#include <solid_traction_elements.h>

Inheritance diagram for oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >:

Public Member Functions
void	describe_local_dofs (std::ostream &out, const std::string &current_string) const

	FSIImposeDisplacementByLagrangeMultiplierElement (FiniteElement *const &element_pt, const int &face_index, const unsigned &id=0, const bool &called_from_refineable_constructor=false)

void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Fill in the residuals. More...

void	fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
	Fill in contribution from Jacobian. More...

void	fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)

void	output (std::ostream &outfile, const unsigned &n_plot)
	Output function. More...

void	output (std::ostream &outfile)
	Output function. More...

Public Member Functions inherited from oomph::SolidFaceElement
double	zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const

double	interpolated_xi (const Vector< double > &s, const unsigned &i) const

void	interpolated_xi (const Vector< double > &s, Vector< double > &xi) const

Public Member Functions inherited from oomph::FaceElement
	FaceElement ()
	Constructor: Initialise all appropriate member data. More...

virtual	~FaceElement ()
	Empty virtual destructor. More...

	FaceElement (const FaceElement &)=delete
	Broken copy constructor. More...

const unsigned &	boundary_number_in_bulk_mesh () const
	Broken assignment operator. More...

void	set_boundary_number_in_bulk_mesh (const unsigned &b)
	Set function for the boundary number in bulk mesh. More...

double	J_eulerian (const Vector< double > &s) const

double	J_eulerian_at_knot (const unsigned &ipt) const

void	check_J_eulerian_at_knots (bool &passed) const

double	interpolated_x (const Vector< double > &s, const unsigned &i) const

double	interpolated_x (const unsigned &t, const Vector< double > &s, const unsigned &i) const

void	interpolated_x (const Vector< double > &s, Vector< double > &x) const

void	interpolated_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) const

double	interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t)

void	interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt)

int &	normal_sign ()

int	normal_sign () const

int &	face_index ()

int	face_index () const

const Vector< double > *	tangent_direction_pt () const
	Public access function for the tangent direction pointer. More...

void	set_tangent_direction (Vector< double > *tangent_direction_pt)
	Set the tangent direction vector. More...

void	turn_on_warning_for_discontinuous_tangent ()

void	turn_off_warning_for_discontinuous_tangent ()

void	continuous_tangent_and_outer_unit_normal (const Vector< double > &s, Vector< Vector< double >> &tang_vec, Vector< double > &unit_normal) const

void	continuous_tangent_and_outer_unit_normal (const unsigned &ipt, Vector< Vector< double >> &tang_vec, Vector< double > &unit_normal) const

void	outer_unit_normal (const Vector< double > &s, Vector< double > &unit_normal) const
	Compute outer unit normal at the specified local coordinate. More...

void	outer_unit_normal (const unsigned &ipt, Vector< double > &unit_normal) const
	Compute outer unit normal at ipt-th integration point. More...

FiniteElement *&	bulk_element_pt ()
	Pointer to higher-dimensional "bulk" element. More...

FiniteElement *	bulk_element_pt () const
	Pointer to higher-dimensional "bulk" element (const version) More...

CoordinateMappingFctPt &	face_to_bulk_coordinate_fct_pt ()

CoordinateMappingFctPt	face_to_bulk_coordinate_fct_pt () const

BulkCoordinateDerivativesFctPt &	bulk_coordinate_derivatives_fct_pt ()

BulkCoordinateDerivativesFctPt	bulk_coordinate_derivatives_fct_pt () const

Vector< double >	local_coordinate_in_bulk (const Vector< double > &s) const

void	get_local_coordinate_in_bulk (const Vector< double > &s, Vector< double > &s_bulk) const

void	get_ds_bulk_ds_face (const Vector< double > &s, DenseMatrix< double > &dsbulk_dsface, unsigned &interior_direction) const

unsigned &	bulk_position_type (const unsigned &i)

const unsigned &	bulk_position_type (const unsigned &i) const

void	bulk_node_number_resize (const unsigned &i)
	Resize the storage for the bulk node numbers. More...

unsigned &	bulk_node_number (const unsigned &n)

const unsigned &	bulk_node_number (const unsigned &n) const

void	bulk_position_type_resize (const unsigned &i)
	Resize the storage for bulk_position_type to i entries. More...

unsigned &	nbulk_value (const unsigned &n)

unsigned	nbulk_value (const unsigned &n) const

void	nbulk_value_resize (const unsigned &i)

void	resize_nodes (Vector< unsigned > &nadditional_data_values)

void	output_zeta (std::ostream &outfile, const unsigned &nplot)
	Output boundary coordinate zeta. More...

Public Member Functions inherited from oomph::FiniteElement
void	set_dimension (const unsigned &dim)

void	set_nodal_dimension (const unsigned &nodal_dim)

void	set_nnodal_position_type (const unsigned &nposition_type)
	Set the number of types required to interpolate the coordinate. More...

void	set_n_node (const unsigned &n)

int	nodal_local_eqn (const unsigned &n, const unsigned &i) const

double	dJ_eulerian_at_knot (const unsigned &ipt, Shape &psi, DenseMatrix< double > &djacobian_dX) const

	FiniteElement ()
	Constructor. More...

virtual	~FiniteElement ()

	FiniteElement (const FiniteElement &)=delete
	Broken copy constructor. More...

virtual bool	local_coord_is_valid (const Vector< double > &s)
	Broken assignment operator. More...

virtual void	move_local_coord_back_into_element (Vector< double > &s) const

void	get_centre_of_gravity_and_max_radius_in_terms_of_zeta (Vector< double > &cog, double &max_radius) const

virtual void	local_coordinate_of_node (const unsigned &j, Vector< double > &s) const

virtual void	local_fraction_of_node (const unsigned &j, Vector< double > &s_fraction)

virtual double	local_one_d_fraction_of_node (const unsigned &n1d, const unsigned &i)

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

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

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...

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 double	s_min () const
	Min value of local coordinate. More...

virtual double	s_max () const
	Max. value of local coordinate. More...

double	size () const

virtual double	compute_physical_size () const

virtual void	point_output_data (const Vector< double > &s, Vector< double > &data)

void	point_output (std::ostream &outfile, const Vector< double > &s)

virtual unsigned	nplot_points_paraview (const unsigned &nplot) const

virtual unsigned	nsub_elements_paraview (const unsigned &nplot) const

void	output_paraview (std::ofstream &file_out, const unsigned &nplot) const

virtual void	write_paraview_output_offset_information (std::ofstream &file_out, const unsigned &nplot, unsigned &counter) const

virtual void	write_paraview_type (std::ofstream &file_out, const unsigned &nplot) const

virtual void	write_paraview_offsets (std::ofstream &file_out, const unsigned &nplot, unsigned &offset_sum) const

virtual unsigned	nscalar_paraview () const

virtual void	scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) const

virtual void	scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) const

virtual void	scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const

virtual std::string	scalar_name_paraview (const unsigned &i) const

virtual void	output (const unsigned &t, std::ostream &outfile, const unsigned &n_plot) const

virtual void	output (FILE *file_pt)

virtual void	output (FILE *file_pt, const unsigned &n_plot)

virtual void	output_fct (std::ostream &outfile, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
	Output an exact solution over the element. More...

virtual void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)
	Output a time-dependent exact solution over the element. More...

virtual void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, const SolutionFunctorBase &exact_soln) const
	Output a time-dependent exact solution over the element. More...

virtual void	get_s_plot (const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &shifted_to_interior=false) const

virtual std::string	tecplot_zone_string (const unsigned &nplot) const

virtual void	write_tecplot_zone_footer (std::ostream &outfile, const unsigned &nplot) const

virtual void	write_tecplot_zone_footer (FILE *file_pt, const unsigned &nplot) const

virtual unsigned	nplot_points (const unsigned &nplot) const

virtual void	compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
	Calculate the norm of the error and that of the exact solution. More...

virtual void	compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
	Calculate the norm of the error and that of the exact solution. More...

virtual void	compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)

virtual void	compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)

virtual void	compute_abs_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error)

void	integrate_fct (FiniteElement::SteadyExactSolutionFctPt integrand_fct_pt, Vector< double > &integral)
	Integrate Vector-valued function over element. More...

void	integrate_fct (FiniteElement::UnsteadyExactSolutionFctPt integrand_fct_pt, const double &time, Vector< double > &integral)
	Integrate Vector-valued time-dep function over element. More...

virtual void	build_face_element (const int &face_index, FaceElement *face_element_pt)

virtual unsigned	self_test ()

virtual unsigned	get_bulk_node_number (const int &face_index, const unsigned &i) const

virtual int	face_outer_unit_normal_sign (const int &face_index) const
	Get the sign of the outer unit normal on the face given by face_index. More...

virtual unsigned	nnode_on_face () const

void	face_node_number_error_check (const unsigned &i) const
	Range check for face node numbers. More...

virtual CoordinateMappingFctPt	face_to_bulk_coordinate_fct_pt (const int &face_index) const

virtual BulkCoordinateDerivativesFctPt	bulk_coordinate_derivatives_fct_pt (const int &face_index) const

Public Member Functions inherited from oomph::GeneralisedElement
	GeneralisedElement ()
	Constructor: Initialise all pointers and all values to zero. More...

virtual	~GeneralisedElement ()
	Virtual destructor to clean up any memory allocated by the object. More...

	GeneralisedElement (const GeneralisedElement &)=delete
	Broken copy constructor. More...

void	operator= (const GeneralisedElement &)=delete
	Broken assignment operator. More...

Data *&	internal_data_pt (const unsigned &i)
	Return a pointer to i-th internal data object. More...

Data *const &	internal_data_pt (const unsigned &i) const
	Return a pointer to i-th internal data object (const version) More...

Data *&	external_data_pt (const unsigned &i)
	Return a pointer to i-th external data object. More...

Data *const &	external_data_pt (const unsigned &i) const
	Return a pointer to i-th external data object (const version) More...

unsigned long	eqn_number (const unsigned &ieqn_local) const

int	local_eqn_number (const unsigned long &ieqn_global) const

unsigned	add_external_data (Data *const &data_pt, const bool &fd=true)

bool	external_data_fd (const unsigned &i) const

void	exclude_external_data_fd (const unsigned &i)

void	include_external_data_fd (const unsigned &i)

void	flush_external_data ()
	Flush all external data. More...

void	flush_external_data (Data *const &data_pt)
	Flush the object addressed by data_pt from the external data array. More...

unsigned	ninternal_data () const
	Return the number of internal data objects. More...

unsigned	nexternal_data () const
	Return the number of external data objects. More...

unsigned	ndof () const
	Return the number of equations/dofs in the element. More...

void	dof_vector (const unsigned &t, Vector< double > &dof)
	Return the vector of dof values at time level t. More...

void	dof_pt_vector (Vector< double * > &dof_pt)
	Return the vector of pointers to dof values. More...

void	set_internal_data_time_stepper (const unsigned &i, TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)

void	assign_internal_eqn_numbers (unsigned long &global_number, Vector< double * > &Dof_pt)

void	describe_dofs (std::ostream &out, const std::string &current_string) const

void	add_internal_value_pt_to_map (std::map< unsigned, double * > &map_of_value_pt)

virtual void	assign_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	complete_setup_of_dependencies ()

virtual void	get_residuals (Vector< double > &residuals)

virtual void	get_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)

virtual void	get_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix)

virtual void	get_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)

virtual void	get_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)

virtual void	get_djacobian_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam)

virtual void	get_djacobian_and_dmass_matrix_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam)

virtual void	get_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product)

virtual void	get_inner_products (Vector< std::pair< unsigned, unsigned >> const &history_index, Vector< double > &inner_product)

virtual void	get_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double >> &inner_product_vector)

virtual void	compute_norm (Vector< double > &norm)

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::SolidFiniteElement
void	set_lagrangian_dimension (const unsigned &lagrangian_dimension)

virtual bool	has_internal_solid_data ()

	SolidFiniteElement ()
	Constructor: Set defaults. More...

virtual	~SolidFiniteElement ()
	Destructor to clean up any allocated memory. More...

	SolidFiniteElement (const SolidFiniteElement &)=delete
	Broken copy constructor. More...

unsigned	ngeom_data () const
	Broken assignment operator. More...

Data *	geom_data_pt (const unsigned &j)

void	identify_geometric_data (std::set< Data * > &geometric_data_pt)

virtual void	get_x_and_xi (const Vector< double > &s, Vector< double > &x_fe, Vector< double > &x, Vector< double > &xi_fe, Vector< double > &xi) const

virtual void	set_macro_elem_pt (MacroElement *macro_elem_pt)

virtual void	set_macro_elem_pt (MacroElement macro_elem_pt, MacroElement undeformed_macro_elem_pt)

void	set_undeformed_macro_elem_pt (MacroElement *undeformed_macro_elem_pt)

MacroElement *	undeformed_macro_elem_pt ()
	Access function to pointer to "undeformed" macro element. More...

double	dshape_lagrangian (const Vector< double > &s, Shape &psi, DShape &dpsidxi) const

virtual double	dshape_lagrangian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidxi) const

double	d2shape_lagrangian (const Vector< double > &s, Shape &psi, DShape &dpsidxi, DShape &d2psidxi) const

virtual double	d2shape_lagrangian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidxi, DShape &d2psidxi) const

unsigned	lagrangian_dimension () const

unsigned	nnodal_lagrangian_type () const

Node *	construct_node (const unsigned &n)
	Construct the local node n and return a pointer to it. More...

Node *	construct_node (const unsigned &n, TimeStepper *const &time_stepper_pt)

Node *	construct_boundary_node (const unsigned &n)

Node *	construct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt)

virtual void	assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt)

double	raw_lagrangian_position (const unsigned &n, const unsigned &i) const

double	raw_lagrangian_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const

double	lagrangian_position (const unsigned &n, const unsigned &i) const
	Return i-th Lagrangian coordinate at local node n. More...

double	lagrangian_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const

virtual void	interpolated_dxids (const Vector< double > &s, DenseMatrix< double > &dxids) const

virtual void	J_lagrangian (const Vector< double > &s) const

virtual double	J_lagrangian_at_knot (const unsigned &ipt) const

SolidInitialCondition *&	solid_ic_pt ()
	Pointer to object that describes the initial condition. More...

void	enable_solve_for_consistent_newmark_accel ()

void	disable_solve_for_consistent_newmark_accel ()
	Set to reset the problem being solved to be the standard problem. More...

MultiplierFctPt &	multiplier_fct_pt ()

MultiplierFctPt	multiplier_fct_pt () const

virtual void	get_residuals_for_solid_ic (Vector< double > &residuals)

void	fill_in_residuals_for_solid_ic (Vector< double > &residuals)

void	fill_in_jacobian_for_solid_ic (Vector< double > &residuals, DenseMatrix< double > &jacobian)

void	fill_in_jacobian_for_newmark_accel (DenseMatrix< double > &jacobian)

void	compute_norm (double &el_norm)

int	position_local_eqn (const unsigned &n, const unsigned &k, const unsigned &j) 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

Protected Member Functions
void	fill_in_generic_contribution_to_residuals_fsi_displ_lagr_multiplier (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)

unsigned	ndof_types () const

void	get_dof_numbers_for_unknowns (std::list< std::pair< unsigned long, unsigned >> &dof_lookup_list) const

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_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::SolidFiniteElement
void	fill_in_generic_jacobian_for_solid_ic (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)

void	set_nnodal_lagrangian_type (const unsigned &nlagrangian_type)

virtual double	local_to_lagrangian_mapping (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

double	local_to_lagrangian_mapping (const DShape &dpsids, DenseMatrix< double > &inverse_jacobian) const

virtual double	local_to_lagrangian_mapping_diagonal (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

virtual void	assign_solid_local_eqn_numbers (const bool &store_local_dof)
	Assign local equation numbers for the solid equations in the element. More...

void	describe_solid_local_dofs (std::ostream &out, const std::string &current_string) const
	Classifies dofs locally for solid specific aspects. More...

virtual void	fill_in_jacobian_from_solid_position_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian)

void	fill_in_jacobian_from_solid_position_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_solid_position_fd ()

virtual void	reset_after_solid_position_fd ()

virtual void	update_in_solid_position_fd (const unsigned &i)

virtual void	reset_in_solid_position_fd (const unsigned &i)

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
unsigned	Id
	Lagrange Id. 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::SolidFiniteElement
MacroElement *	Undeformed_macro_elem_pt
	Pointer to the element's "undeformed" macro element (NULL by default) More...

SolidInitialCondition *	Solid_ic_pt
	Pointer to object that specifies the initial condition. More...

bool	Solve_for_consistent_newmark_accel_flag

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

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 > &)

Public Types inherited from oomph::SolidFiniteElement
typedef double(*	MultiplierFctPt) (const Vector< double > &xi)

Static Public Attributes inherited from oomph::FiniteElement
static double	Tolerance_for_singular_jacobian = 1.0e-16
	Tolerance below which the jacobian is considered singular. More...

static bool	Accept_negative_jacobian = false

static bool	Suppress_output_while_checking_for_inverted_elements

Static Public Attributes inherited from oomph::GeneralisedElement
static bool	Suppress_warning_about_repeated_internal_data

static bool	Suppress_warning_about_repeated_external_data = true

static double	Default_fd_jacobian_step = 1.0e-8

Static Protected Attributes inherited from oomph::FiniteElement
static const unsigned	Default_Initial_Nvalue = 0
	Default value for the number of values at a node. More...

static const double	Node_location_tolerance = 1.0e-14

static const unsigned	N2deriv [] = {0, 1, 3, 6}

Static Protected Attributes inherited from oomph::GeneralisedElement
static DenseMatrix< double >	Dummy_matrix

static std::deque< double * >	Dof_pt_deque

Detailed Description

template<class ELEMENT>
class oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >

///////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////// A class for elements that allow the imposition of a displacement constraint for bulk solid elements via a Lagrange multiplier. Prescribed displaced is obtained from an adjacent bulk solid element (rather than from a lower-dimensional GeomObject as in the corresponding ImposeDisplacementByLagrangeMultiplierElement class. The present class is particularly suited for parallel FSI computations. NOTE: Currently (and for the foreseeable future) this element only works with bulk elements that do not have generalised degrees of freedom (so it won't work with Hermite-type elements, say). The additional functionality to deal with such elements could easily be added (once a a suitable test case is written). For now we simply throw errors if an attempt is made to use the element with an unsuitable bulk element.

Constructor & Destructor Documentation

◆ FSIImposeDisplacementByLagrangeMultiplierElement()

template<class ELEMENT >

oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::FSIImposeDisplacementByLagrangeMultiplierElement	(	FiniteElement *const &	element_pt,
		const int &	face_index,
		const unsigned &	id = `0`,
		const bool &	called_from_refineable_constructor = `false`
	)

inline

Constructor takes a "bulk" element and the index that identifies which face the FaceElement is supposed to be attached to. The optional identifier can be used to distinguish the additional nodal values created by this element from thos created by other FaceElements.

       : FaceGeometry<ELEMENT>(), FaceElement(), ElementWithExternalElement()
     {
       // Set external element storage - one interaction
       this->set_ninteraction(1);
  
       //  Store the ID of the FaceElement -- this is used to distinguish
       // it from any others
       Id = id;
  
       // Build the face element
       element_pt->build_face_element(face_index, this);
  
 #ifdef PARANOID
       {
         // Check that the bulk element is not a refineable 3d element
         if (!called_from_refineable_constructor)
         {
           if (element_pt->dim() == 3)
           {
             // Is it refineable
             RefineableElement* ref_el_pt =
               dynamic_cast<RefineableElement*>(element_pt);
             if (ref_el_pt != 0)
             {
               if (this->has_hanging_nodes())
               {
                 throw OomphLibError(
                   "This face element will not work correctly if nodes are "
                   "hanging\nUse the refineable version instead. ",
                   OOMPH_CURRENT_FUNCTION,
                   OOMPH_EXCEPTION_LOCATION);
               }
             }
           }
         }
       }
  
       {
         // Check that the bulk element does not require generalised positional
         // degrees of freedom
         if (element_pt->nnodal_position_type() != 1)
         {
           throw OomphLibError("FSIImposeDisplacementByLagrangeMultiplierElement"
                               " cannot (currently) be used with elements that "
                               "have generalised positional dofs",
                               OOMPH_CURRENT_FUNCTION,
                               OOMPH_EXCEPTION_LOCATION);
         }
       }
 #endif
  
       // Dimension of the bulk element
       unsigned dim = element_pt->dim();
  
       // We need dim additional values for each FaceElement node
       // to store the dim Lagrange multipliers.
       Vector<unsigned> n_additional_values(nnode(), dim);
  
       // Now add storage for Lagrange multipliers and set the map containing
       // the position of the first entry of this face element's
       // additional values.
       add_additional_values(n_additional_values, id);
     }

References oomph::FaceElement::add_additional_values(), oomph::FiniteElement::build_face_element(), oomph::FiniteElement::dim(), oomph::FaceElement::face_index(), oomph::FiniteElement::has_hanging_nodes(), oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::Id, oomph::FiniteElement::nnodal_position_type(), oomph::FiniteElement::nnode(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::ElementWithExternalElement::set_ninteraction().

Member Function Documentation

◆ describe_local_dofs()

template<class ELEMENT >

void oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::describe_local_dofs	(	std::ostream &	out,
		const std::string &	current_string
	)		const

inlinevirtual

Function to describe the local dofs of the elements. The ostream specifies the output stream to which the description is written; the string stores the currently assembled output that is ultimately written to the output stream by Data::describe_dofs(...); it is typically built up incrementally as we descend through the call hierarchy of this function when called from Problem::describe_dofs(...)

Reimplemented from oomph::ElementWithExternalElement.

     {
       ElementWithExternalElement::describe_local_dofs(out, current_string);
       describe_nodal_local_dofs(out, current_string);
     }

References oomph::ElementWithExternalElement::describe_local_dofs(), oomph::FiniteElement::describe_nodal_local_dofs(), and out().

◆ fill_in_contribution_to_jacobian()

template<class ELEMENT >

void oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::fill_in_contribution_to_jacobian	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian
	)

inlinevirtual

Fill in contribution from Jacobian.

Reimplemented from oomph::ElementWithExternalElement.

Reimplemented in oomph::RefineableFSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >.

     {
       // Call the generic routine with the flag set to 1
       fill_in_generic_contribution_to_residuals_fsi_displ_lagr_multiplier(
         residuals, jacobian, 1);
  
       // Add the contribution of the external interaction by finite differences
       this->fill_in_jacobian_from_external_interaction_by_fd(jacobian);
     }

References oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::fill_in_generic_contribution_to_residuals_fsi_displ_lagr_multiplier(), and oomph::ElementWithExternalElement::fill_in_jacobian_from_external_interaction_by_fd().

Referenced by oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::fill_in_contribution_to_jacobian_and_mass_matrix().

◆ fill_in_contribution_to_jacobian_and_mass_matrix()

template<class ELEMENT >

void oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::fill_in_contribution_to_jacobian_and_mass_matrix	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian,
		DenseMatrix< double > &	mass_matrix
	)

inlinevirtual

Fill in contribution to Mass matrix and Jacobian. There is no contributiont to mass matrix so simply call the fill_in_contribution_to_jacobian term Note that the Jacobian is multiplied by minus one to ensure that the mass matrix is positive semi-definite.

Reimplemented from oomph::GeneralisedElement.

     {
       // Just call the jacobian calculation
       fill_in_contribution_to_jacobian(residuals, jacobian);
  
       // Multiply the residuals and jacobian by minus one
       const unsigned n_dof = this->ndof();
       for (unsigned i = 0; i < n_dof; i++)
       {
         residuals[i] *= -1.0;
         for (unsigned j = 0; j < n_dof; j++)
         {
           jacobian(i, j) *= -1.0;
         }
       }
     }

References oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::fill_in_contribution_to_jacobian(), i, j, and oomph::GeneralisedElement::ndof().

◆ fill_in_contribution_to_residuals()

template<class ELEMENT >

void oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::fill_in_contribution_to_residuals ( Vector< double > & residuals )

inlinevirtual

Fill in the residuals.

Reimplemented from oomph::GeneralisedElement.

Reimplemented in oomph::RefineableFSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >.

     {
       // Call the generic routine with the flag set to 0
       fill_in_generic_contribution_to_residuals_fsi_displ_lagr_multiplier(
         residuals, GeneralisedElement::Dummy_matrix, 0);
     }

References oomph::GeneralisedElement::Dummy_matrix, and oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::fill_in_generic_contribution_to_residuals_fsi_displ_lagr_multiplier().

◆ fill_in_generic_contribution_to_residuals_fsi_displ_lagr_multiplier()

template<class ELEMENT >

void oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::fill_in_generic_contribution_to_residuals_fsi_displ_lagr_multiplier	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian,
		const unsigned &	flag
	)

inlineprotected

Helper function to compute the residuals and, if flag==1, the Jacobian

     {
 #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(
           "FSIImposeDisplacementByLagrangeMultiplierElement cannot (currently) "
           "be used with elements that have generalised positional dofs",
           OOMPH_CURRENT_FUNCTION,
           OOMPH_EXCEPTION_LOCATION);
       }
 #endif
  
       // Find out how many nodes there are
       unsigned n_node = nnode();
  
       // Dimension of element
       unsigned dim_el = dim();
  
       // Set up memory for the shape functions
       Shape psi(n_node);
       DShape dpsids(n_node, dim_el);
  
       // 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 Eulerian coordinates and Lagrange multiplier
         Vector<double> x(dim_el + 1, 0.0);
         Vector<double> lambda(dim_el + 1, 0.0);
         Vector<double> zeta(dim_el, 0.0);
         DenseMatrix<double> interpolated_a(dim_el, dim_el + 1, 0.0);
  
         // Loop over nodes
         for (unsigned j = 0; j < n_node; j++)
         {
           Node* nod_pt = node_pt(j);
  
           // Cast to a boundary node
           BoundaryNodeBase* bnod_pt =
             dynamic_cast<BoundaryNodeBase*>(node_pt(j));
  
           // Get the index of the first nodal value associated with
           // this FaceElement
           unsigned first_index =
             bnod_pt->index_of_first_value_assigned_by_face_element(Id);
  
           // Assemble higher-dimensional quantities
           for (unsigned i = 0; i < dim_el + 1; i++)
           {
             x[i] += nodal_position(j, i) * psi(j);
             lambda[i] += nod_pt->value(first_index + i) * psi(j);
             for (unsigned ii = 0; ii < dim_el; ii++)
             {
               interpolated_a(ii, i) +=
                 lagrangian_position(j, i) * dpsids(j, ii);
             }
           }
         }
  
         // Now find the local undeformed metric tensor from the tangent Vectors
         DenseMatrix<double> a(dim_el);
         for (unsigned i = 0; i < dim_el; i++)
         {
           for (unsigned j = 0; j < dim_el; j++)
           {
             // Initialise surface metric tensor to zero
             a(i, j) = 0.0;
             // Take the dot product
             for (unsigned k = 0; k < dim_el + 1; k++)
             {
               a(i, j) += interpolated_a(i, k) * interpolated_a(j, k);
             }
           }
         }
  
  
         // Find the determinant of the metric tensor
         double adet = 0.0;
         switch (dim_el + 1)
         {
           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 "
               "fill_in_generic_contribution_to_residuals_displ_lagr_multiplier",
               "FSIImposeDisplacementByLagrangeMultiplierElement::fill_in_"
               "generic_contribution_to_residuals_fsi_displ_lagr_multiplier()",
               OOMPH_EXCEPTION_LOCATION);
         }
  
         // Get prescribed wall shape from adjacent bulk element
         Vector<double> r_prescribed(dim_el + 1);
  
         // Get the local coordinate in the solid element (copy
         // operation for Vector)
         Vector<double> s_adjacent(external_element_local_coord(0, ipt));
  
         // Get the position in the adjacent element
         FiniteElement* bulk_el_pt = external_element_pt(0, ipt);
         bulk_el_pt->interpolated_x(s_adjacent, r_prescribed);
  
         // Premultiply the weights and the square-root of the determinant of
         // the metric tensor
         double W = w * sqrt(adet);
  
         // Assemble residuals and jacobian
  
         // Loop over directions
         for (unsigned i = 0; i < dim_el + 1; i++)
         {
           // Loop over the nodes
           for (unsigned j = 0; j < n_node; j++)
           {
             // Assemble residual for Lagrange multiplier:
  
             // Cast to a boundary node
             BoundaryNodeBase* bnod_pt =
               dynamic_cast<BoundaryNodeBase*>(node_pt(j));
  
             // Local eqn number:
             int local_eqn = nodal_local_eqn(
               j,
               bnod_pt->index_of_first_value_assigned_by_face_element(Id) + i);
  
  
             if (local_eqn >= 0)
             {
               residuals[local_eqn] += (x[i] - r_prescribed[i]) * psi(j) * W;
  
               // Do Jacobian too?
               if (flag == 1)
               {
                 // Loop over the nodes again for unknowns (only diagonal
                 // contribution to direction!).
                 for (unsigned jj = 0; jj < n_node; jj++)
                 {
                   int local_unknown = position_local_eqn(jj, 0, i);
                   if (local_unknown >= 0)
                   {
                     jacobian(local_eqn, local_unknown) += psi(jj) * psi(j) * W;
                   }
                 }
               }
             }
  
  
             // Add Lagrange multiplier contribution to bulk equations
  
             // Local eqn number: Node, type, direction
             local_eqn = position_local_eqn(j, 0, i);
             if (local_eqn >= 0)
             {
               // Add to residual
               residuals[local_eqn] += lambda[i] * psi(j) * W;
  
               // Do Jacobian too?
               if (flag == 1)
               {
                 // Loop over the nodes again for unknowns (only diagonal
                 // contribution to direction!).
                 for (unsigned jj = 0; jj < n_node; jj++)
                 {
                   // Cast to a boundary node
                   BoundaryNodeBase* bnode_pt =
                     dynamic_cast<BoundaryNodeBase*>(node_pt(jj));
  
                   int local_unknown = nodal_local_eqn(
                     jj,
                     bnode_pt->index_of_first_value_assigned_by_face_element(
                       Id) +
                       i);
                   if (local_unknown >= 0)
                   {
                     jacobian(local_eqn, local_unknown) += psi(jj) * psi(j) * W;
                   }
                 }
               }
             }
           }
         }
  
  
       } // End of loop over the integration points
     }

References a, oomph::FiniteElement::dim(), oomph::FiniteElement::dshape_local_at_knot(), oomph::ElementWithExternalElement::external_element_local_coord(), oomph::ElementWithExternalElement::external_element_pt(), i, oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::Id, oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), oomph::FiniteElement::integral_pt(), oomph::FiniteElement::interpolated_x(), j, k, oomph::SolidFiniteElement::lagrangian_position(), lambda, oomph::FiniteElement::nnodal_position_type(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_local_eqn(), oomph::FiniteElement::nodal_position(), oomph::FiniteElement::node_pt(), oomph::Integral::nweight(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::SolidFiniteElement::position_local_eqn(), sqrt(), oomph::Node::value(), w, oomph::QuadTreeNames::W, oomph::Integral::weight(), plotDoE::x, and Eigen::zeta().

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

◆ get_dof_numbers_for_unknowns()

template<class ELEMENT >

void oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::get_dof_numbers_for_unknowns ( std::list< std::pair< unsigned long, unsigned >> & dof_lookup_list ) const

inlineprotectedvirtual

Create a list of pairs for all unknowns in this element, so that the first entry in each pair contains the global equation number of the unknown, while the second one contains the number of the dof that this unknown is associated with. (Function can obviously only be called if the equation numbering scheme has been set up.)

Reimplemented from oomph::GeneralisedElement.

     {
       // temporary pair (used to store dof lookup prior to being added to list)
       std::pair<unsigned, unsigned> dof_lookup;
  
       // number of nodes
       const unsigned n_node = this->nnode();
  
       // Loop over directions
       unsigned dim_el = this->dim();
       for (unsigned i = 0; i < dim_el + 1; i++)
       {
         // Loop over the nodes
         for (unsigned j = 0; j < n_node; j++)
         {
           // Cast to a boundary node
           BoundaryNodeBase* bnod_pt =
             dynamic_cast<BoundaryNodeBase*>(node_pt(j));
  
           // Local eqn number:
           int local_eqn = nodal_local_eqn(
             j, bnod_pt->index_of_first_value_assigned_by_face_element(Id) + i);
           if (local_eqn >= 0)
           {
             // store dof lookup in temporary pair: First entry in pair
             // is global equation number; second entry is dof type
             dof_lookup.first = this->eqn_number(local_eqn);
             dof_lookup.second = i;
  
             // add to list
             dof_lookup_list.push_front(dof_lookup);
           }
         }
       }
     }

References oomph::FiniteElement::dim(), oomph::GeneralisedElement::eqn_number(), i, oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::Id, oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), j, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_local_eqn(), and oomph::FiniteElement::node_pt().

◆ ndof_types()

template<class ELEMENT >

unsigned oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::ndof_types ( ) const

inlineprotectedvirtual

The number of "DOF types" that degrees of freedom in this element are sub-divided into: Just the solid degrees of freedom themselves.

Reimplemented from oomph::GeneralisedElement.

     {
       return this->dim() + 1;
     };

References oomph::FiniteElement::dim().

◆ output() [1/2]

template<class ELEMENT >

void oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::output ( std::ostream & outfile )

inlinevirtual

Output function.

Reimplemented from oomph::FiniteElement.

     {
       unsigned n_plot = 5;
       output(outfile, n_plot);
     }

References oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::output().

◆ output() [2/2]

template<class ELEMENT >

void oomph::FSIImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::output	(	std::ostream &	outfile,
		const unsigned &	n_plot
	)

inlinevirtual

Output function.

Reimplemented from oomph::FiniteElement.

     {
       // Elemental dimension
       unsigned dim_el = dim();
  
       // Find the number of positional types
       unsigned n_position_type = this->nnodal_position_type();
  
 #ifdef PARANOID
       if (n_position_type != 1)
       {
         throw OomphLibError(
           "FSIImposeDisplacementByLagrangeMultiplierElement cannot (currently) "
           "be used with elements that have generalised positional dofs",
           OOMPH_CURRENT_FUNCTION,
           OOMPH_EXCEPTION_LOCATION);
       }
 #endif
  
  
       // Local coord
       Vector<double> s(dim_el);
  
       // # of nodes,
       unsigned n_node = nnode();
       Shape psi(n_node, n_position_type);
  
       // Tecplot header info
       outfile << this->tecplot_zone_string(n_plot);
  
       // Loop over plot points
       unsigned num_plot_points = this->nplot_points(n_plot);
       for (unsigned iplot = 0; iplot < num_plot_points; iplot++)
       {
         // Get local coordinates of plot point
         this->get_s_plot(iplot, n_plot, s);
  
         // Get shape function
         shape(s, psi);
  
         // Calculate the Eulerian coordinates and Lagrange multiplier
         Vector<double> x(dim_el + 1, 0.0);
         Vector<double> lambda(dim_el + 1, 0.0);
         Vector<double> zeta(dim_el, 0.0);
         for (unsigned j = 0; j < n_node; j++)
         {
           // Cast to a boundary node
           BoundaryNodeBase* bnod_pt =
             dynamic_cast<BoundaryNodeBase*>(node_pt(j));
  
           // get the node pt
           Node* nod_pt = node_pt(j);
  
           // Get the index of the first nodal value associated with
           // this FaceElement
           unsigned first_index =
             bnod_pt->index_of_first_value_assigned_by_face_element(Id);
  
           // higher dimensional quantities
           for (unsigned i = 0; i < dim_el + 1; i++)
           {
             x[i] += nodal_position(j, i) * psi(j, 0); // need to sort
                                                       // this out properly
                                                       // for generalised dofs
             lambda[i] += nod_pt->value(first_index + i) * psi(j, 0);
           }
           // In-element quantities
           for (unsigned i = 0; i < dim_el; i++)
           {
             // Loop over positional types
             for (unsigned k = 0; k < n_position_type; k++)
             {
               zeta[i] += zeta_nodal(j, k, i) * psi(j, k);
             }
           }
         }
  
         // Output stuff
         for (unsigned i = 0; i < dim_el + 1; i++)
         {
           outfile << x[i] << " ";
         }
         for (unsigned i = 0; i < dim_el + 1; i++)
         {
           outfile << -lambda[i] << " ";
         }
         outfile << std::endl;
       }
     }