Inheritance diagram for oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >:

Public Member Functions
	FixedVolumeSpineLineMarangoniFluidInterfaceElement (FiniteElement *const &element_pt, const int &face_index)

double	bi ()

double	ma ()

double *&	ma_pt ()

double *&	bi_pt ()

void	set_traded_pressure_data (Data *traded_pressure_data_pt)

FluidInterfaceBoundingElement *	make_bounding_element (const int &face_index)

Public Member Functions inherited from oomph::SpineLineFluidInterfaceElement< ELEMENT >
	SpineLineFluidInterfaceElement (FiniteElement *const &element_pt, const int &face_index)

Public Member Functions inherited from oomph::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, LineDerivatives, ELEMENT >
	SpineUpdateFluidInterfaceElement (FiniteElement *const &element_pt, const int &face_index, const unsigned &id=0)

void	fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
	Calculate the contribution to the residuals and the jacobian. More...

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)
	Helper function to calculate the additional contributions These are those filled in by the particular equations. More...

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

Public Member Functions inherited from oomph::Hijacked< SpineElement< FaceGeometry< ELEMENT > > >
	Hijacked ()
	Constructor, call the constructors of the base elements. More...

	Hijacked (FiniteElement *const &element_pt, const int &face_index)
	Constructor used for hijacking face elements. More...

	Hijacked (FiniteElement *const &element_pt, const int &face_index, const unsigned &id=0)

Data *	hijack_internal_value (const unsigned &n, const unsigned &i, const bool &return_data=true)

Data *	hijack_external_value (const unsigned &n, const unsigned &i, const bool &return_data=true)

Data *	hijack_nodal_value (const unsigned &n, const unsigned &i, const bool &return_data=true)

Data *	hijack_nodal_position_value (const unsigned &n, const unsigned &i, const bool &return_data=true)

Data *	hijack_nodal_spine_value (const unsigned &n, const unsigned &i, const bool &return_data=true)

void	assign_local_eqn_numbers (const bool &store_local_dof_pt)

void	get_residuals (Vector< double > &residuals)

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

Public Member Functions inherited from oomph::SpineElement< FaceGeometry< ELEMENT > >
	SpineElement ()
	Constructor, call the constructor of the base element. More...

	SpineElement (FiniteElement *const &element_pt, const int &face_index)
	Constructor used for spine face elements. More...

	~SpineElement ()
	Destructor, clean up the storage allocated to the local equation numbers. More...

int	spine_local_eqn (const unsigned &n)

Public Member Functions inherited from oomph::ElementWithSpecificMovingNodes< ELEMENT, NODE_TYPE >
void	describe_local_dofs (std::ostream &out, const std::string &current_string) const

	ElementWithSpecificMovingNodes ()
	Constructor, call the constructor of the base element. More...

	ElementWithSpecificMovingNodes (FiniteElement *const &element_pt, const int &face_index)
	Constructor used for face elements. More...

	~ElementWithSpecificMovingNodes ()
	Empty Destructor,. More...

void	describe_local_dofs (std::ostream &out, std::string &curr_str)
	Unique final overrider for describe_dofs. More...

Node *	construct_node (const unsigned &n)

Node *	construct_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
	Overloaded node allocation for unsteady problems. More...

Node *	construct_boundary_node (const unsigned &n)
	Overload the node assignment routine to assign boundary nodes. More...

Node *	construct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt)
	Overloaded boundary node allocation for unsteady problems. More...

void	assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt)

void	get_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)
	Compute the element's residuals vector and jacobian matrix. More...

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

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

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

virtual	~ElementWithMovingNodes ()
	Virtual destructor (clean up and allocated memory) More...

unsigned	ngeom_dof () const
	Number of geometric dofs. More...

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

void	assemble_set_of_all_geometric_data (std::set< Data * > &unique_geom_data_pt)
	Return a set of all geometric data associated with the element. More...

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

bool	are_dresidual_dnodal_coordinates_always_evaluated_by_fd () const
	Return whether shape derivatives are evaluated by fd. More...

void	enable_always_evaluate_dresidual_dnodal_coordinates_by_fd ()

void	disable_always_evaluate_dresidual_dnodal_coordinates_by_fd ()

void	evaluate_shape_derivs_by_direct_fd ()
	Evaluate shape derivatives by direct finite differencing. More...

void	evaluate_shape_derivs_by_chain_rule (const bool &i_know_what_i_am_doing=false)

void	evaluate_shape_derivs_by_fastest_method (const bool &i_know_what_i_am_doing=false)

int &	method_for_shape_derivs ()
	Access to method (enumerated flag) for determination of shape derivs. More...

void	enable_bypass_fill_in_jacobian_from_geometric_data ()
	Bypass the call to fill_in_jacobian_from_geometric_data. More...

void	disable_bypass_fill_in_jacobian_from_geometric_data ()
	Do not bypass the call to fill_in_jacobian_from_geometric_data. More...

bool	is_fill_in_jacobian_from_geometric_data_bypassed () const

unsigned	ngeom_data () const

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_nodal_local_dofs (std::ostream &out, const std::string &current_string) const

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

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

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

virtual unsigned	nnode_1d () const

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

virtual void	get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)

virtual void	disable_ALE ()

virtual void	enable_ALE ()

virtual unsigned	required_nvalue (const unsigned &n) const

unsigned	nnodal_position_type () const

bool	has_hanging_nodes () const

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

virtual unsigned	nvertex_node () const

virtual Node *	vertex_node_pt (const unsigned &j) const

int	get_node_number (Node *const &node_pt) const

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

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

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

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

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

unsigned	dim () const

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

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

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

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

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

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

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

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

virtual void	compute_norm (Vector< double > &norm)

virtual void	compute_norm (double &norm)

virtual unsigned	ndof_types () const

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

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

	GeomObject (const unsigned &ndim)

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

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

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

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

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

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

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

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

TimeStepper *&	time_stepper_pt ()

TimeStepper *	time_stepper_pt () const

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

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

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

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

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

virtual	~SpineFiniteElement ()
	Emtpty virtual destructor. More...

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

virtual	~HijackedElementBase ()
	Destructor, destroy the storage for the equation numbers. More...

void	unhijack_all_data ()

const double &	residual_multiplier () const
	Return the value of the residual multiplier. More...

double *&	residual_multiplier_pt ()
	Return the pointer to the residual multiplier. More...

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

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)

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::LineDerivatives
	LineDerivatives ()

Protected Member Functions
double	sigma (const Vector< double > &s)
	Overload the surface tension function. More...

void	fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
	Calculate the contribution to the jacobian. More...

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::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, LineDerivatives, ELEMENT >
double	compute_surface_derivatives (const Shape &psi, const DShape &dpsids, const DenseMatrix< double > &interpolated_t, const Vector< double > &interpolated_x, DShape &surface_gradient, DShape &surface_divergence)

Protected Member Functions inherited from oomph::ElementWithMovingNodes
virtual void	get_dnodal_coordinates_dgeom_dofs (RankThreeTensor< double > &dnodal_coordinates_dgeom_dofs)

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

void	fill_in_jacobian_from_geometric_data (DenseMatrix< double > &jacobian)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

void	fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_nodal_fd ()

virtual void	reset_after_nodal_fd ()

virtual void	update_in_nodal_fd (const unsigned &i)

virtual void	reset_in_nodal_fd (const unsigned &i)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

bool	internal_data_fd (const unsigned &i) const

void	exclude_internal_data_fd (const unsigned &i)

void	include_internal_data_fd (const unsigned &i)

void	clear_global_eqn_numbers ()

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

virtual void	assign_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 Member Functions inherited from oomph::HijackedElementBase
void	hijack_global_eqn (long *const &global_eqn_pt)

void	unhijack_global_eqn (long *const &global_eqn_pt)

Protected Member Functions inherited from oomph::FluidInterfaceElement
int	pext_local_eqn ()

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

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::LineDerivatives
double	compute_surface_derivatives (const Shape &psi, const DShape &dpsids, const DenseMatrix< double > &interpolated_t, const Vector< double > &interpolated_x, DShape &surface_gradient, DShape &surface_divergence)
	Fill in the specific surface derivative calculations. More...

Private Member Functions
int	ptraded_local_eqn ()

Private Attributes
int	Ptraded_local_eqn
	value that has been traded for the volume constraint. More...

unsigned	External_data_number_of_traded_pressure

Data *	Ptraded_data_pt

double *	Bi_pt
	Pointer to a Biot number. More...

double *	Ma_pt
	Pointer to a Marangoni number. More...

unsigned	T_index
	Index at which the temperature is stored at the nodes. More...

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

Additional Inherited Members
Public Types inherited from oomph::ElementWithMovingNodes
enum	{ Shape_derivs_by_chain_rule , Shape_derivs_by_direct_fd , Shape_derivs_by_fastest_method }
	Public enumeration to choose method for computing shape derivatives. More...

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

Protected Attributes inherited from oomph::ElementWithMovingNodes
Vector< Data * >	Geom_data_pt

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

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

unsigned	Ndim
	Number of Eulerian coordinates. More...

TimeStepper *	Geom_object_time_stepper_pt

Protected Attributes inherited from oomph::HijackedElementBase
std::set< long * > *	Hijacked_global_eqn_number_pt

Vector< int > *	Hijacked_local_eqn_number_pt

double *	Residual_multiplier_pt

Protected Attributes inherited from oomph::FluidInterfaceElement
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

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

Static Protected Attributes inherited from oomph::HijackedElementBase
static double	Default_residual_multiplier = 0.0

Detailed Description

template<class ELEMENT>
class oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >

New Marangoni surface tension elements that also include a fixed volume constraint for steady problems. Note that the implementation is rather specific for our meshes used in this demo driver. You may have to alter this class for different problems.

Constructor & Destructor Documentation

◆ FixedVolumeSpineLineMarangoniFluidInterfaceElement()

template<class ELEMENT >

oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::FixedVolumeSpineLineMarangoniFluidInterfaceElement	(	FiniteElement *const &	element_pt,
		const int &	face_index
	)

inline

Constructor that passes the bulk element and the face index down to the underlying

                                                           : 
   SpineLineFluidInterfaceElement<ELEMENT>
   (element_pt,face_index)
   {
    //Initialise the values
    Bi_pt = &Default_Physical_Constant_Value;
    Ma_pt = &Default_Physical_Constant_Value;
  
    Ptraded_data_pt = 0;
    
    //Cast the bulk element 
    ELEMENT* cast_element_pt = dynamic_cast<ELEMENT*>(element_pt);
    //Now find the index at which the temperature is stored from the 
    //advection-diffusion part of the bulk element
    T_index = cast_element_pt->u_index_adv_diff();
   }

References oomph::MultiDomainBoussinesqHelper::Default_Physical_Constant_Value.

Member Function Documentation

◆ add_additional_residual_contributions_interface()

template<class ELEMENT >

void oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::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

Overload the Helper function to calculate the residuals and jacobian entries. This particular function ensures that the additional entries are calculated inside the integration loop

Reimplemented from oomph::FluidInterfaceElement.

   {
    //Find the index at which the temperature is stored
    unsigned t_index = this->T_index;
    
    //Find out how many nodes there are
    unsigned n_node = this->nnode();
    
    //Read out the Bi number
    const double Bi = this->bi();
  
    //Now calculate the temperature at this point
    //Assuming the same shape functions are used (which they are)
    double T = 0.0;
    for(unsigned l=0;l<n_node;l++)
     {
      T += this->nodal_value(l,t_index)*psif(l);
     }
  
    //Storage for the local equation numbers and unknowns
    int local_eqn = 0, local_unknown = 0;
  
    //Now we add the flux term to the appropriate residuals
    for(unsigned l=0;l<n_node;l++)
     {
      //Read out the apprporiate local equation
      local_eqn = this->nodal_local_eqn(l,t_index);
  
      //If not a boundary condition
      if(local_eqn >= 0)
       {
        residuals[local_eqn] -= Bi*T*psif(l)*W*J;
  
        //We also need to worry about the jacobian terms
        if(flag)
         {
          //Loop over the nodes again
          for(unsigned l2=0;l2<n_node;l2++)
           {
            //Get the unknown
            local_unknown = this->nodal_local_eqn(l2,t_index);
            //If not a boundary condition
            if(local_unknown >= 0)
             {
              jacobian(local_eqn,local_unknown) -= Bi*psif(l2)*psif(l)*W*J;
             }
           }
         }
       }
     } //End of loop over nodes
    
    //Now do the volume constraint
    local_eqn = ptraded_local_eqn(); 
    if(local_eqn >=0)
     {
      //Find the x position
      Vector<double> interpolated_x(2,0.0);
      //Fill in the x position
      for(unsigned l=0;l<n_node;l++)
       {
        const double psi_local = psif(l);
        for(unsigned i=0;i<2;i++)
         {
          interpolated_x[i] += this->nodal_position(l,i)*psi_local;
         }
       }
      
      //Find the dot product
      double dot = 0.0;
      for(unsigned k=0;k<2;k++) {dot += interpolated_x[k]*interpolated_n[k];}
      residuals[local_eqn] += 0.5*dot*W*J;
     }
   } //End of additional jacobian terms

References Global_Physical_Variables::Bi, dot(), i, J, k, and oomph::QuadTreeNames::W.

◆ bi()

template<class ELEMENT >

double oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::bi ( )

inline

431 {return *Bi_pt;}

◆ bi_pt()

template<class ELEMENT >

double* & oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::bi_pt ( )

inline

437 {return Bi_pt;}

◆ fill_in_contribution_to_jacobian()

template<class ELEMENT >

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

inlineprotectedvirtual

Calculate the contribution to the jacobian.

Fill in the contribution to the residuals

Reimplemented from oomph::GeneralisedElement.

   {
    //Call the generic routine with the flag set to 1
    this->fill_in_generic_residual_contribution_interface(residuals,jacobian,1);
    {
     //Use finite differences to handle temperature variations
     const unsigned n_node = this->nnode();
     //Find the number of dofs in the element
     const unsigned n_dof = this->ndof();
     //Create newres vector
     Vector<double> newres(n_dof);
     
     //Integer storage for local unknown
     int local_unknown=0;
     
     //Use the default finite difference step
     const double fd_step = this->Default_fd_jacobian_step;
     
     //Loop over the nodes
     for(unsigned n=0;n<n_node;n++)
      {
       //Get the number of values stored at the node
       unsigned t_index = this->T_index;
  
       //Get the local equation number
       local_unknown = this->nodal_local_eqn(n,t_index);
       //If it's not pinned
       if(local_unknown >= 0)
        {
         //Store a pointer to the nodal data value
         double *value_pt = this->node_pt(n)->value_pt(t_index);
         
         //Save the old value of the Nodal data
         double old_var = *value_pt;
        
         //Increment the value of the Nodal data
         *value_pt += fd_step;
        
         //Calculate the new residuals
         this->get_residuals(newres);
        
         //Do finite differences
         for(unsigned m=0;m<n_dof;m++)
          {
           double sum = (newres[m] - residuals[m])/fd_step;
           //Stick the entry into the Jacobian matrix
           jacobian(m,local_unknown) = sum;
          }
        
         //Reset the Nodal data
         *value_pt = old_var;
        }
      }
    }
  
    //Fill in the external data by finite differences
    this->fill_in_jacobian_from_external_by_fd(jacobian);
    
    //Call the generic routine to handle the spine variables
    this->fill_in_jacobian_from_geometric_data(jacobian);
   }

References GlobalFct::get_residuals(), m, and n.

◆ ma()

template<class ELEMENT >

double oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::ma ( )

inline

433 {return *Ma_pt;}

◆ ma_pt()

template<class ELEMENT >

double* & oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::ma_pt ( )

inline

435 {return Ma_pt;}

◆ make_bounding_element()

template<class ELEMENT >

FluidInterfaceBoundingElement* oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::make_bounding_element ( const int & face_index )

inlinevirtual

/ Overload the making of the edge element to create out volume constraint edge element

Reimplemented from oomph::SpineUpdateFluidInterfaceElement< FluidInterfaceElement, LineDerivatives, ELEMENT >.

   {
    //Create a temporary pointer to the appropriate FaceElement
    SpineVolumeConstraintPointElement<ELEMENT> *Temp_pt =
     new SpineVolumeConstraintPointElement<ELEMENT>;
  
    //Attach the geometrical information to the new element
    this->build_face_element(face_index,Temp_pt);
    
    //Set the index at which the unknowns are stored from the element
    Temp_pt->u_index_interface_boundary() = this->U_index_interface;
  
    //Set the value of the nbulk_value, the node is not resized
    //in this problem, so it will just be the actual nvalue
    Temp_pt->nbulk_value(0) = Temp_pt->node_pt(0)->nvalue();
  
    //Set of unique geometric data that is used to update the bulk,
    //but is not used to update the face
    std::set<Data*> unique_additional_geom_data;
    //Get all the geometric data for this (bulk) element
    this->assemble_set_of_all_geometric_data(unique_additional_geom_data);
  
    //Now assemble the set of geometric data for the face element
    std::set<Data*> unique_face_geom_data_pt;
    Temp_pt->assemble_set_of_all_geometric_data(unique_face_geom_data_pt);
    //Erase the face geometric data from the additional data
    for(std::set<Data*>::iterator it=unique_face_geom_data_pt.begin();
        it!=unique_face_geom_data_pt.end();++it)
     {unique_additional_geom_data.erase(*it);}
  
    //Finally add all unique additional data as external data
    for(std::set<Data*>::iterator it = unique_additional_geom_data.begin();
        it!= unique_additional_geom_data.end();++it)
     {
      Temp_pt->add_external_data(*it);
      }
  
    //Return the value of the pointer
    return Temp_pt;
   }

References oomph::GeneralisedElement::add_external_data(), oomph::ElementWithMovingNodes::assemble_set_of_all_geometric_data(), oomph::FaceElement::nbulk_value(), oomph::FiniteElement::node_pt(), oomph::Data::nvalue(), and oomph::FluidInterfaceBoundingElement::u_index_interface_boundary().

◆ ptraded_local_eqn()

template<class ELEMENT >

int oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::ptraded_local_eqn ( )

inlineprivate

The local eqn number for the traded pressure, which is the variable that corresponds to this equation

   {
    if(Ptraded_data_pt==0) {return -1;}
    else 
     {return this->external_local_eqn(
      External_data_number_of_traded_pressure,0);}
   }

◆ set_traded_pressure_data()

template<class ELEMENT >

void oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::set_traded_pressure_data ( Data * traded_pressure_data_pt )

inline

Set the Data that contains the single pressure value that is "traded" for the volume constraint. The Data item must only contain a single value!

   {
 #ifdef PARANOID
    if (traded_pressure_data_pt->nvalue()!=1)
     {
      std::ostringstream error_stream;
      error_stream 
       << "The `traded` pressure Data must only contain a single value\n"
       << "This one contains " << traded_pressure_data_pt->nvalue() 
       << std::endl;
      
      std::string function_name = 
       "FixedVolumeSpineLineFluidInterfaceElement::\n";
      function_name += "set_traded_pressure_data()";
      
      throw OomphLibError(error_stream.str(),
                          OOMPH_CURRENT_FUNCTION,
                          OOMPH_EXCEPTION_LOCATION);
     }
 #endif
    // Store pointer explicitly
    Ptraded_data_pt=traded_pressure_data_pt;
    // Add the traded pressure to the external data.
    // If it's a duplicate it will be reported as such
    External_data_number_of_traded_pressure =
     this->add_external_data(traded_pressure_data_pt);
   }

References oomph::Data::nvalue(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::Global_string_for_annotation::string().

◆ sigma()

template<class ELEMENT >

double oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::sigma ( const Vector< double > & s )

inlineprotectedvirtual

Overload the surface tension function.

Reimplemented from oomph::FluidInterfaceElement.

   {
    //Find the number of shape functions
    const unsigned n_node = this->nnode();
    //Now get the shape fuctions at the local coordinate
    Shape psi(n_node);
    this->shape(s,psi);
    
    double T = 0.0;
    //Now interpolate the temperature
    for(unsigned l=0;l<n_node;l++)
     {
      T += this->nodal_value(l,T_index)*psi(l);
     }
  
    //Get the Marangoni and Capillary numbers
    double Ma = this->ma();
    double Ca = this->ca();
    //Return the variable surface tension
    return (1.0 - Ca*Ma*T);
   }

References Global_Physical_Variables::Ca, oomph::Global_Physical_Variables::Ma, and oomph::OneDimLagrange::shape().

Member Data Documentation

◆ Bi_pt

template<class ELEMENT >

double* oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::Bi_pt

private

Pointer to a Biot number.

◆ Default_Physical_Constant_Value

template<class ELEMENT >

double oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::Default_Physical_Constant_Value = 1.0

staticprivate

Default value of the physical constants.

◆ External_data_number_of_traded_pressure

template<class ELEMENT >

unsigned oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::External_data_number_of_traded_pressure

private

The Data that contains the traded pressure is stored as external Data for the element. Which external Data item is it?

◆ Ma_pt

template<class ELEMENT >

double* oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::Ma_pt

private

Pointer to a Marangoni number.

◆ Ptraded_data_pt

template<class ELEMENT >

Data* oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::Ptraded_data_pt

private

Pointer to the Data item that stores the pressure that has been "traded" for the volume constraint in its single value.

◆ Ptraded_local_eqn

template<class ELEMENT >

int oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::Ptraded_local_eqn

private

value that has been traded for the volume constraint.

Integer to hold the local equation number for the single pressure

◆ T_index

template<class ELEMENT >

unsigned oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::T_index

private

Index at which the temperature is stored at the nodes.

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

marangoni_convection_box.cc

Public Member Functions

Protected Member Functions

Private Member Functions

Private Attributes

Static Private Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT> class oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >

Constructor & Destructor Documentation

◆ FixedVolumeSpineLineMarangoniFluidInterfaceElement()

Member Function Documentation

◆ add_additional_residual_contributions_interface()

◆ bi()

◆ bi_pt()

◆ fill_in_contribution_to_jacobian()

◆ ma()

◆ ma_pt()

◆ make_bounding_element()

◆ ptraded_local_eqn()

◆ set_traded_pressure_data()

◆ sigma()

Member Data Documentation

◆ Bi_pt

◆ Default_Physical_Constant_Value

◆ External_data_number_of_traded_pressure

◆ Ma_pt

◆ Ptraded_data_pt

◆ Ptraded_local_eqn

◆ T_index

template<class ELEMENT>
class oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >