#include <surfactant_transport_elements.h>

Inheritance diagram for oomph::SurfactantTransportInterfaceElement:

Public Member Functions
	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_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)

virtual double	dsigma_dC (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)

Protected Attributes
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
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

Private Attributes
double *	Beta_pt
	Pointer to an Elasticity number. More...

double *	Peclet_S_pt
	Pointer to Surface Peclet number. More...

double *	Peclet_Strouhal_S_pt
	Pointer to the surface Peclect Strouhal number. 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

Detailed Description

Generic surfactant transport equations implemented independently of the dimension and then specialised using the generic mechanisms introduce in the FluidInterfaceElements

Constructor & Destructor Documentation

◆ SurfactantTransportInterfaceElement()

oomph::SurfactantTransportInterfaceElement::SurfactantTransportInterfaceElement ( )

inline

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

                                           : FluidInterfaceElement()
     {
       // Initialise the values
       Beta_pt = &Default_Physical_Constant_Value;
       Peclet_S_pt = &Default_Physical_Constant_Value;
       Peclet_Strouhal_S_pt = &Default_Physical_Constant_Value;
     }

References Beta_pt, Default_Physical_Constant_Value, Peclet_S_pt, and Peclet_Strouhal_S_pt.

Member Function Documentation

◆ add_additional_residual_contributions_interface()

void oomph::SurfactantTransportInterfaceElement::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
	)

protectedvirtual

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

   {
     // 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;
  
     // Surface advection-diffusion equation
  
     // Find the index at which the concentration is stored
     Vector<unsigned> u_index = this->U_index_interface;
  
     // Read out the surface peclect number
     const double Pe_s = this->peclet_s();
     // const double PeSt_s = this->peclet_strouhal_s();
  
     // Now calculate the concentration and derivatives at this point
     // Assuming the same shape functions are used (which they are)
     double interpolated_C = 0.0;
     double dCdt = 0.0;
     // The tangent vectors and velocity
     const unsigned n_dim = this->node_pt(0)->ndim();
     Vector<double> interpolated_u(n_dim, 0.0);
     Vector<double> mesh_velocity(n_dim, 0.0);
     Vector<double> interpolated_grad_C(n_dim, 0.0);
     double interpolated_div_u = 0.0;
  
     // Loop over the shape functions
     for (unsigned l = 0; l < n_node; l++)
     {
       const double psi = psif(l);
       const double C_ = this->nodal_value(l, this->C_index[l]);
  
       interpolated_C += C_ * psi;
       dCdt += dcdt_surface(l) * psi;
       // Velocity and Mesh Velocity
       for (unsigned j = 0; j < n_dim; j++)
       {
         const double u_ = this->nodal_value(l, u_index[j]);
         interpolated_u[j] += u_ * psi;
         mesh_velocity[j] += this->dnodal_position_dt(l, j) * psi;
         interpolated_grad_C[j] += C_ * dpsifdS(l, j);
         interpolated_div_u += u_ * dpsifdS_div(l, j);
       }
     }
  
     // Pre-compute advection term
     double interpolated_advection_term = interpolated_C * interpolated_div_u;
     for (unsigned i = 0; i < n_dim; i++)
     {
       interpolated_advection_term +=
         (interpolated_u[i] - mesh_velocity[i]) * interpolated_grad_C[i];
     }
  
  
     // 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)
       {
         // Time derivative term
         residuals[local_eqn] += dCdt * psif(l) * W * J;
  
         // First Advection term
         residuals[local_eqn] += interpolated_advection_term * psif(l) * W * J;
  
         // Diffusion term
         double diffusion_term = 0.0;
         for (unsigned i = 0; i < n_dim; i++)
         {
           diffusion_term += interpolated_grad_C[i] * dpsifdS(l, i);
         }
         residuals[local_eqn] += (1.0 / Pe_s) * diffusion_term * 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 time stepper
             TimeStepper* time_stepper_pt = this->node_pt(l2)->time_stepper_pt();
  
             // Get the unknown c_index
             local_unknown = this->nodal_local_eqn(l2, this->C_index[l2]);
  
             if (local_unknown >= 0)
             {
               jacobian(local_eqn, local_unknown) +=
                 time_stepper_pt->weight(1, 0) * psif(l2) * psif(l) * W * J;
  
               jacobian(local_eqn, local_unknown) +=
                 psif(l2) * interpolated_div_u * psif(l) * W * J;
  
               for (unsigned i = 0; i < n_dim; i++)
               {
                 jacobian(local_eqn, local_unknown) +=
                   (interpolated_u[i] - mesh_velocity[i]) * dpsifdS(l2, i) *
                   psif(l) * W * J;
               }
  
               for (unsigned i = 0; i < n_dim; i++)
               {
                 jacobian(local_eqn, local_unknown) +=
                   (1.0 / Pe_s) * dpsifdS(l2, i) * dpsifdS(l, i) * W * J;
               }
             }
  
  
             // Loop over the velocity components
             for (unsigned i2 = 0; i2 < n_dim; i2++)
             {
               // Get the unknown
               local_unknown = this->nodal_local_eqn(l2, u_index[i2]);
  
  
               // If not a boundary condition
               if (local_unknown >= 0)
               {
                 // Bits from the advection term
                 jacobian(local_eqn, local_unknown) +=
                   (interpolated_C * dpsifdS_div(l2, i2) +
                    psif(l2) * interpolated_grad_C[i2]) *
                   psif(l) * W * J;
               }
             }
           }
         }
       }
  
       if (flag)
       {
         const double dsigma = this->dsigma_dC(s);
         const double Ca = this->ca();
         for (unsigned l2 = 0; l2 < n_node; l2++)
         {
           local_unknown = this->nodal_local_eqn(l2, this->C_index[l2]);
           if (local_unknown >= 0)
           {
             const double psi_ = psif(l2);
             for (unsigned i = 0; i < n_dim; i++)
             {
               // Add the Jacobian contribution from the surface tension
               local_eqn = this->nodal_local_eqn(l, u_index[i]);
               if (local_eqn >= 0)
               {
                 jacobian(local_eqn, local_unknown) -=
                   (dsigma / Ca) * psi_ * dpsifdS_div(l, i) * J * W;
               }
             }
           }
         }
       }
  
     } // End of loop over the nodes
   }

References C_index, Global_Physical_Variables::Ca, oomph::FluidInterfaceElement::ca(), dcdt_surface(), oomph::FiniteElement::dnodal_position_dt(), dsigma_dC(), i, interpolated_C(), oomph::FluidInterfaceElement::interpolated_u(), J, j, oomph::Node::ndim(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_local_eqn(), oomph::FiniteElement::nodal_value(), oomph::FiniteElement::node_pt(), oomph::Global_Physical_Variables::Pe_s, peclet_s(), oomph::GeomObject::time_stepper_pt(), oomph::Data::time_stepper_pt(), oomph::FluidInterfaceElement::U_index_interface, oomph::QuadTreeNames::W, and oomph::TimeStepper::weight().

Referenced by oomph::SolubleSurfactantTransportInterfaceElement::add_additional_residual_contributions_interface().

◆ beta()

double oomph::SurfactantTransportInterfaceElement::beta ( )

inline

Return the Elasticity number.

     {
       return *Beta_pt;
     }

References Beta_pt.

Referenced by oomph::SolubleSurfactantTransportInterfaceElement::dsigma_dC(), dsigma_dC(), oomph::SolubleSurfactantTransportInterfaceElement::sigma(), and sigma().

◆ beta_pt()

double*& oomph::SurfactantTransportInterfaceElement::beta_pt ( )

inline

Access function for pointer to the Elasticity number.

     {
       return Beta_pt;
     }

References Beta_pt.

Referenced by InterfaceProblem< ELEMENT, TIMESTEPPER >::InterfaceProblem().

◆ dcdt_surface()

double oomph::SurfactantTransportInterfaceElement::dcdt_surface ( const unsigned & l ) const

protected

The time derivative of the surface concentration.

   {
     // Get the data's timestepper
     TimeStepper* time_stepper_pt = this->node_pt(l)->time_stepper_pt();
  
     // Initialise dudt
     double dcdt = 0.0;
     // Loop over the timesteps, if there is a non Steady timestepper
     if (time_stepper_pt->type() != "Steady")
     {
       // Number of timsteps (past & present)
       const unsigned n_time = time_stepper_pt->ntstorage();
  
       for (unsigned t = 0; t < n_time; t++)
       {
         dcdt += time_stepper_pt->weight(1, t) *
                 this->nodal_value(t, l, this->C_index[l]);
       }
     }
     return dcdt;
   }

References C_index, oomph::FiniteElement::nodal_value(), oomph::FiniteElement::node_pt(), oomph::TimeStepper::ntstorage(), plotPSD::t, oomph::GeomObject::time_stepper_pt(), oomph::Data::time_stepper_pt(), oomph::TimeStepper::type(), and oomph::TimeStepper::weight().

Referenced by add_additional_residual_contributions_interface().

◆ dsigma_dC()

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

inlineprotectedvirtual

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

Reimplemented in oomph::SolubleSurfactantTransportInterfaceElement.

     {
       return -this->beta();
     }

References beta().

Referenced by add_additional_residual_contributions_interface().

◆ fill_in_contribution_to_jacobian_and_mass_matrix()

void oomph::SurfactantTransportInterfaceElement::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
     }

References oomph::FiniteElement::fill_in_contribution_to_jacobian().

◆ integrate_c()

double oomph::SurfactantTransportInterfaceElement::integrate_c ( )

Compute the concentration intergated over the surface area.

   {
     // Find out how many nodes there are
     unsigned n_node = this->nnode();
  
     const unsigned el_dim = this->dim();
     const unsigned n_dim = this->nodal_dimension();
  
     // Set up memeory for the shape functions
     Shape psif(n_node);
     DShape dpsifds(n_node, el_dim);
     DShape dpsifdS(n_node, n_dim);
     DShape dpsifdS_div(n_node, n_dim);
  
     // Set the value of n_intpt
     unsigned n_intpt = this->integral_pt()->nweight();
  
     // Storage for the local coordinate
     Vector<double> s(el_dim);
  
     // Storage for the total mass
     double mass = 0.0;
  
     // Loop over the integration points
     for (unsigned ipt = 0; ipt < n_intpt; ipt++)
     {
       // Get the local coordinate at the integration point
       for (unsigned i = 0; i < el_dim; i++)
       {
         s[i] = this->integral_pt()->knot(ipt, i);
       }
  
       // Get the integral weight
       double W = this->integral_pt()->weight(ipt);
  
       // Call the derivatives of the shape function
       this->dshape_local_at_knot(ipt, psif, dpsifds);
  
       Vector<double> interpolated_x(n_dim, 0.0);
       DenseMatrix<double> interpolated_t(el_dim, n_dim, 0.0);
       double interpolated_c = 0.0;
  
       // Loop over the shape functions
       for (unsigned l = 0; l < n_node; l++)
       {
         const double psi_ = psif(l);
         interpolated_c += this->nodal_value(l, this->C_index[l]) * psi_;
         // Loop over directional components
         for (unsigned i = 0; i < n_dim; i++)
         {
           // Coordinate
           interpolated_x[i] += this->nodal_position(l, i) * psi_;
  
           // Calculate the tangent vectors
           for (unsigned j = 0; j < el_dim; j++)
           {
             interpolated_t(j, i) += this->nodal_position(l, i) * dpsifds(l, j);
           }
         }
       }
  
       // Calculate the surface gradient and divergence
       double J = this->compute_surface_derivatives(
         psif, dpsifds, interpolated_t, interpolated_x, dpsifdS, dpsifdS_div);
  
       mass += interpolated_c * W * J;
     }
     return mass;
   }

References C_index, oomph::FluidInterfaceElement::compute_surface_derivatives(), oomph::FiniteElement::dim(), oomph::FiniteElement::dshape_local_at_knot(), el_dim, i, oomph::FiniteElement::integral_pt(), oomph::FaceElement::interpolated_x(), J, j, oomph::Integral::knot(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_dimension(), oomph::FiniteElement::nodal_position(), oomph::FiniteElement::nodal_value(), oomph::Integral::nweight(), s, oomph::QuadTreeNames::W, and oomph::Integral::weight().

Referenced by InterfaceProblem< ELEMENT, TIMESTEPPER >::compute_total_mass().

◆ interpolated_C()

double oomph::SurfactantTransportInterfaceElement::interpolated_C ( const Vector< double > & s )

protected

Get the surfactant concentration.

   {
     // Find number of nodes
     unsigned n_node = this->nnode();
  
     // 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, this->C_index[l]) * psi(l);
     }
  
     return (C);
   }

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

Referenced by add_additional_residual_contributions_interface(), oomph::SolubleSurfactantTransportInterfaceElement::dsigma_dC(), oomph::SolubleSurfactantTransportInterfaceElement::integrated_C(), oomph::SolubleSurfactantTransportInterfaceElement::output(), output(), and oomph::SolubleSurfactantTransportInterfaceElement::sigma().

◆ output() [1/4]

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

inlinevirtual

Overload the C-style output function.

Reimplemented from oomph::FluidInterfaceElement.

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

     {
       FiniteElement::output(file_pt);
     }

References oomph::FiniteElement::output().

◆ output() [2/4]

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

inlinevirtual

C-style Output function.

Reimplemented from oomph::FluidInterfaceElement.

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

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

References oomph::FiniteElement::output().

◆ output() [3/4]

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

inlinevirtual

Overload the output function.

Reimplemented from oomph::FluidInterfaceElement.

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

     {
       FiniteElement::output(outfile);
     }

References oomph::FiniteElement::output().

◆ output() [4/4]

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

virtual

Overload the output function.

Reimplemented from oomph::FluidInterfaceElement.

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

   {
     outfile.precision(16);
  
     const unsigned el_dim = this->dim();
     const unsigned n_dim = this->nodal_dimension();
     const unsigned n_velocity = this->U_index_interface.size();
  
     // Set output Vector
     Vector<double> s(el_dim);
     Vector<double> n(n_dim);
     Vector<double> u(n_velocity);
  
  
     outfile << this->tecplot_zone_string(n_plot);
  
     // Loop over plot points
     unsigned num_plot_points = this->nplot_points(n_plot);
     for (unsigned iplot = 0; iplot < num_plot_points; iplot++)
     {
       // Get local coordinates of plot point
       this->get_s_plot(iplot, n_plot, s);
       // Get the outer unit normal
       this->outer_unit_normal(s, n);
  
       double u_n = 0.0;
       for (unsigned i = 0; i < n_velocity; i++)
       {
         u[i] = this->interpolated_u(s, i);
       }
  
       // Not the same as above for axisymmetric case
       for (unsigned i = 0; i < n_dim; i++)
       {
         u_n += u[i] * n[i];
       }
  
       // Output the x,y,u,v
       for (unsigned i = 0; i < n_dim; i++)
         outfile << this->interpolated_x(s, i) << " ";
       for (unsigned i = 0; i < n_dim; i++) outfile << u[i] << " ";
       // Output a dummy pressure
       outfile << 0.0 << " ";
       // Output the concentration
       outfile << interpolated_C(s) << " ";
       // Output the interfacial tension
       outfile << sigma(s) << " ";
       for (unsigned i = 0; i < n_dim; i++)
       {
         outfile << u[i] - u_n * n[i] << " ";
       }
       outfile << std::endl;
     }
     outfile << std::endl;
   }

References oomph::FiniteElement::dim(), el_dim, oomph::FiniteElement::get_s_plot(), i, interpolated_C(), oomph::FluidInterfaceElement::interpolated_u(), oomph::FaceElement::interpolated_x(), n, oomph::FiniteElement::nodal_dimension(), oomph::FiniteElement::nplot_points(), oomph::FaceElement::outer_unit_normal(), s, sigma(), oomph::FiniteElement::tecplot_zone_string(), oomph::FluidInterfaceElement::u(), and oomph::FluidInterfaceElement::U_index_interface.

◆ peclet_s()

double oomph::SurfactantTransportInterfaceElement::peclet_s ( )

inline

Return the surface peclect number.

     {
       return *Peclet_S_pt;
     }

References Peclet_S_pt.

Referenced by add_additional_residual_contributions_interface().

◆ peclet_s_pt()

double*& oomph::SurfactantTransportInterfaceElement::peclet_s_pt ( )

inline

Access function for pointer to the surface Peclet number.

     {
       return Peclet_S_pt;
     }

References Peclet_S_pt.

Referenced by InterfaceProblem< ELEMENT, TIMESTEPPER >::InterfaceProblem().

◆ peclet_strouhal_s()

double oomph::SurfactantTransportInterfaceElement::peclet_strouhal_s ( )

inline

Return the surface peclect strouhal number.

     {
       return *Peclet_Strouhal_S_pt;
     }

References Peclet_Strouhal_S_pt.

◆ peclet_strouhal_s_pt()

double*& oomph::SurfactantTransportInterfaceElement::peclet_strouhal_s_pt ( )

inline

Access function for pointer to the surface Peclet x Strouhal number.

     {
       return Peclet_Strouhal_S_pt;
     }

References Peclet_Strouhal_S_pt.

Referenced by InterfaceProblem< ELEMENT, TIMESTEPPER >::InterfaceProblem().

◆ set_c_index()

void oomph::SurfactantTransportInterfaceElement::set_c_index ( const Vector< unsigned > & c_index )

inline

     {
       this->C_index = c_index;
     }

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

◆ sigma()

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

protectedvirtual

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

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);
  
     // Now interpolate the temperature and surfactant concentration
     double C = 0.0;
     for (unsigned l = 0; l < n_node; l++)
     {
       C += this->nodal_value(l, this->C_index[l]) * psi(l);
     }
  
     // Get the Elasticity numbers
     double Beta = this->beta();
     // Return the variable surface tension
     return (1.0 - Beta * (C - 1.0));
   }

References Global::Beta, beta(), C_index, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_value(), and oomph::FiniteElement::shape().

Referenced by output().

Member Data Documentation

◆ Beta_pt

double* oomph::SurfactantTransportInterfaceElement::Beta_pt

private

Pointer to an Elasticity number.

Referenced by beta(), beta_pt(), and SurfactantTransportInterfaceElement().

◆ C_index

Vector<unsigned> oomph::SurfactantTransportInterfaceElement::C_index

protected

Index at which the surfactant concentration is stored at the nodes

Referenced by oomph::SolubleSurfactantTransportInterfaceElement::add_additional_residual_contributions_interface(), add_additional_residual_contributions_interface(), dcdt_surface(), integrate_c(), oomph::SolubleSurfactantTransportInterfaceElement::integrated_C(), interpolated_C(), and sigma().

◆ Default_Physical_Constant_Value

double oomph::SurfactantTransportInterfaceElement::Default_Physical_Constant_Value

staticprotected

Initial value:

=

1.0

Default value of the physical constants.

Referenced by oomph::SolubleSurfactantTransportInterfaceElement::SolubleSurfactantTransportInterfaceElement(), and SurfactantTransportInterfaceElement().

◆ Peclet_S_pt

double* oomph::SurfactantTransportInterfaceElement::Peclet_S_pt

private

Pointer to Surface Peclet number.

Referenced by peclet_s(), peclet_s_pt(), and SurfactantTransportInterfaceElement().

◆ Peclet_Strouhal_S_pt

double* oomph::SurfactantTransportInterfaceElement::Peclet_Strouhal_S_pt

private

Pointer to the surface Peclect Strouhal number.

Referenced by peclet_strouhal_s(), peclet_strouhal_s_pt(), and SurfactantTransportInterfaceElement().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Static Protected Attributes

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ SurfactantTransportInterfaceElement()

Member Function Documentation

◆ add_additional_residual_contributions_interface()

◆ beta()

◆ beta_pt()

◆ dcdt_surface()

◆ dsigma_dC()

◆ fill_in_contribution_to_jacobian_and_mass_matrix()

◆ integrate_c()

◆ interpolated_C()

◆ output() [1/4]

◆ output() [2/4]

◆ output() [3/4]

◆ output() [4/4]

◆ peclet_s()

◆ peclet_s_pt()

◆ peclet_strouhal_s()

◆ peclet_strouhal_s_pt()

◆ set_c_index()

◆ sigma()

Member Data Documentation

◆ Beta_pt

◆ C_index

◆ Default_Physical_Constant_Value

◆ Peclet_S_pt

◆ Peclet_Strouhal_S_pt