Public Member Functions | Protected Member Functions | Protected Attributes | Static Protected Attributes | List of all members
oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT > Class Template Reference

#include <pml_helmholtz_time_harmonic_linear_elasticity_interaction.h>

+ Inheritance diagram for oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >:

Public Member Functions

 TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement (FiniteElement *const &element_pt, const int &face_index)
 
void fill_in_contribution_to_residuals (Vector< double > &residuals)
 Return the residuals. More...
 
void fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
 Fill in contribution from Jacobian. More...
 
const double & q () const
 
double *& q_pt ()
 
void output (std::ostream &outfile)
 Output function. More...
 
void output (std::ostream &outfile, const unsigned &n_plot)
 
void output (FILE *file_pt)
 C_style output function. More...
 
void output (FILE *file_pt, const unsigned &n_plot)
 C-style output function. More...
 
std::complex< double > global_flux_contribution_from_solid ()
 
std::complex< double > global_flux_contribution_from_solid (std::ofstream &outfile)
 
std::complex< double > global_flux_contribution_from_helmholtz ()
 
std::complex< double > global_flux_contribution_from_helmholtz (std::ofstream &outfile)
 
- Public Member Functions inherited from oomph::FaceElement
 FaceElement ()
 Constructor: Initialise all appropriate member data. More...
 
virtual ~FaceElement ()
 Empty virtual destructor. More...
 
 FaceElement (const FaceElement &)=delete
 Broken copy constructor. More...
 
const unsigned & boundary_number_in_bulk_mesh () const
 Broken assignment operator. More...
 
void set_boundary_number_in_bulk_mesh (const unsigned &b)
 Set function for the boundary number in bulk mesh. More...
 
double zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
 
double J_eulerian (const Vector< double > &s) const
 
double J_eulerian_at_knot (const unsigned &ipt) const
 
void check_J_eulerian_at_knots (bool &passed) const
 
double interpolated_x (const Vector< double > &s, const unsigned &i) const
 
double interpolated_x (const unsigned &t, const Vector< double > &s, const unsigned &i) const
 
void interpolated_x (const Vector< double > &s, Vector< double > &x) const
 
void interpolated_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) const
 
double interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t)
 
void interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt)
 
int & normal_sign ()
 
int normal_sign () const
 
int & face_index ()
 
int face_index () const
 
const Vector< double > * tangent_direction_pt () const
 Public access function for the tangent direction pointer. More...
 
void set_tangent_direction (Vector< double > *tangent_direction_pt)
 Set the tangent direction vector. More...
 
void turn_on_warning_for_discontinuous_tangent ()
 
void turn_off_warning_for_discontinuous_tangent ()
 
void continuous_tangent_and_outer_unit_normal (const Vector< double > &s, Vector< Vector< double >> &tang_vec, Vector< double > &unit_normal) const
 
void continuous_tangent_and_outer_unit_normal (const unsigned &ipt, Vector< Vector< double >> &tang_vec, Vector< double > &unit_normal) const
 
void outer_unit_normal (const Vector< double > &s, Vector< double > &unit_normal) const
 Compute outer unit normal at the specified local coordinate. More...
 
void outer_unit_normal (const unsigned &ipt, Vector< double > &unit_normal) const
 Compute outer unit normal at ipt-th integration point. More...
 
FiniteElement *& bulk_element_pt ()
 Pointer to higher-dimensional "bulk" element. More...
 
FiniteElement * bulk_element_pt () const
 Pointer to higher-dimensional "bulk" element (const version) More...
 
CoordinateMappingFctPt & face_to_bulk_coordinate_fct_pt ()
 
CoordinateMappingFctPt face_to_bulk_coordinate_fct_pt () const
 
BulkCoordinateDerivativesFctPt & bulk_coordinate_derivatives_fct_pt ()
 
BulkCoordinateDerivativesFctPt bulk_coordinate_derivatives_fct_pt () const
 
Vector< double > local_coordinate_in_bulk (const Vector< double > &s) const
 
void get_local_coordinate_in_bulk (const Vector< double > &s, Vector< double > &s_bulk) const
 
void get_ds_bulk_ds_face (const Vector< double > &s, DenseMatrix< double > &dsbulk_dsface, unsigned &interior_direction) const
 
unsigned & bulk_position_type (const unsigned &i)
 
const unsigned & bulk_position_type (const unsigned &i) const
 
void bulk_node_number_resize (const unsigned &i)
 Resize the storage for the bulk node numbers. More...
 
unsigned & bulk_node_number (const unsigned &n)
 
const unsigned & bulk_node_number (const unsigned &n) const
 
void bulk_position_type_resize (const unsigned &i)
 Resize the storage for bulk_position_type to i entries. More...
 
unsigned & nbulk_value (const unsigned &n)
 
unsigned nbulk_value (const unsigned &n) const
 
void nbulk_value_resize (const unsigned &i)
 
void resize_nodes (Vector< unsigned > &nadditional_data_values)
 
void output_zeta (std::ostream &outfile, const unsigned &nplot)
 Output boundary coordinate zeta. More...
 
- Public Member Functions inherited from oomph::FiniteElement
void set_dimension (const unsigned &dim)
 
void set_nodal_dimension (const unsigned &nodal_dim)
 
void set_nnodal_position_type (const unsigned &nposition_type)
 Set the number of types required to interpolate the coordinate. More...
 
void set_n_node (const unsigned &n)
 
int nodal_local_eqn (const unsigned &n, const unsigned &i) const
 
double dJ_eulerian_at_knot (const unsigned &ipt, Shape &psi, DenseMatrix< double > &djacobian_dX) const
 
 FiniteElement ()
 Constructor. More...
 
virtual ~FiniteElement ()
 
 FiniteElement (const FiniteElement &)=delete
 Broken copy constructor. More...
 
virtual bool local_coord_is_valid (const Vector< double > &s)
 Broken assignment operator. More...
 
virtual void move_local_coord_back_into_element (Vector< double > &s) const
 
void get_centre_of_gravity_and_max_radius_in_terms_of_zeta (Vector< double > &cog, double &max_radius) const
 
virtual void local_coordinate_of_node (const unsigned &j, Vector< double > &s) const
 
virtual void local_fraction_of_node (const unsigned &j, Vector< double > &s_fraction)
 
virtual double local_one_d_fraction_of_node (const unsigned &n1d, const unsigned &i)
 
virtual void set_macro_elem_pt (MacroElement *macro_elem_pt)
 
MacroElement * macro_elem_pt ()
 Access function to pointer to macro element. More...
 
void get_x (const Vector< double > &s, Vector< double > &x) const
 
void get_x (const unsigned &t, const Vector< double > &s, Vector< double > &x)
 
virtual void get_x_from_macro_element (const Vector< double > &s, Vector< double > &x) const
 
virtual void get_x_from_macro_element (const unsigned &t, const Vector< double > &s, Vector< double > &x)
 
virtual void set_integration_scheme (Integral *const &integral_pt)
 Set the spatial integration scheme. More...
 
Integral *const & integral_pt () const
 Return the pointer to the integration scheme (const version) More...
 
virtual void shape (const Vector< double > &s, Shape &psi) const =0
 
virtual void shape_at_knot (const unsigned &ipt, Shape &psi) const
 
virtual void dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const
 
virtual void dshape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids) const
 
virtual void d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const
 
virtual void d2shape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids, DShape &d2psids) const
 
void check_J_eulerian_at_knots (bool &passed) const
 
void check_jacobian (const double &jacobian) const
 
double dshape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx) const
 
virtual double dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx) const
 
virtual double dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsi, DenseMatrix< double > &djacobian_dX, RankFourTensor< double > &d_dpsidx_dX) const
 
double d2shape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx, DShape &d2psidx) const
 
virtual double d2shape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx, DShape &d2psidx) const
 
virtual void assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt)
 
virtual void describe_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_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 Member Functions inherited from oomph::ElementWithExternalElement
 ElementWithExternalElement ()
 
virtual ~ElementWithExternalElement ()
 The destructor, clean up any allocated memory. More...
 
 ElementWithExternalElement (const ElementWithExternalElement &)=delete
 Broken copy constructor. More...
 
void operator= (const ElementWithExternalElement &)=delete
 Broken assignment operator. More...
 
bool storage_has_been_allocated () const
 Helper function to check if storage has actually been allocated. More...
 
FiniteElement *& external_element_pt (const unsigned &interaction_index, const unsigned &ipt)
 
FiniteElement *const & external_element_pt (const unsigned &interaction_index, const unsigned &ipt) const
 Access function to source element, const version. More...
 
Vector< double > & external_element_local_coord (const unsigned &interaction_index, const unsigned &ipt)
 
Vector< double > const & external_element_local_coord (const unsigned &interaction_index, const unsigned &ipt) const
 Access function to get source element's coords, const version. More...
 
void output_external_elements (std::ostream &outfile, const unsigned &interaction_index)
 
void initialise_external_element_storage ()
 
void flush_all_external_element_storage ()
 Flush the storage for external elements. More...
 
void set_ninteraction (const unsigned &n_interaction)
 
unsigned ninteraction () const
 Return the number of interactions in the element. More...
 
virtual void identify_all_field_data_for_external_interaction (Vector< std::set< FiniteElement * >> const &external_elements_pt, std::set< std::pair< Data *, unsigned >> &paired_interaction_data)
 
virtual void identify_all_geometric_data_for_external_interaction (Vector< std::set< FiniteElement * >> const &external_elements_pt, std::set< Data * > &external_geometric_data_pt)
 
unsigned nexternal_interaction_field_data () const
 
Vector< Data * > external_interaction_field_data_pt () const
 
unsigned nexternal_interaction_geometric_data () const
 
bool add_external_geometric_data ()
 Are we including external geometric data in the element's Jacobian. More...
 
bool add_external_interaction_data ()
 Are we including external data in the element's Jacobian. More...
 
Vector< Data * > external_interaction_geometric_data_pt () const
 
void ignore_external_geometric_data ()
 
void ignore_external_interaction_data ()
 
void include_external_geometric_data ()
 
void include_external_interaction_data ()
 
bool external_geometric_data_is_included () const
 
void describe_local_dofs (std::ostream &out, const std::string &curr_string) const
 

Protected Member Functions

void fill_in_contribution_to_residuals_helmholtz_traction (Vector< double > &residuals)
 Helper function that actually calculates the residuals. 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_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 Member Functions inherited from oomph::ElementWithExternalElement
void assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)
 
void assign_external_interaction_data_local_eqn_numbers (const bool &store_local_dof_pt)
 
void fill_in_jacobian_from_external_interaction_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian)
 
void fill_in_jacobian_from_external_interaction_by_fd (DenseMatrix< double > &jacobian)
 
void fill_in_jacobian_from_external_interaction_field_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian)
 
void fill_in_jacobian_from_external_interaction_field_by_fd (DenseMatrix< double > &jacobian)
 
void fill_in_jacobian_from_external_interaction_geometric_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian)
 
void fill_in_jacobian_from_external_interaction_geometric_by_fd (DenseMatrix< double > &jacobian)
 
virtual void update_before_external_interaction_field_fd ()
 
virtual void reset_after_external_interaction_field_fd ()
 
virtual void update_in_external_interaction_field_fd (const unsigned &i)
 
virtual void reset_in_external_interaction_field_fd (const unsigned &i)
 
virtual void update_before_external_interaction_geometric_fd ()
 
virtual void reset_after_external_interaction_geometric_fd ()
 
virtual void update_in_external_interaction_geometric_fd (const unsigned &i)
 
virtual void reset_in_external_interaction_geometric_fd (const unsigned &i)
 

Protected Attributes

double * Q_pt
 
Vector< std::complex< unsigned > > U_index_time_harmonic_linear_elasticity_helmholtz_traction
 Index at which the i-th displacement component is stored. 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
 
- Protected Attributes inherited from oomph::ElementWithExternalElement
bool Add_external_interaction_data
 Boolean flag to indicate whether to include the external data. More...
 
bool Add_external_geometric_data
 Boolean flag to indicate whether to include the external geometric data. More...
 
Data ** External_interaction_field_data_pt
 
Data ** External_interaction_geometric_data_pt
 

Static Protected Attributes

static double Default_Q_Value = 1.0
 
- 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
 

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
 

Detailed Description

template<class ELASTICITY_BULK_ELEMENT, class HELMHOLTZ_BULK_ELEMENT>
class oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >

A class for elements that allow the imposition of an applied traction in the equations of time-harmonic linear elasticity from a PMLHelmholtz potential (interpreted as a displacement potential for the fluid in a quasi-steady, linearised FSI problem.) The geometrical information can be read from the FaceGeometry<ELEMENT> class and thus, we can be generic enough without the need to have a separate equations class.

Constructor & Destructor Documentation

◆ TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement ( FiniteElement *const &  element_pt,
const int &  face_index 
)
inline

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

78  : FaceGeometry<ELASTICITY_BULK_ELEMENT>(),
79  FaceElement(),
80  Q_pt(&Default_Q_Value)
81  {
82  // Attach the geometrical information to the element. N.B. This function
83  // also assigns nbulk_value from the required_nvalue of the bulk element
84  element_pt->build_face_element(face_index, this);
85 
86 #ifdef PARANOID
87  {
88  // Check that the element is not a refineable 3d element
89  ELASTICITY_BULK_ELEMENT* elem_pt =
90  dynamic_cast<ELASTICITY_BULK_ELEMENT*>(element_pt);
91  // If it's three-d
92  if (elem_pt->dim() == 3)
93  {
94  // Is it refineable
95  RefineableElement* ref_el_pt =
96  dynamic_cast<RefineableElement*>(elem_pt);
97  if (ref_el_pt != 0)
98  {
99  if (this->has_hanging_nodes())
100  {
101  throw OomphLibError("This flux element will not work correctly "
102  "if nodes are hanging\n",
103  OOMPH_CURRENT_FUNCTION,
104  OOMPH_EXCEPTION_LOCATION);
105  }
106  }
107  }
108  }
109 #endif
110 
111  // Set source element storage: one interaction with an external
112  // element -- the PMLHelmholtz bulk element that provides
113  // the pressure
114  this->set_ninteraction(1);
115 
116  // Find the dimension of the problem
117  unsigned n_dim = element_pt->nodal_dimension();
118 
119  // Find the index at which the displacement unknowns are stored
120  ELASTICITY_BULK_ELEMENT* cast_element_pt =
121  dynamic_cast<ELASTICITY_BULK_ELEMENT*>(element_pt);
122  this->U_index_time_harmonic_linear_elasticity_helmholtz_traction.resize(
123  n_dim);
124  for (unsigned i = 0; i < n_dim; i++)
125  {
126  this->U_index_time_harmonic_linear_elasticity_helmholtz_traction[i] =
127  cast_element_pt->u_index_time_harmonic_linear_elasticity(i);
128  }
129  }
i
int i
Definition: BiCGSTAB_step_by_step.cpp:9
oomph::ElementWithExternalElement::set_ninteraction
void set_ninteraction(const unsigned &n_interaction)
Definition: element_with_external_element.h:178
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::has_hanging_nodes
bool has_hanging_nodes() const
Definition: elements.h:2470
oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement::U_index_time_harmonic_linear_elasticity_helmholtz_traction
Vector< std::complex< unsigned > > U_index_time_harmonic_linear_elasticity_helmholtz_traction
Index at which the i-th displacement component is stored.
Definition: pml_helmholtz_time_harmonic_linear_elasticity_interaction.h:64
oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement::Default_Q_Value
static double Default_Q_Value
Definition: pml_helmholtz_time_harmonic_linear_elasticity_interaction.h:60
oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement::Q_pt
double * Q_pt
Definition: pml_helmholtz_time_harmonic_linear_elasticity_interaction.h:56
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::FaceElement::face_index(), oomph::FiniteElement::has_hanging_nodes(), i, oomph::FiniteElement::nodal_dimension(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::ElementWithExternalElement::set_ninteraction(), and oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::U_index_time_harmonic_linear_elasticity_helmholtz_traction.

Member Function Documentation

◆ fill_in_contribution_to_jacobian()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
void oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_jacobian ( Vector< double > &  residuals,
DenseMatrix< double > &  jacobian 
)
inlinevirtual

Fill in contribution from Jacobian.

Reimplemented from oomph::ElementWithExternalElement.

142  {
143  // Call the residuals
144  fill_in_contribution_to_residuals_helmholtz_traction(residuals);
145 
146  // Derivatives w.r.t. external data
147  fill_in_jacobian_from_external_interaction_by_fd(residuals, jacobian);
148  }
oomph::ElementWithExternalElement::fill_in_jacobian_from_external_interaction_by_fd
void fill_in_jacobian_from_external_interaction_by_fd(Vector< double > &residuals, DenseMatrix< double > &jacobian)
Definition: element_with_external_element.h:345
oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement::fill_in_contribution_to_residuals_helmholtz_traction
void fill_in_contribution_to_residuals_helmholtz_traction(Vector< double > &residuals)
Helper function that actually calculates the residuals.
Definition: pml_helmholtz_time_harmonic_linear_elasticity_interaction.h:507

References oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals_helmholtz_traction(), and oomph::ElementWithExternalElement::fill_in_jacobian_from_external_interaction_by_fd().

◆ fill_in_contribution_to_residuals()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
void oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals ( Vector< double > &  residuals)
inlinevirtual

Return the residuals.

Reimplemented from oomph::GeneralisedElement.

134  {
135  fill_in_contribution_to_residuals_helmholtz_traction(residuals);
136  }

References oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals_helmholtz_traction().

◆ fill_in_contribution_to_residuals_helmholtz_traction()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
void oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals_helmholtz_traction ( Vector< double > &  residuals)
protected

Helper function that actually calculates the residuals.

Return the residuals.

509  {
510  // Find out how many nodes there are
511  unsigned n_node = nnode();
512 
513 #ifdef PARANOID
514  // Find out how many positional dofs there are
515  unsigned n_position_type = this->nnodal_position_type();
516  if (n_position_type != 1)
517  {
518  throw OomphLibError("LinearElasticity is not yet implemented for more "
519  "than one position type.",
520  OOMPH_CURRENT_FUNCTION,
521  OOMPH_EXCEPTION_LOCATION);
522  }
523 #endif
524 
525  // Find out the dimension of the node
526  const unsigned n_dim = this->nodal_dimension();
527 
528  // Cache the nodal indices at which the displacement components are stored
529  std::complex<unsigned> u_nodal_index[n_dim];
530  for (unsigned i = 0; i < n_dim; i++)
531  {
532  u_nodal_index[i] =
533  this->U_index_time_harmonic_linear_elasticity_helmholtz_traction[i];
534  }
535 
536  // Integer to hold the local equation number
537  int local_eqn = 0;
538 
539  // Set up memory for the shape functions
540  Shape psi(n_node);
541  DShape dpsids(n_node, n_dim - 1);
542 
543  // Get FSI parameter
544  const double q_value = q();
545 
546  // Storage for traction
547  Vector<std::complex<double>> traction(2);
548 
549  // Set the value of n_intpt
550  unsigned n_intpt = integral_pt()->nweight();
551 
552  // Loop over the integration points
553  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
554  {
555  // Get the integral weight
556  double w = integral_pt()->weight(ipt);
557 
558  // Only need to call the local derivatives
559  dshape_local_at_knot(ipt, psi, dpsids);
560 
561  // Calculate the coordinates
562  Vector<double> interpolated_x(n_dim, 0.0);
563 
564  // Also calculate the surface tangent vectors
565  DenseMatrix<double> interpolated_A(n_dim - 1, n_dim, 0.0);
566 
567  // Calculate displacements and derivatives
568  for (unsigned l = 0; l < n_node; l++)
569  {
570  // Loop over directions
571  for (unsigned i = 0; i < n_dim; i++)
572  {
573  // Calculate the Eulerian coords
574  const double x_local = nodal_position(l, i);
575  interpolated_x[i] += x_local * psi(l);
576 
577  // Loop over LOCAL derivative directions, to calculate the tangent(s)
578  for (unsigned j = 0; j < n_dim - 1; j++)
579  {
580  interpolated_A(j, i) += x_local * dpsids(l, j);
581  }
582  }
583  }
584 
585  // Now find the local metric tensor from the tangent Vectors
586  DenseMatrix<double> A(n_dim - 1);
587  for (unsigned i = 0; i < n_dim - 1; i++)
588  {
589  for (unsigned j = 0; j < n_dim - 1; j++)
590  {
591  // Initialise surface metric tensor to zero
592  A(i, j) = 0.0;
593 
594  // Take the dot product
595  for (unsigned k = 0; k < n_dim; k++)
596  {
597  A(i, j) += interpolated_A(i, k) * interpolated_A(j, k);
598  }
599  }
600  }
601 
602  // Get the outer unit normal
603  Vector<double> interpolated_normal(n_dim);
604  outer_unit_normal(ipt, interpolated_normal);
605 
606  // Find the determinant of the metric tensor
607  double Adet = 0.0;
608  switch (n_dim)
609  {
610  case 2:
611  Adet = A(0, 0);
612  break;
613  case 3:
614  Adet = A(0, 0) * A(1, 1) - A(0, 1) * A(1, 0);
615  break;
616  default:
617  throw OomphLibError(
618  "Wrong dimension in TimeHarmonicLinElastLoadedByPressureElement",
619  OOMPH_CURRENT_FUNCTION,
620  OOMPH_EXCEPTION_LOCATION);
621  }
622 
623  // Premultiply the weights and the square-root of the determinant of
624  // the metric tensor
625  double W = w * sqrt(Adet);
626 
627  // Get bulk element for potential
628  HELMHOLTZ_BULK_ELEMENT* ext_el_pt =
629  dynamic_cast<HELMHOLTZ_BULK_ELEMENT*>(external_element_pt(0, ipt));
630  Vector<double> s_ext(external_element_local_coord(0, ipt));
631 
632  // Traction: Pressure is proportional to POSITIVE potential
633  std::complex<double> u_helmholtz =
634  ext_el_pt->interpolated_u_pml_helmholtz(s_ext);
635  traction[0] = -q_value * interpolated_normal[0] * u_helmholtz;
636  traction[1] = -q_value * interpolated_normal[1] * u_helmholtz;
637 
638  // Loop over the test functions, nodes of the element
639  for (unsigned l = 0; l < n_node; l++)
640  {
641  // Loop over the displacement components
642  for (unsigned i = 0; i < n_dim; i++)
643  {
644  local_eqn = this->nodal_local_eqn(l, u_nodal_index[i].real());
645  /*IF it's not a boundary condition*/
646  if (local_eqn >= 0)
647  {
648  // Add the loading terms to the residuals
649  residuals[local_eqn] -= traction[i].real() * psi(l) * W;
650  }
651 
652  local_eqn = this->nodal_local_eqn(l, u_nodal_index[i].imag());
653  /*IF it's not a boundary condition*/
654  if (local_eqn >= 0)
655  {
656  // Add the loading terms to the residuals
657  residuals[local_eqn] -= traction[i].imag() * psi(l) * W;
658  }
659 
660  } // End of if not boundary condition
661  } // End of loop over shape functions
662  } // End of loop over integration points
663  }
imag
AnnoyingScalar imag(const AnnoyingScalar &)
Definition: AnnoyingScalar.h:132
sqrt
AnnoyingScalar sqrt(const AnnoyingScalar &x)
Definition: AnnoyingScalar.h:134
w
RowVector3d w
Definition: Matrix_resize_int.cpp:3
A
Matrix< SCALARA, Dynamic, Dynamic, opt_A > A
Definition: bench_gemm.cpp:47
oomph::ElementWithExternalElement::external_element_local_coord
Vector< double > & external_element_local_coord(const unsigned &interaction_index, const unsigned &ipt)
Definition: element_with_external_element.h:136
oomph::ElementWithExternalElement::external_element_pt
FiniteElement *& external_element_pt(const unsigned &interaction_index, const unsigned &ipt)
Definition: element_with_external_element.h:107
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::nnodal_position_type
unsigned nnodal_position_type() const
Definition: elements.h:2463
oomph::FiniteElement::dshape_local_at_knot
virtual void dshape_local_at_knot(const unsigned &ipt, Shape &psi, DShape &dpsids) const
Definition: elements.cc:3239
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::FiniteElement::nodal_dimension
unsigned nodal_dimension() const
Return the required Eulerian dimension of the nodes in this element.
Definition: elements.h:2484
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::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement::q
const double & q() const
Definition: pml_helmholtz_time_harmonic_linear_elasticity_interaction.h:155
real
float real
Definition: datatypes.h:10
k
char char char int int * k
Definition: level2_impl.h:374
oomph::QuadTreeNames::W
@ W
Definition: quadtree.h:63
j
std::ptrdiff_t j
Definition: tut_arithmetic_redux_minmax.cpp:2

References i, imag(), j, k, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, Eigen::numext::q, sqrt(), w, and oomph::QuadTreeNames::W.

Referenced by oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_jacobian(), and oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals().

◆ global_flux_contribution_from_helmholtz() [1/2]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
std::complex<double> oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::global_flux_contribution_from_helmholtz ( )
inline

Compute the global_flux_contribution through the helmholtz elements : we compute dphidn.n

348  {
349  // Dummy output file
350  std::ofstream outfile;
351  return global_flux_contribution_from_helmholtz(outfile);
352  }
oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement::global_flux_contribution_from_helmholtz
std::complex< double > global_flux_contribution_from_helmholtz()
Definition: pml_helmholtz_time_harmonic_linear_elasticity_interaction.h:347

◆ global_flux_contribution_from_helmholtz() [2/2]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
std::complex<double> oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::global_flux_contribution_from_helmholtz ( std::ofstream &  outfile)
inline

Compute the element's contribution to the integral of the flux over the artificial boundary. Also output the flux in the specified output file if it's open.

359  {
360  // Get the dim of this element
361  const unsigned local_dim = this->dim();
362 
363  // Set the value of n_intpt
364  const unsigned n_intpt = integral_pt()->nweight();
365 
366  // Set the Vector to hold local coordinates
367  Vector<double> s(local_dim);
368  std::complex<double> flux(0.0, 0.0);
369 
370  // Output?
371  if (outfile.is_open())
372  {
373  outfile << "ZONE\n";
374  }
375 
376  // Loop over the integration points
377  //--------------------------------
378  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
379  {
380  // Assign values of s
381  for (unsigned i = 0; i < local_dim; i++)
382  {
383  s[i] = integral_pt()->knot(ipt, i);
384  }
385 
386  // Get local coordinates in bulk element by copy construction
387  Vector<double> s_bulk(local_coordinate_in_bulk(s));
388 
389  // Get external element for potential
390  HELMHOLTZ_BULK_ELEMENT* ext_el_pt =
391  dynamic_cast<HELMHOLTZ_BULK_ELEMENT*>(external_element_pt(0, ipt));
392 
393  // number of nodes in ext element
394  unsigned nnode_ext = ext_el_pt->nnode();
395 
396  // get the dim of the external nodes
397  const unsigned ext_dim = ext_el_pt->dim();
398 
399  // Set up memory for the external shape function
400  Shape psi_ext(nnode_ext);
401  DShape dpsi_ext_dx(nnode_ext, ext_dim);
402 
403  // Call the derivatives of the shape functions
404  // in the external element -- must do this via s because this point
405  // is not an integration point the bulk element!
406  (void)ext_el_pt->dshape_eulerian(s_bulk, psi_ext, dpsi_ext_dx);
407 
408  // Set up memory for the outer unit normal
409  Vector<double> unit_normal(ext_dim);
410 
411  // get the outer_unit_ext vector
412  this->outer_unit_normal(s, unit_normal);
413 
414  // Get the integral weight
415  double w = integral_pt()->weight(ipt);
416 
417  // Get jacobian of mapping
418  double J = J_eulerian(s);
419 
420  // Premultiply the weights and the Jacobian
421  double W = w * J;
422 
423  // Global gradient
424  Vector<std::complex<double>> interpolated_dphidx(
425  ext_dim, std::complex<double>(0.0, 0.0));
426  for (unsigned l = 0; l < nnode_ext; l++)
427  {
428  // Get the nodal value of the helmholtz unknown
429  const std::complex<double> phi_value(
430  ext_el_pt->nodal_value(l, ext_el_pt->u_index_helmholtz().real()),
431  ext_el_pt->nodal_value(l, ext_el_pt->u_index_helmholtz().imag()));
432 
433  // Loop over directions
434  for (unsigned i = 0; i < ext_dim; i++)
435  {
436  interpolated_dphidx[i] += phi_value * dpsi_ext_dx(l, i);
437  }
438  }
439 
440  // define dphi_dn
441  std::complex<double> dphi_dn(0.0, 0.0);
442  for (unsigned i = 0; i < ext_dim; i++)
443  {
444  dphi_dn += interpolated_dphidx[i] * unit_normal[i];
445  }
446 
447 
448 #ifdef PARANOID
449  double max_permitted_discrepancy = 1.0e-10;
450  double diff = sqrt(
451  pow(ext_el_pt->interpolated_x(s_bulk, 0) - interpolated_x(s, 0), 2) +
452  pow(ext_el_pt->interpolated_x(s_bulk, 1) - interpolated_x(s, 1), 2));
453  if (diff > max_permitted_discrepancy)
454  {
455  std::ostringstream error_stream;
456  error_stream
457  << "Position computed by external el and face element differ by "
458  << diff << " which is more than the acceptable tolerance "
459  << max_permitted_discrepancy << std::endl;
460  throw OomphLibError(error_stream.str(),
461  OOMPH_CURRENT_FUNCTION,
462  OOMPH_EXCEPTION_LOCATION);
463  }
464 #endif
465 
466  // Output?
467  if (outfile.is_open())
468  {
469  Vector<double> x(ext_dim);
470  interpolated_x(s, x);
471  outfile << x[0] << " " << x[1] << " " << dphi_dn.real() << " "
472  << dphi_dn.imag() << " "
473  << "\n";
474  }
475 
476  // ...add to integral
477  flux += dphi_dn * W;
478  }
479 
480  return flux;
481  }
J
JacobiRotation< float > J
Definition: Jacobi_makeJacobi.cpp:3
oomph::FaceElement::local_coordinate_in_bulk
Vector< double > local_coordinate_in_bulk(const Vector< double > &s) const
Definition: elements.cc:6353
oomph::FaceElement::J_eulerian
double J_eulerian(const Vector< double > &s) const
Definition: elements.cc:5242
oomph::FiniteElement::dim
unsigned dim() const
Definition: elements.h:2611
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
Eigen::bfloat16_impl::pow
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC bfloat16 pow(const bfloat16 &a, const bfloat16 &b)
Definition: BFloat16.h:625
ProblemParameters::flux
void flux(const double &time, const Vector< double > &x, double &flux)
Get flux applied along boundary x=0.
Definition: pretend_melt.cc:59
plotDoE.x
list x
Definition: plotDoE.py:28

References oomph::FiniteElement::dim(), oomph::ElementWithExternalElement::external_element_pt(), ProblemParameters::flux(), i, oomph::FiniteElement::integral_pt(), oomph::FaceElement::interpolated_x(), J, oomph::FaceElement::J_eulerian(), oomph::Integral::knot(), oomph::FaceElement::local_coordinate_in_bulk(), oomph::Integral::nweight(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::FaceElement::outer_unit_normal(), Eigen::bfloat16_impl::pow(), s, sqrt(), w, oomph::QuadTreeNames::W, oomph::Integral::weight(), and plotDoE::x.

◆ global_flux_contribution_from_solid() [1/2]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
std::complex<double> oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::global_flux_contribution_from_solid ( )
inline

Compute the global_flux_contribution through the template elasticity elements : we compute u.n

257  {
258  // Dummy output file
259  std::ofstream outfile;
260  return global_flux_contribution_from_solid(outfile);
261  }
oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement::global_flux_contribution_from_solid
std::complex< double > global_flux_contribution_from_solid()
Definition: pml_helmholtz_time_harmonic_linear_elasticity_interaction.h:256

◆ global_flux_contribution_from_solid() [2/2]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
std::complex<double> oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::global_flux_contribution_from_solid ( std::ofstream &  outfile)
inline

Compute the element's contribution to the integral of the flux over the artificial boundary. Also output the flux in the specified output file if it's open.

268  {
269  // pointer to the corresponding elasticity bulk element
270  ELASTICITY_BULK_ELEMENT* bulk_elem_pt =
271  dynamic_cast<ELASTICITY_BULK_ELEMENT*>(this->bulk_element_pt());
272 
273  // get the dim of the bulk and local nodes
274  const unsigned bulk_dim = bulk_elem_pt->dim();
275  const unsigned local_dim = this->dim();
276 
277  // Set up memory for the outer unit normal
278  Vector<double> unit_normal(bulk_dim);
279 
280  // Set the value of n_intpt
281  const unsigned n_intpt = integral_pt()->nweight();
282 
283  // Set the Vector to hold local coordinates
284  Vector<double> s(local_dim);
285  std::complex<double> flux(0.0, 0.0);
286  Vector<std::complex<double>> u(bulk_dim);
287 
288  // Output?
289  if (outfile.is_open())
290  {
291  outfile << "ZONE\n";
292  }
293 
294  // Loop over the integration points
295  //--------------------------------
296  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
297  {
298  // Assign values of s
299  for (unsigned i = 0; i < local_dim; i++)
300  {
301  s[i] = integral_pt()->knot(ipt, i);
302  }
303  // get the outer_unit_ext vector
304  this->outer_unit_normal(s, unit_normal);
305 
306  // Get the integral weight
307  double w = integral_pt()->weight(ipt);
308 
309  // Get jacobian of mapping
310  double J = J_eulerian(s);
311 
312  // Premultiply the weights and the Jacobian
313  double W = w * J;
314 
315  // Get local coordinates in bulk element by copy construction
316  Vector<double> s_bulk(local_coordinate_in_bulk(s));
317 
318  // Get the displacement from the bulk element
319  bulk_elem_pt->interpolated_u_time_harmonic_linear_elasticity(s_bulk, u);
320 
321  // Compute normal displacement u.n
322  std::complex<double> u_dot_n(0.0, 0.0);
323  for (unsigned i = 0; i < bulk_dim; i++)
324  {
325  u_dot_n += u[i] * unit_normal[i];
326  }
327 
328  // Output?
329  if (outfile.is_open())
330  {
331  Vector<double> x(bulk_dim);
332  interpolated_x(s, x);
333  outfile << x[0] << " " << x[1] << " " << u_dot_n.real() << " "
334  << u_dot_n.imag() << "\n";
335  }
336 
337  // ...add to integral
338  flux += u_dot_n * W;
339  }
340 
341  return flux;
342  }
oomph::FaceElement::bulk_element_pt
FiniteElement *& bulk_element_pt()
Pointer to higher-dimensional "bulk" element.
Definition: elements.h:4735

References oomph::FaceElement::bulk_element_pt(), oomph::FiniteElement::dim(), ProblemParameters::flux(), i, oomph::FiniteElement::integral_pt(), oomph::FaceElement::interpolated_x(), J, oomph::FaceElement::J_eulerian(), oomph::Integral::knot(), oomph::FaceElement::local_coordinate_in_bulk(), oomph::Integral::nweight(), oomph::FaceElement::outer_unit_normal(), s, w, oomph::QuadTreeNames::W, oomph::Integral::weight(), and plotDoE::x.

◆ output() [1/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
void oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output ( FILE *  file_pt)
inlinevirtual

C_style output function.

Reimplemented from oomph::FiniteElement.

244  {
245  FaceGeometry<ELASTICITY_BULK_ELEMENT>::output(file_pt);
246  }
output
void output(std::ostream &outfile, const unsigned &nplot)
Overload output function.
Definition: overloaded_element_body.h:490

References output().

◆ output() [2/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
void oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output ( FILE *  file_pt,
const unsigned &  n_plot 
)
inlinevirtual

C-style output function.

Reimplemented from oomph::FiniteElement.

250  {
251  FaceGeometry<ELASTICITY_BULK_ELEMENT>::output(file_pt, n_plot);
252  }

References output().

◆ output() [3/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
void oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output ( std::ostream &  outfile)
inlinevirtual

Output function.

Dummy

Reimplemented from oomph::FiniteElement.

170  {
172  unsigned nplot = 0;
173  output(outfile, nplot);
174  }
oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement::output
void output(std::ostream &outfile)
Output function.
Definition: pml_helmholtz_time_harmonic_linear_elasticity_interaction.h:169

◆ output() [4/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
void oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output ( std::ostream &  outfile,
const unsigned &  n_plot 
)
inlinevirtual

Output function: Plot traction etc at Gauss points nplot is ignored.

Reimplemented from oomph::FiniteElement.

179  {
180  // Dimension
181  unsigned n_dim = this->nodal_dimension();
182 
183  // Storage for traction
184  Vector<std::complex<double>> traction(n_dim);
185 
186  // Get FSI parameter
187  const double q_value = q();
188 
189  outfile << "ZONE\n";
190 
191  // Set the value of n_intpt
192  unsigned n_intpt = integral_pt()->nweight();
193 
194  // Loop over the integration points
195  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
196  {
197  Vector<double> s_int(n_dim - 1);
198  for (unsigned i = 0; i < n_dim - 1; i++)
199  {
200  s_int[i] = integral_pt()->knot(ipt, i);
201  }
202 
203  // Get the outer unit normal
204  Vector<double> interpolated_normal(n_dim);
205  outer_unit_normal(ipt, interpolated_normal);
206 
207  // Boundary coordinate
208  Vector<double> zeta(1);
209  interpolated_zeta(s_int, zeta);
210 
211  // Get external element for potential
212  HELMHOLTZ_BULK_ELEMENT* ext_el_pt =
213  dynamic_cast<HELMHOLTZ_BULK_ELEMENT*>(external_element_pt(0, ipt));
214  Vector<double> s_ext(external_element_local_coord(0, ipt));
215  std::complex<double> u_helmholtz =
216  ext_el_pt->interpolated_u_pml_helmholtz(s_ext);
217 
218  // Traction: Pressure is proportional to POSITIVE potential
219  ext_el_pt->interpolated_u_pml_helmholtz(s_ext);
220  traction[0] = -q_value * interpolated_normal[0] * u_helmholtz;
221  traction[1] = -q_value * interpolated_normal[1] * u_helmholtz;
222 
223  outfile << ext_el_pt->interpolated_x(s_ext, 0) << " "
224  << ext_el_pt->interpolated_x(s_ext, 1) << " "
225  << traction[0].real() << " " << traction[1].real() << " "
226  << traction[0].imag() << " " << traction[1].imag() << " "
227  << interpolated_normal[0] << " " << interpolated_normal[1]
228  << " " << u_helmholtz.real() << " " << u_helmholtz.imag() << " "
229  << interpolated_x(s_int, 0) << " " << interpolated_x(s_int, 1)
230  << " "
231  << sqrt(pow(ext_el_pt->interpolated_x(s_ext, 0) -
232  interpolated_x(s_int, 0),
233  2) +
234  pow(ext_el_pt->interpolated_x(s_ext, 1) -
235  interpolated_x(s_int, 1),
236  2))
237  << " " << zeta[0] << std::endl;
238  }
239  }
oomph::FiniteElement::interpolated_zeta
void interpolated_zeta(const Vector< double > &s, Vector< double > &zeta) const
Definition: elements.cc:4675
Eigen::zeta
EIGEN_STRONG_INLINE const Eigen::CwiseBinaryOp< Eigen::internal::scalar_zeta_op< typename DerivedX::Scalar >, const DerivedX, const DerivedQ > zeta(const Eigen::ArrayBase< DerivedX > &x, const Eigen::ArrayBase< DerivedQ > &q)
Definition: SpecialFunctionsArrayAPI.h:152

References oomph::ElementWithExternalElement::external_element_local_coord(), oomph::ElementWithExternalElement::external_element_pt(), i, oomph::FiniteElement::integral_pt(), oomph::FaceElement::interpolated_x(), oomph::FiniteElement::interpolated_zeta(), oomph::Integral::knot(), oomph::FiniteElement::nodal_dimension(), oomph::Integral::nweight(), oomph::FaceElement::outer_unit_normal(), Eigen::bfloat16_impl::pow(), oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q(), sqrt(), and Eigen::zeta().

◆ q()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
const double& oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q ( ) const
inline

Return the ratio of the stress scales used to non-dimensionalise the fluid and elasticity equations. E.g. \( Q = (\omega a)^2 \rho/E \), i.e. the ratio between the inertial fluid stress and the solid's elastic modulus E.

156  {
157  return *Q_pt;
158  }

References oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::Q_pt.

Referenced by oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output().

◆ q_pt()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
double*& oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q_pt ( )
inline

Return a pointer the ratio of stress scales used to non-dimensionalise the fluid and solid equations.

163  {
164  return Q_pt;
165  }

References oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::Q_pt.

Member Data Documentation

◆ Default_Q_Value

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
double oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::Default_Q_Value = 1.0
staticprotected

Static default value for the ratio of stress scales used in the fluid and solid equations (default is 1.0)

//////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// Static default value for the ragoogletio of stress scales used in the fluid and solid equations (default is 1.0)

◆ Q_pt

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
double* oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::Q_pt
protected

Pointer to the ratio, \( Q \) , of the stress used to non-dimensionalise the fluid stresses to the stress used to non-dimensionalise the solid stresses.

Referenced by oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q(), and oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q_pt().

◆ U_index_time_harmonic_linear_elasticity_helmholtz_traction

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
Vector<std::complex<unsigned> > oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::U_index_time_harmonic_linear_elasticity_helmholtz_traction
protected

Index at which the i-th displacement component is stored.

Referenced by oomph::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::TimeHarmonicLinElastLoadedByPMLHelmholtzPressureBCElement().

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