#include <heat_transfer_and_melt_elements.h>

Inheritance diagram for oomph::SurfaceMeltElement< ELEMENT >:

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

double	get_interpolated_lagrange_p (const Vector< double > &s)

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

double	melt_temperature ()
	Melt temperature. More...

double *&	melt_temperature_pt ()
	Pointer to (non-default) melt temperature. More...

void	disable_melting ()
	Switch off melting by pinning melt-rate dofs. More...

void	set_lagrange_multiplier_pressure_to_zero ()

double	zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const

void	interpolated_melt_rate (const Vector< double > &s, double &melt_flux)
	Melt rate at local coordinate s. More...

void	output_melt (std::ostream &outfile)

Public Member Functions inherited from oomph::SolidFaceElement
double	zeta_nodal (const unsigned &n, const unsigned &k, const unsigned &i) const

double	interpolated_xi (const Vector< double > &s, const unsigned &i) const

void	interpolated_xi (const Vector< double > &s, Vector< double > &xi) 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	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)

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

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

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...

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

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

double	size () const

virtual double	compute_physical_size () const

virtual void	point_output_data (const Vector< double > &s, Vector< double > &data)

void	point_output (std::ostream &outfile, const Vector< double > &s)

virtual unsigned	nplot_points_paraview (const unsigned &nplot) const

virtual unsigned	nsub_elements_paraview (const unsigned &nplot) const

void	output_paraview (std::ofstream &file_out, const unsigned &nplot) const

virtual void	write_paraview_output_offset_information (std::ofstream &file_out, const unsigned &nplot, unsigned &counter) const

virtual void	write_paraview_type (std::ofstream &file_out, const unsigned &nplot) const

virtual void	write_paraview_offsets (std::ofstream &file_out, const unsigned &nplot, unsigned &offset_sum) const

virtual unsigned	nscalar_paraview () const

virtual void	scalar_value_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot) const

virtual void	scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) const

virtual void	scalar_value_fct_paraview (std::ofstream &file_out, const unsigned &i, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const

virtual std::string	scalar_name_paraview (const unsigned &i) const

virtual void	output (const unsigned &t, std::ostream &outfile, const unsigned &n_plot) const

virtual void	output_fct (std::ostream &outfile, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
	Output an exact solution over the element. More...

virtual void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)
	Output a time-dependent exact solution over the element. More...

virtual void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, const SolutionFunctorBase &exact_soln) const
	Output a time-dependent exact solution over the element. More...

virtual void	get_s_plot (const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &shifted_to_interior=false) const

virtual std::string	tecplot_zone_string (const unsigned &nplot) const

virtual void	write_tecplot_zone_footer (std::ostream &outfile, const unsigned &nplot) const

virtual void	write_tecplot_zone_footer (FILE *file_pt, const unsigned &nplot) const

virtual unsigned	nplot_points (const unsigned &nplot) const

virtual void	compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
	Calculate the norm of the error and that of the exact solution. More...

virtual void	compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
	Calculate the norm of the error and that of the exact solution. More...

virtual void	compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)

virtual void	compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)

virtual void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)

virtual void	compute_abs_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error)

void	integrate_fct (FiniteElement::SteadyExactSolutionFctPt integrand_fct_pt, Vector< double > &integral)
	Integrate Vector-valued function over element. More...

void	integrate_fct (FiniteElement::UnsteadyExactSolutionFctPt integrand_fct_pt, const double &time, Vector< double > &integral)
	Integrate Vector-valued time-dep function over element. More...

virtual void	build_face_element (const int &face_index, FaceElement *face_element_pt)

virtual unsigned	self_test ()

virtual unsigned	get_bulk_node_number (const int &face_index, const unsigned &i) const

virtual int	face_outer_unit_normal_sign (const int &face_index) const
	Get the sign of the outer unit normal on the face given by face_index. More...

virtual unsigned	nnode_on_face () const

void	face_node_number_error_check (const unsigned &i) const
	Range check for face node numbers. More...

virtual CoordinateMappingFctPt	face_to_bulk_coordinate_fct_pt (const int &face_index) const

virtual BulkCoordinateDerivativesFctPt	bulk_coordinate_derivatives_fct_pt (const int &face_index) const

Public Member Functions inherited from oomph::GeneralisedElement
	GeneralisedElement ()
	Constructor: Initialise all pointers and all values to zero. More...

virtual	~GeneralisedElement ()
	Virtual destructor to clean up any memory allocated by the object. More...

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

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

Data *&	internal_data_pt (const unsigned &i)
	Return a pointer to i-th internal data object. More...

Data *const &	internal_data_pt (const unsigned &i) const
	Return a pointer to i-th internal data object (const version) More...

Data *&	external_data_pt (const unsigned &i)
	Return a pointer to i-th external data object. More...

Data *const &	external_data_pt (const unsigned &i) const
	Return a pointer to i-th external data object (const version) More...

unsigned long	eqn_number (const unsigned &ieqn_local) const

int	local_eqn_number (const unsigned long &ieqn_global) const

unsigned	add_external_data (Data *const &data_pt, const bool &fd=true)

bool	external_data_fd (const unsigned &i) const

void	exclude_external_data_fd (const unsigned &i)

void	include_external_data_fd (const unsigned &i)

void	flush_external_data ()
	Flush all external data. More...

void	flush_external_data (Data *const &data_pt)
	Flush the object addressed by data_pt from the external data array. More...

unsigned	ninternal_data () const
	Return the number of internal data objects. More...

unsigned	nexternal_data () const
	Return the number of external data objects. More...

unsigned	ndof () const
	Return the number of equations/dofs in the element. More...

void	dof_vector (const unsigned &t, Vector< double > &dof)
	Return the vector of dof values at time level t. More...

void	dof_pt_vector (Vector< double * > &dof_pt)
	Return the vector of pointers to dof values. More...

void	set_internal_data_time_stepper (const unsigned &i, TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)

void	assign_internal_eqn_numbers (unsigned long &global_number, Vector< double * > &Dof_pt)

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

void	add_internal_value_pt_to_map (std::map< unsigned, double * > &map_of_value_pt)

virtual void	assign_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	complete_setup_of_dependencies ()

virtual void	get_residuals (Vector< double > &residuals)

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

virtual void	get_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix)

virtual void	get_jacobian_and_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix)

virtual void	get_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)

virtual void	get_djacobian_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam)

virtual void	get_djacobian_and_dmass_matrix_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam, DenseMatrix< double > &djac_dparam, DenseMatrix< double > &dmass_matrix_dparam)

virtual void	get_hessian_vector_products (Vector< double > const &Y, DenseMatrix< double > const &C, DenseMatrix< double > &product)

virtual void	get_inner_products (Vector< std::pair< unsigned, unsigned >> const &history_index, Vector< double > &inner_product)

virtual void	get_inner_product_vectors (Vector< unsigned > const &history_index, Vector< Vector< double >> &inner_product_vector)

virtual void	compute_norm (Vector< double > &norm)

virtual 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::SolidFiniteElement
void	set_lagrangian_dimension (const unsigned &lagrangian_dimension)

virtual bool	has_internal_solid_data ()

	SolidFiniteElement ()
	Constructor: Set defaults. More...

virtual	~SolidFiniteElement ()
	Destructor to clean up any allocated memory. More...

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

unsigned	ngeom_data () const
	Broken assignment operator. More...

Data *	geom_data_pt (const unsigned &j)

void	identify_geometric_data (std::set< Data * > &geometric_data_pt)

virtual void	get_x_and_xi (const Vector< double > &s, Vector< double > &x_fe, Vector< double > &x, Vector< double > &xi_fe, Vector< double > &xi) const

virtual void	set_macro_elem_pt (MacroElement *macro_elem_pt)

virtual void	set_macro_elem_pt (MacroElement macro_elem_pt, MacroElement undeformed_macro_elem_pt)

void	set_undeformed_macro_elem_pt (MacroElement *undeformed_macro_elem_pt)

MacroElement *	undeformed_macro_elem_pt ()
	Access function to pointer to "undeformed" macro element. More...

double	dshape_lagrangian (const Vector< double > &s, Shape &psi, DShape &dpsidxi) const

virtual double	dshape_lagrangian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidxi) const

double	d2shape_lagrangian (const Vector< double > &s, Shape &psi, DShape &dpsidxi, DShape &d2psidxi) const

virtual double	d2shape_lagrangian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidxi, DShape &d2psidxi) const

unsigned	lagrangian_dimension () const

unsigned	nnodal_lagrangian_type () const

Node *	construct_node (const unsigned &n)
	Construct the local node n and return a pointer to it. More...

Node *	construct_node (const unsigned &n, TimeStepper *const &time_stepper_pt)

Node *	construct_boundary_node (const unsigned &n)

Node *	construct_boundary_node (const unsigned &n, TimeStepper *const &time_stepper_pt)

virtual void	assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt)

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

double	raw_lagrangian_position (const unsigned &n, const unsigned &i) const

double	raw_lagrangian_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const

double	lagrangian_position (const unsigned &n, const unsigned &i) const
	Return i-th Lagrangian coordinate at local node n. More...

double	lagrangian_position_gen (const unsigned &n, const unsigned &k, const unsigned &i) const

virtual void	interpolated_dxids (const Vector< double > &s, DenseMatrix< double > &dxids) const

virtual void	J_lagrangian (const Vector< double > &s) const

virtual double	J_lagrangian_at_knot (const unsigned &ipt) const

SolidInitialCondition *&	solid_ic_pt ()
	Pointer to object that describes the initial condition. More...

void	enable_solve_for_consistent_newmark_accel ()

void	disable_solve_for_consistent_newmark_accel ()
	Set to reset the problem being solved to be the standard problem. More...

MultiplierFctPt &	multiplier_fct_pt ()

MultiplierFctPt	multiplier_fct_pt () const

virtual void	get_residuals_for_solid_ic (Vector< double > &residuals)

void	fill_in_residuals_for_solid_ic (Vector< double > &residuals)

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

void	fill_in_jacobian_for_newmark_accel (DenseMatrix< double > &jacobian)

void	compute_norm (double &el_norm)

int	position_local_eqn (const unsigned &n, const unsigned &k, const unsigned &j) const

Public Member Functions inherited from oomph::UnsteadyHeatBaseFaceElement< ELEMENT >
	UnsteadyHeatBaseFaceElement (FiniteElement *const &bulk_el_pt, const int &face_index)
	Constructor. More...

virtual	~UnsteadyHeatBaseFaceElement ()
	Destructor. More...

void	interpolated_u (const Vector< double > &s, double &u)
	Temperature at local coordinate s. More...

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

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

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

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

Public Member Functions inherited from oomph::TemplateFreeUnsteadyHeatBaseFaceElement
	TemplateFreeUnsteadyHeatBaseFaceElement ()
	Constructor. More...

virtual	~TemplateFreeUnsteadyHeatBaseFaceElement ()
	Destrutor. More...

UnsteadyHeatPrescribedFluxFctPt &	flux_fct_pt ()
	Access function for the prescribed-flux function pointer. More...

Protected Member Functions
void	fill_in_contribution_to_residuals_surface_melt (Vector< double > &residuals)
	Helper function that actually calculates the residuals. 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)

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
	Zero-d specialisation of function to calculate inverse of jacobian mapping. More...

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
	One-d specialisation of function to calculate inverse of jacobian mapping. More...

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const
	Two-d specialisation of function to calculate inverse of jacobian mapping. More...

template<>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	dJ_eulerian_dnodal_coordinates_templated_helper (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<>
void	d_dshape_eulerian_dnodal_coordinates_templated_helper (const double &det_jacobian, const DenseMatrix< double > &jacobian, const DenseMatrix< double > &djacobian_dX, const DenseMatrix< double > &inverse_jacobian, const DShape &dpsids, RankFourTensor< double > &d_dpsidx_dX) const

template<>
void	transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

template<>
void	transform_second_derivatives_template (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

template<>
void	transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

template<>
void	transform_second_derivatives_diagonal (const DenseMatrix< double > &jacobian, const DenseMatrix< double > &inverse_jacobian, const DenseMatrix< double > &jacobian2, DShape &dbasis, DShape &d2basis) const

Protected Member Functions inherited from oomph::GeneralisedElement
unsigned	add_internal_data (Data *const &data_pt, const bool &fd=true)

bool	internal_data_fd (const unsigned &i) const

void	exclude_internal_data_fd (const unsigned &i)

void	include_internal_data_fd (const unsigned &i)

void	clear_global_eqn_numbers ()

void	add_global_eqn_numbers (std::deque< unsigned long > const &global_eqn_numbers, std::deque< double * > const &global_dof_pt)

virtual void	assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	assign_additional_local_eqn_numbers ()

int	internal_local_eqn (const unsigned &i, const unsigned &j) const

int	external_local_eqn (const unsigned &i, const unsigned &j)

void	fill_in_jacobian_from_internal_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

void	fill_in_jacobian_from_internal_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

void	fill_in_jacobian_from_external_by_fd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

void	fill_in_jacobian_from_external_by_fd (DenseMatrix< double > &jacobian, const bool &fd_all_data=false)

virtual void	update_before_internal_fd ()

virtual void	reset_after_internal_fd ()

virtual void	update_in_internal_fd (const unsigned &i)

virtual void	reset_in_internal_fd (const unsigned &i)

virtual void	update_before_external_fd ()

virtual void	reset_after_external_fd ()

virtual void	update_in_external_fd (const unsigned &i)

virtual void	reset_in_external_fd (const unsigned &i)

virtual void	fill_in_contribution_to_mass_matrix (Vector< double > &residuals, DenseMatrix< double > &mass_matrix)

virtual void	fill_in_contribution_to_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::SolidFiniteElement
void	fill_in_generic_jacobian_for_solid_ic (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)

void	set_nnodal_lagrangian_type (const unsigned &nlagrangian_type)

virtual double	local_to_lagrangian_mapping (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

double	local_to_lagrangian_mapping (const DShape &dpsids, DenseMatrix< double > &inverse_jacobian) const

virtual double	local_to_lagrangian_mapping_diagonal (const DShape &dpsids, DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

virtual void	assign_solid_local_eqn_numbers (const bool &store_local_dof)
	Assign local equation numbers for the solid equations in the element. More...

void	describe_solid_local_dofs (std::ostream &out, const std::string &current_string) const
	Classifies dofs locally for solid specific aspects. More...

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

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

void	fill_in_jacobian_from_solid_position_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_solid_position_fd ()

virtual void	reset_after_solid_position_fd ()

virtual void	update_in_solid_position_fd (const unsigned &i)

virtual void	reset_in_solid_position_fd (const unsigned &i)

Protected Member Functions inherited from oomph::UnsteadyHeatBaseFaceElement< ELEMENT >
double	shape_and_test (const Vector< double > &s, Shape &psi, Shape &test) const

Protected Member Functions inherited from oomph::TemplateFreeUnsteadyHeatBaseFaceElement
virtual void	get_flux (const unsigned &ipt, const double &time, const Vector< double > &x, const Vector< double > &n, const double &u, double &flux)

Protected Attributes
unsigned	Melt_id
	Id of additional unknowns (Lagrange multiplier ("pressure") and melt rate) More...

double *	Melt_temperature_pt
	Pointer to non-default melt temperature. More...

Protected Attributes inherited from oomph::FaceElement
unsigned	Boundary_number_in_bulk_mesh
	The boundary number in the bulk mesh to which this element is attached. More...

FiniteElement *	Bulk_element_pt
	Pointer to the associated higher-dimensional "bulk" element. More...

Vector< unsigned >	Bulk_node_number

Vector< unsigned >	Nbulk_value

Vector< double > *	Tangent_direction_pt

Protected Attributes inherited from oomph::FiniteElement
MacroElement *	Macro_elem_pt
	Pointer to the element's macro element (NULL by default) More...

Protected Attributes inherited from oomph::GeomObject
unsigned	NLagrangian
	Number of Lagrangian (intrinsic) coordinates. More...

unsigned	Ndim
	Number of Eulerian coordinates. More...

TimeStepper *	Geom_object_time_stepper_pt

Protected Attributes inherited from oomph::SolidFiniteElement
MacroElement *	Undeformed_macro_elem_pt
	Pointer to the element's "undeformed" macro element (NULL by default) More...

SolidInitialCondition *	Solid_ic_pt
	Pointer to object that specifies the initial condition. More...

bool	Solve_for_consistent_newmark_accel_flag

Protected Attributes inherited from oomph::TemplateFreeUnsteadyHeatBaseFaceElement
unsigned	U_index_ust_heat
	Index at which temperature is stored. More...

unsigned	Dim
	The spatial dimension of the problem. More...

UnsteadyHeatPrescribedFluxFctPt	Flux_fct_pt
	Function pointer to the (global) prescribed-flux function. More...

Additional Inherited Members
Public Types inherited from oomph::FiniteElement
typedef void(*	SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &)

typedef void(*	UnsteadyExactSolutionFctPt) (const double &, const Vector< double > &, Vector< double > &)

Public Types inherited from oomph::SolidFiniteElement
typedef double(*	MultiplierFctPt) (const Vector< double > &xi)

Public Types inherited from oomph::TemplateFreeUnsteadyHeatBaseFaceElement
typedef void(*	UnsteadyHeatPrescribedFluxFctPt) (const double &time, const Vector< double > &x, const Vector< double > &n, const double &u, double &flux)

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

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::SurfaceMeltElement< ELEMENT >

////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////// A class for elements that impose Stefan (melting) condition on adjacent pseudo-solid-based unsteady heat elements.

The geometrical information can be read from the FaceGeometry<ELEMENT> class and and thus, we can be generic enough without the need to have a separate equations class.

Constructor & Destructor Documentation

◆ SurfaceMeltElement()

template<class ELEMENT >

oomph::SurfaceMeltElement< ELEMENT >::SurfaceMeltElement	(	FiniteElement *const &	bulk_el_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

                                                                             : 
   UnsteadyHeatBaseFaceElement<ELEMENT>(bulk_el_pt,face_index)
    { 
     
 #ifdef PARANOID
     {
      //Check that the element is not a refineable 3d element
      if (!called_from_refineable_constructor)
       {
        if(bulk_el_pt->dim()==3)
         {
          //Is it refineable
          if(dynamic_cast<RefineableElement*>(bulk_el_pt))
           {
            //Issue a warning
            std::string error_string=
             "This face element will not work correctly if nodes are hanging.\n";
            error_string+="Use the refineable version instead. ";
            OomphLibWarning(error_string,
                            OOMPH_CURRENT_FUNCTION,
                            OOMPH_EXCEPTION_LOCATION);
           }
         }
       }
     }
 #endif
     
     // Use default melt temperature
     Melt_temperature_pt=0;
     
     //  Store the ID of the FaceElement -- this is used to distinguish
     // it from any others
     Melt_id=id;
     
     // We need two additional value for each FaceElement node:
     // (1) the normal traction (Lagrange multiplier) to be 
     // exerted onto the pseudo-solid and (2) the melt rate
     unsigned n_nod=nnode();
     Vector<unsigned> n_additional_values(n_nod,2);
     
     // Now add storage for Lagrange multipliers and set the map containing 
     // the position of the first entry of this face element's 
     // additional values.
     add_additional_values(n_additional_values,id);
     
 #ifdef PARANOID
     // Check spatial dimension
     if (this->Dim!=2)
      {
       //Issue a warning
       throw OomphLibError(
        "This element will almost certainly not work in non-2D problems, though it should be easy enough to upgrade... Volunteers?\n",
        OOMPH_CURRENT_FUNCTION,
        OOMPH_EXCEPTION_LOCATION);
      }
 #endif
  
  
     /* // hierher */
     /* // Add positions of bulk nodes as external data */
     /* unsigned nnod_bulk=bulk_el_pt->nnode(); */
     /* unsigned count=0; */
     /* for (unsigned j=0;j<nnod_bulk;j++) */
     /*  { */
     /*   SolidNode* bulk_nod_pt=dynamic_cast<SolidNode*>(bulk_el_pt->node_pt(j)); */
     /*   unsigned do_it=true; */
     /*   for (unsigned k=0;k<n_nod;k++) */
     /*    { */
     /*     SolidNode* nod_pt=dynamic_cast<SolidNode*>(node_pt(k)); */
     /*     if (nod_pt==bulk_nod_pt) */
     /*      { */
     /*       do_it=false; */
     /*       break; */
     /*      } */
     /*    } */
     /*   if (do_it) */
     /*    { */
     /*     count++; */
     /*     add_external_data(bulk_nod_pt->variable_position_pt()); */
     /*     add_external_data(bulk_nod_pt); */
     /*    } */
     /*  } */
     /* oomph_info << "Added " << count << " position data from bulk\n"; */
  
    }

References oomph::FaceElement::add_additional_values(), oomph::TemplateFreeUnsteadyHeatBaseFaceElement::Dim, oomph::FiniteElement::dim(), oomph::SurfaceMeltElement< ELEMENT >::Melt_id, oomph::SurfaceMeltElement< ELEMENT >::Melt_temperature_pt, oomph::FiniteElement::nnode(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, and oomph::Global_string_for_annotation::string().

Member Function Documentation

◆ disable_melting()

template<class ELEMENT >

void oomph::SurfaceMeltElement< ELEMENT >::disable_melting ( )

inline

Switch off melting by pinning melt-rate dofs.

   {
    unsigned n_node=nnode();
    for(unsigned l=0;l<n_node;l++) 
     {
      // get the node pt
      Node* nod_pt = 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=
       bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
      
      // Pin melt rate (second additional value created by this face element)
      nod_pt->pin(first_index+1);
     }
   }

References oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), oomph::SurfaceMeltElement< ELEMENT >::Melt_id, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), and oomph::Data::pin().

Referenced by UnsteadyHeatMeltProblem< ELEMENT >::complete_problem_setup().

◆ fill_in_contribution_to_residuals()

template<class ELEMENT >

void oomph::SurfaceMeltElement< ELEMENT >::fill_in_contribution_to_residuals ( Vector< double > & residuals )

inlinevirtual

Return the residuals.

Reimplemented from oomph::UnsteadyHeatBaseFaceElement< ELEMENT >.

   {
    fill_in_contribution_to_residuals_surface_melt(residuals);
   }

References oomph::SurfaceMeltElement< ELEMENT >::fill_in_contribution_to_residuals_surface_melt().

◆ fill_in_contribution_to_residuals_surface_melt()

template<class ELEMENT >

void oomph::SurfaceMeltElement< ELEMENT >::fill_in_contribution_to_residuals_surface_melt ( Vector< double > & residuals )

protected

Helper function that actually calculates the residuals.

Return the residuals for the SurfaceMeltElement equations.

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

  {
  
   // hierher kill oomph_info << "hierher: Number of dofs: " << ndof() << std::endl;
  
   // Get continuous time from timestepper of first node
   double time=node_pt(0)->time_stepper_pt()->time_pt()->time();
   
   //Find out how many nodes there are
   unsigned n_node = nnode();
  
   //Find out how many positional dofs there are
   unsigned n_position_type = this->nnodal_position_type();
  
   //Find out the dimension of the node
   unsigned n_dim = this->nodal_dimension();
  
   //Integer to hold the local equation number
   int local_eqn=0;
  
   /* // hierher kill */
   /* { */
   /*  for (unsigned j=0;j<n_node;j++) */
   /*   { */
   /*    SolidNode* nod_pt=dynamic_cast<SolidNode*>(node_pt(j)); */
   /*    unsigned nval=nod_pt->nvalue(); */
   /*    for (unsigned i=0;i<nval;i++) */
   /*     { */
   /*      oomph_info << "i_val, eqn_number: " << i << " "  */
   /*                 << nod_pt->eqn_number(i) << " " */
   /*                 << std::endl; */
   /*     } */
   /*    Data* data_pt=dynamic_cast<SolidNode*>(node_pt(j)) */
   /*     ->variable_position_pt(); */
   /*    nval=data_pt->nvalue(); */
   /*    for (unsigned i=0;i<nval;i++) */
   /*     { */
   /*      oomph_info << "i_pos, eqn_number: " << i << " "  */
   /*                 << data_pt->eqn_number(i) << " " */
   /*                 << std::endl; */
   /*     } */
   /*   } */
   /* } */
  
   //Set up memory for the shape functions
   //Note that in this case, the number of lagrangian coordinates is always
   //equal to the dimension of the nodes
   Shape psi(n_node,n_position_type);
   DShape dpsids(n_node,n_position_type,n_dim-1); 
  
   //Set the value of n_intpt
   unsigned n_intpt = integral_pt()->nweight();
  
   //Loop over the integration points
   for(unsigned ipt=0;ipt<n_intpt;ipt++)
    {
     //Get the integral weight
     double w = integral_pt()->weight(ipt);
    
     //Only need to call the local derivatives
     dshape_local_at_knot(ipt,psi,dpsids);
     
     //Calculate the Eulerian and Lagrangian coordinates 
     Vector<double> interpolated_x(n_dim,0.0);
     Vector<double> interpolated_dxdt(n_dim,0.0);
     Vector<double> interpolated_xi(n_dim,0.0);
     
     // Interpolated Lagrange multiplier (pressure acting on solid
     // to enforce melting)
     double interpolated_lambda_p=0.0;
       
     // Get temperature
     double u=0;
  
     // Melt rate
     double melt_rate=0.0;
  
     //Also calculate the surface Vectors (derivatives wrt local coordinates)
     DenseMatrix<double> interpolated_A(n_dim-1,n_dim,0.0);   
   
     //Calculate stuff
     for(unsigned l=0;l<n_node;l++) 
      {
       // Cast to a boundary node
       BoundaryNodeBase *bnod_pt = 
        dynamic_cast<BoundaryNodeBase*>(node_pt(l));
      
       // Get the index of the first nodal value associated with
       // this FaceElement
       unsigned first_index=
        bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
      
       // Add to Lagrange multiplier (acting as pressure on solid
       // to enforce melting motion)
       interpolated_lambda_p+=node_pt(l)->value(first_index)*psi[l];
  
       // Add to melt rate
       melt_rate+=node_pt(l)->value(first_index+1)*psi[l];
      
       // Add to temperature
       u+=node_pt(l)->value(this->U_index_ust_heat)*psi[l];
  
       //Loop over positional dofs
       for(unsigned k=0;k<n_position_type;k++)
        {
         //Loop over spatial dimension
         for(unsigned i=0;i<n_dim;i++)
          {
           //Calculate the Eulerian and Lagrangian positions
           interpolated_x[i] += 
            nodal_position_gen(l,bulk_position_type(k),i)*psi(l,k);
  
           interpolated_dxdt[i] += 
            this->dnodal_position_gen_dt(l,bulk_position_type(k),i)*psi(l,k);
          
           interpolated_xi[i] += 
            this->lagrangian_position_gen(l,bulk_position_type(k),i)*psi(l,k);
          
           //Loop over LOCAL derivative directions, to calculate the tangent(s)
           for(unsigned j=0;j<n_dim-1;j++)
            {
             interpolated_A(j,i) += 
              nodal_position_gen(l,bulk_position_type(k),i)*dpsids(l,k,j);
            }
          }
        }
      }
  
     //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);
          }
        }
      }
    
     // hierher replaced this in first sweep!
  
     //Get the outer unit normal
     Vector<double> interpolated_normal(n_dim);
     outer_unit_normal(ipt,interpolated_normal);
  
     // Local coordinate of integration point
     unsigned n_dim = this->nodal_dimension();
     Vector<double> s(n_dim-1);
     for (unsigned i=0;i<n_dim-1;i++)
      {
       s[i]=integral_pt()->knot(ipt,i);
      }
  
     /* // Outgoing Stefan Boltzmann radiative flux */
     /* //========================================= */
     /* double outgoing_stefan_boltzmann_flux=sigma()*pow((u+theta_0()),4); */
  
     /* // Incoming Stefan Boltzmann radiation */
     /* //==================================== */
     /* double incoming_sb_radiation=incoming_stefan_boltzmann_radiation */
     /*  (ipt,interpolated_x,interpolated_normal); */
    
     /* // Get the incoming atmospheric radiation */
     /* //======================================== */
     /* double incoming_atmospheric_radiation= */
     /*  atmospheric_radiation(ipt,time(),interpolated_x, */
     /*                        interpolated_normal); */
  
     /* // Get net heat flux  */
     /* //================== */
     /* double net_heat_flux=incoming_atmospheric_radiation+ */
     /*  incoming_sb_radiation-outgoing_stefan_boltzmann_flux; */
  
     //Get the imposed flux
     double flux=0.0;
     this->get_flux(ipt,time,interpolated_x,interpolated_normal,u,flux);
     
  
     // Calculate the "load" -- Lagrange multiplier acts as traction to
     //================================================================
     // to enforce required surface displacement
     //=========================================
     Vector<double> traction(n_dim);
     for (unsigned i=0;i<n_dim;i++)
      {
       traction[i]=-interpolated_lambda_p*interpolated_normal[i];
      }
  
  
     // Get normal velocity
     double normal_veloc=0.0;
     for (unsigned i=0;i<n_dim;i++)
      {
       normal_veloc+=interpolated_dxdt[i]*interpolated_normal[i];
      }
    
  
     //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 SurfaceMeltElement",
                      OOMPH_CURRENT_FUNCTION,
                      OOMPH_EXCEPTION_LOCATION);
      }
  
    
     //Premultiply the weights and the square-root of the determinant of 
     //the metric tensor
     double W = w*sqrt(Adet);
    
     //Loop over the test functions, nodes of the element
     for(unsigned l=0;l<n_node;l++)
      {
  
       // Contributions to bulk solid equations
       //--------------------------------------
       //Loop of types of dofs
       for(unsigned k=0;k<n_position_type;k++)
        {
         //Loop over the displacement components
         for(unsigned i=0;i<n_dim;i++)
          {
           local_eqn = this->position_local_eqn(l,bulk_position_type(k),i);
           if(local_eqn >= 0)
            {
             //Add the loading terms to the residuals
             residuals[local_eqn] -= traction[i]*psi(l,k)*W;
            }
          }
        } //End of if not boundary condition
  
      
       // Contributions to equation that determines the Lagrange multiplier 
       //------------------------------------------------------------------
       // (pressure) from kinematic condition
       //------------------------------------
      
       // Cast to a boundary node
       BoundaryNodeBase *bnod_pt = 
        dynamic_cast<BoundaryNodeBase*>(node_pt(l));
      
       // Get the index of the first nodal value associated with
       // this FaceElement
       unsigned first_index=
        bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
       local_eqn=this->nodal_local_eqn(l,first_index);
       if (local_eqn>=0)
        {
         residuals[local_eqn]+=(normal_veloc+melt_rate)*psi[l]*W;
        }
       
       // Contribution to flux into bulk
       //-------------------------------
       local_eqn = nodal_local_eqn(l,this->U_index_ust_heat);
       if(local_eqn >= 0)
        {
         //Add the prescribed flux terms
         residuals[local_eqn] -= (flux-melt_rate)*psi[l]*W;
        }
  
      } //End of loop over shape functions
    } //End of loop over integration points
  
  
   // Collocation for melt rate:
   //---------------------------
  
   //Loop over the nodes
   for(unsigned l=0;l<n_node;l++)
    {
     // get the node pt
     Node* nod_pt = 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=
      bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
     
     // Melt rate equation is second added one
     local_eqn = nodal_local_eqn(l,first_index+1);
     
     /*IF it's not a boundary condition*/
     if(local_eqn >= 0)
      {
       double u=nod_pt->value(this->U_index_ust_heat);
       double melt_rate=nod_pt->value(first_index+1);
      
      // Piecewise linear variation
      if ((melt_temperature()-u)>melt_rate)
       {
        residuals[local_eqn]+=melt_rate;
       }
      else
       {
        residuals[local_eqn]+=(melt_temperature()-u);
       }
      
      }
    }
   
  }

References ProblemParameters::flux(), oomph::get_flux(), i, oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), j, k, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, s, sqrt(), oomph::Node::value(), w, and oomph::QuadTreeNames::W.

Referenced by oomph::SurfaceMeltElement< ELEMENT >::fill_in_contribution_to_residuals().

◆ get_interpolated_lagrange_p()

template<class ELEMENT >

double oomph::SurfaceMeltElement< ELEMENT >::get_interpolated_lagrange_p ( const Vector< double > & s )

inline

Get interpolated pressure (essentially a Lagrange multiplier that enforces the imposed boundary motion)

   {
    // Initialise pressure
    double p=0;
    
    //Find out how many nodes there are
    unsigned n_node = nnode();
    
    //Set up memory for the shape functions
    Shape psi(n_node);
    
    // Evaluate shape function
    shape(s,psi);
    
    // Build up Lagrange multiplier (pressure)
    for (unsigned j=0;j<n_node;j++)
     {
      // Cast to a boundary node
      BoundaryNodeBase *bnod_pt = 
       dynamic_cast<BoundaryNodeBase*>(node_pt(j));
      
      // Get the index of the first nodal value associated with
      // this FaceElement
      unsigned first_index=
       bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
      
      // Pressure (Lagrange multiplier) is the first of two additional
      // values created by this face element
      p+=node_pt(j)->value(first_index)*psi[j];
     }
    return p;
   }

References oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), j, oomph::SurfaceMeltElement< ELEMENT >::Melt_id, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), p, s, oomph::FiniteElement::shape(), and oomph::Node::value().

Referenced by oomph::SurfaceMeltElement< ELEMENT >::output_melt().

◆ interpolated_melt_rate()

template<class ELEMENT >

void oomph::SurfaceMeltElement< ELEMENT >::interpolated_melt_rate	(	const Vector< double > &	s,
		double &	melt_flux
	)

inline

Melt rate at local coordinate s.

  {
   // Iinitialise
   melt_flux=0.0;
   
   //Find out how many nodes there are
   const unsigned n_node = nnode();
   
   //Set up memory for the shape functions
   Shape psi(n_node);
   
   // Get shape fct
   shape(s,psi);
   
   //Calculate stuff
   for(unsigned l=0;l<n_node;l++) 
    {
     // get the node pt
     Node* nod_pt = 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=
      bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
     
     // Melt rate
     melt_flux+=nod_pt->value(first_index+1)*psi[l];
    }
  }

References oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), GlobalParameters::melt_flux(), oomph::SurfaceMeltElement< ELEMENT >::Melt_id, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), s, oomph::FiniteElement::shape(), and oomph::Node::value().

Referenced by StefanBoltzmannProblem< ELEMENT >::doc_solution(), and oomph::SurfaceMeltElement< ELEMENT >::output_melt().

◆ melt_temperature()

template<class ELEMENT >

double oomph::SurfaceMeltElement< ELEMENT >::melt_temperature ( )

inline

Melt temperature.

   {
    if (Melt_temperature_pt==0)
     {
      return 0.0;
     }
    else
     {
      return *Melt_temperature_pt;
     }
   }

References oomph::SurfaceMeltElement< ELEMENT >::Melt_temperature_pt.

◆ melt_temperature_pt()

template<class ELEMENT >

double*& oomph::SurfaceMeltElement< ELEMENT >::melt_temperature_pt ( )

inline

Pointer to (non-default) melt temperature.

   {
    return Melt_temperature_pt;
   }

References oomph::SurfaceMeltElement< ELEMENT >::Melt_temperature_pt.

Referenced by MeltContactProblem< ELEMENT >::complete_problem_setup(), UnsteadyHeatMeltProblem< ELEMENT >::complete_problem_setup(), and StefanBoltzmannProblem< ELEMENT >::create_melt_elements().

◆ output_melt()

template<class ELEMENT >

void oomph::SurfaceMeltElement< ELEMENT >::output_melt ( std::ostream & outfile )

inline

Generalised output function to include melt information: temperature, incoming flux, melt rate, outer unit normal

  { 
   unsigned n_dim = this->nodal_dimension();
   Vector<double> x(n_dim);
   Vector<double> s(n_dim-1);
   Vector<double> unit_normal(n_dim);
   
   // Get continuous time from timestepper of first node
   double time=node_pt(0)->time_stepper_pt()->time_pt()->time();
   
   // Number of integration points
   unsigned n_intpt = integral_pt()->nweight();
   
   outfile << "ZONE\n";
   
   //Loop over the integration points
   for(unsigned ipt=0;ipt<n_intpt;ipt++)
    {
     // Local coordinate of integration point
     for (unsigned i=0;i<n_dim-1;i++)
      {
       s[i]=integral_pt()->knot(ipt,i);
      }
     
     // Get Eulerian coordinates
     this->interpolated_x(s,x);
     
     // Get temperature
     double interpolated_u=0;
     this->interpolated_u(s,interpolated_u);
     
     // Outer unit normal
     outer_unit_normal(s,unit_normal);
     
     // Get melt rate
     double interpolated_m=0.0;
     this->interpolated_melt_rate(s,interpolated_m);
  
     // Get "lagrange multiplier" pressure
     double lagrange_p=get_interpolated_lagrange_p(s);
  
     //Get the incoming flux
     double flux=0.0;
     this->get_flux(ipt,time,x,unit_normal,interpolated_u,flux);
     
     //Output the x,y,..
     for(unsigned i=0;i<n_dim;i++)
      {
       outfile << x[i] << " ";
      }
     
     // Temperature
     outfile << interpolated_u << " ";
     
     // Incoming flux
     outfile << flux << " ";
     
     // Melt rate
     outfile << interpolated_m << " ";
     
     // Lagrange multiplier-like pressure
     outfile << lagrange_p << " ";
     
     // Outer unit normal
     for(unsigned i=0;i<n_dim;i++)
      {
       outfile << unit_normal[i] << " ";
      }
     outfile << std::endl;
    }
  }

References ProblemParameters::flux(), oomph::TemplateFreeUnsteadyHeatBaseFaceElement::get_flux(), oomph::SurfaceMeltElement< ELEMENT >::get_interpolated_lagrange_p(), i, oomph::FiniteElement::integral_pt(), oomph::SurfaceMeltElement< ELEMENT >::interpolated_melt_rate(), oomph::UnsteadyHeatBaseFaceElement< ELEMENT >::interpolated_u(), oomph::FaceElement::interpolated_x(), oomph::Integral::knot(), oomph::FiniteElement::nodal_dimension(), oomph::FiniteElement::node_pt(), oomph::Integral::nweight(), oomph::FaceElement::outer_unit_normal(), s, oomph::Time::time(), oomph::TimeStepper::time_pt(), oomph::Data::time_stepper_pt(), and plotDoE::x.

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

◆ set_lagrange_multiplier_pressure_to_zero()

template<class ELEMENT >

void oomph::SurfaceMeltElement< ELEMENT >::set_lagrange_multiplier_pressure_to_zero ( )

inline

Set "Lagrange multiplier pressure" to zero (to make things consistent with re-set Lagrangian coordinates

   {
    unsigned n_node=nnode();
    for(unsigned l=0;l<n_node;l++) 
     {
      // get the node pt
      Node* nod_pt = 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=
       bnod_pt->index_of_first_value_assigned_by_face_element(Melt_id);
      
      // Lagrange multiplier is first additional value created by this 
      // face element)
      nod_pt->set_value(first_index,0.0);
     }
   }

References oomph::BoundaryNodeBase::index_of_first_value_assigned_by_face_element(), oomph::SurfaceMeltElement< ELEMENT >::Melt_id, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), and oomph::Data::set_value().

Referenced by UnsteadyHeatMeltProblem< ELEMENT >::actions_after_adapt(), MeltContactProblem< ELEMENT >::complete_problem_setup(), and UnsteadyHeatMeltProblem< ELEMENT >::complete_problem_setup().

◆ zeta_nodal()

template<class ELEMENT >

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

inlinevirtual

Specify the value of nodal zeta from the face geometry: The "global" intrinsic coordinate of the element when viewed as part of a geometric object should be given by the FaceElement representation, by default (needed to break indeterminacy if bulk element is SolidElement)

Reimplemented from oomph::UnsteadyHeatBaseFaceElement< ELEMENT >.

Reimplemented in StefanBoltzmannMeltElement< ELEMENT >.

2464 {return FaceElement::zeta_nodal(n,k,i);}

n

const unsigned n

Definition: CG3DPackingUnitTest.cpp:11

oomph::FaceElement::zeta_nodal

double zeta_nodal(const unsigned &n, const unsigned &k, const unsigned &i) const

Definition: elements.h:4497

References i, k, n, and oomph::FaceElement::zeta_nodal().