Inheritance diagram for oomph::HeatedLinearSurfaceContactElement< ELEMENT >:

Public Member Functions
	HeatedLinearSurfaceContactElement (FiniteElement *const &element_pt, const int &face_index, const unsigned &id=0, const bool &called_from_refineable_constructor=false)

	HeatedLinearSurfaceContactElement ()
	Default constructor. More...

void	describe_local_dofs (std::ostream &out, const std::string &current_string) const

void	fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
	Final over-rider – use version in element with external element. More...

double	heat_flux (const Vector< double > &s) const

double	zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const
	hierher overload... More...

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

bool	use_collocated_heat_flux_flag ()
	or integrated using the hat function (false) More...

bool *&	use_collocated_heat_flux_flag_pt ()
	Access function: Pointer to flag to use collocated heat_flux. More...

bool *	use_collocated_heat_flux_flag_pt () const
	Access function: Pointer to flag to use collocated heat_flux (const version) More...

Public Member Functions inherited from oomph::LinearSurfaceContactElement< ELEMENT >
	LinearSurfaceContactElement (FiniteElement *const &element_pt, const int &face_index, const unsigned &id=0, const bool &called_from_refineable_constructor=false)

	LinearSurfaceContactElement ()
	Default constructor. More...

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

void	resulting_contact_force (Vector< double > &contact_force)
	Resulting contact force. More...

Public Member Functions inherited from oomph::SurfaceContactElementBase< ELEMENT >
	SurfaceContactElementBase (FiniteElement *const &element_pt, const int &face_index, const unsigned &id=0, const bool &called_from_refineable_constructor=false)
	value of the index and its limit More...

	SurfaceContactElementBase ()
	Default constructor. More...

void	enable_stick ()

double	s_min () const
	Min value of local coordinate. More...

double	s_max () const
	Max. value of local coordinate. More...

void	disable_stick ()

bool	is_stick_enabled ()

void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Return the residuals. More...

Penetrator *	penetrator_pt () const
	Pointer to penetrator. More...

void	set_penetrator_pt (Penetrator *penetrator_pt)
	Set pointer to penetrator. More...

void	output (FILE *file_pt)
	C_style output function. More...

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

void	shape_p (const Vector< double > &s, Shape &psi) const
	Shape fct for lagrange multiplier. More...

void	shape_i (const Vector< double > &s, Shape &psi) const

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_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)

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

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

virtual	~TemplateFreeContactElementBase ()
	Destructor. More...

void	traction_fct (const Vector< double > &x, Vector< double > &p)

bool	use_isoparametric_flag () const

bool	use_collocated_penetration_flag ()

bool	use_collocated_contact_pressure_flag ()

TractionFctPt &	traction_fct_pt ()
	Access function: Pointer to body force function. More...

TractionFctPt	traction_fct_pt () const
	Access function: Pointer to body force function (const version) More...

bool *&	use_isoparametric_flag_pt ()
	Access function: Pointer to flag to use isoparametric. More...

bool *	use_isoparametric_flag_pt () const

bool *&	use_collocated_penetration_flag_pt ()
	Access function: Pointer to flag to use collocated penetration. More...

bool *	use_collocated_penetration_flag_pt () const

bool *&	use_collocated_contact_pressure_flag_pt ()
	Access function: Pointer to flag to use collocated contact pressure. More...

bool *	use_collocated_contact_pressure_flag_pt () const

Public Member Functions inherited from oomph::TemplateFreeHeatedLinearSurfaceContactElementBase
virtual	~TemplateFreeHeatedLinearSurfaceContactElementBase ()
	Virtual destructor (empty) More...

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

virtual	~ElementWithExternalElement ()
	The destructor, clean up any allocated memory. More...

	ElementWithExternalElement (const ElementWithExternalElement &)=delete
	Broken copy constructor. More...

void	operator= (const ElementWithExternalElement &)=delete
	Broken assignment operator. More...

bool	storage_has_been_allocated () const
	Helper function to check if storage has actually been allocated. More...

FiniteElement *&	external_element_pt (const unsigned &interaction_index, const unsigned &ipt)

FiniteElement *const &	external_element_pt (const unsigned &interaction_index, const unsigned &ipt) const
	Access function to source element, const version. More...

Vector< double > &	external_element_local_coord (const unsigned &interaction_index, const unsigned &ipt)

Vector< double > const &	external_element_local_coord (const unsigned &interaction_index, const unsigned &ipt) const
	Access function to get source element's coords, const version. More...

void	output_external_elements (std::ostream &outfile, const unsigned &interaction_index)

void	initialise_external_element_storage ()

void	flush_all_external_element_storage ()
	Flush the storage for external elements. More...

void	set_ninteraction (const unsigned &n_interaction)

unsigned	ninteraction () const
	Return the number of interactions in the element. More...

virtual void	identify_all_field_data_for_external_interaction (Vector< std::set< FiniteElement * >> const &external_elements_pt, std::set< std::pair< Data *, unsigned >> &paired_interaction_data)

virtual void	identify_all_geometric_data_for_external_interaction (Vector< std::set< FiniteElement * >> const &external_elements_pt, std::set< Data * > &external_geometric_data_pt)

unsigned	nexternal_interaction_field_data () const

Vector< Data * >	external_interaction_field_data_pt () const

unsigned	nexternal_interaction_geometric_data () const

bool	add_external_geometric_data ()
	Are we including external geometric data in the element's Jacobian. More...

bool	add_external_interaction_data ()
	Are we including external data in the element's Jacobian. More...

Vector< Data * >	external_interaction_geometric_data_pt () const

void	ignore_external_geometric_data ()

void	ignore_external_interaction_data ()

void	include_external_geometric_data ()

void	include_external_interaction_data ()

bool	external_geometric_data_is_included () const

void	describe_local_dofs (std::ostream &out, const std::string &curr_string) const

Protected Member Functions
void	fill_in_contribution_to_residuals_surface_contact (Vector< double > &residuals)
	Return the residuals for the LinearSurfaceContactElement equations. More...

Protected Member Functions inherited from oomph::LinearSurfaceContactElement< ELEMENT >
void	interpolated_u_linear_elasticity (const Vector< double > &s, Vector< double > &disp) const
	Compute vector of FE interpolated displacement u at local coordinate s. More...

Protected Member Functions inherited from oomph::SurfaceContactElementBase< ELEMENT >
double	get_interpolated_lagrange_p (const Vector< double > &s)

void	penetration (const Vector< double > &x, const Vector< double > &n, double &d, bool &intersection) const
	Work out penetration of point. More...

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_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_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, 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 Member Functions inherited from oomph::ElementWithExternalElement
void	assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)

void	assign_external_interaction_data_local_eqn_numbers (const bool &store_local_dof_pt)

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

void	fill_in_jacobian_from_external_interaction_by_fd (DenseMatrix< double > &jacobian)

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

void	fill_in_jacobian_from_external_interaction_field_by_fd (DenseMatrix< double > &jacobian)

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

void	fill_in_jacobian_from_external_interaction_geometric_by_fd (DenseMatrix< double > &jacobian)

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

virtual void	update_before_external_interaction_field_fd ()

virtual void	reset_after_external_interaction_field_fd ()

virtual void	update_in_external_interaction_field_fd (const unsigned &i)

virtual void	reset_in_external_interaction_field_fd (const unsigned &i)

virtual void	update_before_external_interaction_geometric_fd ()

virtual void	reset_after_external_interaction_geometric_fd ()

virtual void	update_in_external_interaction_geometric_fd (const unsigned &i)

virtual void	reset_in_external_interaction_geometric_fd (const unsigned &i)

Protected Attributes
unsigned	Heat_flux_lagr_multiplier_id
	ID of heat flux Lagrange multiplier (to ensure continuity of temperature) More...

bool *	Use_collocated_heat_flux_flag_pt
	Set options for basis/test functions for penetration and pressure. More...

bool	activate_iso_colloc_for_contact

Protected Attributes inherited from oomph::LinearSurfaceContactElement< ELEMENT >
Vector< unsigned >	U_index_linear_elasticity_traction
	Index at which the i-th displacement component is stored. More...

Protected Attributes inherited from oomph::SurfaceContactElementBase< ELEMENT >
Penetrator *	Penetrator_pt
	Pointer to penetrator. More...

unsigned	Contact_id

bool	Enable_stick

Vector< int >	Penetrator_eq_data_type

Vector< int >	Penetrator_eq_data_index

Vector< int >	Penetrator_eq_data_data_index

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

Protected Attributes inherited from oomph::TemplateFreeContactElementBase
TractionFctPt	Traction_fct_pt

bool *	Use_isoparametric_flag_pt
	Set whether or not to use isoparametric basis function for pressure. More...

bool *	Use_collocated_penetration_flag_pt
	Set options for basis/test functions for penetration and pressure. More...

bool *	Use_collocated_contact_pressure_flag_pt
	Set options for basis/test functions for penetration and pressure. More...

Protected Attributes inherited from oomph::ElementWithExternalElement
bool	Add_external_interaction_data
	Boolean flag to indicate whether to include the external data. More...

bool	Add_external_geometric_data
	Boolean flag to indicate whether to include the external geometric data. More...

Data **	External_interaction_field_data_pt

Data **	External_interaction_geometric_data_pt

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 > &)

Public Types inherited from oomph::TemplateFreeContactElementBase
typedef void(*	TractionFctPt) (const double &t, const Vector< double > &x, Vector< double > &p)

Static Public Attributes inherited from oomph::FiniteElement
static double	Tolerance_for_singular_jacobian = 1.0e-16
	Tolerance below which the jacobian is considered singular. More...

static bool	Accept_negative_jacobian = false

static bool	Suppress_output_while_checking_for_inverted_elements

Static Public Attributes inherited from oomph::GeneralisedElement
static bool	Suppress_warning_about_repeated_internal_data

static bool	Suppress_warning_about_repeated_external_data = true

static double	Default_fd_jacobian_step = 1.0e-8

Protected Types inherited from oomph::TemplateFreeContactElementBase
enum	{ Nodal_data , Nodal_position_data , External_data }
	Enumeration for type of penetrator data. 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

Detailed Description

template<class ELEMENT>
class oomph::HeatedLinearSurfaceContactElement< ELEMENT >

//////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// Class for elements that impose contact boundary conditions either enforcing non-penetration (but "without stick"; default) or permament contact (in which case contact force can be positive or negative. Uses Lagrange-multiplier-like pressure to enforce contact/non-penetration. Almost certainly works only with 2D Penetrator at the moment. Specific implementation for linear elasticity. Also applies continuity of temperature constraint at interface

Constructor & Destructor Documentation

◆ HeatedLinearSurfaceContactElement() [1/2]

template<class ELEMENT >

oomph::HeatedLinearSurfaceContactElement< ELEMENT >::HeatedLinearSurfaceContactElement	(	FiniteElement *const &	element_pt,
		const int &	face_index,
		const unsigned &	id = `0`,
		const bool &	called_from_refineable_constructor = `false`
	)

inline

Constructor, which takes a "bulk" element and the value of the index and its limit

hierher currently deactivating collocation on contact elements

                                                                              : 
   SurfaceContactElementBase<ELEMENT>(element_pt, 
                                      face_index,
                                      id,
                                      called_from_refineable_constructor),
   LinearSurfaceContactElement<ELEMENT>(element_pt, 
                                        face_index,
                                        id,
                                        called_from_refineable_constructor),
   Use_collocated_heat_flux_flag_pt(0)
   {
    // hierher provide separate id via arg list
    Heat_flux_lagr_multiplier_id=id+1;
  
    // We need yet another additional value for each FaceElement node:
    // the normal traction (Lagrange multiplier) to be 
    // exerted onto the solid
    unsigned n_nod=this->nnode();
    Vector<unsigned> n_additional_values(n_nod,1);
    
    // Now add storage for Lagrange multipliers and set the map containing 
    // the position of the first entry of this face element's 
    // additional values.
    this->add_additional_values(n_additional_values,
                                Heat_flux_lagr_multiplier_id);
  
  
    // Set source element storage: one interaction with an external 
    // element -- the HeatedPenetratorFluxElement whose temperature we're 
    //matching
    this->set_ninteraction(1);
    
    activate_iso_colloc_for_contact = false;
    this->Use_isoparametric_flag_pt = &activate_iso_colloc_for_contact;
    this->Use_collocated_penetration_flag_pt = &activate_iso_colloc_for_contact;
    this->Use_collocated_contact_pressure_flag_pt =&activate_iso_colloc_for_contact;
  
    //If we are using a top hat function for the heat flux, we need to change 
    //the integration scheme
    if(!use_collocated_heat_flux_flag())
     {
      set_integration_scheme(new PiecewiseGauss<1,3>(s_min(),s_max()));
     }
    
   }

◆ HeatedLinearSurfaceContactElement() [2/2]

template<class ELEMENT >

oomph::HeatedLinearSurfaceContactElement< ELEMENT >::HeatedLinearSurfaceContactElement ( )

inline

Default constructor.

661 {}

Member Function Documentation

◆ describe_local_dofs()

template<class ELEMENT >

void oomph::HeatedLinearSurfaceContactElement< ELEMENT >::describe_local_dofs	(	std::ostream &	out,
		const std::string &	current_string
	)		const

inlinevirtual

Function to describe the local dofs of the element. The ostream specifies the output stream to which the description is written; the string stores the currently assembled output that is ultimately written to the output stream by Data::describe_dofs(...); it is typically built up incrementally as we descend through the call hierarchy of this function when called from Problem::describe_dofs(...)

Reimplemented from oomph::FiniteElement.

   {
    LinearSurfaceContactElement<ELEMENT>::
     describe_local_dofs(out,current_string);
    ElementWithExternalElement::describe_local_dofs(out,current_string);
   }

References out().

◆ fill_in_contribution_to_jacobian()

template<class ELEMENT >

void oomph::HeatedLinearSurfaceContactElement< ELEMENT >::fill_in_contribution_to_jacobian	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian
	)

inlinevirtual

Final over-rider – use version in element with external element.

Reimplemented from oomph::GeneralisedElement.

   {
    ElementWithExternalElement::fill_in_contribution_to_jacobian(residuals,
                                                                 jacobian);
   }

References oomph::fill_in_contribution_to_jacobian().

◆ fill_in_contribution_to_residuals_surface_contact()

template<class ELEMENT >

void oomph::HeatedLinearSurfaceContactElement< ELEMENT >::fill_in_contribution_to_residuals_surface_contact ( Vector< double > & residuals )

protectedvirtual

Return the residuals for the LinearSurfaceContactElement equations.

Overloaded fill in contributions function – includes heat flux to ensure continuity of temperature

////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////

Reimplemented from oomph::LinearSurfaceContactElement< ELEMENT >.

 {
  
  // Get pointer to bulk element
  ELEMENT *bulk_el_pt = dynamic_cast<ELEMENT*>(this->bulk_element_pt());
  
  // Get index of temperature in bulk element
  unsigned temperature_index=bulk_el_pt->u_index_ust_heat();
  
  // Spatial dimension of problem
  unsigned n_dim = this->nodal_dimension();
    
  // Contribution to contact force
  Vector<double> contact_force(n_dim,0.0);
  
  // Create vector of local residuals (start assembling contributions
  // from zero -- necessary so we can over-write pseudo-hijacked
  // contributions at the end.
  unsigned n_dof=this->ndof();
  Vector<double> local_residuals(n_dof,0.0);
  
  {
   //Find out how many nodes there are
   unsigned n_node = this->nnode();
   
   //Integer to hold the local equation number
   int local_eqn=0;
   int local_eqn_p=0;
   int local_eqn_q=0;
    
   //Set up memory for the shape functions
   Shape psi(n_node);
   DShape dpsids(n_node,n_dim-1);
  
   // Separate shape functions for Lagrange multiplier
   Shape psi_p(n_node);
  
   // Separate shape functions for integration (top hat)
   Shape psi_i(n_node);
  
   Vector<double> s(n_dim-1);
  
   // Contribution to integrated pressure
   Vector<double> pressure_integral(n_node,0.0);
      
   // Contribution to weighted penetration integral
   Vector<double> penetration_integral(n_node,0.0);
      
   // Contribution to heat flux integral
   Vector<double> heat_flux_integral(n_node,0.0);
      
   // Contribution to temperature deviation integral
   Vector<double> temp_deviation_integral(n_node,0.0);
      
   // Deformed position
   Vector<double> x_def(n_dim,0.0);
  
   //Set the value of n_intpt
   unsigned n_intpt = this->integral_pt()->nweight();
    
   //Loop over the integration points
   for(unsigned ipt=0;ipt<n_intpt;ipt++)
    {
     //Get the integral weight
     double w = this->integral_pt()->weight(ipt);
      
     //Only need to call the local derivatives
     this->dshape_local_at_knot(ipt,psi,dpsids);
      
     // Separate shape function for Lagrange multipliers 
     for(unsigned i=0;i<n_dim-1;i++)
      {
       s[i] = this->integral_pt()->knot(ipt,i);
      }
     this->shape_p(s,psi_p);
     
     //set up shape for integration
     this->shape_i(s,psi_i);
  
     // Interpolated Lagrange multiplier (pressure acting on solid)
     double interpolated_lambda_p=0.0;
  
     // Interpolated Lagrange multiplier (heat flux)
     double interpolated_lambda_q=0.0;
  
     // Interpolated temperature
     double interpolated_temp=0.0;
  
     // Displacement
     Vector<double> disp(n_dim,0.0);
      
     //Calculate the coordinates 
     Vector<double> interpolated_x(n_dim,0.0);
      
     //Also calculate the surface Vectors (derivatives wrt local coordinates)
     DenseMatrix<double> interpolated_A(n_dim-1,n_dim,0.0);   
      
     //Calculate displacements and derivatives
     for(unsigned l=0;l<n_node;l++) 
      {
       // Cast to a boundary node
       BoundaryNodeBase *bnod_pt = 
        dynamic_cast<BoundaryNodeBase*>(this->node_pt(l));
        
       // Get the index of the nodal value associated with
       // this FaceElement
       unsigned first_index=
        bnod_pt->index_of_first_value_assigned_by_face_element(this->Contact_id);
        
       // Add to Lagrange multiplier (acting as pressure on solid
       // to enforce motion to ensure non-penetration)
       interpolated_lambda_p+=this->node_pt(l)->value(first_index)*psi_p[l];
          
       // Get the index of the nodal value associated with
       // this FaceElement
       unsigned first_index_q=
        bnod_pt->index_of_first_value_assigned_by_face_element(
         this->Heat_flux_lagr_multiplier_id);
        
       // Add to Lagrange multiplier (acting as a heat flux to enforce
       // continuity of temperature across boundary)
       interpolated_lambda_q+=this->node_pt(l)->value(first_index_q)*psi_p[l];
  
       //Get temperature at this integration point
       interpolated_temp+=this->node_pt(l)->value(temperature_index)*psi[l];
  
       //Loop over directions
       for(unsigned i=0;i<n_dim;i++)
        {
         //Calculate the positions
         interpolated_x[i]+=this->nodal_position(l,i)*psi(l);
            
         //Index at which the displacement nodal value is stored
         unsigned u_nodal_index=this->U_index_linear_elasticity_traction[i];
         disp[i] += this->nodal_value(l,u_nodal_index)*psi(l);
  
         // Loop over LOCAL derivative directions, to calculate the 
         // tangent(s)
         for(unsigned j=0;j<n_dim-1;j++)
          {
           interpolated_A(j,i)+=this->nodal_position(l,i)*dpsids(l,j);
          }
        }
      }
      
     // Get the temperature on the penetrator
     double penetrator_temperature=0.0;
     if (external_element_pt(0,ipt)!=0)
      {
       Vector<double> s_ext(external_element_local_coord(0,ipt));
       TemplateFreeHeatedPenetratorFluxElementBase* el_pt=
        dynamic_cast<TemplateFreeHeatedPenetratorFluxElementBase*>(
         external_element_pt(0,ipt));
       // Note: this does NOT take contact or no contact into account
       // it simply returns the local temperature at "that point" in "that
       // element"
       penetrator_temperature=el_pt->penetrator_temperature(s_ext);
  
       /* oomph_info << "actual penetrator temperature: " 
          << penetrator_temperature << std::endl;*/
      }
     else
      {
       // hierher this should never be triggered on contact surface, 
       // throw error here? Although it may not always be a problem, depending
       // on penetrator/contact surface geometry
  
       oomph_info << "using default penetrator temperature: " 
                  << penetrator_temperature << std::endl;
      }
  
     //Now find the local deformed metric tensor from the tangent Vectors
     DenseMatrix<double> A(n_dim-1);
     for(unsigned i=0;i<n_dim-1;i++)
      {
       for(unsigned j=0;j<n_dim-1;j++)
        {
         //Initialise surface metric tensor to zero
         A(i,j) = 0.0;
         //Take the dot product
         for(unsigned k=0;k<n_dim;k++)
          { 
           A(i,j) += interpolated_A(i,k)*interpolated_A(j,k);
          }
        }
      }
      
     //Get the outer unit normal
     Vector<double> interpolated_normal(n_dim);
     this->outer_unit_normal(ipt,interpolated_normal);
      
     //Find the determinant of the metric tensor
     double Adet =0.0;
     switch(n_dim)
      {
      case 2:
       Adet = A(0,0);
       break;
      case 3:
       Adet = A(0,0)*A(1,1) - A(0,1)*A(1,0);
       break;
      default:
       throw OomphLibError(
        "Wrong dimension in SurfaceContactElement",
        "LinearSurfaceContactElement::fill_in_contribution_to_residuals()",
        OOMPH_EXCEPTION_LOCATION);
      }
      
     //Premultiply the weights and the square-root of the determinant of 
     //the metric tensor
     double W = w*sqrt(Adet);
      
     // Calculate the "load" -- Lagrange multiplier acts as traction to
     // to enforce required surface displacement and the
     // deformed position
     Vector<double> traction(n_dim);
     for (unsigned i=0;i<n_dim;i++)
      {
       traction[i]=-interpolated_lambda_p*interpolated_normal[i];
       x_def[i]=interpolated_x[i]+disp[i];
      }
  
  
     // Accumulate contribution to total contact force
     for(unsigned i=0;i<n_dim;i++)
      {
       contact_force[i]+=traction[i]*W;
      }
      
     //=====LOAD TERMS  FROM PRINCIPLE OF VIRTUAL DISPLACEMENTS========
        
     //Loop over the test functions, nodes of the element
     for(unsigned l=0;l<n_node;l++)
      {
       //Loop over the displacement components
       for(unsigned i=0;i<n_dim;i++)
        {
         local_eqn = this->nodal_local_eqn(l,i); // hierher get index
         /*IF it's not a boundary condition*/
         if(local_eqn >= 0)
          {
           //Add the loading terms to the residuals
           local_residuals[local_eqn] -= traction[i]*psi(l)*W;
          } //End of if not boundary condition
        }
       
       
       // Contribution to unsteady heat equation on surface
       local_eqn = this->nodal_local_eqn(l,temperature_index);
  
       /*IF it's not a boundary condition*/
       if(local_eqn >= 0)
        {
         //Add the loading terms to the residuals
         local_residuals[local_eqn] -= interpolated_lambda_q*psi(l)*W;
        } //End of if not boundary condition
  
     
      } //End of loop over shape functions
        
     //=====CONTRIBUTION TO CONTACT PRESSURE/LAGRANGE MULTIPLIER EQNS ========
     
     //Only calculate the integrals we need to
     if(!this->use_collocated_contact_pressure_flag())
      {
       //Loop over the nodes
       for(unsigned l=0;l<n_node;l++)
        {
         // Contribution to integrated pressure
         pressure_integral[l]+=interpolated_lambda_p*psi_i[l]*W;
        }
      }
  
     if(!this->use_collocated_penetration_flag())
      {
       // Get local penetration
       double d=0.0;
       bool intersection = false;
       this->penetration(x_def,interpolated_normal,d,intersection);
  
       //If there is no intersection, d = -max, ie the penetrator 
       //is infinitely far away
       if(!intersection)
        {
         d = -DBL_MAX;
        }
  
       for(unsigned l=0;l<n_node;l++)
        {
         
         // Contribution to weighted penetration integral
         penetration_integral[l]+=d*psi_i[l]*W;
        }
      }
  
     if(!this->use_collocated_heat_flux_flag())
      {
       for(unsigned l=0;l<n_node;l++)
        {
         // Contribution to integrated heat flux
         heat_flux_integral[l]+=interpolated_lambda_q*psi_i[l]*W;
        }
      }
  
    
     for(unsigned l=0;l<n_node;l++)
      {
       // Contribution to weighted temperature deviation integral
       temp_deviation_integral[l]+=(interpolated_temp-
                                    penetrator_temperature)*psi_i[l]*W;
      }
      
  
    } //End of loop over integration points
  
  
   // Eqn for contact pressure and heat flux
   //---------------------------------------------
   
   // Storage for nodal coordinate
   Vector<double> x(n_dim);
      
   //Loop over the nodes
   for(unsigned l=0;l<n_node;l++)
    {
     // get the node pt
     Node* nod_pt = this->node_pt(l);
        
     // Cast to a boundary node
     BoundaryNodeBase *bnod_pt =
      dynamic_cast<BoundaryNodeBase*>(nod_pt);
        
     // Get the index of the first nodal value associated with
     // this FaceElement
     unsigned first_index_p=
      bnod_pt->index_of_first_value_assigned_by_face_element(this->Contact_id);
        
     // Equation for pressure Lagrange multiplier
     local_eqn_p = this->nodal_local_eqn(l,first_index_p);
        
     // Get the index of the first nodal value associated with
     // this FaceElement
     unsigned first_index_q=
      bnod_pt->index_of_first_value_assigned_by_face_element(
       this->Heat_flux_lagr_multiplier_id);
        
     // Equation number for temperature Lagrange multiplier
     local_eqn_q = this->nodal_local_eqn(l,first_index_q);
  
     //IF it's not a boundary condition for both heat_flux and contact_pressure
     if(local_eqn_p >= 0 || local_eqn_q >= 0)
      {
       
       // Use weighted/integrated quantities intially (could be 0)
       // then overwrite them if using collocation
       double d=penetration_integral[l];
       double contact_pressure=pressure_integral[l];
       double heat_flux=heat_flux_integral[l];
       double temp_deviation=temp_deviation_integral[l];
       
       //overwrite appropriate measure if using collocation
  
       if(this->use_collocated_penetration_flag())
        {
         // Nodal position
         x[0]=nod_pt->x(0);
         x[1]=nod_pt->x(1);
         
         // Get outer unit normal
         Vector<double> s(1);
         this->local_coordinate_of_node(l,s);
         Vector<double> unit_normal(2);
         this->outer_unit_normal(s,unit_normal);
  
         // Get penetration
         bool intersection = false;
         this->penetration(x,unit_normal,d,intersection);
         
         //If there is no intersection, d = -max, ie the penetrator 
         //is infinitely far away
         if(!intersection)
          {
           d = -DBL_MAX;
          }
          
        }
       
       //If we are using collocated heat flux, overwrite value
       if(this->use_collocated_heat_flux_flag())
        {
         heat_flux = this->node_pt(l)->value(first_index_q);
        }
  
       //If we are using collocated contact pressure, overwrite value
       if(this->use_collocated_contact_pressure_flag())
        {
         contact_pressure=nod_pt->value(first_index_p);
        }
  
  
       // Contact/non-penetration residual
       if (this->Enable_stick)
        {
         // Enforce contact
         if(local_eqn_p >= 0)
          {
           local_residuals[local_eqn_p]-=d;
          }
  
         // Enforce continuity of temperature
         if(local_eqn_q >= 0)
          {
           local_residuals[local_eqn_q]+=temp_deviation;
          }
        }
       else
        {
         // Piecewise linear variation for non-penetration constraint
         if (-d>contact_pressure)//No penetration
          {
           if(local_eqn_p >= 0)
            {
             //Crush contact pressure
             local_residuals[local_eqn_p]+=contact_pressure;
            }
           if(local_eqn_q >= 0)
            {
             //Crush heat flux as no contact means no heat transfer
             local_residuals[local_eqn_q]+=heat_flux;
            }
          }
         else //Penetration
          {
           if(local_eqn_p >= 0)
            {
             //Increase contact_pressure until d=0 
             local_residuals[local_eqn_p]-=d;
            }
           if(local_eqn_q >= 0)
            {
             //Change lagrange mult (heat flux) until we have continuity
             local_residuals[local_eqn_q]+=temp_deviation;
            }
          }
        }
      }
    }
  }
  
  // Now deal with the penetrator equilibrium equations (if any!)
  unsigned n=this->Penetrator_eq_data_type.size();
  for (unsigned i=0;i<n;i++)
   {
    if (this->Penetrator_eq_data_type[i]>=0)
     {
      switch(unsigned(this->Penetrator_eq_data_type[i]))
       {
          
       case TemplateFreeContactElementBase::External_data:
       {
        int local_eqn=this->external_local_eqn(
         this->Penetrator_eq_data_data_index[i],
         this->Penetrator_eq_data_index[i]);
        if (local_eqn>=0)
         {
          local_residuals[local_eqn]=contact_force[i];
         }
       }
       break;
         
       case TemplateFreeContactElementBase::Nodal_position_data:
       {
        // position type (dummy -- hierher paranoid check)
        unsigned k=0;
        int local_eqn=this->position_local_eqn(
         this->Penetrator_eq_data_data_index[i],k,
         this->Penetrator_eq_data_index[i]);
        if (local_eqn>=0)
         {
          local_residuals[local_eqn]=contact_force[i];
         }
       }
       break;
         
         
       case TemplateFreeContactElementBase::Nodal_data:
       {
        int local_eqn=this->nodal_local_eqn(
         this->Penetrator_eq_data_data_index[i],
         this->Penetrator_eq_data_index[i]);
        if (local_eqn>=0)
         {
          local_residuals[local_eqn]+=contact_force[i];
         }
       }
       break;
         
       default:
  
  
        std::stringstream junk;
        junk << "Never get here: "
             << "unsigned(Penetrator_eq_data_type[i]) = "
             << unsigned(this->Penetrator_eq_data_type[i]);
        throw OomphLibError(
         junk.str(),
         OOMPH_CURRENT_FUNCTION,
         OOMPH_EXCEPTION_LOCATION);
  
       }
     }  
   }
  
  // Now add local contribution to existing entries
  for (unsigned j=0;j<n_dof;j++)
   {
    residuals[j]+=local_residuals[j];
   }
  
 }

References i, oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), j, k, n, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::oomph_info, oomph::TemplateFreeHeatedPenetratorFluxElementBase::penetrator_temperature(), s, sqrt(), oomph::Node::value(), w, oomph::QuadTreeNames::W, plotDoE::x, and oomph::Node::x().

◆ heat_flux()

template<class ELEMENT >

double oomph::HeatedLinearSurfaceContactElement< ELEMENT >::heat_flux ( const Vector< double > & s ) const

inlinevirtual

Return heat flux required to maintain continuity of temperature to adjacent penetrator at local coordinate s

Implements oomph::TemplateFreeHeatedLinearSurfaceContactElementBase.

   {
    // Get shape function for Lagrange multiplier
    unsigned n_node = this->nnode();
    Shape psi_p(n_node);
    this->shape_p(s,psi_p);
    
    // Interpolated Lagrange multiplier (heat flux)
    double interpolated_lambda_q=0.0;
    for(unsigned l=0;l<n_node;l++) 
     {
      // Cast to a boundary node
      BoundaryNodeBase *bnod_pt = 
       dynamic_cast<BoundaryNodeBase*>(this->node_pt(l));
      
      // Get the index of the nodal value associated with
      // this FaceElement
      unsigned first_index_q=
       bnod_pt->index_of_first_value_assigned_by_face_element(
        this->Heat_flux_lagr_multiplier_id);
      
      // Add to Lagrange multiplier (acting as pressure on solid
      // to enforce motion to ensure non-penetration)
      interpolated_lambda_q+=this->node_pt(l)->value(first_index_q)*psi_p[l];
     }
    return interpolated_lambda_q;
   }

References oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), and s.

◆ output()

template<class ELEMENT >

void oomph::HeatedLinearSurfaceContactElement< ELEMENT >::output	(	std::ostream &	outfile,
		const unsigned &	n_plot
	)

inlinevirtual

Output function.

Reimplemented from oomph::LinearSurfaceContactElement< ELEMENT >.

   {
    unsigned n_dim = this->nodal_dimension();
    
    Vector<double> x(n_dim);
    Vector<double> disp(n_dim);
    Vector<double> x_def(n_dim);
    Vector<double> s(n_dim-1);
    Vector<double> r_pen(n_dim);
    Vector<double> unit_normal(n_dim);
    Vector<double> interpolated_heat_flux(1);
    
    // Tecplot header info
    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 coordinates and outer unit normal
      this->interpolated_x(s,x);
      this->outer_unit_normal(s,unit_normal);   
      
      // Displacement
      this->interpolated_u_linear_elasticity(s,disp);
      
      // Deformed position
      for(unsigned i=0;i<n_dim;i++) 
       {
        x_def[i]=x[i]+disp[i];
       }
      
      // Get penetration based on deformed position
      double d= 0.0;
      bool intersection = false;
      this->penetration(x_def,unit_normal,d,intersection);
      
      //Get heat flux
      interpolated_heat_flux[0] = heat_flux(s);
      
      //Output the x,y,..
      for(unsigned i=0;i<n_dim;i++) 
       {outfile << x[i] << " ";} // col 1,2
      
      // Penetration
      outfile << std::max(d,-100.0) << " "; // col 3
      
      // Lagrange multiplier-like pressure
      double p=this->get_interpolated_lagrange_p(s);
      outfile << p << " "; // col 4
      
      
      // Plot Lagrange multiplier like pressure
      outfile << -unit_normal[0]*p << " "; // col 5
      outfile << -unit_normal[1]*p << " "; // col 6
      
      // Plot vector from current point to boundary of penetrator
      double d_tmp=d;
      if (!intersection) d_tmp=0.0;
      outfile << -d_tmp*unit_normal[0] << " ";  // col 7
      outfile << -d_tmp*unit_normal[1] << " ";  // col 8
      
      // Output normal
      for(unsigned i=0;i<n_dim;i++) 
       {outfile << unit_normal[i] << " ";} // col 9, 10
      
      //Output the displacements
      for(unsigned i=0;i<n_dim;i++)
       {
        outfile << disp[i] << " "; // col 11, 12
       }
      
      //Output the deformed position
      for(unsigned i=0;i<n_dim;i++)
       {
       outfile << x_def[i] << " "; // col 13, 14
       }
      
      //Output the heat_flux
      outfile << interpolated_heat_flux[0] << " "; // col 15
      
      
      outfile << std::endl;
     }
  
  
   
   // Write tecplot footer (e.g. FE connectivity lists)
   this->write_tecplot_zone_footer(outfile,n_plot);
   
  }

References i, max, p, s, and plotDoE::x.

Referenced by ContactProblem< ELEMENT >::doc_solution().

◆ use_collocated_heat_flux_flag()

template<class ELEMENT >

bool oomph::HeatedLinearSurfaceContactElement< ELEMENT >::use_collocated_heat_flux_flag ( )

inline

or integrated using the hat function (false)

Determine which method to use to discretise heat_flux, collocation (true)

   {
    if (Use_collocated_heat_flux_flag_pt==0)
     {
      return false;
     }
    else
     {
      return *Use_collocated_heat_flux_flag_pt;
     }
   } 

◆ use_collocated_heat_flux_flag_pt() [1/2]

template<class ELEMENT >

bool*& oomph::HeatedLinearSurfaceContactElement< ELEMENT >::use_collocated_heat_flux_flag_pt ( )

inline

Access function: Pointer to flag to use collocated heat_flux.

849 {return Use_collocated_heat_flux_flag_pt;}

◆ use_collocated_heat_flux_flag_pt() [2/2]

template<class ELEMENT >

bool* oomph::HeatedLinearSurfaceContactElement< ELEMENT >::use_collocated_heat_flux_flag_pt ( ) const

inline

Access function: Pointer to flag to use collocated heat_flux (const version)

852 {return Use_collocated_heat_flux_flag_pt;}

◆ zeta_nodal()

template<class ELEMENT >

double oomph::HeatedLinearSurfaceContactElement< ELEMENT >::zeta_nodal	(	const unsigned &	n,
		const unsigned &	k,
		const unsigned &	i
	)		const

inlinevirtual

hierher overload...

Reimplemented from oomph::SurfaceContactElementBase< ELEMENT >.

   {
    unsigned dim=this->node_pt(n)->ndim();
    Vector<double> x(dim);
    for (unsigned ii=0;ii<dim;ii++)
     {
      x[ii]=this->node_pt(n)->x(ii);
     }
    Vector<double> zeta(dim-1);
    this->penetrator_pt()->surface_coordinate(x,zeta);
    return zeta[i]; 
   }

References i, n, plotDoE::x, and Eigen::zeta().

Member Data Documentation

◆ activate_iso_colloc_for_contact

template<class ELEMENT >

bool oomph::HeatedLinearSurfaceContactElement< ELEMENT >::activate_iso_colloc_for_contact

protected

hierher currently we don't want to use isoparametric for the lagrange multipliers and collocation for penetration and contact pressure, use this as a bulk switch

◆ Heat_flux_lagr_multiplier_id

template<class ELEMENT >

unsigned oomph::HeatedLinearSurfaceContactElement< ELEMENT >::Heat_flux_lagr_multiplier_id

protected

ID of heat flux Lagrange multiplier (to ensure continuity of temperature)

◆ Use_collocated_heat_flux_flag_pt

template<class ELEMENT >

bool* oomph::HeatedLinearSurfaceContactElement< ELEMENT >::Use_collocated_heat_flux_flag_pt

protected

Set options for basis/test functions for penetration and pressure.

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

heated_linear_solid_contact_with_gravity.cc

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT> class oomph::HeatedLinearSurfaceContactElement< ELEMENT >

Constructor & Destructor Documentation

◆ HeatedLinearSurfaceContactElement() [1/2]

◆ HeatedLinearSurfaceContactElement() [2/2]

Member Function Documentation

◆ describe_local_dofs()

◆ fill_in_contribution_to_jacobian()

◆ fill_in_contribution_to_residuals_surface_contact()

◆ heat_flux()

◆ output()

◆ use_collocated_heat_flux_flag()

◆ use_collocated_heat_flux_flag_pt() [1/2]

◆ use_collocated_heat_flux_flag_pt() [2/2]

◆ zeta_nodal()

Member Data Documentation

◆ activate_iso_colloc_for_contact

◆ Heat_flux_lagr_multiplier_id

◆ Use_collocated_heat_flux_flag_pt

template<class ELEMENT>
class oomph::HeatedLinearSurfaceContactElement< ELEMENT >