Interface class to handle the mass transport between bulk and surface as well as the surfactant transport along the. More...

Inheritance diagram for ElasticAxisymmetricSolubleSurfactantTransportInterfaceElement< ELEMENT >:

Public Member Functions
	ElasticAxisymmetricSolubleSurfactantTransportInterfaceElement (FiniteElement *const &element_pt, const int &face_index)
	Constructor that passes the bulk element and face index down to the underlying. More...

double	alpha ()
	Return the adsorption number. More...

double	k ()
	Return the solubility nubmer. More...

double *&	alpha_pt ()
	Access function for pointer to adsorption number. More...

double *&	k_pt ()
	Access function for pointer to solubility number. More...

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

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

Public Member Functions inherited from oomph::ElasticUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, AxisymmetricDerivatives, ELEMENT >
	ElasticUpdateFluidInterfaceElement (FiniteElement *const &element_pt, const int &face_index, const unsigned &id=0)
	Constructor, pass a pointer to the bulk element and the face index of the bulk element to which the element is to be attached to. The optional identifier can be used to distinguish the additional nodal value (Lagr mult) created by this element from those created by other FaceElements. More...

double	zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
	The "global" intrinsic coordinate of the element when viewed as part of a geometric object should be given by the FaceElement representation, by default. More...

double &	lagrange (const unsigned &n)
	Return the lagrange multiplier at local node n. More...

void	fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
	Fill in contribution to residuals and Jacobian. More...

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

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

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

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

void	add_additional_residual_contributions_interface (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag, const Shape &psif, const DShape &dpsifds, const DShape &dpsifdS, const DShape &dpsifdS_div, const Vector< double > &s, const Vector< double > &interpolated_x, const Vector< double > &interpolated_n, const double &W, const double &J)
	Helper function to calculate the additional contributions to be added at each integration point. This deals with Lagrange multiplier contribution, as well as any additional contributions by the other equations. More...

virtual FluidInterfaceBoundingElement *	make_bounding_element (const int &face_index)
	Create an "bounding" element (here actually a 2D line element of type ElasticLineFluidInterfaceBoundingElement<ELEMENT> that allows the application of a contact angle boundary condition on the the specified face. More...

Public Member Functions inherited from oomph::SurfactantTransportInterfaceElement
	SurfactantTransportInterfaceElement ()
	Constructor that passes the bulk element and face index down to the underlying. More...

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

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

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

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

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

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

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

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

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

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

Protected Member Functions inherited from oomph::ElasticUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, AxisymmetricDerivatives, ELEMENT >
double	compute_surface_derivatives (const Shape &psi, const DShape &dpsids, const DenseMatrix< double > &interpolated_t, const Vector< double > &interpolated_x, DShape &surface_gradient, DShape &surface_divergence)
	Fill in the specific surface derivative calculations by calling the appropriate function from the derivative class. More...

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

virtual double	dsigma_dC (const Vector< double > &s)
	Return the derivative of sigma with respect to C For use in computing the Jacobian. More...

void	fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)
	Add the element's contribution to its residuals vector, jacobian matrix and mass matrix. More...

Protected Member Functions inherited from oomph::FluidInterfaceElement
int	pext_local_eqn ()
	Access function for the local equation number that corresponds to the external pressure. More...

virtual void	fill_in_generic_residual_contribution_interface (Vector< double > &residuals, DenseMatrix< double > &jacobian, unsigned flag)
	Helper function to calculate the residuals and (if flag==1) the Jacobian of the equations. This is implemented generically using the surface divergence information that is overloaded in each element i.e. axisymmetric, two- or three-dimensional. More...

Protected Member Functions inherited from oomph::AxisymmetricDerivatives
double	compute_surface_derivatives (const Shape &psi, const DShape &dpsids, const DenseMatrix< double > &interpolated_t, const Vector< double > &interpolated_x, DShape &surface_gradient, DShape &surface_divergence)
	Fill in the specific surface derivative calculations. More...

Private Attributes
double *	Alpha_pt
	Pointer to adsorption number. More...

double *	K_pt
	Pointer to solubility number. More...

unsigned	C_bulk_index
	Storage for the index at which the bulk concentration is stored. More...

Additional Inherited Members
Protected Attributes inherited from oomph::SurfactantTransportInterfaceElement
Vector< unsigned >	C_index
	Index at which the surfactant concentration is stored at the nodes. More...

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

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...

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

Detailed Description

template<class ELEMENT>
class ElasticAxisymmetricSolubleSurfactantTransportInterfaceElement< ELEMENT >

Interface class to handle the mass transport between bulk and surface as well as the surfactant transport along the.

Definition at line 142 of file rayleigh_instability_soluble_surfactant.cc.

Constructor & Destructor Documentation

◆ ElasticAxisymmetricSolubleSurfactantTransportInterfaceElement()

template<class ELEMENT >

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

inline

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

Definition at line 328 of file rayleigh_instability_soluble_surfactant.cc.

Member Function Documentation

◆ add_additional_residual_contributions_interface()

template<class ELEMENT >

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

inlineprotectedvirtual

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

Reimplemented from oomph::FluidInterfaceElement.

Definition at line 212 of file rayleigh_instability_soluble_surfactant.cc.

References oomph::ElasticUpdateFluidInterfaceElement< SurfactantTransportInterfaceElement, AxisymmetricDerivatives, ELEMENT >::add_additional_residual_contributions_interface().