<ELEMENT>(), FaceElement()
70  {
71  // Attach the geometrical information to the element. N.B. This function
72  // also assigns nbulk_value from the required_nvalue of the bulk element
73  element_pt->build_face_element(face_index, this);
74 
75 #ifdef PARANOID
76  {
77  // Check that the element is not a refineable 3D element
78  if (!called_from_refineable_constructor)
79  {
80  // If it's 3D
81  if (element_pt->dim() == 3)
82  {
83  // Is it refineable
84  RefineableElement* ref_el_pt =
85  dynamic_cast<RefineableElement*>(element_pt);
86 
87  // If the upcast was successful
88  if (ref_el_pt != 0)
89  {
90  // If there are any hanging nodes
91  if (this->has_hanging_nodes())
92  {
93  // Create an output stream
94  std::ostringstream error_message_stream;
95 
96  // Create an error message
97  error_message_stream
98  << "This flux element will not work correctly "
99  << "if nodes are hanging" << std::endl;
100 
101  // Throw the error message
102  throw OomphLibError(error_message_stream.str(),
103  OOMPH_CURRENT_FUNCTION,
104  OOMPH_EXCEPTION_LOCATION);
105  }
106  } // if (ref_el_pt!=0)
107  } // if (element_pt->dim()==3)
108  } // if (!called_from_refineable_constructor)
109  }
110 #endif
111 
112  // Set the body force function pointer to zero
113  Traction_fct_pt = 0;
114 
115  // Set the dimension from the dimension of the first node
116  Dim = this->node_pt(0)->ndim();
117  } // End of NavierStokesSpaceTimeTractionElement
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::FiniteElement::has_hanging_nodes
bool has_hanging_nodes() const
Definition: elements.h:2470
oomph::NavierStokesSpaceTimeTractionElement::Dim
unsigned Dim
The highest dimension of the problem.
Definition: discontinuous_galerkin_equal_order_pressure_spacetime_fluid_traction_elements.h:300
oomph::NavierStokesSpaceTimeTractionElement::Traction_fct_pt
void(* Traction_fct_pt)(const double &time, const Vector< double > &x, const Vector< double > &n, Vector< double > &result)
Pointer to an imposed traction function.
Definition: discontinuous_galerkin_equal_order_pressure_spacetime_fluid_traction_elements.h:57
oomph::Node::ndim
unsigned ndim() const
Return (Eulerian) spatial dimension of the node.
Definition: nodes.h:1054
OOMPH_EXCEPTION_LOCATION
#define OOMPH_EXCEPTION_LOCATION
Definition: oomph_definitions.h:61
OOMPH_CURRENT_FUNCTION
#define OOMPH_CURRENT_FUNCTION
Definition: oomph_definitions.h:86

References oomph::FiniteElement::build_face_element(), oomph::FiniteElement::dim(), oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Dim, oomph::FaceElement::face_index(), oomph::FiniteElement::has_hanging_nodes(), oomph::Node::ndim(), oomph::FiniteElement::node_pt(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Traction_fct_pt.

◆ ~NavierStokesSpaceTimeTractionElement() [1/3]

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

Destructor should not delete anything.

121 {}

◆ NavierStokesSpaceTimeTractionElement() [2/3]

template<class ELEMENT >
oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::NavierStokesSpaceTimeTractionElement ( FiniteElement *const &  element_pt,
const int &  face_index,
const bool &  called_from_refineable_constructor = false 
)
inline

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

69  : FaceGeometry<ELEMENT>(), FaceElement()
70  {
71  // Attach the geometrical information to the element. N.B. This function
72  // also assigns nbulk_value from the required_nvalue of the bulk element
73  element_pt->build_face_element(face_index, this);
74 
75 #ifdef PARANOID
76  {
77  // Check that the element is not a refineable 3D element
78  if (!called_from_refineable_constructor)
79  {
80  // If it's 3D
81  if (element_pt->dim() == 3)
82  {
83  // Is it refineable
84  RefineableElement* ref_el_pt =
85  dynamic_cast<RefineableElement*>(element_pt);
86 
87  // If the upcast was successful
88  if (ref_el_pt != 0)
89  {
90  // If there are any hanging nodes
91  if (this->has_hanging_nodes())
92  {
93  // Create an output stream
94  std::ostringstream error_message_stream;
95 
96  // Create an error message
97  error_message_stream
98  << "This flux element will not work correctly "
99  << "if nodes are hanging" << std::endl;
100 
101  // Throw the error message
102  throw OomphLibError(error_message_stream.str(),
103  OOMPH_CURRENT_FUNCTION,
104  OOMPH_EXCEPTION_LOCATION);
105  }
106  } // if (ref_el_pt!=0)
107  } // if (element_pt->dim()==3)
108  } // if (!called_from_refineable_constructor)
109  }
110 #endif
111 
112  // Set the body force function pointer to zero
113  Traction_fct_pt = 0;
114 
115  // Set the dimension from the dimension of the first node
116  Dim = this->node_pt(0)->ndim();
117  } // End of NavierStokesSpaceTimeTractionElement

References oomph::FiniteElement::build_face_element(), oomph::FiniteElement::dim(), oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Dim, oomph::FaceElement::face_index(), oomph::FiniteElement::has_hanging_nodes(), oomph::Node::ndim(), oomph::FiniteElement::node_pt(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Traction_fct_pt.

◆ ~NavierStokesSpaceTimeTractionElement() [2/3]

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

Destructor should not delete anything.

121 {}

◆ NavierStokesSpaceTimeTractionElement() [3/3]

template<class ELEMENT >
oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::NavierStokesSpaceTimeTractionElement ( FiniteElement *const &  element_pt,
const int &  face_index,
const bool &  called_from_refineable_constructor = false 
)
inline

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

70  : FaceGeometry<ELEMENT>(), FaceElement()
71  {
72  // Attach the geometrical information to the element. N.B. This function
73  // also assigns nbulk_value from the required_nvalue of the bulk element
74  element_pt->build_face_element(face_index, this);
75 
76 #ifdef PARANOID
77  {
78  // Check that the element is not a refineable 3D element
79  if (!called_from_refineable_constructor)
80  {
81  // If it's 3D
82  if (element_pt->dim() == 3)
83  {
84  // Is it refineable
85  RefineableElement* ref_el_pt =
86  dynamic_cast<RefineableElement*>(element_pt);
87 
88  // If the upcast was successful
89  if (ref_el_pt != 0)
90  {
91  // If there are any hanging nodes
92  if (this->has_hanging_nodes())
93  {
94  // Create an output stream
95  std::ostringstream error_message_stream;
96 
97  // Create an error message
98  error_message_stream
99  << "This flux element will not work correctly "
100  << "if nodes are hanging" << std::endl;
101 
102  // Throw the error message
103  throw OomphLibError(error_message_stream.str(),
104  OOMPH_CURRENT_FUNCTION,
105  OOMPH_EXCEPTION_LOCATION);
106  }
107  } // if (ref_el_pt!=0)
108  } // if (element_pt->dim()==3)
109  } // if (!called_from_refineable_constructor)
110  }
111 #endif
112 
113  // Set the body force function pointer to zero
114  Traction_fct_pt = 0;
115 
116  // Set the dimension from the dimension of the first node
117  Dim = this->node_pt(0)->ndim();
118  } // End of NavierStokesSpaceTimeTractionElement

References oomph::FiniteElement::build_face_element(), oomph::FiniteElement::dim(), oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Dim, oomph::FaceElement::face_index(), oomph::FiniteElement::has_hanging_nodes(), oomph::Node::ndim(), oomph::FiniteElement::node_pt(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Traction_fct_pt.

◆ ~NavierStokesSpaceTimeTractionElement() [3/3]

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

Destructor should not delete anything.

122 {}

Member Function Documentation

◆ fill_in_contribution_to_jacobian() [1/3]

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

This function returns the residuals and the jacobian.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >, oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >, and oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >.

148  {
149  // Call the generic routine with the flag set to 1
150  fill_in_generic_residual_contribution_fluid_traction(
151  residuals, jacobian, 1);
152  }
oomph::NavierStokesSpaceTimeTractionElement::fill_in_generic_residual_contribution_fluid_traction
void fill_in_generic_residual_contribution_fluid_traction(Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)
Definition: discontinuous_galerkin_equal_order_pressure_spacetime_fluid_traction_elements.h:313

References oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::fill_in_generic_residual_contribution_fluid_traction().

◆ fill_in_contribution_to_jacobian() [2/3]

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

This function returns the residuals and the jacobian.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >, and oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >.

148  {
149  // Call the generic routine with the flag set to 1
150  fill_in_generic_residual_contribution_fluid_traction(
151  residuals, jacobian, 1);
152  }

References oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::fill_in_generic_residual_contribution_fluid_traction().

◆ fill_in_contribution_to_jacobian() [3/3]

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

This function returns the residuals and the jacobian.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >.

149  {
150  // Call the generic routine with the flag set to 1
151  fill_in_generic_residual_contribution_fluid_traction(
152  residuals, jacobian, 1);
153  }

References oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::fill_in_generic_residual_contribution_fluid_traction().

◆ fill_in_contribution_to_residuals() [1/3]

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

This function returns just the residuals.

Reimplemented from oomph::GeneralisedElement.

Reimplemented in oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >, oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >, and oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >.

137  {
138  // Call the generic residuals function with flag set to 0
139  // using a dummy matrix argument
140  fill_in_generic_residual_contribution_fluid_traction(
141  residuals, GeneralisedElement::Dummy_matrix, 0);
142  }
oomph::GeneralisedElement::Dummy_matrix
static DenseMatrix< double > Dummy_matrix
Definition: elements.h:227

References oomph::GeneralisedElement::Dummy_matrix, and oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::fill_in_generic_residual_contribution_fluid_traction().

◆ fill_in_contribution_to_residuals() [2/3]

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

This function returns just the residuals.

Reimplemented from oomph::GeneralisedElement.

Reimplemented in oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >, and oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >.

137  {
138  // Call the generic residuals function with flag set to 0
139  // using a dummy matrix argument
140  fill_in_generic_residual_contribution_fluid_traction(
141  residuals, GeneralisedElement::Dummy_matrix, 0);
142  }

References oomph::GeneralisedElement::Dummy_matrix, and oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::fill_in_generic_residual_contribution_fluid_traction().

◆ fill_in_contribution_to_residuals() [3/3]

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

This function returns just the residuals.

Reimplemented from oomph::GeneralisedElement.

Reimplemented in oomph::RefineableNavierStokesSpaceTimeTractionElement< ELEMENT >.

138  {
139  // Call the generic residuals function with flag set to 0
140  // using a dummy matrix argument
141  fill_in_generic_residual_contribution_fluid_traction(
142  residuals, GeneralisedElement::Dummy_matrix, 0);
143  }

References oomph::GeneralisedElement::Dummy_matrix, and oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::fill_in_generic_residual_contribution_fluid_traction().

◆ fill_in_generic_residual_contribution_fluid_traction() [1/3]

template<class ELEMENT >
void oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::fill_in_generic_residual_contribution_fluid_traction ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian,
const 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

317  {
318  // Find out how many nodes there are
319  unsigned n_node = nnode();
320 
321  // Set up memory for the shape functions
322  Shape psif(n_node);
323 
324  // Set up memory for the test functions
325  Shape testf(n_node);
326 
327  // Number of integration points
328  unsigned n_intpt = integral_pt()->nweight();
329 
330  // Integers to store local equation numbers
331  int local_eqn = 0;
332 
333  // Loop over the integration points
334  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
335  {
336  // Get the integral weight
337  double w = integral_pt()->weight(ipt);
338 
339  // Find the shape and test functions and return the Jacobian
340  // of the mapping
341  double J = shape_and_test_at_knot(ipt, psif, testf);
342 
343  // Premultiply the weights and the Jacobian
344  double W = w * J;
345 
346  // Get continuous time
347  double interpolated_t = 0.0;
348 
349  // Need to find position to feed into traction function
350  Vector<double> interpolated_x(Dim - 1, 0.0);
351 
352  // Allocate space for the outer unit normal
353  Vector<double> interpolated_spacetime_n(Dim, 0.0);
354 
355  // Allocate space for the outer unit normal (in the given time slice)
356  Vector<double> interpolated_n(Dim - 1, 0.0);
357 
358  // Allocate space for the traction vector
359  Vector<double> traction(Dim - 1, 0.0);
360 
361  // Calculate velocities and derivatives
362  for (unsigned l = 0; l < n_node; l++)
363  {
364  // Update the interpolated time value
365  interpolated_t += raw_nodal_position(l, Dim - 1) * psif(l);
366 
367  // Loop over velocity components
368  for (unsigned i = 0; i < Dim - 1; i++)
369  {
370  // Update the i-th interpolated coordinate value
371  interpolated_x[i] += nodal_position(l, i) * psif(l);
372  }
373  } // for (unsigned l=0;l<n_node;l++)
374 
375  // Calculate the outer unit normal
376  outer_unit_normal(ipt, interpolated_spacetime_n);
377 
378 #ifdef PARANOID
379  // Sanity check: Make sure the normal component in the time-direction is
380  // zero. If it isn't then something has gone wrong...
381  if (std::fabs(interpolated_spacetime_n[Dim - 1]) > 1.0e-15)
382  {
383  // Create an output stream
384  std::ostringstream error_message_stream;
385 
386  // Create the error message
387  error_message_stream
388  << "The component of the outer unit normal in the "
389  << "time-direction\nshould be zero but the actual "
390  << "value is: " << interpolated_spacetime_n[Dim - 1] << std::endl;
391 
392  // Throw the error message
393  throw OomphLibError(error_message_stream.str(),
394  OOMPH_CURRENT_FUNCTION,
395  OOMPH_EXCEPTION_LOCATION);
396  }
397 #endif
398 
399  // Loop over spatial coordinates
400  for (unsigned i = 0; i < Dim - 1; i++)
401  {
402  // Copy the i-th normal component over
403  interpolated_n[i] = interpolated_spacetime_n[i];
404  }
405 
406  // Get the user-defined traction
407  get_traction(interpolated_t, interpolated_x, interpolated_n, traction);
408 
409  // Now add to the appropriate equations:
410 
411  // Loop over the test functions
412  for (unsigned l = 0; l < n_node; l++)
413  {
414  // Loop over the velocity components
415  for (unsigned i = 0; i < Dim - 1; i++)
416  {
417  // Get the local equation number associated with this unknown and node
418  local_eqn = u_local_eqn(l, i);
419 
420  // If it's not a boundary condition
421  if (local_eqn >= 0)
422  {
423  // Add the user-defined traction terms
424  residuals[local_eqn] += traction[i] * testf[l] * W;
425 
426  // Assuming the traction DOES NOT depend upon velocities
427  // or pressures, the jacobian is always zero, so no jacobian
428  // terms are required
429  }
430  } // for (unsigned i=0;i<Dim;i++)
431  } // for (unsigned l=0;l<n_node;l++)
432  } // for (unsigned ipt=0;ipt<n_intpt;ipt++)
433  } // End of fill_in_generic_residual_contribution_fluid_traction
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::outer_unit_normal
void outer_unit_normal(const Vector< double > &s, Vector< double > &unit_normal) const
Compute outer unit normal at the specified local coordinate.
Definition: elements.cc:6006
oomph::FaceElement::interpolated_x
double interpolated_x(const Vector< double > &s, const unsigned &i) const
Definition: elements.h:4528
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::FiniteElement::raw_nodal_position
double raw_nodal_position(const unsigned &n, const unsigned &i) const
Definition: elements.cc:1686
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::NavierStokesSpaceTimeTractionElement::u_local_eqn
virtual int u_local_eqn(const unsigned &n, const unsigned &i)
Definition: discontinuous_galerkin_equal_order_pressure_spacetime_fluid_traction_elements.h:193
oomph::NavierStokesSpaceTimeTractionElement::shape_and_test_at_knot
double shape_and_test_at_knot(const unsigned &ipt, Shape &psi, Shape &test) const
Definition: discontinuous_galerkin_equal_order_pressure_spacetime_fluid_traction_elements.h:200
oomph::NavierStokesSpaceTimeTractionElement::get_traction
void get_traction(const double &time, const Vector< double > &x, const Vector< double > &n, Vector< double > &result)
Function to calculate the traction applied to the fluid.
Definition: discontinuous_galerkin_equal_order_pressure_spacetime_fluid_traction_elements.h:275
boost::multiprecision::fabs
Real fabs(const Real &a)
Definition: boostmultiprec.cpp:117
oomph::QuadTreeNames::W
@ W
Definition: quadtree.h:63

References Global_Variables::Dim, boost::multiprecision::fabs(), i, J, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, w, and oomph::QuadTreeNames::W.

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

◆ fill_in_generic_residual_contribution_fluid_traction() [2/3]

template<class ELEMENT >
void oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::fill_in_generic_residual_contribution_fluid_traction ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian,
const 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.

◆ fill_in_generic_residual_contribution_fluid_traction() [3/3]

template<class ELEMENT >
void oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::fill_in_generic_residual_contribution_fluid_traction ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian,
const 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.

◆ get_traction() [1/3]

template<class ELEMENT >
void oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::get_traction ( const double &  time,
const Vector< double > &  x,
const Vector< double > &  n,
Vector< double > &  result 
)
inlineprotected

Function to calculate the traction applied to the fluid.

279  {
280  // If the function pointer is zero return zero
281  if (Traction_fct_pt == 0)
282  {
283  // Loop over the (spatial) dimensions
284  for (unsigned i = 0; i < Dim - 1; i++)
285  {
286  // Set the i-th traction component to zero
287  result[i] = 0.0;
288  }
289  }
290  // If the traction function pointer has been set
291  else
292  {
293  // Call the function pointer
294  (*Traction_fct_pt)(time, x, n, result);
295  } // if (Traction_fct_pt==0)
296  } // End of get_traction
n
const unsigned n
Definition: CG3DPackingUnitTest.cpp:11
plotDoE.x
list x
Definition: plotDoE.py:28

References oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Dim, i, n, oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Traction_fct_pt, and plotDoE::x.

◆ get_traction() [2/3]

template<class ELEMENT >
void oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::get_traction ( const double &  time,
const Vector< double > &  x,
const Vector< double > &  n,
Vector< double > &  result 
)
inlineprotected

Function to calculate the traction applied to the fluid.

279  {
280  // If the function pointer is zero return zero
281  if (Traction_fct_pt == 0)
282  {
283  // Loop over the (spatial) dimensions
284  for (unsigned i = 0; i < Dim - 1; i++)
285  {
286  // Set the i-th traction component to zero
287  result[i] = 0.0;
288  }
289  }
290  // If the traction function pointer has been set
291  else
292  {
293  // Call the function pointer
294  (*Traction_fct_pt)(time, x, n, result);
295  } // if (Traction_fct_pt==0)
296  } // End of get_traction

References oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Dim, i, n, oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Traction_fct_pt, and plotDoE::x.

◆ get_traction() [3/3]

template<class ELEMENT >
void oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::get_traction ( const double &  time,
const Vector< double > &  x,
const Vector< double > &  n,
Vector< double > &  result 
)
inlineprotected

Function to calculate the traction applied to the fluid.

221  {
222  // If the function pointer is zero return zero
223  if (Traction_fct_pt == 0)
224  {
225  // Loop over the (spatial) dimensions
226  for (unsigned i = 0; i < Dim - 1; i++)
227  {
228  // Set the i-th traction component to zero
229  result[i] = 0.0;
230  }
231  }
232  // If the traction function pointer has been set
233  else
234  {
235  // Call the function pointer
236  (*Traction_fct_pt)(time, x, n, result);
237  } // if (Traction_fct_pt==0)
238  } // End of get_traction

References oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Dim, i, n, oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Traction_fct_pt, and plotDoE::x.

◆ output() [1/6]

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

Overload the output function.

Reimplemented from oomph::FiniteElement.

157  {
158  FiniteElement::output(outfile);
159  }
oomph::FiniteElement::output
virtual void output(std::ostream &outfile)
Definition: elements.h:3050

References oomph::FiniteElement::output().

◆ output() [2/6]

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

Overload the output function.

Reimplemented from oomph::FiniteElement.

157  {
158  FiniteElement::output(outfile);
159  }

References oomph::FiniteElement::output().

◆ output() [3/6]

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

Overload the output function.

Reimplemented from oomph::FiniteElement.

158  {
159  FiniteElement::output(outfile);
160  }

References oomph::FiniteElement::output().

◆ output() [4/6]

template<class ELEMENT >
void oomph::NavierStokesSpaceTimeTractionElement< 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.

164  {
165  FiniteElement::output(outfile, nplot);
166  }

References oomph::FiniteElement::output().

◆ output() [5/6]

template<class ELEMENT >
void oomph::NavierStokesSpaceTimeTractionElement< 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.

164  {
165  FiniteElement::output(outfile, nplot);
166  }

References oomph::FiniteElement::output().

◆ output() [6/6]

template<class ELEMENT >
void oomph::NavierStokesSpaceTimeTractionElement< 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.

165  {
166  FiniteElement::output(outfile, nplot);
167  }

References oomph::FiniteElement::output().

◆ shape_and_test_at_knot() [1/3]

template<class ELEMENT >
double oomph::NavierStokesSpaceTimeTractionElement< 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

203  {
204  //--------------------------
205  // Call the shape functions:
206  //--------------------------
207  // Calculate the shape functions
208  shape_at_knot(ipt, psi);
209 
210  //-------------------------
211  // Call the test functions:
212  //-------------------------
213  // Find the dimension of the element
214  const unsigned el_dim = dim();
215 
216  // Storage for the local coordinates of the integration point
217  Vector<double> s(el_dim);
218 
219  // Set the local coordinate
220  for (unsigned i = 0; i < el_dim; i++)
221  {
222  // Get the i-th local coordinate associated with the ipt-th knot point
223  s[i] = integral_pt()->knot(ipt, i);
224  }
225 
226  // Sanity check
227  if (el_dim != 2)
228  {
229  // Throw an error
230  throw OomphLibError(
231  "Can only deal with 2D space-time traction elements!",
232  OOMPH_CURRENT_FUNCTION,
233  OOMPH_EXCEPTION_LOCATION);
234  }
235 
236  //--------start_of_shape------------------------------------------------
237  // Number of nodes in each direction
238  const unsigned nnode_1d = 3;
239 
240  // Local storage
241  double test_values[2][nnode_1d];
242 
243  // Call the OneDimensional shape function (for x or y) with quadratic
244  // interpolation
245  OneDimLagrange::shape<3>(s[0], test_values[0]);
246 
247  // Call the OneDimensional shape function. NOTE: The second local
248  // coordinate will always be time for a space-time element!
249  OneDimDiscontinuousGalerkin::shape<3>(s[1], test_values[1]);
250 
251  // Index for the shape functions
252  unsigned index = 0;
253 
254  // Loop over the first local coordinate direction
255  for (unsigned j = 0; j < nnode_1d; j++)
256  {
257  // Loop over the first local coordinate direction
258  for (unsigned i = 0; i < nnode_1d; i++)
259  {
260  // Multiply the two 1D functions together to get the 2D function
261  test[index] = test_values[0][i] * test_values[1][j];
262 
263  // Increment the index
264  index++;
265  }
266  } // for (unsigned j=0;j<nnode_1d;j++)
267  //--------end_of_shape--------------------------------------------------
268 
269  // Return the value of the jacobian
270  return J_eulerian_at_knot(ipt);
271  } // End of shape_and_test_at_knot
oomph::FaceElement::J_eulerian_at_knot
double J_eulerian_at_knot(const unsigned &ipt) const
Definition: elements.cc:5328
oomph::FiniteElement::dim
unsigned dim() const
Definition: elements.h:2611
oomph::FiniteElement::nnode_1d
virtual unsigned nnode_1d() const
Definition: elements.h:2218
oomph::FiniteElement::shape_at_knot
virtual void shape_at_knot(const unsigned &ipt, Shape &psi) const
Definition: elements.cc:3220
oomph::Integral::knot
virtual double knot(const unsigned &i, const unsigned &j) const =0
Return local coordinate s[j] of i-th integration point.
s
RealScalar s
Definition: level1_cplx_impl.h:130
oomph::OneDimDiscontinuousGalerkin::shape< 3 >
void shape< 3 >(const double &s, double *Psi)
1D shape functions specialised to quadratic order (3 Nodes)
Definition: shape.h:810
oomph::OneDimLagrange::shape< 3 >
void shape< 3 >(const double &s, double *Psi)
1D shape functions specialised to quadratic order (3 Nodes)
Definition: shape.h:635
test
Definition: indexed_view.cpp:20
el_dim
unsigned el_dim
dimension
Definition: overloaded_cartesian_element_body.h:30
j
std::ptrdiff_t j
Definition: tut_arithmetic_redux_minmax.cpp:2

References oomph::FiniteElement::dim(), el_dim, i, oomph::FiniteElement::integral_pt(), j, oomph::FaceElement::J_eulerian_at_knot(), oomph::Integral::knot(), oomph::FiniteElement::nnode_1d(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, s, oomph::OneDimLagrange::shape< 3 >(), oomph::OneDimDiscontinuousGalerkin::shape< 3 >(), and oomph::FiniteElement::shape_at_knot().

◆ shape_and_test_at_knot() [2/3]

template<class ELEMENT >
double oomph::NavierStokesSpaceTimeTractionElement< 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

203  {
204  //--------------------------
205  // Call the shape functions:
206  //--------------------------
207  // Calculate the shape functions
208  shape_at_knot(ipt, psi);
209 
210  //-------------------------
211  // Call the test functions:
212  //-------------------------
213  // Find the dimension of the element
214  const unsigned el_dim = dim();
215 
216  // Storage for the local coordinates of the integration point
217  Vector<double> s(el_dim);
218 
219  // Set the local coordinate
220  for (unsigned i = 0; i < el_dim; i++)
221  {
222  // Get the i-th local coordinate associated with the ipt-th knot point
223  s[i] = integral_pt()->knot(ipt, i);
224  }
225 
226  // Sanity check
227  if (el_dim != 2)
228  {
229  // Throw an error
230  throw OomphLibError(
231  "Can only deal with 2D space-time traction elements!",
232  OOMPH_CURRENT_FUNCTION,
233  OOMPH_EXCEPTION_LOCATION);
234  }
235 
236  //--------start_of_shape------------------------------------------------
237  // Number of nodes in each direction
238  const unsigned nnode_1d = 3;
239 
240  // Local storage
241  double test_values[2][nnode_1d];
242 
243  // Call the OneDimensional shape function (for x or y) with quadratic
244  // interpolation
245  OneDimLagrange::shape<3>(s[0], test_values[0]);
246 
247  // Call the OneDimensional shape function. NOTE: The second local
248  // coordinate will always be time for a space-time element!
249  OneDimDiscontinuousGalerkin::shape<3>(s[1], test_values[1]);
250 
251  // Index for the shape functions
252  unsigned index = 0;
253 
254  // Loop over the first local coordinate direction
255  for (unsigned j = 0; j < nnode_1d; j++)
256  {
257  // Loop over the first local coordinate direction
258  for (unsigned i = 0; i < nnode_1d; i++)
259  {
260  // Multiply the two 1D functions together to get the 2D function
261  test[index] = test_values[0][i] * test_values[1][j];
262 
263  // Increment the index
264  index++;
265  }
266  } // for (unsigned j=0;j<nnode_1d;j++)
267  //--------end_of_shape--------------------------------------------------
268 
269  // Return the value of the jacobian
270  return J_eulerian_at_knot(ipt);
271  } // End of shape_and_test_at_knot

References oomph::FiniteElement::dim(), el_dim, i, oomph::FiniteElement::integral_pt(), j, oomph::FaceElement::J_eulerian_at_knot(), oomph::Integral::knot(), oomph::FiniteElement::nnode_1d(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, s, oomph::OneDimLagrange::shape< 3 >(), oomph::OneDimDiscontinuousGalerkin::shape< 3 >(), and oomph::FiniteElement::shape_at_knot().

◆ shape_and_test_at_knot() [3/3]

template<class ELEMENT >
double oomph::NavierStokesSpaceTimeTractionElement< 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

204  {
205  // Calculate the shape functions
206  shape_at_knot(ipt, psi);
207 
208  // The Galerkin method uses the same test functions as shape functions
209  test = psi;
210 
211  // Return the value of the jacobian
212  return J_eulerian_at_knot(ipt);
213  } // End of shape_and_test_at_knot

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

◆ u_local_eqn() [1/3]

template<class ELEMENT >
virtual int oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::u_local_eqn ( const unsigned &  n,
const unsigned &  i 
)
inlineprotectedvirtual

Access function that returns the local equation numbers for velocity components. u_local_eqn(n,i)=local equation number or < 0 if pinned. The default is to asssume that n is the local node number and the i-th velocity component is the i-th unknown stored at the node.

194  {
195  return nodal_local_eqn(n, i);
196  }
oomph::FiniteElement::nodal_local_eqn
int nodal_local_eqn(const unsigned &n, const unsigned &i) const
Definition: elements.h:1432

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

◆ u_local_eqn() [2/3]

template<class ELEMENT >
virtual int oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::u_local_eqn ( const unsigned &  n,
const unsigned &  i 
)
inlineprotectedvirtual

Access function that returns the local equation numbers for velocity components. u_local_eqn(n,i)=local equation number or < 0 if pinned. The default is to asssume that n is the local node number and the i-th velocity component is the i-th unknown stored at the node.

194  {
195  return nodal_local_eqn(n, i);
196  }

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

◆ u_local_eqn() [3/3]

template<class ELEMENT >
virtual int oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::u_local_eqn ( const unsigned &  n,
const unsigned &  i 
)
inlineprotectedvirtual

Access function that returns the local equation numbers for velocity components. u_local_eqn(n,i)=local equation number or < 0 if pinned. The default is to asssume that n is the local node number and the i-th velocity component is the i-th unknown stored at the node.

195  {
196  return nodal_local_eqn(n, i);
197  }

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

◆ zeta_nodal() [1/3]

template<class ELEMENT >
double oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::zeta_nodal ( const unsigned &  n,
const unsigned &  k,
const unsigned &  i 
) const
inlineprotectedvirtual

The "global" intrinsic coordinate of the element when viewed as part of a geometric object should be given by the FaceSpaceTimeElement representation, by default

Reimplemented from oomph::FaceElement.

183  {
184  return FaceElement::zeta_nodal(n, k, i);
185  } // End of zeta_nodal
oomph::FaceElement::zeta_nodal
double zeta_nodal(const unsigned &n, const unsigned &k, const unsigned &i) const
Definition: elements.h:4497
k
char char char int int * k
Definition: level2_impl.h:374

References i, k, n, and oomph::FaceElement::zeta_nodal().

◆ zeta_nodal() [2/3]

template<class ELEMENT >
double oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::zeta_nodal ( const unsigned &  n,
const unsigned &  k,
const unsigned &  i 
) const
inlineprotectedvirtual

The "global" intrinsic coordinate of the element when viewed as part of a geometric object should be given by the FaceSpaceTimeElement representation, by default

Reimplemented from oomph::FaceElement.

183  {
184  return FaceElement::zeta_nodal(n, k, i);
185  } // End of zeta_nodal

References i, k, n, and oomph::FaceElement::zeta_nodal().

◆ zeta_nodal() [3/3]

template<class ELEMENT >
double oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::zeta_nodal ( const unsigned &  n,
const unsigned &  k,
const unsigned &  i 
) const
inlineprotectedvirtual

The "global" intrinsic coordinate of the element when viewed as part of a geometric object should be given by the FaceSpaceTimeElement representation, by default

Reimplemented from oomph::FaceElement.

184  {
185  return FaceElement::zeta_nodal(n, k, i);
186  } // End of zeta_nodal

References i, k, n, and oomph::FaceElement::zeta_nodal().

Member Data Documentation

◆ Dim

template<class ELEMENT >
unsigned oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Dim
protected

The highest dimension of the problem.

Referenced by oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::get_traction(), and oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::NavierStokesSpaceTimeTractionElement().

◆ traction_fct_pt

template<class ELEMENT >
void(*&)(const double& t, const Vector<double>& x, const Vector<double>& n, Vector<double>& result) oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::traction_fct_pt()
inline

Access function for the imposed traction pointer.

129  {
130  // Return the function pointer
131  return Traction_fct_pt;
132  } // End of traction_fct_pt

◆ Traction_fct_pt

template<class ELEMENT >
void(* oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::Traction_fct_pt)(const double &time, const Vector< double > &x, const Vector< double > &n, Vector< double > &result)
private

Pointer to an imposed traction function.

Referenced by oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::get_traction(), and oomph::NavierStokesSpaceTimeTractionElement< ELEMENT >::NavierStokesSpaceTimeTractionElement().

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