Specialise to the Axisymmetric geometry. More...
#include <surfactant_transport_elements.h>
Public Member Functions | |
ElasticAxisymmetricSurfactantTransportInterfaceElement (FiniteElement *const &element_pt, const int &face_index) | |
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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... | |
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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... | |
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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... | |
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AxisymmetricDerivatives () | |
Additional Inherited Members | |
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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... | |
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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... | |
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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... | |
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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... | |
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Vector< unsigned > | C_index |
Index at which the surfactant concentration is stored at the nodes. More... | |
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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... | |
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static double | Default_Physical_Constant_Value |
Default value of the physical constants. More... | |
Specialise to the Axisymmetric geometry.
Definition at line 307 of file surfactant_transport_elements.h.
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inline |
Definition at line 314 of file surfactant_transport_elements.h.