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#include <interface_elements.h>
Public Member Functions | |
FluidInterfaceBoundingElement () | |
Constructor. More... | |
WallUnitNormalFctPt & | wall_unit_normal_fct_pt () |
Access function: Pointer to wall unit normal function. More... | |
WallUnitNormalFctPt | wall_unit_normal_fct_pt () const |
Access function: Pointer to wall unit normal function. Const version. More... | |
Vector< unsigned > & | u_index_interface_boundary () |
Access for nodal index at which the velocity components are stored. More... | |
void | set_contact_angle (double *const &angle_pt, const bool &strong=true) |
double *& | contact_angle_pt () |
Access function to the pointer specifying the prescribed contact angle. More... | |
double *& | ca_pt () |
Access function to the pointer specifying the capillary number. More... | |
double | ca () |
Return the value of the capillary number. More... | |
double & | contact_angle () |
Return value of the contact angle. More... | |
void | fill_in_contribution_to_residuals (Vector< double > &residuals) |
Calculate the residuals. More... | |
virtual void | fill_in_generic_residual_contribution_interface_boundary (Vector< double > &residuals, DenseMatrix< double > &jacobian, unsigned flag)=0 |
Calculate the generic residuals contribution. More... | |
virtual void | add_additional_residual_contributions_interface_boundary (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag, const Shape &psif, const DShape &dpsifds, const Vector< double > &interpolated_n, const double &W) |
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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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... | |
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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 ¤t_string) const |
virtual void | describe_nodal_local_dofs (std::ostream &out, const std::string ¤t_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 |
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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 ¤t_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 ¶meter_pt, Vector< double > &dres_dparam) |
virtual void | get_djacobian_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam) |
virtual void | get_djacobian_and_dmass_matrix_dparameter (double *const ¶meter_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 |
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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 | |
virtual int | kinematic_local_eqn (const unsigned &n)=0 |
void | wall_unit_normal (const Vector< double > &x, Vector< double > &normal) |
void | update_in_external_fd (const unsigned &i) |
void | reset_in_external_fd (const unsigned &i) |
void | reset_after_external_fd () |
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void | add_additional_values (const Vector< unsigned > &nadditional_values, const unsigned &id) |
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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 |
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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 | fill_in_contribution_to_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix) |
virtual void | fill_in_contribution_to_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix) |
virtual void | fill_in_contribution_to_dresiduals_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam) |
virtual void | fill_in_contribution_to_djacobian_dparameter (double *const ¶meter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam) |
virtual void | fill_in_contribution_to_djacobian_and_dmass_matrix_dparameter (double *const ¶meter_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 | |
unsigned | Contact_angle_flag |
Vector< unsigned > | U_index_interface_boundary |
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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 |
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MacroElement * | Macro_elem_pt |
Pointer to the element's macro element (NULL by default) More... | |
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unsigned | NLagrangian |
Number of Lagrangian (intrinsic) coordinates. More... | |
unsigned | Ndim |
Number of Eulerian coordinates. More... | |
TimeStepper * | Geom_object_time_stepper_pt |
Private Types | |
typedef void(* | WallUnitNormalFctPt) (const Vector< double > &x, Vector< double > &unit_normal) |
Private Attributes | |
WallUnitNormalFctPt | Wall_unit_normal_fct_pt |
double * | Contact_angle_pt |
Pointer to the desired value of the contact angle (if any) More... | |
double * | Ca_pt |
Pointer to the desired value of the capillary number. More... | |
Additional Inherited Members | |
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typedef void(* | SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &) |
typedef void(* | UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &) |
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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 |
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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 |
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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} |
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static DenseMatrix< double > | Dummy_matrix |
static std::deque< double * > | Dof_pt_deque |
Base class for elements at the boundary of free surfaces or interfaces, used typically to impose contact angle boundary conditions. The elemental dimensions are one less than those of the surface elements, or two less than those of the original bulk elements. Thus in two-dimensional and axi-symmetric problems, are points, but in three-dimensional problems, they are lines. These boundaries may be in contact with a solid surface, in which case the normal to that surface must be provided.
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Function pointer to a wall unit normal function. Returns the unit normal on the wall, at the specified Eulerian coordinate.
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Constructor.
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inlinevirtual |
Empty helper function to calculate the additional contributions arising from the node update strategy to the Jacobian within the integration loop. This will be overloaded by elements that require contributions to their underlying equations from boundary integrals. The shape functions, their derivatives w.r.t. to the local coordinates, the unit normal and integral weight are passed in so that they do not have to be recalculated.
Reimplemented in oomph::SpineVolumeConstraintPointElement< ELEMENT >.
Referenced by oomph::PointFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary(), and oomph::LineFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary().
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inline |
Return the value of the capillary number.
References Ca_pt, and OOMPH_EXCEPTION_LOCATION.
Referenced by oomph::PointFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary(), and oomph::LineFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary().
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inline |
Access function to the pointer specifying the capillary number.
References Ca_pt.
Referenced by CapProblem< ELEMENT >::CapProblem(), PseudoSolidCapProblem< ELEMENT >::create_contact_angle_element(), InclinedPlaneProblem< ELEMENT, INTERFACE_ELEMENT >::make_free_surface_elements(), and ThreeDimBethertonProblem< ELEMENT >::ThreeDimBethertonProblem().
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Return value of the contact angle.
References Contact_angle_pt, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::Global_string_for_annotation::string().
Referenced by oomph::PointFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary(), and oomph::LineFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary().
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Access function to the pointer specifying the prescribed contact angle.
References Contact_angle_pt.
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Calculate the residuals.
Reimplemented from oomph::GeneralisedElement.
References oomph::GeneralisedElement::Dummy_matrix, and fill_in_generic_residual_contribution_interface_boundary().
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pure virtual |
Calculate the generic residuals contribution.
Implemented in oomph::LineFluidInterfaceBoundingElement, and oomph::PointFluidInterfaceBoundingElement.
Referenced by fill_in_contribution_to_residuals().
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Function that is used to determine the local equation number of the kinematic equation associated with the nodes of the element This must be overloaded depending on the node update scheme
Implemented in oomph::ElasticLineFluidInterfaceBoundingElement< ELEMENT >, oomph::ElasticPointFluidInterfaceBoundingElement< ELEMENT >, oomph::SpineLineFluidInterfaceBoundingElement< ELEMENT >, and oomph::SpinePointFluidInterfaceBoundingElement< ELEMENT >.
Referenced by oomph::PointFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary(), and oomph::LineFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary().
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Overload the C-style output function.
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::ElasticLineFluidInterfaceBoundingElement< ELEMENT >, oomph::ElasticPointFluidInterfaceBoundingElement< ELEMENT >, oomph::SpineLineFluidInterfaceBoundingElement< ELEMENT >, and oomph::SpinePointFluidInterfaceBoundingElement< ELEMENT >.
References oomph::FiniteElement::output().
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inlinevirtual |
C-style Output function.
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::ElasticLineFluidInterfaceBoundingElement< ELEMENT >, oomph::ElasticPointFluidInterfaceBoundingElement< ELEMENT >, oomph::SpineLineFluidInterfaceBoundingElement< ELEMENT >, and oomph::SpinePointFluidInterfaceBoundingElement< ELEMENT >.
References oomph::FiniteElement::output().
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inlinevirtual |
Overload the output function.
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::ElasticLineFluidInterfaceBoundingElement< ELEMENT >, oomph::ElasticPointFluidInterfaceBoundingElement< ELEMENT >, oomph::SpineLineFluidInterfaceBoundingElement< ELEMENT >, and oomph::SpinePointFluidInterfaceBoundingElement< ELEMENT >.
References oomph::FiniteElement::output().
Referenced by oomph::SpinePointFluidInterfaceBoundingElement< ELEMENT >::output(), oomph::SpineLineFluidInterfaceBoundingElement< ELEMENT >::output(), oomph::ElasticPointFluidInterfaceBoundingElement< ELEMENT >::output(), and oomph::ElasticLineFluidInterfaceBoundingElement< ELEMENT >::output().
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Output function.
Reimplemented from oomph::FiniteElement.
Reimplemented in oomph::ElasticLineFluidInterfaceBoundingElement< ELEMENT >, oomph::ElasticPointFluidInterfaceBoundingElement< ELEMENT >, oomph::SpineLineFluidInterfaceBoundingElement< ELEMENT >, and oomph::SpinePointFluidInterfaceBoundingElement< ELEMENT >.
References oomph::FiniteElement::output().
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inlineprotectedvirtual |
We require a final node update in the bulk element after all finite differencing
Reimplemented from oomph::GeneralisedElement.
References oomph::FaceElement::bulk_element_pt(), and oomph::FiniteElement::node_update().
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inlineprotectedvirtual |
The only external data are these geometric data so We can omit the reset function (relying on the next update
Reimplemented from oomph::GeneralisedElement.
void oomph::FluidInterfaceBoundingElement::set_contact_angle | ( | double *const & | angle_pt, |
const bool & | strong = true |
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Set a pointer to the desired contact angle. Optional boolean (defaults to true) chooses strong imposition via hijacking (true) or weak imposition via addition to momentum equation (false). The default strong imposition is appropriate for static contact angle problems.
/////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////// Set a pointer to the desired contact angle. Optional boolean (defaults to true) chooses strong imposition via hijacking (true) or weak imposition via addition to momentum equation (false). The default strong imposition is appropriate for static contact problems.
References oomph::FaceElement::bulk_element_pt(), oomph::FaceElement::Bulk_node_number, Contact_angle_flag, and Contact_angle_pt.
Referenced by CapProblem< ELEMENT >::CapProblem(), PseudoSolidCapProblem< ELEMENT >::create_contact_angle_element(), and InclinedPlaneProblem< ELEMENT, INTERFACE_ELEMENT >::make_free_surface_elements().
Access for nodal index at which the velocity components are stored.
References U_index_interface_boundary.
Referenced by oomph::FixedVolumeSpineLineMarangoniFluidInterfaceElement< ELEMENT >::make_bounding_element().
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inlineprotectedvirtual |
The geometric data of the parent element is included as external data and so a (bulk) node update must take place after the variation of any of this external data
Reimplemented from oomph::GeneralisedElement.
References oomph::FaceElement::bulk_element_pt(), and oomph::FiniteElement::node_update().
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inlineprotected |
Function that returns the unit normal of the bounding wall directed out of the fluid
References WallFunction::normal(), OOMPH_EXCEPTION_LOCATION, Wall_unit_normal_fct_pt, and plotDoE::x.
Referenced by oomph::PointFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary(), and oomph::LineFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary().
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inline |
Access function: Pointer to wall unit normal function.
References Wall_unit_normal_fct_pt.
Referenced by CapProblem< ELEMENT >::CapProblem(), PseudoSolidCapProblem< ELEMENT >::create_contact_angle_element(), and InclinedPlaneProblem< ELEMENT, INTERFACE_ELEMENT >::make_free_surface_elements().
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Access function: Pointer to wall unit normal function. Const version.
References Wall_unit_normal_fct_pt.
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private |
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Flag used to determine whether the contact angle is to be used (0 if not), and whether it will be applied weakly as a force term in the momentum equations (1) or by hijacking the kinematic condition (2).
Referenced by oomph::PointFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary(), oomph::LineFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary(), and set_contact_angle().
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private |
Pointer to the desired value of the contact angle (if any)
Referenced by contact_angle(), contact_angle_pt(), and set_contact_angle().
Index at which the i-th velocity component is stored in the element's nodes
Referenced by oomph::PointFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary(), oomph::LineFluidInterfaceBoundingElement::fill_in_generic_residual_contribution_interface_boundary(), and u_index_interface_boundary().
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Pointer to a wall normal function that returns the wall unit normal as a function of position in global Eulerian coordinates.
Referenced by wall_unit_normal(), and wall_unit_normal_fct_pt().