#include <beam_elements.h>

Inheritance diagram for oomph::FSIHermiteBeamElement:

Public Member Functions
	FSIHermiteBeamElement ()

	~FSIHermiteBeamElement ()
	Destructor: empty. More...

void	set_normal_pointing_into_fluid ()

void	set_normal_pointing_out_of_fluid ()

void	dposition_dlagrangian_at_local_coordinate (const Vector< double > &s, DenseMatrix< double > &drdxi) const

void	load_vector (const unsigned &intpt, const Vector< double > &xi, const Vector< double > &x, const Vector< double > &N, Vector< double > &load)

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

void	locate_zeta (const Vector< double > &zeta, GeomObject *&geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false)

unsigned	ndof_types () const

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

Public Member Functions inherited from oomph::HermiteBeamElement
	HermiteBeamElement ()
	Constructor (empty) More...

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

void	output (std::ostream &outfile, const unsigned &n_plot)
	Output function with specified number of plot points. More...

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

void	output (FILE *file_pt)
	C-style output function. More...

void	output (FILE *file_pt, const unsigned &n_plot)
	C-style output function with specified number of plot points. More...

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

Public Member Functions inherited from oomph::SolidQHermiteElement< 1 >
	SolidQHermiteElement ()
	Constructor. More...

	SolidQHermiteElement (const SolidQHermiteElement &dummy)=delete
	Broken copy constructor. More...

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

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

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

void	output (FILE *file_pt)
	C-style output. More...

void	output (FILE *file_pt, const unsigned &n_plot)
	C_style output at n_plot points. More...

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

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

void	output (std::ostream &outfile, const unsigned &n_p)
	The output function for any number of points per element. More...

void	output (FILE *file_pt, const unsigned &n_plot)
	The C-style output function for any number of points per element. More...

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

Public Member Functions inherited from oomph::QHermiteElement< DIM >
	QHermiteElement ()
	Constructor. More...

	QHermiteElement (const QHermiteElement &dummy)=delete
	Broken copy constructor. More...

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

bool	local_coord_is_valid (const Vector< double > &s)
	Check whether the local coordinate are valid or not. More...

void	move_local_coord_back_into_element (Vector< double > &s) const

void	shape (const Vector< double > &s, Shape &psi) const

void	dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const

void	d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const

double	invert_jacobian_mapping (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

void	transform_second_derivatives (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

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

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

void	local_coordinate_of_node (const unsigned &j, Vector< double > &s) const
	Get local coordinates of node j in the element; vector sets its own size. More...

void	local_fraction_of_node (const unsigned &j, Vector< double > &s_fraction)
	Get local fraction of node j in the element; vector sets its own size. More...

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

unsigned	nnode_1d () const
	Return number of nodes along each element edge. More...

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

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

unsigned	nplot_points (const unsigned &nplot) const

void	shape (const Vector< double > &s, Shape &psi) const
	Shape function for specific QHermiteElement<1> More...

void	dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const
	Derivatives of shape functions for specific QHermiteElement<1> More...

void	d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const

void	shape (const Vector< double > &s, Shape &psi) const
	Shape function for specific QHermiteElement<2> More...

void	dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const
	Derivatives of shape functions for specific QHermiteElement<2> More...

void	d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const

void	get_s_plot (const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &use_equally_spaced_interior_sample_points) const

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

unsigned	nplot_points (const unsigned &nplot) const

void	get_s_plot (const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &use_equally_spaced_interior_sample_points) const

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

unsigned	nplot_points (const unsigned &nplot) const

Public Member Functions inherited from oomph::QHermiteElementBase
	QHermiteElementBase ()
	Empty default constructor. More...

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

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

Public Member Functions inherited from oomph::QElementGeometricBase
	QElementGeometricBase ()
	Empty default constructor. More...

	QElementGeometricBase (const QElementGeometricBase &)=delete
	Broken copy constructor. 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...

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

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_at_knot (const unsigned &ipt, Shape &psi) const

virtual void	dshape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids) const

virtual void	d2shape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids, DShape &d2psids) const

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

virtual double	J_eulerian_at_knot (const unsigned &ipt) 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...

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...

virtual double	interpolated_x (const Vector< double > &s, const unsigned &i) const
	Return FE interpolated coordinate x[i] at local coordinate s. More...

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

virtual void	interpolated_x (const Vector< double > &s, Vector< double > &x) const
	Return FE interpolated position x[] at local coordinate s as Vector. More...

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

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

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

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)

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_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	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 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 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)

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

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

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

void	wall_profile (const Vector< double > &xi, const Vector< double > &x, double &h_ratio)

const double &	h () const
	Return the non-dimensional wall thickness. More...

const double &	lambda_sq () const
	Return the timescale ratio (non-dimensional density) More...

const double &	sigma0 () const
	Return the axial prestress. More...

double *&	sigma0_pt ()
	Return a pointer to axial prestress. More...

double *&	h_pt ()
	Return a pointer to non-dim. wall thickness. More...

double *&	lambda_sq_pt ()
	Return a pointer to timescale ratio (nondim density) More...

GeomObject *&	undeformed_beam_pt ()

void	get_normal (const Vector< double > &s, Vector< double > &N)
	Get normal vector on wall. More...

void	get_normal (const Vector< double > &s, Vector< double > &r, Vector< double > &N)
	Get position vector to and normal vector on wall. More...

void	get_non_unit_tangent (const Vector< double > &s, Vector< double > &r, Vector< double > &drds)
	Get position vector to and non-unit tangent vector on wall: dr/ds. More...

void	fill_in_contribution_to_residuals (Vector< double > &residuals)

void	fill_in_contribution_to_residuals_beam (Vector< double > &residuals)

void	get_energy (double &pot_en, double &kin_en)
	Get potential (strain) and kinetic energy of the element. More...

void	get_energy (double &stretch, double &bend, double &kin_en)

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

	FSIWallElement ()

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

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

virtual	~FSIWallElement ()
	Empty virtual destructor for safety. More...

void	setup_fsi_wall_element (const unsigned &nlagr_solid, const unsigned &ndim_fluid)

const double &	q () const

double *&	q_pt ()

void	enable_fluid_loading_on_both_sides ()

bool	only_front_is_loaded_by_fluid () const

void	exclude_external_load_data ()

void	include_external_load_data ()

void	disable_shear_stress_in_jacobian ()

void	enable_shear_stress_in_jacobian ()

void	node_update_adjacent_fluid_elements ()

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

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...

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

Private Attributes
bool	Normal_points_into_fluid

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)

Public Attributes inherited from oomph::KirchhoffLoveBeamEquations
void(*&)(const Vector< double > &xi, const Vector< double > &x, const Vector< double > &N, Vector< double > &load)	load_vector_fct_pt ()
	Reference to the load vector function pointer. More...

void(*&)(const Vector< double > &xi, const Vector< double > &x, double &h_ratio)	wall_profile_fct_pt ()
	Reference to the wall thickness ratio profile function pointer. More...

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 Public Attributes inherited from oomph::FSIWallElement
static bool	Dont_warn_about_missing_adjacent_fluid_elements = false
	Static flag that allows the suppression of warning messages. More...

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	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

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 ()

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	update_before_external_fd ()

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::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 ()

Protected Member Functions inherited from oomph::FSIWallElement
void	update_in_internal_fd (const unsigned &i)
	After an internal data change, update the nodal positions. More...

void	reset_in_internal_fd (const unsigned &i)

void	reset_after_internal_fd ()

void	update_in_external_fd (const unsigned &i)
	After an external data change, update the nodal positions. More...

void	reset_in_external_fd (const unsigned &i)

void	reset_after_external_fd ()

void	update_in_nodal_fd (const unsigned &i)
	After a nodal data change, update the nodal positions. More...

void	reset_in_nodal_fd (const unsigned &i)

void	reset_after_nodal_fd ()

void	update_in_external_interaction_field_fd (const unsigned &i)
	After an external field data change, update the nodal positions. More...

void	reset_in_external_interaction_field_fd (const unsigned &i)

void	reset_after_external_interaction_field_fd ()

void	update_in_external_interaction_geometric_fd (const unsigned &i)

void	reset_in_external_interaction_geometric_fd (const unsigned &i)

void	reset_after_external_interaction_geometric_fd ()

void	update_in_solid_position_fd (const unsigned &i)
	After an internal data change, update the nodal positions. More...

void	reset_in_solid_position_fd (const unsigned &i)

void	reset_after_solid_position_fd ()

void	fluid_load_vector (const unsigned &intpt, const Vector< double > &N, Vector< double > &load)

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	update_before_external_interaction_geometric_fd ()

Static Protected Member Functions inherited from oomph::KirchhoffLoveBeamEquations
static void	Zero_traction_fct (const Vector< double > &xi, const Vector< double > &x, const Vector< double > &N, Vector< double > &load)
	Default load function (zero traction) More...

static void	Unit_profile_fct (const Vector< double > &xi, const Vector< double > &x, double &h_ratio)
	Default profile function (constant thickness 'h_0') More...

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::KirchhoffLoveBeamEquations
void(*	Load_vector_fct_pt )(const Vector< double > &xi, const Vector< double > &x, const Vector< double > &N, Vector< double > &load)

void(*	Wall_profile_fct_pt )(const Vector< double > &xi, const Vector< double > &x, double &h_ratio)

GeomObject *	Undeformed_beam_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 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

Hermite Kirchhoff Love beam "upgraded" to a FSIWallElement (and thus, by inheritance, a GeomObject), so it can be used in FSI.

Constructor & Destructor Documentation

◆ FSIHermiteBeamElement()

oomph::FSIHermiteBeamElement::FSIHermiteBeamElement ( )

inline

Constructor: Create beam element as FSIWallElement (and thus, by inheritance, a GeomObject). By default, we assume that the normal vector computed by KirchhoffLoveBeamEquations::get_normal(...) points into the fluid. If this is not the case, overwrite this with the access function FSIHermiteBeamElement::set_normal_pointing_out_of_fluid()

       : HermiteBeamElement(), Normal_points_into_fluid(true)
     {
       unsigned n_lagr = 1;
       unsigned n_dim = 2;
       setup_fsi_wall_element(n_lagr, n_dim);
     }

References oomph::FSIWallElement::setup_fsi_wall_element().

◆ ~FSIHermiteBeamElement()

oomph::FSIHermiteBeamElement::~FSIHermiteBeamElement ( )

inline

Destructor: empty.

373 {}

Member Function Documentation

◆ dposition_dlagrangian_at_local_coordinate()

void oomph::FSIHermiteBeamElement::dposition_dlagrangian_at_local_coordinate	(	const Vector< double > &	s,
		DenseMatrix< double > &	drdxi
	)		const

Derivative of position vector w.r.t. the SolidFiniteElement's Lagrangian coordinates; evaluated at current time.

Define the dposition function. This is used to set no-slip boundary conditions in FSI problems.

   {
 #ifdef PARANOID
     if (Undeformed_beam_pt == 0)
     {
       throw OomphLibError(
         "Undeformed_beam_pt has not been set",
         "FSIHermiteBeamElement::dposition_dlagrangian_at_local_coordinate()",
         OOMPH_EXCEPTION_LOCATION);
     }
 #endif
  
     // Find the dimension of the global coordinate
     unsigned n_dim = Undeformed_beam_pt->ndim();
     // Find the number of lagrangian coordinates
     unsigned n_lagrangian = Undeformed_beam_pt->nlagrangian();
     // Find out how many nodes there are
     unsigned n_node = nnode();
     // Find out how many positional dofs there are
     unsigned n_position_type = this->nnodal_position_type();
  
     // Set up memory for the shape functions
     Shape psi(n_node, n_position_type);
     DShape dpsidxi(n_node, n_position_type, n_lagrangian);
  
     // Get the derivatives of the shape functions w.r.t local coordinates
     // at this point
     dshape_lagrangian(s, psi, dpsidxi);
  
     // Initialise the derivatives to zero
     drdxi.initialise(0.0);
  
     // Loop over the nodes
     for (unsigned l = 0; l < n_node; l++)
     {
       // Loop over the positional types
       for (unsigned k = 0; k < n_position_type; k++)
       {
         // Loop over the dimensions
         for (unsigned i = 0; i < n_dim; i++)
         {
           // Loop over the lagrangian coordinates
           for (unsigned j = 0; j < n_lagrangian; j++)
           {
             // Add the contribution to the derivative
             drdxi(j, i) += nodal_position_gen(l, k, i) * dpsidxi(l, k, j);
           }
         }
       }
     }
   }

References oomph::SolidFiniteElement::dshape_lagrangian(), i, oomph::DenseMatrix< T >::initialise(), j, k, oomph::GeomObject::ndim(), oomph::GeomObject::nlagrangian(), oomph::FiniteElement::nnodal_position_type(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_position_gen(), OOMPH_EXCEPTION_LOCATION, s, and oomph::KirchhoffLoveBeamEquations::Undeformed_beam_pt.

◆ fill_in_contribution_to_jacobian()

virtual void oomph::FSIHermiteBeamElement::fill_in_contribution_to_jacobian	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian
	)

inlinevirtual

Get the Jacobian and residuals. Wrapper to generic FSI version; that catches the case when we replace the Jacobian by the mass matrix (for the consistent assignment of initial conditions).

Reimplemented from oomph::KirchhoffLoveBeamEquations.

     {
       // Call the standard beam element's jacobian function
       HermiteBeamElement::fill_in_contribution_to_jacobian(residuals, jacobian);
       // Now add the external interaction data by finite differences
       this->fill_in_jacobian_from_external_interaction_by_fd(jacobian);
     }

References oomph::KirchhoffLoveBeamEquations::fill_in_contribution_to_jacobian(), and oomph::ElementWithExternalElement::fill_in_jacobian_from_external_interaction_by_fd().

◆ get_dof_numbers_for_unknowns()

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

virtual

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 type" that this unknown is associated with. (Function can obviously only be called if the equation numbering scheme has been set up.)

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 type" that this unknown is associated with. (Function can obviously only be called if the equation numbering scheme has been set up.) This element is only in charge of the solid dofs.

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();
  
     // Get the number of position dofs and dimensions at the node
     const unsigned n_position_type = nnodal_position_type();
     const unsigned nodal_dim = nodal_dimension();
  
     // Integer storage for local unknown
     int local_unknown = 0;
  
     // Loop over the nodes
     for (unsigned n = 0; n < n_node; n++)
     {
       // Loop over position dofs
       for (unsigned k = 0; k < n_position_type; k++)
       {
         // Loop over dimension
         for (unsigned i = 0; i < nodal_dim; i++)
         {
           // If the variable is free
           local_unknown = position_local_eqn(n, k, i);
  
           // ignore pinned values
           if (local_unknown >= 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_unknown);
             dof_lookup.second = 0;
  
             // add to list
             dof_lookup_list.push_front(dof_lookup);
           }
         }
       }
     }
   }

References oomph::GeneralisedElement::eqn_number(), i, k, n, oomph::FiniteElement::nnodal_position_type(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_dimension(), and oomph::SolidFiniteElement::position_local_eqn().

◆ load_vector()

void oomph::FSIHermiteBeamElement::load_vector	(	const unsigned &	intpt,
		const Vector< double > &	xi,
		const Vector< double > &	x,
		const Vector< double > &	N,
		Vector< double > &	load
	)

inlinevirtual

Get the load vector: Pass number of the integration point, Lagr. coordinate, Eulerian coordinate and normal vector and return the load vector. (Not all of the input arguments will be required for all specific load functions but the list should cover all cases). We first evaluate the load function defined via KirchhoffLoveBeamEquations::load_vector_fct_pt() – this represents the non-FSI load on the beam, e.g. an external pressure load. Then we add to this the FSI load due to the traction exerted by the adjacent FSIFluidElements, taking the sign of the normal into account.

Reimplemented from oomph::KirchhoffLoveBeamEquations.

     {
       // Initially call the standard Load_vector_fct_pt
       Load_vector_fct_pt(xi, x, N, load);
  
       // Memory for the FSI load
       Vector<double> fsi_load(2);
  
       // Get the fluid load on the wall stress scale
       fluid_load_vector(intpt, N, fsi_load);
  
       // If the normal is outer to the fluid switch the direction
       double sign = 1.0;
       if (!Normal_points_into_fluid)
       {
         sign = -1.0;
       }
  
       // Add the FSI load to the load vector
       for (unsigned i = 0; i < 2; i++)
       {
         load[i] += sign * fsi_load[i];
       }
     }

References oomph::FSIWallElement::fluid_load_vector(), i, load(), oomph::KirchhoffLoveBeamEquations::Load_vector_fct_pt, N, Normal_points_into_fluid, SYCL::sign(), and plotDoE::x.

◆ locate_zeta()

void oomph::FSIHermiteBeamElement::locate_zeta	(	const Vector< double > &	zeta,
		GeomObject *&	geom_object_pt,
		Vector< double > &	s,
		const bool &	use_coordinate_as_initial_guess = `false`
	)

virtual

Find the local coordinate s in this element that corresponds to the global "intrinsic" coordinate \( \zeta \) (here identical to the Lagrangian coordinate \( \xi \)). If the coordinate is contained within this element, the geom_object_pt points to "this" element; if the zeta coordinate is not contained in this element geom_object_pt=NULL. By default don't use any value passed in to the local coordinate s as the initial guess in the Newton method

//////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// Function used to find the local coordinate s that corresponds to the "global" intrinsic coordinate zeta (in the element's incarnation as a GeomObject). For this element, zeta is equal to the Lagrangian coordinate xi. If the required zeta is located within this element, geom_object_pt points to "this" element. If zeta is not located within the element it is set to NULL.

Reimplemented from oomph::GeomObject.

   {
     // Assumed that the first node has a lower xi coordinate than the second
     unsigned lo = 0, hi = 1;
  
     // If the first node has a higher xi then swap
     if (raw_lagrangian_position(0, 0) > raw_lagrangian_position(1, 0))
     {
       lo = 1;
       hi = 0;
     }
  
     // Tolerance for finding zeta
     double epsilon = 1.0e-13;
  
     // If zeta is not in the element, then return a null pointer
     // Correct for rounding errors here
     if ((zeta[0] - raw_lagrangian_position(lo, 0) < -epsilon) ||
         (zeta[0] - raw_lagrangian_position(hi, 0) > epsilon))
     {
       geom_object_pt = 0;
       return;
     }
  
     // Otherwise, zeta is located in this element. For now assume
     // that the relationship between zeta and s is linear as it will
     // be for uniform node spacing... We'll trap this further down.
     // In general we'll need a Newton method here and we'll implement
     // this as soon as we have an example with non-uniformly spaced
     // FSIHermiteBeamElements...
  
     // The GeomObject that contains the zeta coordinate is "this":
     geom_object_pt = this;
  
  
     // Find the fraction along the element
     double zeta_fraction =
       (zeta[0] - raw_lagrangian_position(lo, 0)) /
       (raw_lagrangian_position(hi, 0) - raw_lagrangian_position(lo, 0));
  
     s[0] = -1.0 + zeta_fraction * 2.0;
  
 #ifdef PARANOID
     // Check if we've really ended where we wanted to be...
     Vector<double> zeta_test(1);
     interpolated_zeta(s, zeta_test);
     if (std::fabs(zeta[0] - zeta_test[0]) > epsilon)
     {
       std::ostringstream error_stream;
       error_stream
         << "The zeta coordinate " << zeta_test[0] << " \n"
         << "computed by interpolated_zeta() for s[0]=" << s[0] << " \n"
         << "differs by more than the tolerance (" << epsilon << ") from \n "
         << "the required value " << zeta_test[0] << " \n\n"
         << "You're probably using a mesh with non-uniformly \n "
         << "spaced  FSIHermiteBeamElements. For such cases the root finding"
         << "in FSIHermiteBeamElement::locate_zeta() must be replaced "
         << "by a proper Newton method or some such thing...\n";
       OomphLibError(error_stream.str(),
                     "FSIHermiteBeamElement::locate_zeta()",
                     OOMPH_EXCEPTION_LOCATION);
     }
 #endif
  
  
     // Check for rounding error
     if (s[0] > 1.0)
     {
       s[0] = 1.0;
     }
     if (s[0] < -1.0)
     {
       s[0] = -1.0;
     }
   }

References oomph::SarahBL::epsilon, boost::multiprecision::fabs(), oomph::FiniteElement::interpolated_zeta(), OOMPH_EXCEPTION_LOCATION, oomph::SolidFiniteElement::raw_lagrangian_position(), s, and Eigen::zeta().

◆ ndof_types()

unsigned oomph::FSIHermiteBeamElement::ndof_types ( ) const

inlinevirtual

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 1;
     }

◆ set_normal_pointing_into_fluid()

void oomph::FSIHermiteBeamElement::set_normal_pointing_into_fluid ( )

inline

Set the normal computed by KirchhoffLoveBeamEquations::get_normal(...) to point into the fluid

     {
       Normal_points_into_fluid = true;
     }

References Normal_points_into_fluid.

◆ set_normal_pointing_out_of_fluid()

void oomph::FSIHermiteBeamElement::set_normal_pointing_out_of_fluid ( )

inline

Set the normal computed by KirchhoffLoveBeamEquations::get_normal(...) to point out of the fluid

     {
       Normal_points_into_fluid = false;
     }

References Normal_points_into_fluid.

Referenced by AirwayReopeningProblem< ELEMENT >::AirwayReopeningProblem(), FSIChannelWithLeafletProblem< ELEMENT >::FSIChannelWithLeafletProblem(), FSICollapsibleChannelProblem< ELEMENT >::FSICollapsibleChannelProblem(), and FSIDrivenCavityProblem< ELEMENT >::FSIDrivenCavityProblem().

Member Data Documentation

◆ Normal_points_into_fluid

bool oomph::FSIHermiteBeamElement::Normal_points_into_fluid

private

Referenced by load_vector(), set_normal_pointing_into_fluid(), and set_normal_pointing_out_of_fluid().

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

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ FSIHermiteBeamElement()

◆ ~FSIHermiteBeamElement()

Member Function Documentation

◆ dposition_dlagrangian_at_local_coordinate()

◆ fill_in_contribution_to_jacobian()

◆ get_dof_numbers_for_unknowns()

◆ load_vector()

◆ locate_zeta()

◆ ndof_types()

◆ set_normal_pointing_into_fluid()

◆ set_normal_pointing_out_of_fluid()

Member Data Documentation

◆ Normal_points_into_fluid