#include <fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h>

Inheritance diagram for oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >:

Public Member Functions
	FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement (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...

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_fourier_decomposed_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::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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

◆ FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement	(	FiniteElement *const &	element_pt,
		const int &	face_index
	)

inline

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

       : FaceGeometry<ELASTICITY_BULK_ELEMENT>(),
         FaceElement(),
         Q_pt(&Default_Q_Value)
     {
       // Attach the geometrical information to the element. N.B. This function
       // also assigns nbulk_value from the required_nvalue of the bulk element
       element_pt->build_face_element(face_index, this);
  
 #ifdef PARANOID
       {
         // Check that the element is not a refineable 3d element
         ELASTICITY_BULK_ELEMENT* elem_pt =
           dynamic_cast<ELASTICITY_BULK_ELEMENT*>(element_pt);
         // If it's three-d
         if (elem_pt->dim() == 3)
         {
           // Is it refineable
           RefineableElement* ref_el_pt =
             dynamic_cast<RefineableElement*>(elem_pt);
           if (ref_el_pt != 0)
           {
             if (this->has_hanging_nodes())
             {
               throw OomphLibError("This flux element will not work correctly "
                                   "if nodes are hanging\n",
                                   OOMPH_CURRENT_FUNCTION,
                                   OOMPH_EXCEPTION_LOCATION);
             }
           }
         }
       }
 #endif
  
       // Set source element storage: one interaction with an external
       // element -- the Helmholtz bulk element that provides the pressure
       this->set_ninteraction(1);
  
       // Find the dimension of the problem
       unsigned n_dim = element_pt->nodal_dimension();
  
       // Find the index at which the displacement unknowns are stored
       ELASTICITY_BULK_ELEMENT* cast_element_pt =
         dynamic_cast<ELASTICITY_BULK_ELEMENT*>(element_pt);
       this
         ->U_index_fourier_decomposed_time_harmonic_linear_elasticity_helmholtz_traction
         .resize(n_dim + 1);
       for (unsigned i = 0; i < n_dim + 1; i++)
       {
         this
           ->U_index_fourier_decomposed_time_harmonic_linear_elasticity_helmholtz_traction
             [i] =
           cast_element_pt
             ->u_index_time_harmonic_fourier_decomposed_linear_elasticity(i);
       }
     }

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, and oomph::ElementWithExternalElement::set_ninteraction().

Member Function Documentation

◆ fill_in_contribution_to_jacobian()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

void oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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.

     {
       // Call the residuals
       fill_in_contribution_to_residuals_helmholtz_traction(residuals);
  
       // Derivatives w.r.t. external data
       fill_in_jacobian_from_external_interaction_by_fd(residuals, jacobian);
     }

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

inlinevirtual

Return the residuals.

Reimplemented from oomph::GeneralisedElement.

     {
       fill_in_contribution_to_residuals_helmholtz_traction(residuals);
     }

References oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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.

   {
     // Find out how many nodes there are
     unsigned n_node = nnode();
  
 #ifdef PARANOID
     // Find out how many positional dofs there are
     unsigned n_position_type = this->nnodal_position_type();
     if (n_position_type != 1)
     {
       throw OomphLibError("LinearElasticity is not yet implemented for more "
                           "than one position type.",
                           OOMPH_CURRENT_FUNCTION,
                           OOMPH_EXCEPTION_LOCATION);
     }
 #endif
  
     // Find out the dimension of the node
     const unsigned n_dim = this->nodal_dimension();
  
     // Cache the nodal indices at which the displacement components are stored
     std::vector<std::complex<unsigned>> u_nodal_index(n_dim + 1);
     for (unsigned i = 0; i < n_dim + 1; i++)
     {
       u_nodal_index[i] =
         this
           ->U_index_fourier_decomposed_time_harmonic_linear_elasticity_helmholtz_traction
             [i];
     }
  
     // Integer to hold the local equation number
     int local_eqn = 0;
  
     // Set up memory for the shape functions
     Shape psi(n_node);
     DShape dpsids(n_node, n_dim - 1);
  
     // Get FSI parameter
     const double q_value = q();
  
     // Storage for traction
     Vector<std::complex<double>> traction(n_dim + 1);
  
     // Set the value of n_intpt
     unsigned n_intpt = integral_pt()->nweight();
  
     // Loop over the integration points
     for (unsigned ipt = 0; ipt < n_intpt; ipt++)
     {
       // Get the integral weight
       double w = integral_pt()->weight(ipt);
  
       // Only need to call the local derivatives
       dshape_local_at_knot(ipt, psi, dpsids);
  
       // Calculate the coordinates
       Vector<double> interpolated_x(n_dim, 0.0);
  
       // Also calculate the surface tangent vectors
       DenseMatrix<double> interpolated_A(n_dim - 1, n_dim, 0.0);
  
       // Calculate displacements and derivatives
       for (unsigned l = 0; l < n_node; l++)
       {
         // Loop over directions
         for (unsigned i = 0; i < n_dim; i++)
         {
           // Calculate the Eulerian coords
           const double x_local = nodal_position(l, i);
           interpolated_x[i] += x_local * psi(l);
  
           // Loop over LOCAL derivative directions, to calculate the tangent(s)
           for (unsigned j = 0; j < n_dim - 1; j++)
           {
             interpolated_A(j, i) += x_local * dpsids(l, j);
           }
         }
       }
  
       // First component for the residuals
       double r = interpolated_x[0];
  
       // Now find the local metric tensor from the tangent Vectors
       DenseMatrix<double> A(n_dim - 1);
       for (unsigned i = 0; i < n_dim - 1; i++)
       {
         for (unsigned j = 0; j < n_dim - 1; j++)
         {
           // Initialise surface metric tensor to zero
           A(i, j) = 0.0;
  
           // Take the dot product
           for (unsigned k = 0; k < n_dim; k++)
           {
             A(i, j) += interpolated_A(i, k) * interpolated_A(j, k);
           }
         }
       }
  
       // Get the outer unit normal
       Vector<double> interpolated_normal(n_dim);
       outer_unit_normal(ipt, interpolated_normal);
  
       // Find the determinant of the metric tensor
       double Adet = 0.0;
       switch (n_dim)
       {
         case 2:
           Adet = A(0, 0);
           break;
         case 3:
           Adet = A(0, 0) * A(1, 1) - A(0, 1) * A(1, 0);
           break;
         default:
           throw OomphLibError(
             "Wrong dimension in TimeHarmonicLinElastLoadedByPressureElement",
             "TimeHarmonicLinElastLoadedByPressureElement::fill_in_contribution_"
             "to_residuals()",
             OOMPH_EXCEPTION_LOCATION);
       }
  
       // Premultiply the weights and the square-root of the determinant of
       // the metric tensor
       double W = w * sqrt(Adet);
  
       // Get bulk element for potential
       HELMHOLTZ_BULK_ELEMENT* ext_el_pt =
         dynamic_cast<HELMHOLTZ_BULK_ELEMENT*>(external_element_pt(0, ipt));
       Vector<double> s_ext(external_element_local_coord(0, ipt));
  
       // Traction: Pressure is proportional to POSITIVE potential
       std::complex<double> u_helmholtz =
         ext_el_pt->interpolated_u_fourier_decomposed_helmholtz(s_ext);
       for (unsigned i = 0; i < n_dim; i++)
       {
         traction[i] = -q_value * interpolated_normal[i] * u_helmholtz;
       }
       // Loop over the test functions, nodes of the element
       for (unsigned l = 0; l < n_node; l++)
       {
         // Loop over the displacement components
         for (unsigned i = 0; i < n_dim + 1; i++)
         {
           local_eqn = this->nodal_local_eqn(l, u_nodal_index[i].real());
           /*IF it's not a boundary condition*/
           if (local_eqn >= 0)
           {
             // Add the loading terms to the residuals
             residuals[local_eqn] -= traction[i].real() * psi(l) * r * W;
           }
  
           local_eqn = this->nodal_local_eqn(l, u_nodal_index[i].imag());
           /*IF it's not a boundary condition*/
           if (local_eqn >= 0)
           {
             // Add the loading terms to the residuals
             residuals[local_eqn] -= traction[i].imag() * psi(l) * r * W;
           }
  
         } // End of if not boundary condition
       } // End of loop over shape functions
     } // End of loop over integration points
   }

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

Referenced by oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::fill_in_contribution_to_jacobian(), and oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output ( FILE * file_pt )

inlinevirtual

C_style output function.

Reimplemented from oomph::FiniteElement.

     {
       FaceGeometry<ELASTICITY_BULK_ELEMENT>::output(file_pt);
     }

References output().

◆ output() [2/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

void oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output	(	FILE *	file_pt,
		const unsigned &	n_plot
	)

inlinevirtual

C-style output function.

Reimplemented from oomph::FiniteElement.

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

References output().

◆ output() [3/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

void oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::output ( std::ostream & outfile )

inlinevirtual

Output function.

Dummy

Reimplemented from oomph::FiniteElement.

     {
       unsigned nplot = 0;
       output(outfile, nplot);
     }

◆ output() [4/4]

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

void oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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.

     {
       // Dimension
       unsigned n_dim = this->nodal_dimension();
  
       // Storage for traction
       Vector<std::complex<double>> traction(n_dim + 1);
  
       // Get FSI parameter
       const double q_value = q();
  
       outfile << "ZONE\n";
  
       // Set the value of n_intpt
       unsigned n_intpt = integral_pt()->nweight();
  
       // Loop over the integration points
       for (unsigned ipt = 0; ipt < n_intpt; ipt++)
       {
         Vector<double> s_int(n_dim - 1);
         s_int[0] = integral_pt()->knot(ipt, 0);
  
         // Get the outer unit normal
         Vector<double> interpolated_normal(n_dim);
         outer_unit_normal(ipt, interpolated_normal);
  
         // Boundary coordinate
         Vector<double> zeta(1);
         interpolated_zeta(s_int, zeta);
  
  
         // Get bulk element for potential
         HELMHOLTZ_BULK_ELEMENT* ext_el_pt =
           dynamic_cast<HELMHOLTZ_BULK_ELEMENT*>(external_element_pt(0, ipt));
         Vector<double> s_ext(external_element_local_coord(0, ipt));
         std::complex<double> u_helmholtz =
           ext_el_pt->interpolated_u_fourier_decomposed_helmholtz(s_ext);
  
         // Traction: Pressure is proportional to POSITIVE potential
         ext_el_pt->interpolated_u_fourier_decomposed_helmholtz(s_ext);
         for (unsigned i = 0; i < n_dim; i++)
         {
           traction[i] = -q_value * interpolated_normal[i] * u_helmholtz;
         }
  
         outfile << ext_el_pt->interpolated_x(s_ext, 0) << " "
                 << ext_el_pt->interpolated_x(s_ext, 1) << " " << traction[0]
                 << " " << traction[1] << " " << interpolated_normal[0] << " "
                 << interpolated_normal[1] << " " << u_helmholtz << " "
                 << zeta[0] << std::endl;
       }
     }

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

◆ q()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

const double& oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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.

     {
       return *Q_pt;
     }

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

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

◆ q_pt()

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

double*& oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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.

     {
       return Q_pt;
     }

References oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< 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::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q(), and oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::q_pt().

◆ U_index_fourier_decomposed_time_harmonic_linear_elasticity_helmholtz_traction

template<class ELASTICITY_BULK_ELEMENT , class HELMHOLTZ_BULK_ELEMENT >

Vector<std::complex<unsigned> > oomph::FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement< ELASTICITY_BULK_ELEMENT, HELMHOLTZ_BULK_ELEMENT >::U_index_fourier_decomposed_time_harmonic_linear_elasticity_helmholtz_traction

protected

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

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

fourier_decomposed_helmholtz_time_harmonic_linear_elasticity_interaction.h

Public Member Functions

Protected Member Functions

Protected Attributes

Static Protected Attributes

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

◆ FourierDecomposedTimeHarmonicLinElastLoadedByHelmholtzPressureBCElement()

Member Function Documentation

◆ fill_in_contribution_to_jacobian()

◆ fill_in_contribution_to_residuals()

◆ fill_in_contribution_to_residuals_helmholtz_traction()

◆ output() [1/4]

◆ output() [2/4]

◆ output() [3/4]

◆ output() [4/4]

◆ q()

◆ q_pt()

Member Data Documentation

◆ Default_Q_Value

◆ Q_pt

◆ U_index_fourier_decomposed_time_harmonic_linear_elasticity_helmholtz_traction

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