#include <axisym_fvk_elements.h>

Inheritance diagram for oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >:

Public Member Functions
	FSIAxisymFoepplvonKarmanElement ()
	Constructor. More...

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

const double &	q () const

double *&	q_pt ()

virtual unsigned	ngeom_data () const

virtual Data *	geom_data_pt (const unsigned &j)

void	position (const Vector< double > &zeta, Vector< double > &r) const

void	position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const

void	dposition_dt (const Vector< double > &zeta, const unsigned &j, Vector< double > &drdt)

virtual void	get_pressure_fvk (const unsigned &ipt, const double &r, double &pressure) const

void	output_integration_points (std::ostream &outfile)
	Output integration points (for checking of fsi setup) More...

void	output_adjacent_fluid_elements (std::ostream &outfile, const unsigned &nplot)
	Output adjacent fluid elements (for checking of fsi setup) More...

void	update_before_external_interaction_geometric_fd ()

void	reset_after_external_interaction_geometric_fd ()

void	update_in_external_interaction_geometric_fd (const unsigned &i)

void	reset_in_external_interaction_geometric_fd (const unsigned &i)

void	node_update_adjacent_fluid_elements ()

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

Public Member Functions inherited from oomph::AxisymFoepplvonKarmanElement< NNODE_1D >
	AxisymFoepplvonKarmanElement ()

	AxisymFoepplvonKarmanElement (const AxisymFoepplvonKarmanElement< NNODE_1D > &dummy)=delete
	Broken copy constructor. More...

void	operator= (const AxisymFoepplvonKarmanElement< NNODE_1D > &)=delete
	Broken assignment operator. More...

unsigned	required_nvalue (const unsigned &n) const

void	output (std::ostream &outfile)

void	output (FILE *file_pt)

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

void	output_fct (std::ostream &outfile, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)

void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)

	AxisymFoepplvonKarmanElement ()

	AxisymFoepplvonKarmanElement (const AxisymFoepplvonKarmanElement< NNODE_1D > &dummy)=delete
	Broken copy constructor. More...

void	operator= (const AxisymFoepplvonKarmanElement< NNODE_1D > &)=delete
	Broken assignment operator. More...

unsigned	required_nvalue (const unsigned &n) const

void	output (std::ostream &outfile)

void	output (FILE *file_pt)

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

void	output_fct (std::ostream &outfile, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)

void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)

Public Member Functions inherited from oomph::QElement< 1, NNODE_1D >
	QElement ()
	Constructor. More...

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

void	shape (const Vector< double > &s, Shape &psi) const
	Broken assignment operator. More...

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

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

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

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

unsigned	nvertex_node () const
	Number of vertex nodes in the element. More...

Node *	vertex_node_pt (const unsigned &j) const
	Pointer to the j-th vertex node in the element. 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 the local fraction of node j in the element. More...

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

Node *	get_node_at_local_coordinate (const Vector< double > &s) const
	Get the node at the specified local coordinate. More...

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

unsigned	nplot_points_paraview (const unsigned &nplot) const

unsigned	nsub_elements_paraview (const unsigned &nplot) const

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

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

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

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

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

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...

CoordinateMappingFctPt	face_to_bulk_coordinate_fct_pt (const int &face_index) const

BulkCoordinateDerivativesFctPt	bulk_coordinate_derivatives_fct_pt (const int &face_index) const

Public Member Functions inherited from oomph::LineElementBase
	LineElementBase ()
	Constructor. Empty. More...

Public Member Functions inherited from oomph::QElementBase
	QElementBase ()
	Constructor: Initialise pointers to macro element reference coords. More...

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

virtual	~QElementBase ()
	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

virtual void	set_macro_elem_pt (MacroElement *macro_elem_pt)

double &	s_macro_ll (const unsigned &i)

double &	s_macro_ur (const unsigned &i)

double	s_macro_ll (const unsigned &i) const

double	s_macro_ur (const unsigned &i) const

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

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

unsigned	nnode_on_face () const

ElementGeometry::ElementGeometry	element_geometry () const
	It's a Q element! 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	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

virtual void	assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt)

Node *&	node_pt (const unsigned &n)
	Return a pointer to the local node n. More...

Node *const &	node_pt (const unsigned &n) const
	Return a pointer to the local node n (const version) More...

unsigned	nnode () const
	Return the number of nodes. More...

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 ()

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 Node *	construct_node (const unsigned &n)

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

virtual Node *	construct_boundary_node (const unsigned &n)

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

int	get_node_number (Node *const &node_pt) const

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 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)

unsigned	ngeom_data () const

Data *	geom_data_pt (const unsigned &j)

void	position (const Vector< double > &zeta, Vector< double > &r) const

void	position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const

void	dposition_dt (const Vector< double > &zeta, const unsigned &t, Vector< double > &drdt)

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

void	interpolated_zeta (const Vector< double > &s, Vector< double > &zeta) const

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

virtual void	node_update ()

virtual void	identify_field_data_for_interactions (std::set< std::pair< Data *, unsigned >> &paired_field_data)

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

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)

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

virtual unsigned	nscalar_paraview () const

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

unsigned long	eqn_number (const unsigned &ieqn_local) const

int	local_eqn_number (const unsigned long &ieqn_global) const

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

bool	external_data_fd (const unsigned &i) const

void	exclude_external_data_fd (const unsigned &i)

void	include_external_data_fd (const unsigned &i)

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

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

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

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

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

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

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

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

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

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

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

virtual void	assign_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	complete_setup_of_dependencies ()

virtual void	get_residuals (Vector< double > &residuals)

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

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

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

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

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

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

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

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

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

virtual void	compute_norm (Vector< double > &norm)

virtual void	compute_norm (double &norm)

virtual unsigned	ndof_types () const

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

Public Member Functions inherited from oomph::GeomObject
	GeomObject ()
	Default constructor. More...

	GeomObject (const unsigned &ndim)

	GeomObject (const unsigned &nlagrangian, const unsigned &ndim)

	GeomObject (const unsigned &nlagrangian, const unsigned &ndim, TimeStepper *time_stepper_pt)

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

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

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

unsigned	nlagrangian () const
	Access function to # of Lagrangian coordinates. More...

unsigned	ndim () const
	Access function to # of Eulerian coordinates. More...

void	set_nlagrangian_and_ndim (const unsigned &n_lagrangian, const unsigned &n_dim)
	Set # of Lagrangian and Eulerian coordinates. More...

TimeStepper *&	time_stepper_pt ()

TimeStepper *	time_stepper_pt () const

virtual void	position (const double &t, const Vector< double > &zeta, Vector< double > &r) const

virtual void	dposition (const Vector< double > &zeta, DenseMatrix< double > &drdzeta) const

virtual void	d2position (const Vector< double > &zeta, RankThreeTensor< double > &ddrdzeta) const

virtual void	d2position (const Vector< double > &zeta, Vector< double > &r, DenseMatrix< double > &drdzeta, RankThreeTensor< double > &ddrdzeta) const

Public Member Functions inherited from oomph::AxisymFoepplvonKarmanEquations
	AxisymFoepplvonKarmanEquations ()

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

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

const double &	nu () const
	Poisson's ratio. More...

double *&	nu_pt ()
	Pointer to Poisson's ratio. More...

const double &	eta () const
	FvK parameter. More...

double *&	eta_pt ()
	Pointer to FvK parameter. More...

virtual unsigned	nodal_index_fvk (const unsigned &i=0) const

void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
	Get error against and norm of exact solution. More...

void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
	Dummy, time dependent error checker. More...

AxisymFoepplvonKarmanPressureFctPt &	pressure_fct_pt ()
	Access function: Pointer to pressure function. More...

AxisymFoepplvonKarmanPressureFctPt	pressure_fct_pt () const
	Access function: Pointer to pressure function. Const version. More...

void	get_gradient_of_deflection (const Vector< double > &s, Vector< double > &gradient) const
	Get gradient of deflection: gradient[i] = dw/dr_i *‍/. More...

void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Fill in the residuals with this element's contribution. More...

double	interpolated_w_fvk (const Vector< double > &s) const
	Return FE representation of transverse displacement. More...

double	interpolated_u_fvk (const Vector< double > &s) const
	Return FE representation of radial displacement. More...

bool	interpolated_stress (const Vector< double > &s, double &sigma_r_r, double &sigma_phi_phi) const

unsigned	self_test ()
	Self-test: Return 0 for OK. More...

void	use_linear_bending_model ()

	AxisymFoepplvonKarmanEquations ()

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

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

const double &	eta () const
	FvK parameter. More...

double *&	eta_pt ()
	Pointer to FvK parameter. More...

virtual unsigned	nodal_index_fvk (const unsigned &i=0) const

void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
	Get error against and norm of exact solution. More...

void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
	Dummy, time dependent error checker. More...

AxisymFoepplvonKarmanPressureFctPt &	pressure_fct_pt ()
	Access function: Pointer to pressure function. More...

AxisymFoepplvonKarmanPressureFctPt	pressure_fct_pt () const
	Access function: Pointer to pressure function. Const version. More...

AxisymFoepplvonKarmanPressureFctPt &	airy_forcing_fct_pt ()
	Access function: Pointer to Airy forcing function. More...

AxisymFoepplvonKarmanPressureFctPt	airy_forcing_fct_pt () const
	Access function: Pointer to Airy forcing function. Const version. More...

virtual void	get_airy_forcing_fvk (const unsigned &ipt, const double &r, double &airy_forcing) const

void	get_gradient_of_deflection (const Vector< double > &s, Vector< double > &gradient) const
	Get gradient of deflection: gradient[i] = dw/dr_i *‍/. More...

void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Fill in the residuals with this element's contribution. More...

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

bool	interpolated_stress (const Vector< double > &s, double &sigma_r_r, double &sigma_phi_phi)

unsigned	self_test ()
	Self-test: Return 0 for OK. More...

void	use_linear_bending_model ()

Public Member Functions inherited from oomph::ElementWithExternalElement
	ElementWithExternalElement ()

virtual	~ElementWithExternalElement ()
	The destructor, clean up any allocated memory. More...

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

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

bool	storage_has_been_allocated () const
	Helper function to check if storage has actually been allocated. More...

FiniteElement *&	external_element_pt (const unsigned &interaction_index, const unsigned &ipt)

FiniteElement *const &	external_element_pt (const unsigned &interaction_index, const unsigned &ipt) const
	Access function to source element, const version. More...

Vector< double > &	external_element_local_coord (const unsigned &interaction_index, const unsigned &ipt)

Vector< double > const &	external_element_local_coord (const unsigned &interaction_index, const unsigned &ipt) const
	Access function to get source element's coords, const version. More...

void	output_external_elements (std::ostream &outfile, const unsigned &interaction_index)

void	initialise_external_element_storage ()

void	flush_all_external_element_storage ()
	Flush the storage for external elements. More...

void	set_ninteraction (const unsigned &n_interaction)

unsigned	ninteraction () const
	Return the number of interactions in the element. More...

virtual void	identify_all_field_data_for_external_interaction (Vector< std::set< FiniteElement * >> const &external_elements_pt, std::set< std::pair< Data *, unsigned >> &paired_interaction_data)

virtual void	identify_all_geometric_data_for_external_interaction (Vector< std::set< FiniteElement * >> const &external_elements_pt, std::set< Data * > &external_geometric_data_pt)

unsigned	nexternal_interaction_field_data () const

Vector< Data * >	external_interaction_field_data_pt () const

unsigned	nexternal_interaction_geometric_data () const

bool	add_external_geometric_data ()
	Are we including external geometric data in the element's Jacobian. More...

bool	add_external_interaction_data ()
	Are we including external data in the element's Jacobian. More...

Vector< Data * >	external_interaction_geometric_data_pt () const

void	ignore_external_geometric_data ()

void	ignore_external_interaction_data ()

void	include_external_geometric_data ()

void	include_external_interaction_data ()

bool	external_geometric_data_is_included () const

void	describe_local_dofs (std::ostream &out, const std::string &curr_string) const

Protected Attributes
double *	Q_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::AxisymFoepplvonKarmanEquations
double *	Eta_pt
	Pointer to FvK parameter. More...

AxisymFoepplvonKarmanPressureFctPt	Pressure_fct_pt
	Pointer to pressure function: More...

double *	Nu_pt
	Pointer to Poisson's ratio. More...

bool	Linear_bending_model

AxisymFoepplvonKarmanPressureFctPt	Airy_forcing_fct_pt
	Pointer to Airy forcing function. More...

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::AxisymFoepplvonKarmanEquations
typedef void(*	AxisymFoepplvonKarmanPressureFctPt) (const double &r, double &f)

typedef void(*	AxisymFoepplvonKarmanPressureFctPt) (const double &r, double &f)

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

Protected Member Functions inherited from oomph::AxisymFoepplvonKarmanElement< NNODE_1D >
double	dshape_and_dtest_eulerian_axisym_fvk (const Vector< double > &s, Shape &psi, DShape &dpsidr, Shape &test, DShape &dtestdr) const

double	dshape_and_dtest_eulerian_at_knot_axisym_fvk (const unsigned &ipt, Shape &psi, DShape &dpsidr, Shape &test, DShape &dtestdr) const

double	dshape_and_dtest_eulerian_axisym_fvk (const Vector< double > &s, Shape &psi, DShape &dpsidr, Shape &test, DShape &dtestdr) const

double	dshape_and_dtest_eulerian_at_knot_axisym_fvk (const unsigned &ipt, Shape &psi, DShape &dpsidr, Shape &test, DShape &dtestdr) const

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

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)

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

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
	Zero-d specialisation of function to calculate inverse of jacobian mapping. More...

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
	One-d specialisation of function to calculate inverse of jacobian mapping. More...

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
	Two-d specialisation of function to calculate inverse of jacobian mapping. More...

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

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

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

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

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

Protected Member Functions inherited from oomph::GeneralisedElement
unsigned	add_internal_data (Data *const &data_pt, const bool &fd=true)

bool	internal_data_fd (const unsigned &i) const

void	exclude_internal_data_fd (const unsigned &i)

void	include_internal_data_fd (const unsigned &i)

void	clear_global_eqn_numbers ()

void	add_global_eqn_numbers (std::deque< unsigned long > const &global_eqn_numbers, std::deque< double * > const &global_dof_pt)

virtual void	assign_additional_local_eqn_numbers ()

int	internal_local_eqn (const unsigned &i, const unsigned &j) const

int	external_local_eqn (const unsigned &i, const unsigned &j)

void	fill_in_jacobian_from_internal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

void	fill_in_jacobian_from_internal_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

void	fill_in_jacobian_from_external_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

void	fill_in_jacobian_from_external_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

virtual void	update_before_internal_fd ()

virtual void	reset_after_internal_fd ()

virtual void	update_in_internal_fd (const unsigned &i)

virtual void	reset_in_internal_fd (const unsigned &i)

virtual void	update_before_external_fd ()

virtual void	reset_after_external_fd ()

virtual void	update_in_external_fd (const unsigned &i)

virtual void	reset_in_external_fd (const unsigned &i)

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

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

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

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

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

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

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

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

Protected Member Functions inherited from oomph::ElementWithExternalElement
void	assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)

void	assign_external_interaction_data_local_eqn_numbers (const bool &store_local_dof_pt)

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

void	fill_in_jacobian_from_external_interaction_by_fd (DenseMatrix< double > &jacobian)

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

void	fill_in_jacobian_from_external_interaction_field_by_fd (DenseMatrix< double > &jacobian)

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

void	fill_in_jacobian_from_external_interaction_geometric_by_fd (DenseMatrix< double > &jacobian)

void	fill_in_contribution_to_jacobian (Vector< double > &residuals, 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)

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<unsigned NNODE_1D, class FLUID_ELEMENT>
class oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >

//////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// FSI Axisym FoepplvonKarmanElement elements are 1D Foeppl von Karman elements with isoparametric interpolation for the function. Gets traction from adjacent fluid element(s) of type FLUID_ELEMENT.

Constructor & Destructor Documentation

◆ FSIAxisymFoepplvonKarmanElement()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::FSIAxisymFoepplvonKarmanElement ( )

inline

Constructor.

       : Q_pt(&AxisymFoepplvonKarmanEquations::Default_Physical_Constant_Value)
     {
       // Set source element storage: one interaction with an external
       // element -- the fluid bulk element that provides the pressure
       this->set_ninteraction(1);
     }

References oomph::ElementWithExternalElement::set_ninteraction().

◆ ~FSIAxisymFoepplvonKarmanElement()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

virtual oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::~FSIAxisymFoepplvonKarmanElement ( )

inlinevirtual

Empty virtual destructor.

572 {}

Member Function Documentation

◆ dposition_dt()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::dposition_dt	(	const Vector< double > &	zeta,
		const unsigned &	j,
		Vector< double > &	drdt
	)

inlinevirtual

j-th time-derivative on object at current time: \( \frac{d^{j} r(\zeta)}{dt^j} \).

Reimplemented from oomph::GeomObject.

     {
       // Find number of nodes
       const unsigned n_node = this->nnode();
  
       // Get the index at which the poisson unknown is stored
       const unsigned w_nodal_index = this->nodal_index_fvk(0);
  
       // Local shape function
       Shape psi(n_node);
  
       // Find values of shape function
       this->shape(zeta, psi);
  
       // Initialise
       double interpolated_dwdt = 0.0;
       double interpolated_drdt = 0.0;
  
       // Loop over the local nodes and sum
       for (unsigned l = 0; l < n_node; l++)
       {
         // Get the timestepper
         const TimeStepper* time_stepper_pt = node_pt(l)->time_stepper_pt();
  
         // If we are doing an unsteady solve then calculate the derivative
         if (!time_stepper_pt->is_steady())
         {
           // Get the number of values required to represent history
           const unsigned n_time = time_stepper_pt->ntstorage();
  
           // Loop over history values
           for (unsigned t = 0; t < n_time; t++)
           {
             // Add the contribution to the derivative
             interpolated_dwdt += time_stepper_pt->weight(1, t) *
                                  this->nodal_value(t, l, w_nodal_index) *
                                  psi[l];
           }
         }
       }
  
       // Assign
       drdt[0] = interpolated_drdt;
       drdt[1] = interpolated_dwdt;
     }

References oomph::TimeStepper::is_steady(), oomph::FiniteElement::nnode(), oomph::AxisymFoepplvonKarmanEquations::nodal_index_fvk(), oomph::FiniteElement::nodal_value(), oomph::FiniteElement::node_pt(), oomph::TimeStepper::ntstorage(), oomph::FiniteElement::shape(), plotPSD::t, oomph::GeomObject::time_stepper_pt(), oomph::Data::time_stepper_pt(), and oomph::TimeStepper::weight().

Referenced by oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::output().

◆ geom_data_pt()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

virtual Data* oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::geom_data_pt ( const unsigned & j )

inlinevirtual

Return pointer to the j-th Data item that the object's shape depends on.

Reimplemented from oomph::GeomObject.

     {
       return this->node_pt(j);
     }

References oomph::FiniteElement::node_pt().

◆ get_pressure_fvk()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

virtual void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::get_pressure_fvk	(	const unsigned &	ipt,
		const double &	r,
		double &	pressure
	)		const

inlinevirtual

Overload pressure term at (Eulerian) position r. Adds fluid traction to pressure imposed by "pressure fct pointer" (which can be regarded as applying an external (i.e. "on the other side" of the fluid) pressure

Reimplemented from oomph::AxisymFoepplvonKarmanEquations.

     {
       pressure = 0.0;
  
       // Get underlying version
       AxisymFoepplvonKarmanEquations::get_pressure_fvk(ipt, r, pressure);
  
       // Get FSI parameter
       const double q_value = q();
  
       // Get fluid element
       FLUID_ELEMENT* ext_el_pt =
         dynamic_cast<FLUID_ELEMENT*>(external_element_pt(0, ipt));
       Vector<double> s_ext(external_element_local_coord(0, ipt));
  
       // Outer unit normal is vertically upward (in z direction)
       // (within an essentiall flat) model for the wall)
       Vector<double> normal(2);
       normal[0] = 0.0;
       normal[1] = 1.0;
  
       // Get traction
       Vector<double> traction(3);
       ext_el_pt->traction(s_ext, normal, traction);
  
       // Add z-component of traction
       pressure -= q_value * traction[1];
     }

References oomph::ElementWithExternalElement::external_element_local_coord(), oomph::ElementWithExternalElement::external_element_pt(), FLUID_ELEMENT, oomph::AxisymFoepplvonKarmanEquations::get_pressure_fvk(), WallFunction::normal(), oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::q(), and UniformPSDSelfTest::r.

◆ ngeom_data()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

virtual unsigned oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::ngeom_data ( ) const

inlinevirtual

How many items of Data does the shape of the object depend on? All nodal data

Reimplemented from oomph::GeomObject.

     {
       return this->nnode();
     }

References oomph::FiniteElement::nnode().

◆ node_update_adjacent_fluid_elements()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::node_update_adjacent_fluid_elements ( )

inline

Update the nodal positions in all fluid elements that affect the traction on this element

     {
       // Don't update elements repeatedly
       std::map<FLUID_ELEMENT*, bool> done;
  
       // Number of integration points
       unsigned n_intpt = integral_pt()->nweight();
  
       // Loop over all integration points in wall element
       for (unsigned iint = 0; iint < n_intpt; iint++)
       {
         // Get fluid element that affects this integration point
         FLUID_ELEMENT* el_f_pt =
           dynamic_cast<FLUID_ELEMENT*>(external_element_pt(0, iint));
  
         // Is there an adjacent fluid element?
         if (el_f_pt != 0)
         {
           // Have we updated its positions yet?
           if (!done[el_f_pt])
           {
             // Update nodal positions
             el_f_pt->node_update();
             done[el_f_pt] = true;
           }
         }
       }
     }

References oomph::ElementWithExternalElement::external_element_pt(), FLUID_ELEMENT, oomph::FiniteElement::integral_pt(), and oomph::Integral::nweight().

Referenced by oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::reset_after_external_interaction_geometric_fd(), oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::reset_in_external_interaction_geometric_fd(), oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::update_before_external_interaction_geometric_fd(), and oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::update_in_external_interaction_geometric_fd().

◆ output()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::output	(	std::ostream &	outfile,
		const unsigned &	n_plot
	)

inlinevirtual

Output FE representation of soln: r,w,dwdt,sigma_r_r,sigma_phi_phi at n_plot plot points

Reimplemented from oomph::AxisymFoepplvonKarmanElement< NNODE_1D >.

     {
       // Vector of local coordinates
       Vector<double> s(1);
  
       // Tecplot header info
       outfile << "ZONE\n";
  
       // Loop over plot points
       unsigned num_plot_points = nplot_points(n_plot);
       for (unsigned iplot = 0; iplot < num_plot_points; iplot++)
       {
         // Get local coordinates of plot point
         get_s_plot(iplot, n_plot, s);
  
         // Get velocity
         Vector<double> drdt(2);
         dposition_dt(s, 1, drdt);
  
         // Get stress
         double sigma_r_r = 0.0;
         double sigma_phi_phi = 0.0;
         bool success = this->interpolated_stress(s, sigma_r_r, sigma_phi_phi);
         if (success)
         {
           outfile << this->interpolated_x(s, 0) << " "
                   << this->interpolated_w_fvk(s) << " " << drdt[0] << " "
                   << drdt[1] << " " << sigma_r_r << " " << sigma_phi_phi
                   << std::endl;
         }
       }
     }

References oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::dposition_dt(), oomph::FiniteElement::get_s_plot(), oomph::AxisymFoepplvonKarmanEquations::interpolated_stress(), oomph::AxisymFoepplvonKarmanEquations::interpolated_w_fvk(), oomph::FiniteElement::interpolated_x(), oomph::FiniteElement::nplot_points(), and s.

◆ output_adjacent_fluid_elements()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::output_adjacent_fluid_elements	(	std::ostream &	outfile,
		const unsigned &	nplot
	)

inline

Output adjacent fluid elements (for checking of fsi setup)

     {
       // Loop over the integration points
       const unsigned n_intpt = this->integral_pt()->nweight();
       for (unsigned ipt = 0; ipt < n_intpt; ipt++)
       {
         // Get fluid element
         FLUID_ELEMENT* ext_el_pt =
           dynamic_cast<FLUID_ELEMENT*>(external_element_pt(0, ipt));
  
         // Dump it
         ext_el_pt->output(outfile, nplot);
       }
     }

References oomph::ElementWithExternalElement::external_element_pt(), FLUID_ELEMENT, oomph::FiniteElement::integral_pt(), and oomph::Integral::nweight().

◆ output_integration_points()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::output_integration_points ( std::ostream & outfile )

inline

Output integration points (for checking of fsi setup)

     {
       // How many nodes do we have?
       unsigned nnod = this->nnode();
       Shape psi(nnod);
  
       // Get the index at which the unknown is stored
       const unsigned w_nodal_index = this->nodal_index_fvk(0);
  
       // Loop over the integration points
       const unsigned n_intpt = this->integral_pt()->nweight();
       outfile << "ZONE I=" << n_intpt << std::endl;
       for (unsigned ipt = 0; ipt < n_intpt; ipt++)
       {
         // Get shape fct
         Vector<double> s(1);
         s[0] = this->integral_pt()->knot(ipt, 0);
         shape(s, psi);
  
         // Initialise
         double interpolated_w = 0.0;
         double interpolated_r = 0.0;
  
         // Loop over the local nodes and sum
         for (unsigned l = 0; l < nnod; l++)
         {
           interpolated_w += this->nodal_value(l, w_nodal_index) * psi[l];
           interpolated_r += this->node_pt(l)->x(0) * psi[l];
         }
  
         // Get fluid element
         FLUID_ELEMENT* ext_el_pt =
           dynamic_cast<FLUID_ELEMENT*>(external_element_pt(0, ipt));
         Vector<double> s_ext(external_element_local_coord(0, ipt));
  
         // Get veloc
         Vector<double> veloc(3);
         ext_el_pt->interpolated_u_axi_nst(s_ext, veloc);
         Vector<double> x(2);
         ext_el_pt->interpolated_x(s_ext, x);
  
         outfile << interpolated_r << " " << interpolated_w << " " << veloc[0]
                 << " " << veloc[1] << " " << x[0] << " " << x[1] << " "
                 << std::endl;
       }
     }

References oomph::ElementWithExternalElement::external_element_local_coord(), oomph::ElementWithExternalElement::external_element_pt(), FLUID_ELEMENT, oomph::FiniteElement::integral_pt(), oomph::Integral::knot(), oomph::FiniteElement::nnode(), oomph::AxisymFoepplvonKarmanEquations::nodal_index_fvk(), oomph::FiniteElement::nodal_value(), oomph::FiniteElement::node_pt(), oomph::Integral::nweight(), s, oomph::FiniteElement::shape(), plotDoE::x, and oomph::Node::x().

◆ position() [1/2]

template<unsigned NNODE_1D, class FLUID_ELEMENT >

void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::position	(	const unsigned &	t,
		const Vector< double > &	zeta,
		Vector< double > &	r
	)		const

inlinevirtual

Overloaded position function: Return 2D position vector: (r(zeta),z(zeta)) of material point whose "Lagrangian coordinate" is given by zeta.

Reimplemented from oomph::GeomObject.

     {
       // Find number of nodes
       const unsigned n_node = this->nnode();
  
       // Get the index at which the poisson unknown is stored
       const unsigned w_nodal_index = this->nodal_index_fvk(0);
  
       // Local shape function
       Shape psi(n_node);
  
       // Find values of shape function
       this->shape(zeta, psi);
  
       // Initialise
       double interpolated_w = 0.0;
       double interpolated_r = 0.0;
  
       // Loop over the local nodes and sum
       for (unsigned l = 0; l < n_node; l++)
       {
         interpolated_w += this->nodal_value(t, l, w_nodal_index) * psi[l];
         interpolated_r += this->node_pt(l)->x(t, 0) * psi[l];
       }
  
       // Assign
       r[0] = interpolated_r;
       r[1] = interpolated_w;
     }

References oomph::FiniteElement::nnode(), oomph::AxisymFoepplvonKarmanEquations::nodal_index_fvk(), oomph::FiniteElement::nodal_value(), oomph::FiniteElement::node_pt(), UniformPSDSelfTest::r, oomph::FiniteElement::shape(), plotPSD::t, and oomph::Node::x().

◆ position() [2/2]

template<unsigned NNODE_1D, class FLUID_ELEMENT >

void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::position	(	const Vector< double > &	zeta,
		Vector< double > &	r
	)		const

inlinevirtual

Overloaded position function: Return 2D position vector: (r(zeta),z(zeta)) of material point whose "Lagrangian coordinate" is given by zeta. Here r=zeta!

Implements oomph::GeomObject.

     {
       const unsigned t = 0;
       this->position(t, zeta, r);
     }

References UniformPSDSelfTest::r, plotPSD::t, and Eigen::zeta().

◆ q()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

const double& oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::q ( ) const

inline

Return the ratio of the stress scales used to non-dimensionalise the fluid and elasticity equations.

     {
       return *Q_pt;
     }

References oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::Q_pt.

Referenced by oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::get_pressure_fvk().

◆ q_pt()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

double*& oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::q_pt ( )

inline

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

     {
       return Q_pt;
     }

References oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::Q_pt.

◆ reset_after_external_interaction_geometric_fd()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::reset_after_external_interaction_geometric_fd ( )

inlinevirtual

Perform any auxiliary node update fcts of the adjacent fluid elements

Reimplemented from oomph::ElementWithExternalElement.

     {
       node_update_adjacent_fluid_elements();
     }

References oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::node_update_adjacent_fluid_elements().

◆ reset_in_external_interaction_geometric_fd()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::reset_in_external_interaction_geometric_fd ( const unsigned & i )

inlinevirtual

Perform any auxiliary node update fcts of the adjacent fluid elements

Reimplemented from oomph::ElementWithExternalElement.

     {
       node_update_adjacent_fluid_elements();
     }

References oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::node_update_adjacent_fluid_elements().

◆ update_before_external_interaction_geometric_fd()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::update_before_external_interaction_geometric_fd ( )

inlinevirtual

Perform any auxiliary node update fcts of the adjacent fluid elements

Reimplemented from oomph::ElementWithExternalElement.

     {
       node_update_adjacent_fluid_elements();
     }

References oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::node_update_adjacent_fluid_elements().

◆ update_in_external_interaction_geometric_fd()

template<unsigned NNODE_1D, class FLUID_ELEMENT >

void oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::update_in_external_interaction_geometric_fd ( const unsigned & i )

inlinevirtual

Perform any auxiliary node update fcts of the adjacent fluid elements

Reimplemented from oomph::ElementWithExternalElement.

     {
       node_update_adjacent_fluid_elements();
     }

References oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::node_update_adjacent_fluid_elements().

Member Data Documentation

◆ Q_pt

template<unsigned NNODE_1D, class FLUID_ELEMENT >

double* oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::Q_pt

protected

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

Referenced by oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::q(), and oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >::q_pt().

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

axisym_fvk_elements.h

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

template<unsigned NNODE_1D, class FLUID_ELEMENT> class oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >

Constructor & Destructor Documentation

◆ FSIAxisymFoepplvonKarmanElement()

◆ ~FSIAxisymFoepplvonKarmanElement()

Member Function Documentation

◆ dposition_dt()

◆ geom_data_pt()

◆ get_pressure_fvk()

◆ ngeom_data()

◆ node_update_adjacent_fluid_elements()

◆ output()

◆ output_adjacent_fluid_elements()

◆ output_integration_points()

◆ position() [1/2]

◆ position() [2/2]

◆ q()

◆ q_pt()

◆ reset_after_external_interaction_geometric_fd()

◆ reset_in_external_interaction_geometric_fd()

◆ update_before_external_interaction_geometric_fd()

◆ update_in_external_interaction_geometric_fd()

Member Data Documentation

◆ Q_pt

template<unsigned NNODE_1D, class FLUID_ELEMENT>
class oomph::FSIAxisymFoepplvonKarmanElement< NNODE_1D, FLUID_ELEMENT >