#include <linearised_axisymmetric_fluid_interface_elements.h>

Inheritance diagram for oomph::LinearisedAxisymmetricFluidInterfaceElement:

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

	LinearisedAxisymmetricFluidInterfaceElement ()
	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
	Return the value of the Capillary number. More...

double *&	ca_pt ()
	Return a pointer to the Capillary number. More...

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

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

const int &	azimuthal_mode_number () const
	Azimuthal mode number k in e^ik(theta) decomposition. More...

int *&	azimuthal_mode_number_pt ()
	Pointer to azimuthal mode number k in e^ik(theta) decomposition. More...

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

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

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

void	output (std::ostream &outfile, const unsigned &n_plot)
	Output the element. 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: x,y,[z],u,v,[w],p in tecplot format. 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, const unsigned &i)=0

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

virtual void	add_additional_residual_contributions (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag, const Shape &psif, const DShape &dpsifds, const Vector< double > &interpolated_n, const double &r, const double &W, const double &J)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

void	fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_nodal_fd ()

virtual void	reset_after_nodal_fd ()

virtual void	update_in_nodal_fd (const unsigned &i)

virtual void	reset_in_nodal_fd (const unsigned &i)

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
	Index at which the i-th velocity component is stored. More...

Vector< unsigned >	Xhat_index_interface

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...

int *	Azimuthal_Mode_Number_pt
	Pointer to azimuthal mode number k in e^ik(theta) decomposition. More...

Static Private Attributes
static double	Default_Physical_Constant_Value
	Static default value for the physical constants (zero) More...

static int	Default_Azimuthal_Mode_Number_Value
	Static default value for the azimuthal mode number (zero) More...

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 linearised axisymmetric fluid interface elements.

Constructor & Destructor Documentation

◆ LinearisedAxisymmetricFluidInterfaceElement()

oomph::LinearisedAxisymmetricFluidInterfaceElement::LinearisedAxisymmetricFluidInterfaceElement ( )

inline

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

    {
     // Set all the physical parameter pointers to the default value of zero
     Ca_pt = &Default_Physical_Constant_Value;
     St_pt = &Default_Physical_Constant_Value;
     
     // Set the azimuthal mode number to default (zero)
     Azimuthal_Mode_Number_pt = &Default_Azimuthal_Mode_Number_Value;
    }

References Azimuthal_Mode_Number_pt, Ca_pt, Default_Azimuthal_Mode_Number_Value, Default_Physical_Constant_Value, and St_pt.

Member Function Documentation

◆ add_additional_residual_contributions()

virtual void oomph::LinearisedAxisymmetricFluidInterfaceElement::add_additional_residual_contributions	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian,
		const unsigned &	flag,
		const Shape &	psif,
		const DShape &	dpsifds,
		const Vector< double > &	interpolated_n,
		const double &	r,
		const double &	W,
		const double &	J
	)

inlineprotectedvirtual

Helper function to calculate the additional contributions to the jacobian. This will be overloaded by elements that require contributions to their underlying equations from surface integrals. The only example at the moment are elements that use the equations of elasticity to handle the deformation of the bulk elements. The shape functions, normal, integral weight, and jacobian are passed so that they do not have to be recalculated.

114 {}

◆ azimuthal_mode_number()

const int& oomph::LinearisedAxisymmetricFluidInterfaceElement::azimuthal_mode_number ( ) const

inline

Azimuthal mode number k in e^ik(theta) decomposition.

189 { return *Azimuthal_Mode_Number_pt; }

References Azimuthal_Mode_Number_pt.

◆ azimuthal_mode_number_pt()

int* & oomph::LinearisedAxisymmetricFluidInterfaceElement::azimuthal_mode_number_pt ( )

inline

Pointer to azimuthal mode number k in e^ik(theta) decomposition.

192 { return Azimuthal_Mode_Number_pt; }

References Azimuthal_Mode_Number_pt.

◆ ca()

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

inline

Return the value of the Capillary number.

176 { return *Ca_pt; }

References Ca_pt.

◆ ca_pt()

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

inline

Return a pointer to the Capillary number.

179 { return Ca_pt; }

References Ca_pt.

◆ dXhat_dt()

double oomph::LinearisedAxisymmetricFluidInterfaceElement::dXhat_dt	(	const unsigned &	n,
		const unsigned &	i
	)		const

inlineprotected

i-th component of dXhat/dt at local node n. Uses suitably interpolated value for hanging nodes.

   {
    // Get the data's positional timestepper
    TimeStepper* position_time_stepper_pt
     = this->node_pt(n)->position_time_stepper_pt();
    
    // Get the value
    const double xhat_value = this->node_pt(n)->value(Xhat_index_interface[i]);
    
    // Initialise dXhat/dt
    double dXhatdt = 0.0;
  
    // Loop over the timesteps, if there is a non Steady timestepper
    if(!position_time_stepper_pt->is_steady())
     {
      // Number of timsteps (past & present)
      const unsigned n_time = position_time_stepper_pt->ntstorage();
      
      // Add the contributions to the time derivative
      for(unsigned t=0;t<n_time;t++)
       {
        dXhatdt += position_time_stepper_pt->weight(1,t)*xhat_value;
       }
     }
    
    return dXhatdt;
   }

References i, oomph::TimeStepper::is_steady(), oomph::FiniteElement::node_pt(), oomph::TimeStepper::ntstorage(), oomph::Node::position_time_stepper_pt(), plotPSD::t, oomph::Node::value(), oomph::TimeStepper::weight(), and Xhat_index_interface.

◆ fill_in_contribution_to_residuals()

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

protectedvirtual

Helper function to calculate the residuals and (if flag==true) the Jacobian – this function only deals with part of the Jacobian.

Calculate the residuals for the linearised axisymmetric interface element

Reimplemented in oomph::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement< ELEMENT >.

  {
   std::ostringstream error_stream;
   
   error_stream << "This function has been deliberately broken, since it\n"
                << "has been overloaded with one in the (derived) spine\n"
                << "version of this element, which makes certain assumptions:\n"
                << "namely that we are using vertical spines to perform our\n"
                << "node-updating procedures. At some point a more general\n"
                << "framework will want to be written, and this function\n"
                << "(here!) replaced with one that implements the generic\n"
                << "mathematics, which is independent of the node-update\n"
                << "scheme which is employed (and supplied by derived classes)."
                << std::endl;
   
   throw OomphLibError(error_stream.str(),
                       OOMPH_CURRENT_FUNCTION,
                       OOMPH_EXCEPTION_LOCATION);
  }

References OOMPH_CURRENT_FUNCTION, and OOMPH_EXCEPTION_LOCATION.

Referenced by fill_in_contribution_to_residuals().

◆ hijack_kinematic_conditions()

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

pure virtual

Hijack the kinematic condition at the nodes passed in the vector This is required so that contact-angle conditions can be applied by the LinearisedAxisymmetricFluidInterfaceEdgeElements.

Implemented in oomph::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement< ELEMENT >.

◆ interpolated_u()

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

inline

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

   {
    // Find number of nodes
    const unsigned n_node = 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 output().

◆ kinematic_local_eqn()

virtual int oomph::LinearisedAxisymmetricFluidInterfaceElement::kinematic_local_eqn	(	const unsigned &	n,
		const unsigned &	i
	)

protectedpure virtual

Access function that returns the local equation number for the i-th kinematic equation (i=1,2) that corresponds to the n-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::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement< ELEMENT >.

◆ output() [1/4]

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

inlinevirtual

Overload the C-style output function.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement< ELEMENT >.

230 { FiniteElement::output(file_pt); }

oomph::FiniteElement::output

virtual void output(std::ostream &outfile)

Definition: elements.h:3050

References oomph::FiniteElement::output().

◆ output() [2/4]

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

virtual

C-style Output function: x,y,[z],u,v,[w],p in tecplot format.

Overload the output function.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement< ELEMENT >.

  {
   // Set output Vector
   Vector<double> s(1);
  
   // Tecplot header info 
   fprintf(file_pt,"ZONE I=%i \n",n_plot);
   
   // Loop over plot points
   for(unsigned l=0;l<n_plot;l++)
    {
     s[0] = -1.0 + l*2.0/(n_plot-1);
     
     // Output the x,y, and the 6 velocity components
     for(unsigned i=0;i<2;i++) fprintf(file_pt,"%g ",this->interpolated_x(s,i));
     for(unsigned i=0;i<6;i++) fprintf(file_pt,"%g ",this->interpolated_u(s,i));
  
     // Output two dummy pressures
     fprintf(file_pt,"0.0 0.0 \n");
    }
   fprintf(file_pt,"\n");
  }

References i, interpolated_u(), oomph::FaceElement::interpolated_x(), and s.

◆ output() [3/4]

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

inlinevirtual

Overload the output functions.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement< ELEMENT >.

224 { FiniteElement::output(outfile); }

References oomph::FiniteElement::output().

Referenced by oomph::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement< ELEMENT >::output().

◆ output() [4/4]

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

virtual

Output the element.

Overload the output function.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement< ELEMENT >.

81 {}

◆ sigma()

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

inlinevirtual

Virtual function that specifies the surface tension as a function of local position within the element The default behaviour is a constant surface tension of value 1.0 It is expected that this function will be overloaded in more specialised elements to incorporate variations in surface tension.

165 { return 1.0; }

◆ st()

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

inline

Return the value of the Strouhal number.

182 { return *St_pt; }

References St_pt.

◆ st_pt()

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

inline

Return a pointer to the Strouhal number.

185 { return St_pt; }

References St_pt.

Referenced by PerturbedStateProblem< BASE_ELEMENT, PERTURBED_ELEMENT >::create_interface_elements().

◆ u()

double oomph::LinearisedAxisymmetricFluidInterfaceElement::u	(	const unsigned &	n,
		const unsigned &	i
	)

inline

Return the i-th velocity component at local node n The use of the array U_index_interface allows the velocity components to be stored in any location at the node.

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

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

Referenced by interpolated_u().

Member Data Documentation

◆ Azimuthal_Mode_Number_pt

int* oomph::LinearisedAxisymmetricFluidInterfaceElement::Azimuthal_Mode_Number_pt

private

Pointer to azimuthal mode number k in e^ik(theta) decomposition.

Referenced by azimuthal_mode_number(), azimuthal_mode_number_pt(), and LinearisedAxisymmetricFluidInterfaceElement().

◆ Ca_pt

double* oomph::LinearisedAxisymmetricFluidInterfaceElement::Ca_pt

private

Pointer to the Capillary number.

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

◆ Default_Azimuthal_Mode_Number_Value

int oomph::LinearisedAxisymmetricFluidInterfaceElement::Default_Azimuthal_Mode_Number_Value

staticprivate

Static default value for the azimuthal mode number (zero)

Referenced by LinearisedAxisymmetricFluidInterfaceElement().

◆ Default_Physical_Constant_Value

double oomph::LinearisedAxisymmetricFluidInterfaceElement::Default_Physical_Constant_Value

staticprivate

Static default value for the physical constants (zero)

Referenced by LinearisedAxisymmetricFluidInterfaceElement().

◆ St_pt

double* oomph::LinearisedAxisymmetricFluidInterfaceElement::St_pt

private

Pointer to the Strouhal number.

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

◆ U_index_interface

Vector<unsigned> oomph::LinearisedAxisymmetricFluidInterfaceElement::U_index_interface

protected

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

Referenced by oomph::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement< ELEMENT >::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement(), and u().

◆ Xhat_index_interface

Vector<unsigned> oomph::LinearisedAxisymmetricFluidInterfaceElement::Xhat_index_interface

protected

Index at which the i-th component of the perturbation to the nodal coordinate is stored.

Referenced by dXhat_dt(), and oomph::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement< ELEMENT >::PerturbedSpineLinearisedAxisymmetricFluidInterfaceElement().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Private Attributes

Static Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ LinearisedAxisymmetricFluidInterfaceElement()

Member Function Documentation

◆ add_additional_residual_contributions()

◆ azimuthal_mode_number()

◆ azimuthal_mode_number_pt()

◆ ca()

◆ ca_pt()

◆ dXhat_dt()

◆ fill_in_contribution_to_residuals()

◆ fill_in_generic_residual_contribution_interface()

◆ hijack_kinematic_conditions()

◆ interpolated_u()

◆ kinematic_local_eqn()

◆ output() [1/4]

◆ output() [2/4]

◆ output() [3/4]

◆ output() [4/4]

◆ sigma()

◆ st()

◆ st_pt()

◆ u()

Member Data Documentation

◆ Azimuthal_Mode_Number_pt

◆ Ca_pt

◆ Default_Azimuthal_Mode_Number_Value

◆ Default_Physical_Constant_Value

◆ St_pt

◆ U_index_interface

◆ Xhat_index_interface