#include <interface_elements.h>

Inheritance diagram for oomph::FluidInterfaceElement:

Public Member Functions
	FluidInterfaceElement ()
	Constructor, set the default values of the booleans and pointers (null) More...

virtual double	sigma (const Vector< double > &s_local)

void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Calculate the residuals by calling the generic residual contribution. More...

const double &	ca () const
	The value of the Capillary number. More...

double *&	ca_pt ()
	Pointer to the Capillary number. More...

const double &	st () const
	The value of the Strouhal number. More...

double *&	st_pt ()
	The pointer to the Strouhal number. More...

double	u (const unsigned &j, const unsigned &i)
	Return the i-th velocity component at local node j. More...

double	interpolated_u (const Vector< double > &s, const unsigned &i)
	Calculate the i-th velocity component at the local coordinate s. More...

double	pext () const
	Return the value of the external pressure. More...

void	set_external_pressure_data (Data *external_pressure_data_pt)

void	set_external_pressure_data (Data *external_pressure_data_pt, const unsigned &index_of_external_pressure_value)

virtual FluidInterfaceBoundingElement *	make_bounding_element (const int &face_index)

virtual void	hijack_kinematic_conditions (const Vector< unsigned > &bulk_node_number)=0

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

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

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

void	output (FILE *file_pt, const unsigned &n_plot)
	C-style Output function. More...

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

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

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

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

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

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

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

double	J_eulerian_at_knot (const unsigned &ipt) const

void	check_J_eulerian_at_knots (bool &passed) const

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

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

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

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

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

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

int &	normal_sign ()

int	normal_sign () const

int &	face_index ()

int	face_index () const

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

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

void	turn_on_warning_for_discontinuous_tangent ()

void	turn_off_warning_for_discontinuous_tangent ()

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

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

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

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

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

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

CoordinateMappingFctPt &	face_to_bulk_coordinate_fct_pt ()

CoordinateMappingFctPt	face_to_bulk_coordinate_fct_pt () const

BulkCoordinateDerivativesFctPt &	bulk_coordinate_derivatives_fct_pt ()

BulkCoordinateDerivativesFctPt	bulk_coordinate_derivatives_fct_pt () const

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

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

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

unsigned &	bulk_position_type (const unsigned &i)

const unsigned &	bulk_position_type (const unsigned &i) const

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

unsigned &	bulk_node_number (const unsigned &n)

const unsigned &	bulk_node_number (const unsigned &n) const

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

unsigned &	nbulk_value (const unsigned &n)

unsigned	nbulk_value (const unsigned &n) const

void	nbulk_value_resize (const unsigned &i)

void	resize_nodes (Vector< unsigned > &nadditional_data_values)

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

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

void	set_nodal_dimension (const unsigned &nodal_dim)

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

void	set_n_node (const unsigned &n)

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

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

	FiniteElement ()
	Constructor. More...

virtual	~FiniteElement ()

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

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

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

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

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

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

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

virtual void	set_macro_elem_pt (MacroElement *macro_elem_pt)

MacroElement *	macro_elem_pt ()
	Access function to pointer to macro element. More...

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

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

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

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

virtual void	set_integration_scheme (Integral *const &integral_pt)
	Set the spatial integration scheme. More...

Integral *const &	integral_pt () const
	Return the pointer to the integration scheme (const version) More...

virtual void	shape (const Vector< double > &s, Shape &psi) const =0

virtual void	shape_at_knot (const unsigned &ipt, Shape &psi) const

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

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

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

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

void	check_J_eulerian_at_knots (bool &passed) const

void	check_jacobian (const double &jacobian) const

double	dshape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx) const

virtual double	dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx) const

virtual double	dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsi, DenseMatrix< double > &djacobian_dX, RankFourTensor< double > &d_dpsidx_dX) const

double	d2shape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx, DShape &d2psidx) const

virtual double	d2shape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx, DShape &d2psidx) const

virtual void	assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt)

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

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

virtual void	assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt)

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

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

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

virtual unsigned	nnode_1d () const

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

double	raw_nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const

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

double	raw_dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const

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

double	raw_nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const

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

double	raw_dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const

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

double	nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const

double	dnodal_position_dt (const unsigned &n, const unsigned &i) const
	Return the i-th component of nodal velocity: dx/dt at local node n. More...

double	dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const

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

double	nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const

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

double	dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const

virtual void	get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)

virtual void	disable_ALE ()

virtual void	enable_ALE ()

virtual unsigned	required_nvalue (const unsigned &n) const

unsigned	nnodal_position_type () const

bool	has_hanging_nodes () const

unsigned	nodal_dimension () const
	Return the required Eulerian dimension of the nodes in this element. More...

virtual unsigned	nvertex_node () const

virtual Node *	vertex_node_pt (const unsigned &j) const

virtual Node *	construct_node (const unsigned &n)

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

virtual Node *	construct_boundary_node (const unsigned &n)

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

int	get_node_number (Node *const &node_pt) const

virtual Node *	get_node_at_local_coordinate (const Vector< double > &s) const

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

double	raw_nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const

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

double	nodal_value (const unsigned &t, const unsigned &n, const unsigned &i) const

unsigned	dim () const

virtual ElementGeometry::ElementGeometry	element_geometry () const
	Return the geometry type of the element (either Q or T usually). More...

unsigned	ngeom_data () const

Data *	geom_data_pt (const unsigned &j)

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

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

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

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

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

virtual void	node_update ()

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

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

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

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

double	size () const

virtual double	compute_physical_size () const

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

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

virtual unsigned	nplot_points_paraview (const unsigned &nplot) const

virtual unsigned	nsub_elements_paraview (const unsigned &nplot) const

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

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

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

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

virtual unsigned	nscalar_paraview () const

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

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

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

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

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

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

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

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

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

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

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

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

virtual unsigned	nplot_points (const unsigned &nplot) const

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

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

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

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

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

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

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

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

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

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

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

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

virtual unsigned	self_test ()

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

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

virtual unsigned	nnode_on_face () const

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

virtual CoordinateMappingFctPt	face_to_bulk_coordinate_fct_pt (const int &face_index) const

virtual BulkCoordinateDerivativesFctPt	bulk_coordinate_derivatives_fct_pt (const int &face_index) const

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

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

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

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

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

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

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

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

unsigned long	eqn_number (const unsigned &ieqn_local) const

int	local_eqn_number (const unsigned long &ieqn_global) const

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

bool	external_data_fd (const unsigned &i) const

void	exclude_external_data_fd (const unsigned &i)

void	include_external_data_fd (const unsigned &i)

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

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

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

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

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

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

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

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

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

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

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

virtual void	assign_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	complete_setup_of_dependencies ()

virtual void	get_residuals (Vector< double > &residuals)

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

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

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

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

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

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

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

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

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

virtual void	compute_norm (Vector< double > &norm)

virtual void	compute_norm (double &norm)

virtual unsigned	ndof_types () const

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

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

	GeomObject (const unsigned &ndim)

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

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

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

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

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

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

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

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

TimeStepper *&	time_stepper_pt ()

TimeStepper *	time_stepper_pt () const

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

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

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

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

Protected Member Functions
virtual int	kinematic_local_eqn (const unsigned &n)=0

int	pext_local_eqn ()

virtual void	fill_in_generic_residual_contribution_interface (Vector< double > &residuals, DenseMatrix< double > &jacobian, unsigned flag)

virtual double	compute_surface_derivatives (const Shape &psi, const DShape &dpsids, const DenseMatrix< double > &interpolated_t, const Vector< double > &interpolated_x, DShape &dpsidS, DShape &dpsidS_div)=0

virtual void	add_additional_residual_contributions_interface (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag, const Shape &psif, const DShape &dpsifds, const DShape &dpsifdS, const DShape &dpsifdS_div, const Vector< double > &s, const Vector< double > &interpolated_x, const Vector< double > &interpolated_n, const double &W, const double &J)

Protected Member Functions inherited from oomph::FaceElement
void	add_additional_values (const Vector< unsigned > &nadditional_values, const unsigned &id)

Protected Member Functions inherited from oomph::FiniteElement
virtual void	assemble_local_to_eulerian_jacobian (const DShape &dpsids, DenseMatrix< double > &jacobian) const

virtual void	assemble_local_to_eulerian_jacobian2 (const DShape &d2psids, DenseMatrix< double > &jacobian2) const

virtual void	assemble_eulerian_base_vectors (const DShape &dpsids, DenseMatrix< double > &interpolated_G) const

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

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

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

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

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

virtual void	dJ_eulerian_dnodal_coordinates (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

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

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

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

virtual void	transform_derivatives (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const

void	transform_derivatives_diagonal (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const

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

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

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

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

void	fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_nodal_fd ()

virtual void	reset_after_nodal_fd ()

virtual void	update_in_nodal_fd (const unsigned &i)

virtual void	reset_in_nodal_fd (const unsigned &i)

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_internal_and_external_local_eqn_numbers (const bool &store_local_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 Attributes
Vector< unsigned >	U_index_interface
	Nodal index at which the i-th velocity component is stored. More...

int	External_data_number_of_external_pressure

Data *	Pext_data_pt
	Pointer to the Data item that stores the external pressure. More...

unsigned	Index_of_external_pressure_value
	Which of the values in Pext_data_pt stores the external pressure. More...

Protected Attributes inherited from oomph::FaceElement
unsigned	Boundary_number_in_bulk_mesh
	The boundary number in the bulk mesh to which this element is attached. More...

FiniteElement *	Bulk_element_pt
	Pointer to the associated higher-dimensional "bulk" element. More...

Vector< unsigned >	Bulk_node_number

Vector< unsigned >	Nbulk_value

Vector< double > *	Tangent_direction_pt

Protected Attributes inherited from oomph::FiniteElement
MacroElement *	Macro_elem_pt
	Pointer to the element's macro element (NULL by default) More...

Protected Attributes inherited from oomph::GeomObject
unsigned	NLagrangian
	Number of Lagrangian (intrinsic) coordinates. More...

unsigned	Ndim
	Number of Eulerian coordinates. More...

TimeStepper *	Geom_object_time_stepper_pt

Private Attributes
double *	Ca_pt
	Pointer to the Capillary number. More...

double *	St_pt
	Pointer to the Strouhal number. More...

Static Private Attributes
static double	Default_Physical_Constant_Value = 1.0
	Default value for physical constants. More...

Friends
class	FluidInterfaceBoundingElement

Additional Inherited Members
Public Types inherited from oomph::FiniteElement
typedef void(*	SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &)

typedef void(*	UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &)

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

static bool	Accept_negative_jacobian = false

static bool	Suppress_output_while_checking_for_inverted_elements

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

static bool	Suppress_warning_about_repeated_external_data = true

static double	Default_fd_jacobian_step = 1.0e-8

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

Base class establishing common interfaces and functions for all Navier-Stokes-like fluid interface elements. Namely, elements that represent either a free surface or an interface between two fluids that have distinct momentum-like equation for each velocity component.

Constructor & Destructor Documentation

◆ FluidInterfaceElement()

oomph::FluidInterfaceElement::FluidInterfaceElement ( )

inline

Constructor, set the default values of the booleans and pointers (null)

                             : Pext_data_pt(0)
     {
       // Initialise pointer to capillary number
       Ca_pt = 0;
  
       // Set the Strouhal number to the default value
       St_pt = &Default_Physical_Constant_Value;
     }

References Ca_pt, Default_Physical_Constant_Value, and St_pt.

Member Function Documentation

◆ add_additional_residual_contributions_interface()

virtual void oomph::FluidInterfaceElement::add_additional_residual_contributions_interface	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian,
		const unsigned &	flag,
		const Shape &	psif,
		const DShape &	dpsifds,
		const DShape &	dpsifdS,
		const DShape &	dpsifdS_div,
		const Vector< double > &	s,
		const Vector< double > &	interpolated_x,
		const Vector< double > &	interpolated_n,
		const double &	W,
		const double &	J
	)

inlineprotectedvirtual

Helper function to calculate the additional contributions to the resisuals and Jacobian that arise from specific node update strategies. This is called within the integration loop over the element (for efficiency) and therefore requires a fairly large number of input parameters:

the velocity shape functions and their derivatives w.r.t. the local coordinates
the surface gradient and divergence of the velocity shape functions
The local and Eulerian coordinates,
the outer unit normal,
the integration weight from the integration scheme
the Jacobian of the mapping between the local and global coordinates along the element. (Note that in the axisymmmetric case this includes the r term)!

439 {

440 }

Referenced by fill_in_generic_residual_contribution_interface().

◆ ca()

const double& oomph::FluidInterfaceElement::ca ( ) const

inline

The value of the Capillary number.

     {
 #ifdef PARANOID
       if (Ca_pt != 0)
       {
 #endif
         return *Ca_pt;
 #ifdef PARANOID
       }
       else
       {
         throw OomphLibError("Capillary number has not been set",
                             "FluidInterfaceElement::ca()",
                             OOMPH_EXCEPTION_LOCATION);
       }
 #endif
     }

References Ca_pt, and OOMPH_EXCEPTION_LOCATION.

Referenced by oomph::SurfactantTransportInterfaceElement::add_additional_residual_contributions_interface(), and fill_in_generic_residual_contribution_interface().

◆ ca_pt()

double*& oomph::FluidInterfaceElement::ca_pt ( )

inline

Pointer to the Capillary number.

     {
       return Ca_pt;
     }

References Ca_pt.

◆ compute_surface_derivatives()

virtual double oomph::FluidInterfaceElement::compute_surface_derivatives	(	const Shape &	psi,
		const DShape &	dpsids,
		const DenseMatrix< double > &	interpolated_t,
		const Vector< double > &	interpolated_x,
		DShape &	dpsidS,
		DShape &	dpsidS_div
	)

protectedpure virtual

Compute the surface gradient and surface divergence operators given the shape functions, derivatives, tangent vectors and position. All derivatives and tangent vectors should be formed with respect to the local coordinates.

Return the jacobian of the surface, as well as the dpsidS, and dpsidS_div objects.

This is the only function that needs to be overloaded to specify different geometries.

In order to compute the surface gradient of a scalar function one needs only compute the sum over the nodes of dpsidS(l,i) * nodal_value(l,scalar_index) To compute the surface divergence of a vector quantity one computes a sum over nodes and coordinate directions dpsidS_div(l,i) * nodal_value(l,vector_index[i]) In Cartesian cordinates the two surface derivatives are the same, but in Axisymmetric coordinates they are not!

Implemented in oomph::ElasticUpdateFluidInterfaceElement< FluidInterfaceElement, SurfaceDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< FluidInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< FluidInterfaceElement, LineDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, SurfaceDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, SurfaceDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, and oomph::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, LineDerivatives, ELEMENT >.

Referenced by fill_in_generic_residual_contribution_interface(), and oomph::SurfactantTransportInterfaceElement::integrate_c().

◆ fill_in_contribution_to_residuals()

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

inlinevirtual

Calculate the residuals by calling the generic residual contribution.

Reimplemented from oomph::GeneralisedElement.

     {
       // Add the residual contributions
       fill_in_generic_residual_contribution_interface(
         residuals, GeneralisedElement::Dummy_matrix, 0);
     }

References oomph::GeneralisedElement::Dummy_matrix, and fill_in_generic_residual_contribution_interface().

◆ fill_in_generic_residual_contribution_interface()

void oomph::FluidInterfaceElement::fill_in_generic_residual_contribution_interface	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian,
		unsigned	flag
	)

protectedvirtual

Helper function to calculate the residuals and (if flag==1) the Jacobian of the equations. This is implemented generically using the surface divergence information that is overloaded in each element i.e. axisymmetric, two- or three-dimensional.

Calculate the contribution to the residuals from the interface implemented generically with geometric information to be added from the specific elements

   {
     // Find out how many nodes there are
     unsigned n_node = this->nnode();
  
     // Set up memeory for the shape functions
     Shape psif(n_node);
  
     // Find out the number of surface coordinates
     const unsigned el_dim = this->dim();
     // We have el_dim local surface coordinates
     DShape dpsifds(n_node, el_dim);
  
     // Find the dimension of the problem
     // Note that this will return 2 for the axisymmetric case
     // which is correct in the sense that no
     // terms will be added in the azimuthal direction
     const unsigned n_dim = this->nodal_dimension();
  
     // Storage for the surface gradient
     // and divergence terms
     // These will actually be identical
     // apart from in the axisymmetric case
     DShape dpsifdS(n_node, n_dim);
     DShape dpsifdS_div(n_node, n_dim);
  
     // Set the value of n_intpt
     unsigned n_intpt = this->integral_pt()->nweight();
  
     // Get the value of the Capillary number
     double Ca = ca();
  
     // Get the value of the Strouhal numer
     double St = st();
  
     // Get the value of the external pressure
     double p_ext = pext();
  
     // Integers used to hold the local equation numbers and local unknowns
     int local_eqn = 0, local_unknown = 0;
  
     // Storage for the local coordinate
     Vector<double> s(el_dim);
  
     // Loop over the integration points
     for (unsigned ipt = 0; ipt < n_intpt; ipt++)
     {
       // Get the value of the local coordiantes at the integration point
       for (unsigned i = 0; i < el_dim; i++)
       {
         s[i] = this->integral_pt()->knot(ipt, i);
       }
  
       // Get the integral weight
       double W = this->integral_pt()->weight(ipt);
  
       // Call the derivatives of the shape function
       this->dshape_local_at_knot(ipt, psif, dpsifds);
  
       // Define and zero the tangent Vectors and local velocities
       Vector<double> interpolated_x(n_dim, 0.0);
       Vector<double> interpolated_u(n_dim, 0.0);
       Vector<double> interpolated_dx_dt(n_dim, 0.0);
       ;
       DenseMatrix<double> interpolated_t(el_dim, n_dim, 0.0);
  
       // Loop over the shape functions
       for (unsigned l = 0; l < n_node; l++)
       {
         const double psi_ = psif(l);
         // Loop over directional components
         for (unsigned i = 0; i < n_dim; i++)
         {
           // Coordinate
           interpolated_x[i] += this->nodal_position(l, i) * psi_;
  
           // Calculate velocity of mesh
           interpolated_dx_dt[i] += this->dnodal_position_dt(l, i) * psi_;
  
           // Calculate the tangent vectors
           for (unsigned j = 0; j < el_dim; j++)
           {
             interpolated_t(j, i) += this->nodal_position(l, i) * dpsifds(l, j);
           }
  
           // Calculate velocity and tangent vector
           interpolated_u[i] += u(l, i) * psi_;
         }
       }
  
  
       // Calculate the surface gradient and divergence
       double J = this->compute_surface_derivatives(
         psif, dpsifds, interpolated_t, interpolated_x, dpsifdS, dpsifdS_div);
       // Get the normal vector
       //(ALH: This could be more efficient because
       // there is some recomputation of shape functions here)
       Vector<double> interpolated_n(n_dim);
       this->outer_unit_normal(s, interpolated_n);
  
       // Now also get the (possible variable) surface tension
       double Sigma = this->sigma(s);
  
       // Loop over the shape functions
       for (unsigned l = 0; l < n_node; l++)
       {
         // Loop over the velocity components
         for (unsigned i = 0; i < n_dim; i++)
         {
           // Get the equation number for the momentum equation
           local_eqn = this->nodal_local_eqn(l, this->U_index_interface[i]);
  
           // If it's not a boundary condition
           if (local_eqn >= 0)
           {
             // Add the surface-tension contribution to the momentum equation
             residuals[local_eqn] -= (Sigma / Ca) * dpsifdS_div(l, i) * J * W;
  
             // If the element is a free surface, add in the external pressure
             if (Pext_data_pt != 0)
             {
               // External pressure term
               residuals[local_eqn] -=
                 p_ext * interpolated_n[i] * psif(l) * J * W;
  
               // Add in the Jacobian term for the external pressure
               // The correct area is included in the length of the normal
               // vector
               if (flag)
               {
                 local_unknown = pext_local_eqn();
                 if (local_unknown >= 0)
                 {
                   jacobian(local_eqn, local_unknown) -=
                     interpolated_n[i] * psif(l) * J * W;
                 }
               }
             } // End of pressure contribution
           }
         } // End of contribution to momentum equation
  
  
         // Kinematic BC
         local_eqn = kinematic_local_eqn(l);
         if (local_eqn >= 0)
         {
           // Assemble the kinematic condition
           // The correct area is included in the normal vector
           for (unsigned k = 0; k < n_dim; k++)
           {
             residuals[local_eqn] +=
               (interpolated_u[k] - St * interpolated_dx_dt[k]) *
               interpolated_n[k] * psif(l) * J * W;
           }
  
           // Add in the jacobian
           if (flag)
           {
             // Loop over shape functions
             for (unsigned l2 = 0; l2 < n_node; l2++)
             {
               // Loop over the components
               for (unsigned i2 = 0; i2 < n_dim; i2++)
               {
                 local_unknown =
                   this->nodal_local_eqn(l2, this->U_index_interface[i2]);
                 // If it's a non-zero dof add
                 if (local_unknown >= 0)
                 {
                   jacobian(local_eqn, local_unknown) +=
                     psif(l2) * interpolated_n[i2] * psif(l) * J * W;
                 }
               }
             }
           } // End of Jacobian contribution
         }
       } // End of loop over shape functions
  
  
       // Add additional contribution required from the implementation
       // of the node update (e.g. Lagrange multpliers etc)
       add_additional_residual_contributions_interface(residuals,
                                                       jacobian,
                                                       flag,
                                                       psif,
                                                       dpsifds,
                                                       dpsifdS,
                                                       dpsifdS_div,
                                                       s,
                                                       interpolated_x,
                                                       interpolated_n,
                                                       W,
                                                       J);
  
     } // End of loop over integration points
   }

Referenced by fill_in_contribution_to_residuals().

◆ hijack_kinematic_conditions()

virtual void oomph::FluidInterfaceElement::hijack_kinematic_conditions ( const Vector< unsigned > & bulk_node_number )

pure virtual

Hijack the kinematic condition at the node numbers passed in the vector. The node numbers correspond to the local numbers of nodes in the associated bulk element. This is required so that contact-angle conditions can be applied by the FluidInterfaceBoundingElements.

Implemented in oomph::ElasticUpdateFluidInterfaceElement< FluidInterfaceElement, SurfaceDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< FluidInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< FluidInterfaceElement, LineDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, SurfaceDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, SurfaceDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, and oomph::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, LineDerivatives, ELEMENT >.

◆ interpolated_u()

double oomph::FluidInterfaceElement::interpolated_u	(	const Vector< double > &	s,
		const unsigned &	i
	)

Calculate the i-th velocity component at the local coordinate s.

Calculate the i-th velocity component at local coordinate s.

   {
     // Find number of nodes
     unsigned n_node = FiniteElement::nnode();
  
     // Storage for the local shape function
     Shape psi(n_node);
  
     // Get values of shape function at local coordinate s
     this->shape(s, psi);
  
     // Initialise value of u
     double interpolated_u = 0.0;
  
     // Loop over the local nodes and sum
     for (unsigned l = 0; l < n_node; l++)
     {
       interpolated_u += u(l, i) * psi(l);
     }
  
     return (interpolated_u);
   }

References i, oomph::FiniteElement::nnode(), oomph::FiniteElement::shape(), and u().

Referenced by oomph::SurfactantTransportInterfaceElement::add_additional_residual_contributions_interface(), fill_in_generic_residual_contribution_interface(), oomph::SolubleSurfactantTransportInterfaceElement::output(), output(), and oomph::SurfactantTransportInterfaceElement::output().

◆ kinematic_local_eqn()

virtual int oomph::FluidInterfaceElement::kinematic_local_eqn ( const unsigned & n )

protectedpure virtual

Access function that returns the local equation number for the (scalar) kinematic equation associated with the j-th local node. This must be overloaded by specific interface elements and depends on the method for handing the free-surface deformation.

Implemented in oomph::ElasticUpdateFluidInterfaceElement< FluidInterfaceElement, SurfaceDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< FluidInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, oomph::ElasticUpdateFluidInterfaceElement< FluidInterfaceElement, LineDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, SurfaceDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, SurfaceDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, AxisymmetricDerivatives, ELEMENT >, oomph::SpineUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, and oomph::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, LineDerivatives, ELEMENT >.

Referenced by fill_in_generic_residual_contribution_interface().

◆ make_bounding_element()

virtual FluidInterfaceBoundingElement* oomph::FluidInterfaceElement::make_bounding_element ( const int & face_index )

inlinevirtual

Create a bounding element e.g. to apply a contact angle boundary condition

     {
       throw OomphLibError("Virtual function not yet implemented",
                           OOMPH_CURRENT_FUNCTION,
                           OOMPH_EXCEPTION_LOCATION);
       return 0;
     }

References OOMPH_CURRENT_FUNCTION, and OOMPH_EXCEPTION_LOCATION.

◆ output() [1/4]

void oomph::FluidInterfaceElement::output ( FILE * file_pt )

inlinevirtual

Overload the C-style output function.

Reimplemented from oomph::FiniteElement.

     {
       FiniteElement::output(file_pt);
     }

References oomph::FiniteElement::output().

◆ output() [2/4]

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

virtual

C-style Output function.

Overload the output function.

Reimplemented from oomph::FiniteElement.

   {
     const unsigned el_dim = this->dim();
     const unsigned n_dim = this->nodal_dimension();
     const unsigned n_velocity = this->U_index_interface.size();
     // Set output Vector
     Vector<double> s(el_dim);
  
     // Tecplot header info
     fprintf(file_pt, "%s", tecplot_zone_string(n_plot).c_str());
  
     // 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);
  
       // Coordinates
       for (unsigned i = 0; i < n_dim; i++)
       {
         fprintf(file_pt, "%g ", interpolated_x(s, i));
       }
  
       // Velocities
       for (unsigned i = 0; i < n_velocity; i++)
       {
         fprintf(file_pt, "%g ", interpolated_u(s, i));
       }
  
       // Dummy Pressure
       fprintf(file_pt, "%g \n", 0.0);
     }
     fprintf(file_pt, "\n");
  
     // Write tecplot footer (e.g. FE connectivity lists)
     write_tecplot_zone_footer(file_pt, n_plot);
   }

References oomph::FiniteElement::dim(), el_dim, oomph::FiniteElement::get_s_plot(), i, interpolated_u(), oomph::FaceElement::interpolated_x(), oomph::FiniteElement::nodal_dimension(), oomph::FiniteElement::nplot_points(), s, oomph::FiniteElement::tecplot_zone_string(), U_index_interface, and oomph::FiniteElement::write_tecplot_zone_footer().

◆ output() [3/4]

void oomph::FluidInterfaceElement::output ( std::ostream & outfile )

inlinevirtual

Overload the output function.

Reimplemented from oomph::FiniteElement.

     {
       FiniteElement::output(outfile);
     }

References oomph::FiniteElement::output().

◆ output() [4/4]

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

virtual

Output function.

Overload the output functions generically.

Reimplemented from oomph::FiniteElement.

   {
     const unsigned el_dim = this->dim();
     const unsigned n_dim = this->nodal_dimension();
     const unsigned n_velocity = this->U_index_interface.size();
     // Set output Vector
     Vector<double> s(el_dim);
  
     // Tecplot header info
     outfile << tecplot_zone_string(n_plot);
  
     // 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 pliot point
       get_s_plot(iplot, n_plot, s);
  
       // Output the x,y,u,v
       for (unsigned i = 0; i < n_dim; i++)
         outfile << this->interpolated_x(s, i) << " ";
       for (unsigned i = 0; i < n_velocity; i++)
         outfile << interpolated_u(s, i) << " ";
  
       // Output a dummy pressure
       outfile << 0.0 << "\n";
     }
  
     write_tecplot_zone_footer(outfile, n_plot);
  
     outfile << "\n";
   }

References oomph::FiniteElement::dim(), el_dim, oomph::FiniteElement::get_s_plot(), i, interpolated_u(), oomph::FaceElement::interpolated_x(), oomph::FiniteElement::nodal_dimension(), oomph::FiniteElement::nplot_points(), s, oomph::FiniteElement::tecplot_zone_string(), U_index_interface, and oomph::FiniteElement::write_tecplot_zone_footer().

◆ pext()

double oomph::FluidInterfaceElement::pext ( ) const

inline

Return the value of the external pressure.

     {
       // If the external pressure has not been set, then return a
       // default value of zero.
       if (Pext_data_pt == 0)
       {
         return 0.0;
       }
       // Otherwise return the appropriate value
       else
       {
         return Pext_data_pt->value(Index_of_external_pressure_value);
       }
     }

References Index_of_external_pressure_value, Pext_data_pt, and oomph::Data::value().

Referenced by fill_in_generic_residual_contribution_interface().

◆ pext_local_eqn()

int oomph::FluidInterfaceElement::pext_local_eqn ( )

inlineprotected

Access function for the local equation number that corresponds to the external pressure.

     {
 #ifdef PARANOID
       if (External_data_number_of_external_pressure < 0)
       {
         throw OomphLibError("No external pressure has been set\n",
                             OOMPH_CURRENT_FUNCTION,
                             OOMPH_EXCEPTION_LOCATION);
       }
 #endif
       return external_local_eqn(External_data_number_of_external_pressure,
                                 Index_of_external_pressure_value);
     }

References External_data_number_of_external_pressure, oomph::GeneralisedElement::external_local_eqn(), Index_of_external_pressure_value, OOMPH_CURRENT_FUNCTION, and OOMPH_EXCEPTION_LOCATION.

Referenced by fill_in_generic_residual_contribution_interface().

◆ set_external_pressure_data() [1/2]

void oomph::FluidInterfaceElement::set_external_pressure_data ( Data * external_pressure_data_pt )

inline

Set the Data that contains the single pressure value that specifies the "external pressure" for the interface/free-surface. Setting this only makes sense if the interface is, in fact, a free surface (well, an interface to another inviscid fluid if you want to be picky).

     {
 #ifdef PARANOID
       if (external_pressure_data_pt->nvalue() != 1)
       {
         std::ostringstream error_message;
         error_message
           << "External pressure Data must only contain a single value!\n"
           << "This one contains " << external_pressure_data_pt->nvalue()
           << std::endl;
  
         throw OomphLibError(error_message.str(),
                             OOMPH_CURRENT_FUNCTION,
                             OOMPH_EXCEPTION_LOCATION);
       }
 #endif
  
       // Store pointer explicitly
       Pext_data_pt = external_pressure_data_pt;
  
       // Add the external pressure to the element's external Data?
       // But do not finite-difference with respect to it
       this->add_external_data(Pext_data_pt, false);
  
       // The external pressure has just been promoted to become
       // external Data of this element -- what is its number?
       External_data_number_of_external_pressure = this->nexternal_data() - 1;
  
       // Index of pressure value in Data object
       Index_of_external_pressure_value = 0;
     }

References oomph::GeneralisedElement::add_external_data(), External_data_number_of_external_pressure, oomph::GeneralisedElement::nexternal_data(), oomph::Data::nvalue(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and Pext_data_pt.

◆ set_external_pressure_data() [2/2]

void oomph::FluidInterfaceElement::set_external_pressure_data	(	Data *	external_pressure_data_pt,
		const unsigned &	index_of_external_pressure_value
	)

inline

Set the Data that contains the pressure value that specifies the "external pressure" for the interface/free-surface. Setting this only makes sense if the interface is, in fact, a free surface (well, an interface to another inviscid fluid if you want to be picky). Second argument specifies the index of the pressure value within the Data object.

     {
       // Index of pressure value in Data object
       Index_of_external_pressure_value = index_of_external_pressure_value;
  
 #ifdef PARANOID
       if (index_of_external_pressure_value >=
           external_pressure_data_pt->nvalue())
       {
         std::ostringstream error_message;
         error_message << "External pressure Data only contains "
                       << external_pressure_data_pt->nvalue() << " values\n"
                       << "You have declared value "
                       << index_of_external_pressure_value
                       << " to be the value representing the pressure\n"
                       << std::endl;
         throw OomphLibError(error_message.str(),
                             OOMPH_CURRENT_FUNCTION,
                             OOMPH_EXCEPTION_LOCATION);
       }
 #endif
  
       // Store pointer explicitly
       Pext_data_pt = external_pressure_data_pt;
  
       // Add the external pressure to the element's external Data?
       // But do not finite-difference with respect to it
       this->add_external_data(Pext_data_pt, false);
  
       // The external pressure has just been promoted to become
       // external Data of this element -- what is its number?
       External_data_number_of_external_pressure = this->nexternal_data() - 1;
     }

References oomph::GeneralisedElement::add_external_data(), External_data_number_of_external_pressure, Index_of_external_pressure_value, oomph::GeneralisedElement::nexternal_data(), oomph::Data::nvalue(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and Pext_data_pt.

◆ sigma()

virtual double oomph::FluidInterfaceElement::sigma ( const Vector< double > & s_local )

inlinevirtual

Virtual function that specifies the non-dimensional surface tension as a function of local position within the element. The default behaviour is a constant surface tension of value 1.0 This function can be overloaded in more specialised elements to incorporate variations in surface tension.

Reimplemented in oomph::SurfactantTransportInterfaceElement, oomph::SolubleSurfactantTransportInterfaceElement, oomph::SpineLineMarangoniSurfactantFluidInterfaceElement< ELEMENT >, oomph::SpineAxisymmetricMarangoniSurfactantFluidInterfaceElement< ELEMENT >, oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >, oomph::SpineLineMarangoniFluidInterfaceElement< ELEMENT >, and oomph::SpineLineMarangoniSurfactantFluidInterfaceElement< ELEMENT >.

     {
       return 1.0;
     }

Referenced by fill_in_generic_residual_contribution_interface().

◆ st()

const double& oomph::FluidInterfaceElement::st ( ) const

inline

The value of the Strouhal number.

     {
       return *St_pt;
     }

References St_pt.

Referenced by fill_in_generic_residual_contribution_interface().

◆ st_pt()

double*& oomph::FluidInterfaceElement::st_pt ( )

inline

The pointer to the Strouhal number.

     {
       return St_pt;
     }

References St_pt.

Referenced by AxisymmetricVibratingShellProblem< ELEMENT >::create_free_surface_elements(), VibratingShellProblem< ELEMENT >::create_free_surface_elements(), TwoLayerInterfaceProblem< ELEMENT >::create_free_surface_elements(), and InterfaceProblem< ELEMENT, TIMESTEPPER >::create_interface_elements().

◆ u()

double oomph::FluidInterfaceElement::u	(	const unsigned &	j,
		const unsigned &	i
	)

inline

Return the i-th velocity component at local node j.

     {
       return node_pt(j)->value(U_index_interface[i]);
     }

References i, j, oomph::FiniteElement::node_pt(), U_index_interface, and oomph::Node::value().

Referenced by fill_in_generic_residual_contribution_interface(), interpolated_u(), and oomph::SurfactantTransportInterfaceElement::output().

Friends And Related Function Documentation

◆ FluidInterfaceBoundingElement

friend class FluidInterfaceBoundingElement

friend

Member Data Documentation

◆ Ca_pt

double* oomph::FluidInterfaceElement::Ca_pt

private

Pointer to the Capillary number.

Referenced by ca(), ca_pt(), and FluidInterfaceElement().

◆ Default_Physical_Constant_Value

double oomph::FluidInterfaceElement::Default_Physical_Constant_Value = 1.0

staticprivate

Default value for physical constants.

Default value for physical constant (static)

////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////

Referenced by FluidInterfaceElement().

◆ External_data_number_of_external_pressure

int oomph::FluidInterfaceElement::External_data_number_of_external_pressure

protected

The Data that contains the external pressure is stored as external Data for the element. Which external Data item is it? (int so it can be initialised to -1, indicating that external pressure hasn't been set).

Referenced by pext_local_eqn(), and set_external_pressure_data().

◆ Index_of_external_pressure_value

unsigned oomph::FluidInterfaceElement::Index_of_external_pressure_value

protected

Which of the values in Pext_data_pt stores the external pressure.

Referenced by pext(), pext_local_eqn(), and set_external_pressure_data().

◆ Pext_data_pt

Data* oomph::FluidInterfaceElement::Pext_data_pt

protected

Pointer to the Data item that stores the external pressure.

Referenced by fill_in_generic_residual_contribution_interface(), pext(), and set_external_pressure_data().

◆ St_pt

double* oomph::FluidInterfaceElement::St_pt

private

Pointer to the Strouhal number.

Referenced by FluidInterfaceElement(), st(), and st_pt().

◆ U_index_interface

Vector<unsigned> oomph::FluidInterfaceElement::U_index_interface

protected

Nodal index at which the i-th velocity component is stored.

Referenced by oomph::SurfactantTransportInterfaceElement::add_additional_residual_contributions_interface(), fill_in_generic_residual_contribution_interface(), output(), oomph::SurfactantTransportInterfaceElement::output(), and u().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Private Attributes

Static Private Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ FluidInterfaceElement()

Member Function Documentation

◆ add_additional_residual_contributions_interface()

◆ ca()

◆ ca_pt()

◆ compute_surface_derivatives()

◆ fill_in_contribution_to_residuals()

◆ fill_in_generic_residual_contribution_interface()

◆ hijack_kinematic_conditions()

◆ interpolated_u()

◆ kinematic_local_eqn()

◆ make_bounding_element()

◆ output() [1/4]

◆ output() [2/4]

◆ output() [3/4]

◆ output() [4/4]

◆ pext()

◆ pext_local_eqn()

◆ set_external_pressure_data() [1/2]

◆ set_external_pressure_data() [2/2]

◆ sigma()

◆ st()

◆ st_pt()

◆ u()

Friends And Related Function Documentation

◆ FluidInterfaceBoundingElement

Member Data Documentation

◆ Ca_pt

◆ Default_Physical_Constant_Value

◆ External_data_number_of_external_pressure

◆ Index_of_external_pressure_value

◆ Pext_data_pt

◆ St_pt

◆ U_index_interface