#include <soluble_surfactant_transport_equations.h>

Inheritance diagram for oomph::SolubleSurfactantTransportInterfaceElement:

Public Member Functions
	SolubleSurfactantTransportInterfaceElement ()

void	set_c_bulk_index (const unsigned &c_bulk_index)

double	bi ()
	Return the Biot number. More...

double	ma ()
	Return the Marangoni number. More...

double	k ()
	Return the reaction ratio. More...

double	beta_b ()

double *&	ma_pt ()
	Access function for pointer to the Marangoni number. More...

double *&	bi_pt ()
	Access function for pointer to the Biot number. More...

double *&	k_pt ()
	Access function for pointer to the reaction ratios. More...

double *&	beta_b_pt ()
	Access function for pointer. More...

double	l2_norm_of_height (const double &h0)

double	integrated_C ()

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

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

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

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

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

void	set_c_index (const Vector< unsigned > &c_index)

double	beta ()
	Return the Elasticity number. More...

double	peclet_s ()
	Return the surface peclect number. More...

double	peclet_strouhal_s ()
	Return the surface peclect strouhal number. More...

double *&	beta_pt ()
	Access function for pointer to the Elasticity number. More...

double *&	peclet_s_pt ()
	Access function for pointer to the surface Peclet number. More...

double *&	peclet_strouhal_s_pt ()
	Access function for pointer to the surface Peclet x Strouhal number. More...

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

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

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

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

double	integrate_c ()
	Compute the concentration intergated over the surface area. 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)

virtual FluidInterfaceBoundingElement *	make_bounding_element (const int &face_index)

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

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
double	interpolated_M (const Vector< double > &s)
	Get the micelle concentration. More...

double	interpolated_C_bulk (const Vector< double > &s)
	Get the bulk concentration. More...

double	sigma (const Vector< double > &s)

double	dsigma_dC (const Vector< double > &s)

double	flux_from_bulk (const double &C, const double &C_bulk)
	Calculate the contribution to the jacobian. More...

double	dflux_from_bulk_dC_bulk (const double &C, const double &C_bulk)

double	dflux_from_bulk_dC (const double &C, const double &C_bulk)

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)

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

Protected Member Functions inherited from oomph::SurfactantTransportInterfaceElement
double	interpolated_C (const Vector< double > &s)
	Get the surfactant concentration. More...

double	dcdt_surface (const unsigned &l) const
	The time derivative of the surface concentration. More...

double	sigma (const Vector< double > &s)

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)

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

Protected Member Functions inherited from oomph::FluidInterfaceElement
virtual int	kinematic_local_eqn (const unsigned &n)=0

int	pext_local_eqn ()

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

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

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_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)

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

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

double *	K_pt
	Pointer to the reaction ratios. More...

double *	Beta_b_pt
	Pointer to beta. More...

unsigned	C_bulk_index
	Index at which the bulk concentration is stored at the nodes. More...

unsigned	M_index
	Index at which the micelle concentration is stored at the nodes. 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

Protected Attributes inherited from oomph::SurfactantTransportInterfaceElement
Vector< unsigned >	C_index

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

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

Static Protected Attributes inherited from oomph::SurfactantTransportInterfaceElement
static double	Default_Physical_Constant_Value
	Default value of the physical constants. More...

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

Constructor & Destructor Documentation

◆ SolubleSurfactantTransportInterfaceElement()

oomph::SolubleSurfactantTransportInterfaceElement::SolubleSurfactantTransportInterfaceElement ( )

inline

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

                                                :
  SurfactantTransportInterfaceElement()
   {
    //Initialise the values
    Bi_pt = &Default_Physical_Constant_Value;
    Ma_pt = &Default_Physical_Constant_Value;
    K_pt = &Default_Physical_Constant_Value;
    Beta_b_pt = &Default_Physical_Constant_Value;
    //Big Hack
    M_index = 3;
   }

References Beta_b_pt, Bi_pt, oomph::SurfactantTransportInterfaceElement::Default_Physical_Constant_Value, K_pt, M_index, and Ma_pt.

Member Function Documentation

◆ add_additional_residual_contributions_interface()

void oomph::SolubleSurfactantTransportInterfaceElement::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.

Reimplemented in oomph::ElasticUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, and oomph::SpineUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >.

   {
    //Call the underlying version from the Surfactant Transport equation
    SurfactantTransportInterfaceElement::
     add_additional_residual_contributions_interface(
      residuals,jacobian,flag,psif,dpsifds,dpsifdS, dpsifdS_div,s,
      interpolated_x,interpolated_n,W,J);
  
    //Now we need to add the bulk contribution
    
    //Find out how many nodes there are
    unsigned n_node = this->nnode();
  
    //Storage for the local equation numbers and unknowns
    int local_eqn = 0, local_unknown = 0;
  
    //Bulk flux condition
    //Find the index at which the bulk is stored
    unsigned c_bulk_index = this->C_bulk_index;
  
    
    //Now calculate the bulk concentration at this point
    //Assuming the same shape functions are used (which they are)
    double C_bulk = 0.0;
    double C = 0.0;
    for(unsigned l=0;l<n_node;l++)
     {
      const double psi_ = psif(l);
      C_bulk += this->nodal_value(l,c_bulk_index)*psi_;
      C += this->nodal_value(l,this->C_index[l])*psi_;
     }
  
    //The transport between the two layers is given by the flux
    const double flux = this->flux_from_bulk(C,C_bulk);
    //Compute the derivatives if required for the Jacobian
    const double dflux_dC_bulk = this->dflux_from_bulk_dC_bulk(C,C_bulk);
    const double dflux_dC = this->dflux_from_bulk_dC(C,C_bulk);
  
    //Read out the beta (solubility) parameter
    const double Beta_b = this->beta_b();
    
    //Now we add the flux term to the bulk residuals
    for(unsigned l=0;l<n_node;l++)
     {
      //Read out the apprporiate local equation
      local_eqn = this->nodal_local_eqn(l,c_bulk_index);
  
      //If not a boundary condition
      if(local_eqn >= 0)
       {
        //Add the flux out of the bulk
     residuals[local_eqn] -= Beta_b*flux*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,c_bulk_index);
            //If not a boundary condition
            if(local_unknown >= 0)
             {
           jacobian(local_eqn,local_unknown) -=
                Beta_b*dflux_dC_bulk*psif(l2)*psif(l)*W*J;
             }
  
            local_unknown = this->nodal_local_eqn(l2,this->C_index[l2]);
            //If not a boundary condition
            if(local_unknown >= 0)
             {
           jacobian(local_eqn,local_unknown) -= Beta_b*dflux_dC*psif(l2)*psif(l)*W*J;
             }
           }
         }
       }
     } //End of loop over the nodes
  
  
   //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,this->C_index[l]);
     
     //If not a boundary condition
     if(local_eqn >= 0)
      {
       //Add the flux term
       residuals[local_eqn] -= flux*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 c_index
           local_unknown =this->nodal_local_eqn(l2,this->C_index[l2]);
           
           if(local_unknown >=0)
            {
         //Add the flux term
         jacobian(local_eqn,local_unknown) -=
              dflux_dC*psif(l2)*psif(l)*W*J;
        }
  
       //Local unknown the bulk concentration
       local_unknown = this->nodal_local_eqn(l2,c_bulk_index);
       //If not a boundary condition
       if(local_unknown >= 0)
         {
              jacobian(local_eqn,local_unknown) -=
               dflux_dC_bulk*psif(l2)*psif(l)*W*J;
         }
          }
        }
      }
   } //End of loop over the nodes
  
   }  

References oomph::SurfactantTransportInterfaceElement::add_additional_residual_contributions_interface(), oomph::Global_Physical_Variables::Beta_b, beta_b(), C_bulk_index, oomph::SurfactantTransportInterfaceElement::C_index, dflux_from_bulk_dC(), dflux_from_bulk_dC_bulk(), ProblemParameters::flux(), flux_from_bulk(), oomph::FaceElement::interpolated_x(), J, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_local_eqn(), oomph::FiniteElement::nodal_value(), s, and oomph::QuadTreeNames::W.

◆ beta_b()

double oomph::SolubleSurfactantTransportInterfaceElement::beta_b ( )

inline

361 {return *Beta_b_pt;}

References Beta_b_pt.

Referenced by add_additional_residual_contributions_interface().

◆ beta_b_pt()

double* & oomph::SolubleSurfactantTransportInterfaceElement::beta_b_pt ( )

inline

Access function for pointer.

373 {return Beta_b_pt;}

References Beta_b_pt.

◆ bi()

double oomph::SolubleSurfactantTransportInterfaceElement::bi ( )

inline

Return the Biot number.

351 {return *Bi_pt;}

References Bi_pt.

Referenced by dflux_from_bulk_dC(), dflux_from_bulk_dC_bulk(), flux_from_bulk(), and output().

◆ bi_pt()

double* & oomph::SolubleSurfactantTransportInterfaceElement::bi_pt ( )

inline

Access function for pointer to the Biot number.

367 {return Bi_pt;}

References Bi_pt.

◆ dflux_from_bulk_dC()

double oomph::SolubleSurfactantTransportInterfaceElement::dflux_from_bulk_dC	(	const double &	C,
		const double &	C_bulk
	)

inlineprotected

Specify the derivative of the flux from the bulk to the interface with respect to the surface concentration

  {
   const double Bi = this->bi();
   const double K = this->k();
   return -Bi*(K*C_bulk + 1.0);
  }

References Global_Physical_Variables::Bi, bi(), PlanarWave::K, and k().

Referenced by add_additional_residual_contributions_interface().

◆ dflux_from_bulk_dC_bulk()

double oomph::SolubleSurfactantTransportInterfaceElement::dflux_from_bulk_dC_bulk	(	const double &	C,
		const double &	C_bulk
	)

inlineprotected

Specify the derivative of the flux from the bulk to the interface with respect to the bulk concentration

  {
   const double Bi = this->bi();
   const double K = this->k();
   return Bi*K*(1.0 - C);
  }

References Global_Physical_Variables::Bi, bi(), PlanarWave::K, and k().

Referenced by add_additional_residual_contributions_interface().

◆ dsigma_dC()

double oomph::SolubleSurfactantTransportInterfaceElement::dsigma_dC ( const Vector< double > & s )

inlineprotectedvirtual

Return the derivative of sigma with respect to C For use in computing the Jacobian

Reimplemented from oomph::SurfactantTransportInterfaceElement.

  {
   const double C = this->interpolated_C(s);
   const double Beta = this->beta();
   return (-Beta/(1.0 - C));
  }

References Global::Beta, oomph::SurfactantTransportInterfaceElement::beta(), and oomph::SurfactantTransportInterfaceElement::interpolated_C().

◆ fill_in_contribution_to_jacobian_and_mass_matrix()

void oomph::SolubleSurfactantTransportInterfaceElement::fill_in_contribution_to_jacobian_and_mass_matrix	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian,
		DenseMatrix< double > &	mass_matrix
	)

inlineprotectedvirtual

Add the element's contribution to its residuals vector, jacobian matrix and mass matrix

Reimplemented from oomph::GeneralisedElement.

   {
    //Add the contribution to the jacobian
    this->fill_in_contribution_to_jacobian(residuals,jacobian);
    //No mass matrix terms, but should probably do kinematic bit here
    //for a stability analysis
   }

References oomph::FiniteElement::fill_in_contribution_to_jacobian().

◆ flux_from_bulk()

double oomph::SolubleSurfactantTransportInterfaceElement::flux_from_bulk	(	const double &	C,
		const double &	C_bulk
	)

inlineprotected

Calculate the contribution to the jacobian.

Fill in the contribution to the residuals Specify the flux from the bulk to the interface

  {
   const double Bi = this->bi();
   const double K = this->k();
   return Bi*(K*C_bulk*(1.0 - C) - C);
  }

References Global_Physical_Variables::Bi, bi(), PlanarWave::K, and k().

Referenced by add_additional_residual_contributions_interface().

◆ integrated_C()

double oomph::SolubleSurfactantTransportInterfaceElement::integrated_C ( )

inline

   {
     //Find the number of nodes
     const unsigned n_node = this->nnode();
     
     //Find out the number of surface coordinates
     const unsigned el_dim = this->dim();
  
     //Find the nodal dimension
     //const unsigned n_dim = this->node_pt(0)->ndim();
     
     //Storage for the Shape functions
     Shape psif(n_node);
  
     //Storage for the local coordinate
     Vector<double> s(el_dim);
     
     //Set the value of n_intpt
     unsigned n_intpt = this->integral_pt()->nweight();
  
     //Storage for answer
     double integral = 0.0;
         
     //Loop over the integration points
     for(unsigned ipt=0;ipt<n_intpt;ipt++)
       {
     //Get the value of the local coordiantes at the integration point
     for(unsigned i=0;i<el_dim;i++) {s[i] = this->integral_pt()->knot(ipt,i);}
     
     //Get the integral weight
     double W = this->integral_pt()->weight(ipt);
  
     //Calculate the Jacobian of the mapping
         double J = this->J_eulerian(s);
         
     //Call the derivatives of the shape function
     this->shape_at_knot(ipt,psif);
     
     //Define and zero the tangent Vectors and local velocities
     double interpolated_C=0.0;
     
     //Loop over the shape functions
     for(unsigned l=0;l<n_node;l++)
       {
         const double psi_ = psif(l);
         //Loop over directional components 
             interpolated_C += this->nodal_value(l,this->C_index[l])*psi_;
       }
  
         integral += interpolated_C*W*J;
       }
     //Return the computed norm
     return integral;
   }

References oomph::SurfactantTransportInterfaceElement::C_index, oomph::FiniteElement::dim(), el_dim, i, oomph::FiniteElement::integral_pt(), oomph::SurfactantTransportInterfaceElement::interpolated_C(), J, oomph::FaceElement::J_eulerian(), oomph::Integral::knot(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_value(), oomph::Integral::nweight(), s, oomph::FiniteElement::shape_at_knot(), oomph::QuadTreeNames::W, and oomph::Integral::weight().

◆ interpolated_C_bulk()

double oomph::SolubleSurfactantTransportInterfaceElement::interpolated_C_bulk ( const Vector< double > & s )

inlineprotected

Get the bulk concentration.

   {
      //Find number of nodes
    unsigned n_node = this->nnode();
  
    //Get the nodal index at which the unknown is stored
    const unsigned c_index = C_bulk_index;
  
    //Local shape function
    Shape psi(n_node);
  
    //Find values of shape function
    this->shape(s,psi);
  
    //Initialise value of C
    double C = 0.0;
  
    //Loop over the local nodes and sum
    for(unsigned l=0;l<n_node;l++) 
     {
       C += this->nodal_value(l,c_index)*psi(l);
     }
  
    return(C);
   }

References C_bulk_index, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_value(), and oomph::FiniteElement::shape().

Referenced by output().

◆ interpolated_M()

double oomph::SolubleSurfactantTransportInterfaceElement::interpolated_M ( const Vector< double > & s )

inlineprotected

Get the micelle concentration.

   {
      //Find number of nodes
    unsigned n_node = this->nnode();
  
    //Get the nodal index at which the unknown is stored
    const unsigned m_index = M_index;
  
    //Local shape function
    Shape psi(n_node);
  
    //Find values of shape function
    this->shape(s,psi);
  
    //Initialise value of m
    double M = 0.0;
  
    //Loop over the local nodes and sum
    for(unsigned l=0;l<n_node;l++) 
     {
       M += this->nodal_value(l,m_index)*psi(l);
     }
  
    return(M);
   }

References M_index, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_value(), and oomph::FiniteElement::shape().

Referenced by output().

◆ k()

double oomph::SolubleSurfactantTransportInterfaceElement::k ( )

inline

Return the reaction ratio.

358 {return *K_pt;}

References K_pt.

Referenced by dflux_from_bulk_dC(), dflux_from_bulk_dC_bulk(), flux_from_bulk(), and output().

◆ k_pt()

double* & oomph::SolubleSurfactantTransportInterfaceElement::k_pt ( )

inline

Access function for pointer to the reaction ratios.

370 {return K_pt;}

References K_pt.

◆ l2_norm_of_height()

double oomph::SolubleSurfactantTransportInterfaceElement::l2_norm_of_height ( const double & h0 )

inline

   {
     //Find the number of nodes
     const unsigned n_node = this->nnode();
     
     //Find out the number of surface coordinates
     const unsigned el_dim = this->dim();
  
     //Find the nodal dimension
     const unsigned n_dim = this->node_pt(0)->ndim();
     
     //Storage for the Shape functions
     Shape psif(n_node);
  
     //Storage for the local coordinate
     Vector<double> s(el_dim);
     
     //Set the value of n_intpt
     unsigned n_intpt = this->integral_pt()->nweight();
  
     //Storage for answer
     double norm = 0.0;
  
     //Work out x distance, assuming this is a line element
     //which it is
     double scale = (this->node_pt(n_node-1)->x(0) - this->node_pt(0)->x(0))/2.0;
     
     //Loop over the integration points
     for(unsigned ipt=0;ipt<n_intpt;ipt++)
       {
     //Get the value of the local coordiantes at the integration point
     for(unsigned i=0;i<el_dim;i++) {s[i] = this->integral_pt()->knot(ipt,i);}
     
     //Get the integral weight
     double W = this->integral_pt()->weight(ipt);
  
     //Call the derivatives of the shape function
     this->shape_at_knot(ipt,psif);
     
     //Define and zero the tangent Vectors and local velocities
     Vector<double> interpolated_x(n_dim,0.0);
     
     //Loop over the shape functions
     for(unsigned l=0;l<n_node;l++)
       {
         const double psi_ = psif(l);
         //Loop over directional components 
         for(unsigned i=0;i<n_dim;i++)
           {
         // Coordinate
         interpolated_x[i] += this->nodal_position(l,i)*psi_;
           }
       }
     
     //Calculate the surface gradient and divergence
     norm += (interpolated_x[1] - h0)*(interpolated_x[1] - h0)*W*scale;
       }
     //Return the computed norm
     return norm;
   }

References oomph::FiniteElement::dim(), el_dim, i, oomph::FiniteElement::integral_pt(), oomph::FaceElement::interpolated_x(), oomph::Integral::knot(), oomph::Node::ndim(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_position(), oomph::FiniteElement::node_pt(), oomph::Integral::nweight(), s, oomph::FiniteElement::shape_at_knot(), oomph::QuadTreeNames::W, oomph::Integral::weight(), and oomph::Node::x().

◆ ma()

double oomph::SolubleSurfactantTransportInterfaceElement::ma ( )

inline

Return the Marangoni number.

354 {return *Ma_pt;}

References Ma_pt.

◆ ma_pt()

double* & oomph::SolubleSurfactantTransportInterfaceElement::ma_pt ( )

inline

Access function for pointer to the Marangoni number.

364 {return Ma_pt;}

References Ma_pt.

◆ output() [1/4]

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

inlinevirtual

Overload the C-style output function.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::ElasticUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, and oomph::SpineUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >.

534 {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::SolubleSurfactantTransportInterfaceElement::output	(	FILE *	file_pt,
		const unsigned &	n_plot
	)

inlinevirtual

C-style Output function.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::ElasticUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, and oomph::SpineUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >.

538 {FiniteElement::output(file_pt,n_plot);}

◆ output() [3/4]

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

inlinevirtual

Overload the output function.

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::ElasticUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, and oomph::SpineUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >.

531 {FiniteElement::output(outfile);}

References oomph::FiniteElement::output().

◆ output() [4/4]

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

inlinevirtual

Output the element data — pass (some measure of) the number of plot points per element

Reimplemented from oomph::FiniteElement.

Reimplemented in oomph::ElasticUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >, and oomph::SpineUpdateFluidInterfaceElement< SolubleSurfactantTransportInterfaceElement, LineDerivatives, ELEMENT >.

 {
  //Set output Vector
  Vector<double> s(1);
  
  //Tecplot header info 
  outfile << "ZONE I=" << n_plot << std::endl;
  
  //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,u,v 
    for(unsigned i=0;i<2;i++) outfile << this->interpolated_x(s,i) << " ";
    for(unsigned i=0;i<2;i++) outfile << this->interpolated_u(s,i) << " ";      
    //Output a dummy pressure
    outfile << 0.0 << " ";
    const double C = this->interpolated_C(s);
    const double C_bulk = this->interpolated_C_bulk(s);
    const double M = this->interpolated_M(s);
    
    //Output the concentrations
    outfile << C << " "
        << C_bulk << " "
            << M << " "
        << this->bi()*(this->k()*C_bulk*(1.0 - C) - C) << std::endl;
   }
  outfile << std::endl;
 }

References bi(), i, oomph::SurfactantTransportInterfaceElement::interpolated_C(), interpolated_C_bulk(), interpolated_M(), oomph::FluidInterfaceElement::interpolated_u(), oomph::FaceElement::interpolated_x(), k(), and s.

◆ set_c_bulk_index()

void oomph::SolubleSurfactantTransportInterfaceElement::set_c_bulk_index ( const unsigned & c_bulk_index )

inline

348 {C_bulk_index = c_bulk_index;}

References C_bulk_index.

Referenced by oomph::FluidInterfaceAdditionalValues< SolubleSurfactantTransportInterfaceElement >::setup_equation_indices().

◆ sigma()

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

inlineprotectedvirtual

The surface tension function is linear in the temperature with constant of proportionality equal to the Marangoni number.

Reimplemented from oomph::FluidInterfaceElement.

   {
    //Get the value of the concentration
    const double C = this->interpolated_C(s);
    //Get the Elasticity numbers
    const double Beta = this->beta();
    //Return the variable surface tension
    return (1.0 + Beta*log(1.0-C));
   }

References Global::Beta, oomph::SurfactantTransportInterfaceElement::beta(), oomph::SurfactantTransportInterfaceElement::interpolated_C(), and Eigen::bfloat16_impl::log().

Member Data Documentation

◆ Beta_b_pt

double* oomph::SolubleSurfactantTransportInterfaceElement::Beta_b_pt

private

Pointer to beta.

Referenced by beta_b(), beta_b_pt(), and SolubleSurfactantTransportInterfaceElement().

◆ Bi_pt

double* oomph::SolubleSurfactantTransportInterfaceElement::Bi_pt

private

Pointer to a Biot number.

Referenced by bi(), bi_pt(), and SolubleSurfactantTransportInterfaceElement().

◆ C_bulk_index

unsigned oomph::SolubleSurfactantTransportInterfaceElement::C_bulk_index

private

Index at which the bulk concentration is stored at the nodes.

Referenced by add_additional_residual_contributions_interface(), interpolated_C_bulk(), and set_c_bulk_index().

◆ K_pt

double* oomph::SolubleSurfactantTransportInterfaceElement::K_pt

private

Pointer to the reaction ratios.

Referenced by k(), k_pt(), and SolubleSurfactantTransportInterfaceElement().

◆ M_index

unsigned oomph::SolubleSurfactantTransportInterfaceElement::M_index

private

Index at which the micelle concentration is stored at the nodes.

Referenced by interpolated_M(), and SolubleSurfactantTransportInterfaceElement().

◆ Ma_pt

double* oomph::SolubleSurfactantTransportInterfaceElement::Ma_pt

private

Pointer to a Marangoni number.

Referenced by ma(), ma_pt(), and SolubleSurfactantTransportInterfaceElement().

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

soluble_surfactant_transport_equations.h

Public Member Functions

Protected Member Functions

Private Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ SolubleSurfactantTransportInterfaceElement()

Member Function Documentation

◆ add_additional_residual_contributions_interface()

◆ beta_b()

◆ beta_b_pt()

◆ bi()

◆ bi_pt()

◆ dflux_from_bulk_dC()

◆ dflux_from_bulk_dC_bulk()

◆ dsigma_dC()

◆ fill_in_contribution_to_jacobian_and_mass_matrix()

◆ flux_from_bulk()

◆ integrated_C()

◆ interpolated_C_bulk()

◆ interpolated_M()

◆ k()

◆ k_pt()

◆ l2_norm_of_height()

◆ ma()

◆ ma_pt()

◆ output() [1/4]

◆ output() [2/4]

◆ output() [3/4]

◆ output() [4/4]

◆ set_c_bulk_index()

◆ sigma()

Member Data Documentation

◆ Beta_b_pt

◆ Bi_pt

◆ C_bulk_index

◆ K_pt

◆ M_index

◆ Ma_pt