oomph::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT > Class Template Reference

#include <helmholtz_time_harmonic_linear_elasticity_interaction.h>

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

Public Member Functions

 TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement (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 doubleq () 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...
 
- 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 unsignedboundary_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)
 
intnormal_sign ()
 
int normal_sign () const
 
intface_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...
 
FiniteElementbulk_element_pt () const
 Pointer to higher-dimensional "bulk" element (const version) More...
 
CoordinateMappingFctPtface_to_bulk_coordinate_fct_pt ()
 
CoordinateMappingFctPt face_to_bulk_coordinate_fct_pt () const
 
BulkCoordinateDerivativesFctPtbulk_coordinate_derivatives_fct_pt ()
 
BulkCoordinateDerivativesFctPt bulk_coordinate_derivatives_fct_pt () const
 
Vector< doublelocal_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
 
unsignedbulk_position_type (const unsigned &i)
 
const unsignedbulk_position_type (const unsigned &i) const
 
void bulk_node_number_resize (const unsigned &i)
 Resize the storage for the bulk node numbers. More...
 
unsignedbulk_node_number (const unsigned &n)
 
const unsignedbulk_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...
 
unsignednbulk_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)
 
MacroElementmacro_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 Nodevertex_node_pt (const unsigned &j) const
 
virtual Nodeconstruct_node (const unsigned &n)
 
virtual Nodeconstruct_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
 
virtual Nodeconstruct_boundary_node (const unsigned &n)
 
virtual Nodeconstruct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
 
int get_node_number (Node *const &node_pt) const
 
virtual Nodeget_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
 
Datageom_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 ()
 
TimeSteppertime_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

doubleQ_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...
 
FiniteElementBulk_element_pt
 Pointer to the associated higher-dimensional "bulk" element. More...
 
Vector< unsignedBulk_node_number
 
Vector< unsignedNbulk_value
 
Vector< double > * Tangent_direction_pt
 
- Protected Attributes inherited from oomph::FiniteElement
MacroElementMacro_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...
 
TimeStepperGeom_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< doubleDummy_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::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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 Helmholtz 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 and thus, we can be generic enough without the need to have a separate equations class.

Constructor & Destructor Documentation

◆ TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement()

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

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

76  : FaceGeometry<ELASTICITY_BULK_ELEMENT>(),
77  FaceElement(),
79  {
80  // Attach the geometrical information to the element. N.B. This function
81  // also assigns nbulk_value from the required_nvalue of the bulk element
82  element_pt->build_face_element(face_index, this);
83 
84 #ifdef PARANOID
85  {
86  // Check that the element is not a refineable 3d element
87  ELASTICITY_BULK_ELEMENT* elem_pt =
88  dynamic_cast<ELASTICITY_BULK_ELEMENT*>(element_pt);
89  // If it's three-d
90  if (elem_pt->dim() == 3)
91  {
92  // Is it refineable
93  RefineableElement* ref_el_pt =
94  dynamic_cast<RefineableElement*>(elem_pt);
95  if (ref_el_pt != 0)
96  {
97  if (this->has_hanging_nodes())
98  {
99  throw OomphLibError("This flux element will not work correctly "
100  "if nodes are hanging\n",
103  }
104  }
105  }
106  }
107 #endif
108 
109  // Set source element storage: one interaction with an external
110  // element -- the Helmholtz bulk element that provides the pressure
111  this->set_ninteraction(1);
112 
113  // Find the dimension of the problem
114  unsigned n_dim = element_pt->nodal_dimension();
115 
116  // Find the index at which the displacement unknowns are stored
117  ELASTICITY_BULK_ELEMENT* cast_element_pt =
118  dynamic_cast<ELASTICITY_BULK_ELEMENT*>(element_pt);
120  n_dim);
121  for (unsigned i = 0; i < n_dim; i++)
122  {
124  cast_element_pt->u_index_time_harmonic_linear_elasticity(i);
125  }
126  }
int i
Definition: BiCGSTAB_step_by_step.cpp:9
void set_ninteraction(const unsigned &n_interaction)
Definition: element_with_external_element.h:178
int & face_index()
Definition: elements.h:4626
FaceElement()
Constructor: Initialise all appropriate member data.
Definition: elements.h:4446
bool has_hanging_nodes() const
Definition: elements.h:2470
Vector< std::complex< unsigned > > U_index_time_harmonic_linear_elasticity_helmholtz_traction
Index at which the i-th displacement component is stored.
Definition: helmholtz_time_harmonic_linear_elasticity_interaction.h:62
static double Default_Q_Value
Definition: helmholtz_time_harmonic_linear_elasticity_interaction.h:58
double * Q_pt
Definition: helmholtz_time_harmonic_linear_elasticity_interaction.h:54
#define OOMPH_EXCEPTION_LOCATION
Definition: oomph_definitions.h:61
#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::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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.

139  {
140  // Call the residuals
142 
143  // Derivatives w.r.t. external data
145  }
void fill_in_jacobian_from_external_interaction_by_fd(Vector< double > &residuals, DenseMatrix< double > &jacobian)
Definition: element_with_external_element.h:345
void fill_in_contribution_to_residuals_helmholtz_traction(Vector< double > &residuals)
Helper function that actually calculates the residuals.
Definition: helmholtz_time_harmonic_linear_elasticity_interaction.h:274

References oomph::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals ( Vector< double > &  residuals)
inlinevirtual

◆ fill_in_contribution_to_residuals_helmholtz_traction()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
void oomph::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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.

276  {
277  // Find out how many nodes there are
278  unsigned n_node = nnode();
279 
280 #ifdef PARANOID
281  // Find out how many positional dofs there are
282  unsigned n_position_type = this->nnodal_position_type();
283  if (n_position_type != 1)
284  {
285  throw OomphLibError("LinearElasticity is not yet implemented for more "
286  "than one position type.",
289  }
290 #endif
291 
292  // Find out the dimension of the node
293  const unsigned n_dim = this->nodal_dimension();
294 
295  // Cache the nodal indices at which the displacement components are stored
296  std::vector<std::complex<unsigned>> u_nodal_index(n_dim);
297  for (unsigned i = 0; i < n_dim; i++)
298  {
299  u_nodal_index[i] =
301  }
302 
303  // Integer to hold the local equation number
304  int local_eqn = 0;
305 
306  // Set up memory for the shape functions
307  Shape psi(n_node);
308  DShape dpsids(n_node, n_dim - 1);
309 
310  // Get FSI parameter
311  const double q_value = q();
312 
313  // Storage for traction
314  Vector<std::complex<double>> traction(2);
315 
316  // Set the value of n_intpt
317  unsigned n_intpt = integral_pt()->nweight();
318 
319  // Loop over the integration points
320  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
321  {
322  // Get the integral weight
323  double w = integral_pt()->weight(ipt);
324 
325  // Only need to call the local derivatives
326  dshape_local_at_knot(ipt, psi, dpsids);
327 
328  // Calculate the coordinates
329  Vector<double> interpolated_x(n_dim, 0.0);
330 
331  // Also calculate the surface tangent vectors
332  DenseMatrix<double> interpolated_A(n_dim - 1, n_dim, 0.0);
333 
334  // Calculate displacements and derivatives
335  for (unsigned l = 0; l < n_node; l++)
336  {
337  // Loop over directions
338  for (unsigned i = 0; i < n_dim; i++)
339  {
340  // Calculate the Eulerian coords
341  const double x_local = nodal_position(l, i);
342  interpolated_x[i] += x_local * psi(l);
343 
344  // Loop over LOCAL derivative directions, to calculate the tangent(s)
345  for (unsigned j = 0; j < n_dim - 1; j++)
346  {
347  interpolated_A(j, i) += x_local * dpsids(l, j);
348  }
349  }
350  }
351 
352  // Now find the local metric tensor from the tangent Vectors
353  DenseMatrix<double> A(n_dim - 1);
354  for (unsigned i = 0; i < n_dim - 1; i++)
355  {
356  for (unsigned j = 0; j < n_dim - 1; j++)
357  {
358  // Initialise surface metric tensor to zero
359  A(i, j) = 0.0;
360 
361  // Take the dot product
362  for (unsigned k = 0; k < n_dim; k++)
363  {
364  A(i, j) += interpolated_A(i, k) * interpolated_A(j, k);
365  }
366  }
367  }
368 
369  // Get the outer unit normal
370  Vector<double> interpolated_normal(n_dim);
371  outer_unit_normal(ipt, interpolated_normal);
372 
373  // Find the determinant of the metric tensor
374  double Adet = 0.0;
375  switch (n_dim)
376  {
377  case 2:
378  Adet = A(0, 0);
379  break;
380  case 3:
381  Adet = A(0, 0) * A(1, 1) - A(0, 1) * A(1, 0);
382  break;
383  default:
384  throw OomphLibError(
385  "Wrong dimension in TimeHarmonicLinElastLoadedByPressureElement",
386  "TimeHarmonicLinElastLoadedByPressureElement::fill_in_contribution_"
387  "to_residuals()",
389  }
390 
391  // Premultiply the weights and the square-root of the determinant of
392  // the metric tensor
393  double W = w * sqrt(Adet);
394 
395  // Get bulk element for potential
396  HELMHOLTZ_BULK_ELEMENT* ext_el_pt =
397  dynamic_cast<HELMHOLTZ_BULK_ELEMENT*>(external_element_pt(0, ipt));
398  Vector<double> s_ext(external_element_local_coord(0, ipt));
399 
400  // Traction: Pressure is proportional to POSITIVE potential
401  std::complex<double> u_helmholtz =
402  ext_el_pt->interpolated_u_helmholtz(s_ext);
403  traction[0] = -q_value * interpolated_normal[0] * u_helmholtz;
404  traction[1] = -q_value * interpolated_normal[1] * u_helmholtz;
405 
406  // Loop over the test functions, nodes of the element
407  for (unsigned l = 0; l < n_node; l++)
408  {
409  // Loop over the displacement components
410  for (unsigned i = 0; i < n_dim; i++)
411  {
412  local_eqn = this->nodal_local_eqn(l, u_nodal_index[i].real());
413  /*IF it's not a boundary condition*/
414  if (local_eqn >= 0)
415  {
416  // Add the loading terms to the residuals
417  residuals[local_eqn] -= traction[i].real() * psi(l) * W;
418  }
419 
420  local_eqn = this->nodal_local_eqn(l, u_nodal_index[i].imag());
421  /*IF it's not a boundary condition*/
422  if (local_eqn >= 0)
423  {
424  // Add the loading terms to the residuals
425  residuals[local_eqn] -= traction[i].imag() * psi(l) * W;
426  }
427 
428  } // End of if not boundary condition
429  } // End of loop over shape functions
430  } // End of loop over integration points
431  }
AnnoyingScalar imag(const AnnoyingScalar &)
Definition: AnnoyingScalar.h:132
AnnoyingScalar sqrt(const AnnoyingScalar &x)
Definition: AnnoyingScalar.h:134
RowVector3d w
Definition: Matrix_resize_int.cpp:3
Matrix< SCALARA, Dynamic, Dynamic, opt_A > A
Definition: bench_gemm.cpp:47
Vector< double > & external_element_local_coord(const unsigned &interaction_index, const unsigned &ipt)
Definition: element_with_external_element.h:136
FiniteElement *& external_element_pt(const unsigned &interaction_index, const unsigned &ipt)
Definition: element_with_external_element.h:107
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
double interpolated_x(const Vector< double > &s, const unsigned &i) const
Definition: elements.h:4528
unsigned nnodal_position_type() const
Definition: elements.h:2463
virtual void dshape_local_at_knot(const unsigned &ipt, Shape &psi, DShape &dpsids) const
Definition: elements.cc:3239
int nodal_local_eqn(const unsigned &n, const unsigned &i) const
Definition: elements.h:1432
unsigned nnode() const
Return the number of nodes.
Definition: elements.h:2210
Integral *const & integral_pt() const
Return the pointer to the integration scheme (const version)
Definition: elements.h:1963
double nodal_position(const unsigned &n, const unsigned &i) const
Definition: elements.h:2317
unsigned nodal_dimension() const
Return the required Eulerian dimension of the nodes in this element.
Definition: elements.h:2484
virtual unsigned nweight() const =0
Return the number of integration points of the scheme.
virtual double weight(const unsigned &i) const =0
Return weight of i-th integration point.
const double & q() const
Definition: helmholtz_time_harmonic_linear_elasticity_interaction.h:152
float real
Definition: datatypes.h:10
char char char int int * k
Definition: level2_impl.h:374
@ W
Definition: quadtree.h:63
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::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_jacobian(), and oomph::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_residuals().

◆ output() [1/4]

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

C_style output function.

Reimplemented from oomph::FiniteElement.

241  {
243  }
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::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output ( FILE *  file_pt,
const unsigned n_plot 
)
inlinevirtual

C-style output function.

Reimplemented from oomph::FiniteElement.

247  {
249  }

References output().

◆ output() [3/4]

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

Output function.

Dummy

Reimplemented from oomph::FiniteElement.

167  {
169  unsigned nplot = 0;
170  output(outfile, nplot);
171  }
void output(std::ostream &outfile)
Output function.
Definition: helmholtz_time_harmonic_linear_elasticity_interaction.h:166

◆ output() [4/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
void oomph::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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.

176  {
177  // Dimension
178  unsigned n_dim = this->nodal_dimension();
179 
180  // Storage for traction
181  Vector<std::complex<double>> traction(n_dim);
182 
183  // Get FSI parameter
184  const double q_value = q();
185 
186  outfile << "ZONE\n";
187 
188  // Set the value of n_intpt
189  unsigned n_intpt = integral_pt()->nweight();
190 
191  // Loop over the integration points
192  for (unsigned ipt = 0; ipt < n_intpt; ipt++)
193  {
194  Vector<double> s_int(n_dim - 1);
195  for (unsigned i = 0; i < n_dim - 1; i++)
196  {
197  s_int[i] = integral_pt()->knot(ipt, i);
198  }
199 
200  // Get the outer unit normal
201  Vector<double> interpolated_normal(n_dim);
202  outer_unit_normal(ipt, interpolated_normal);
203 
204  // Boundary coordinate
205  Vector<double> zeta(1);
206  interpolated_zeta(s_int, zeta);
207 
208  // Get bulk element for potential
209  HELMHOLTZ_BULK_ELEMENT* ext_el_pt =
210  dynamic_cast<HELMHOLTZ_BULK_ELEMENT*>(external_element_pt(0, ipt));
211  Vector<double> s_ext(external_element_local_coord(0, ipt));
212  std::complex<double> u_helmholtz =
213  ext_el_pt->interpolated_u_helmholtz(s_ext);
214 
215  // Traction: Pressure is proportional to POSITIVE potential
216  ext_el_pt->interpolated_u_helmholtz(s_ext);
217  traction[0] = -q_value * interpolated_normal[0] * u_helmholtz;
218  traction[1] = -q_value * interpolated_normal[1] * u_helmholtz;
219 
220  outfile << ext_el_pt->interpolated_x(s_ext, 0) << " "
221  << ext_el_pt->interpolated_x(s_ext, 1) << " "
222  << traction[0].real() << " " << traction[1].real() << " "
223  << traction[0].imag() << " " << traction[1].imag() << " "
224  << interpolated_normal[0] << " " << interpolated_normal[1]
225  << " " << u_helmholtz.real() << " " << u_helmholtz.imag() << " "
226  << interpolated_x(s_int, 0) << " " << interpolated_x(s_int, 1)
227  << " "
228 
229  << sqrt(pow(ext_el_pt->interpolated_x(s_ext, 0) -
230  interpolated_x(s_int, 0),
231  2) +
232  pow(ext_el_pt->interpolated_x(s_ext, 1) -
233  interpolated_x(s_int, 1),
234  2))
235  << " " << zeta[0] << std::endl;
236  }
237  }
void interpolated_zeta(const Vector< double > &s, Vector< double > &zeta) const
Definition: elements.cc:4675
virtual double knot(const unsigned &i, const unsigned &j) const =0
Return local coordinate s[j] of i-th integration point.
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC bfloat16 pow(const bfloat16 &a, const bfloat16 &b)
Definition: BFloat16.h:625
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::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q(), sqrt(), and Eigen::zeta().

◆ q()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
const double& oomph::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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.

153  {
154  return *Q_pt;
155  }

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

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

◆ q_pt()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >
double*& oomph::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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.

160  {
161  return Q_pt;
162  }

References oomph::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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 ratio 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::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q(), and oomph::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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::TimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::U_index_time_harmonic_linear_elasticity_helmholtz_traction
protected

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