#include <heat_transfer_and_melt_elements.h>

Inheritance diagram for oomph::UnsteadyHeatBaseFaceElement< ELEMENT >:

Public Member Functions
	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...

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

void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Compute the element residual vector. 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::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_local_dofs (std::ostream &out, const std::string &current_string) const

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)

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 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::TemplateFreeUnsteadyHeatBaseFaceElement
	TemplateFreeUnsteadyHeatBaseFaceElement ()
	Constructor. More...

virtual	~TemplateFreeUnsteadyHeatBaseFaceElement ()
	Destrutor. More...

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

Protected Member Functions
double	shape_and_test (const Vector< double > &s, Shape &psi, Shape &test) const

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_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::TemplateFreeUnsteadyHeatBaseFaceElement
virtual void	get_flux (const unsigned &ipt, const double &time, const Vector< double > &x, const Vector< double > &n, const double &u, double &flux)

Private Member Functions
void	fill_in_generic_residual_contribution_ust_heat_flux (Vector< double > &residuals)
	Generic residuals 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::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

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::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...

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::UnsteadyHeatBaseFaceElement< ELEMENT >

//////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////// A base class for face elements that involve all kinds of heat transfer. It's actually a fully functional re-implementation of the UnsteadyHeatFluxElement defined in the unsteady heat library with a slightly more general interface to the prescribed flux function (which we allow to depend on many additional (pre-computable) quantities.

Constructor & Destructor Documentation

◆ UnsteadyHeatBaseFaceElement()

template<class ELEMENT >

oomph::UnsteadyHeatBaseFaceElement< ELEMENT >::UnsteadyHeatBaseFaceElement	(	FiniteElement *const &	bulk_el_pt,
		const int &	face_index
	)

inline

Constructor.

    {
     
 #ifdef PARANOID
     {
      //Check that the element is not a refineable 3d element
      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
     
     //Attach the geometrical information to the element. N.B. This function
     //also assigns nbulk_value from the required_nvalue of the bulk element
     bulk_el_pt->build_face_element(face_index,this);    
  
     
     // Extract the dimension of the problem from the dimension of 
     // the first node
     Dim = this->node_pt(0)->ndim();
     
     //Cast to the appropriate UnsteadyHeatEquation so that we can
     //find the index at which the variable is stored
     //We assume that the dimension of the full problem is the same
     //as the dimension of the node, if this is not the case you will have
     //to write custom elements, sorry
     switch(Dim)
      {
       //One dimensional problem
      case 1:
      {
       UnsteadyHeatEquations<1>* eqn_pt = 
        dynamic_cast<UnsteadyHeatEquations<1>*>(bulk_el_pt);
       //If the cast has failed die
       if(eqn_pt==0)
        {
         std::string error_string =
          "Bulk element must inherit from UnsteadyHeatEquations.";
         error_string += 
          "Nodes are one dimensional, but cannot cast the bulk element to\n";
         error_string += "UnsteadyHeatEquations<1>\n.";
         error_string += 
          "If you desire this functionality, you must implement it yourself\n";
         
         throw OomphLibError(error_string,
                             OOMPH_CURRENT_FUNCTION,
                             OOMPH_EXCEPTION_LOCATION);
        }
       //Otherwise read out the value
       else
        {
         //Read the index from the (cast) bulk element
         U_index_ust_heat = eqn_pt->u_index_ust_heat();
        }
      }
      break;
      
      //Two dimensional problem
      case 2:
      {
       UnsteadyHeatEquations<2>* eqn_pt = 
        dynamic_cast<UnsteadyHeatEquations<2>*>(bulk_el_pt);
       //If the cast has failed die
       if(eqn_pt==0)
        {
         std::string error_string =
          "Bulk element must inherit from UnsteadyHeatEquations.";
         error_string += 
          "Nodes are two dimensional, but cannot cast the bulk element to\n";
         error_string += "UnsteadyHeatEquations<2>\n.";
         error_string += 
          "If you desire this functionality, you must implement it yourself\n";
         
         throw OomphLibError(error_string,
                             OOMPH_CURRENT_FUNCTION,
                             OOMPH_EXCEPTION_LOCATION);
        }
       else
        {
         //Read the index from the (cast) bulk element.
         U_index_ust_heat = eqn_pt->u_index_ust_heat();
        }
      }
      break;
      
      //Three dimensional problem
      case 3:
      {
       UnsteadyHeatEquations<3>* eqn_pt = 
        dynamic_cast<UnsteadyHeatEquations<3>*>(bulk_el_pt);
       //If the cast has failed die
       if(eqn_pt==0)
        {
         std::string error_string =
          "Bulk element must inherit from UnsteadyHeatEquations.";
         error_string += 
          "Nodes are three dimensional, but cannot cast the bulk element to\n";
         error_string += "UnsteadyHeatEquations<3>\n.";
       error_string += 
        "If you desire this functionality, you must implement it yourself\n";
       
       throw OomphLibError(error_string,
                           OOMPH_CURRENT_FUNCTION,
                           OOMPH_EXCEPTION_LOCATION);
        }
       else
        {
         //Read the index from the (cast) bulk element.
         U_index_ust_heat = eqn_pt->u_index_ust_heat();
        }
      }
      break;
      
      //Any other case is an error
      default:
       std::ostringstream error_stream; 
       error_stream <<  "Dimension of node is " << Dim 
                    << ". It should be 1,2, or 3!" << std::endl;
       
       throw OomphLibError(error_stream.str(),
                           OOMPH_CURRENT_FUNCTION,
                           OOMPH_EXCEPTION_LOCATION);
       break;
      }
     
    }

References oomph::FiniteElement::build_face_element(), oomph::TemplateFreeUnsteadyHeatBaseFaceElement::Dim, oomph::FiniteElement::dim(), oomph::FaceElement::face_index(), oomph::Node::ndim(), oomph::FiniteElement::node_pt(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::Global_string_for_annotation::string(), oomph::TemplateFreeUnsteadyHeatBaseFaceElement::U_index_ust_heat, and oomph::UnsteadyHeatEquations< DIM >::u_index_ust_heat().

◆ ~UnsteadyHeatBaseFaceElement()

template<class ELEMENT >

virtual oomph::UnsteadyHeatBaseFaceElement< ELEMENT >::~UnsteadyHeatBaseFaceElement ( )

inlinevirtual

Destructor.

1666 {}

Member Function Documentation

◆ fill_in_contribution_to_residuals()

template<class ELEMENT >

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

inlinevirtual

Compute the element residual vector.

Reimplemented from oomph::GeneralisedElement.

Reimplemented in oomph::SurfaceMeltElement< ELEMENT >.

   {
    //Call the generic residuals function
    fill_in_generic_residual_contribution_ust_heat_flux(residuals);
   }

References oomph::UnsteadyHeatBaseFaceElement< ELEMENT >::fill_in_generic_residual_contribution_ust_heat_flux().

◆ fill_in_generic_residual_contribution_ust_heat_flux()

template<class ELEMENT >

void oomph::UnsteadyHeatBaseFaceElement< ELEMENT >::fill_in_generic_residual_contribution_ust_heat_flux ( Vector< double > & residuals )

private

Generic residuals function.

Compute the element's residual vector. No Jacobian because we allow dependence of flux on "temperature" which introduces potential nonlinearity – currently handled by fd-ing.

 {
  //Find out how many nodes there are
  const unsigned n_node = nnode();
  
  // Get continuous time from timestepper of first node
  double time=node_pt(0)->time_stepper_pt()->time_pt()->time();
   
  //Set up memory for the shape and test functions
  Shape psif(n_node), testf(n_node);
  
  //Set the value of n_intpt
  const unsigned n_intpt = integral_pt()->nweight();
  
  //Set the Vector to hold local coordinates
  Vector<double> s(Dim-1);
  
  //Integer to store the local equation and unknowns
  int local_eqn=0;
  
  // Locally cache the index at which the variable is stored
  const unsigned u_index_ust_heat = U_index_ust_heat;
  
  //Loop over the integration points
  //--------------------------------
  for(unsigned ipt=0;ipt<n_intpt;ipt++)
   {
  
    //Assign values of s
    for(unsigned i=0;i<(Dim-1);i++)
     {
      s[i] = integral_pt()->knot(ipt,i);
     }
  
    //Get the integral weight
    double w = integral_pt()->weight(ipt);
    
    //Find the shape and test functions and return the Jacobian
    //of the mapping
    double J = shape_and_test(s,psif,testf);
    
    //Premultiply the weights and the Jacobian
    double W = w*J;
    
    //Need to find position to feed into flux function
    Vector<double> interpolated_x(Dim);
    
    //Initialise to zero
    double interpolated_u=0.0;
    for(unsigned i=0;i<Dim;i++)
     {
      interpolated_x[i] = 0.0;
     }
  
    // hierher replace in second sweep (once inline computation of
    // n has been validated somewhere)
  
    //Get the outer unit normal
    Vector<double> interpolated_n(Dim);
    this->outer_unit_normal(ipt,interpolated_n);
    
    //Calculate coordinate and temperature
    for(unsigned l=0;l<n_node;l++) 
     {
      double u_value = raw_nodal_value(l,u_index_ust_heat);
      interpolated_u += u_value*psif[l];
  
      //Loop over directions
      for(unsigned i=0;i<Dim;i++)
       {
        interpolated_x[i] += nodal_position(l,i)*psif[l];
       }
     }
    
    //Get the imposed flux
    double flux=0.0;
    get_flux(ipt,time,interpolated_x,interpolated_n,interpolated_u,flux);
    
    //Now add to the appropriate equations
    
    //Loop over the test functions
    for(unsigned l=0;l<n_node;l++)
     {
      local_eqn = nodal_local_eqn(l,u_index_ust_heat);
      /*IF it's not a boundary condition*/
      if(local_eqn >= 0)
       {
        //Add the prescribed flux terms
        residuals[local_eqn] -= flux*testf[l]*W;
       }
     }
   }
 }

References Global_Variables::Dim, ProblemParameters::flux(), oomph::get_flux(), i, J, s, w, and oomph::QuadTreeNames::W.

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

◆ interpolated_u()

template<class ELEMENT >

void oomph::UnsteadyHeatBaseFaceElement< ELEMENT >::interpolated_u	(	const Vector< double > &	s,
		double &	u
	)

inline

Temperature at local coordinate s.

   {
    u=0.0;
    
    //Find out how many nodes there are
    const unsigned n_node = nnode();
    
    //Set up memory for the shape functions
    Shape psif(n_node);
    
    // Get shape fct
    shape(s,psif);
    
    //Calculate temp
    for(unsigned l=0;l<n_node;l++) 
     {
      //Calculate the value at the nodes
      double u_value = raw_nodal_value(l,U_index_ust_heat);
      u += u_value*psif[l];
     }
   }

References oomph::FiniteElement::nnode(), oomph::FiniteElement::raw_nodal_value(), s, oomph::FiniteElement::shape(), and oomph::TemplateFreeUnsteadyHeatBaseFaceElement::U_index_ust_heat.

Referenced by oomph::UnsteadyHeatBaseFaceElement< ELEMENT >::output(), oomph::SurfaceMeltElement< ELEMENT >::output_melt(), and oomph::StefanBoltzmannUnsteadyHeatFluxElement< ELEMENT >::output_stefan_boltzmann_radiation().

◆ output() [1/4]

template<class ELEMENT >

void oomph::UnsteadyHeatBaseFaceElement< ELEMENT >::output ( FILE * file_pt )

inlinevirtual

C_style output function.

Reimplemented from oomph::FiniteElement.

1793 {FiniteElement::output(file_pt);}

oomph::FiniteElement::output

virtual void output(std::ostream &outfile)

Definition: elements.h:3050

References oomph::FiniteElement::output().

◆ output() [2/4]

template<class ELEMENT >

void oomph::UnsteadyHeatBaseFaceElement< ELEMENT >::output	(	FILE *	file_pt,
		const unsigned &	n_plot
	)

inlinevirtual

C-style output function.

Reimplemented from oomph::FiniteElement.

1797 {FiniteElement::output(file_pt,n_plot);}

References oomph::FiniteElement::output().

◆ output() [3/4]

template<class ELEMENT >

void oomph::UnsteadyHeatBaseFaceElement< ELEMENT >::output ( std::ostream & outfile )

inlinevirtual

Output function.

Reimplemented from oomph::FiniteElement.

  {
   unsigned nplot=5;
   output(outfile,nplot);
  }

◆ output() [4/4]

template<class ELEMENT >

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

inlinevirtual

Output function. Output "temperature", "incoming" heat flux, and outer unit normal. n_plot is ignored because flux function may depend explicitly on integration point!

Reimplemented from oomph::FiniteElement.

  { 
   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 the incoming flux
     double flux=0.0;
     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 << " ";
     
     // 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(), i, oomph::FiniteElement::integral_pt(), 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.

◆ shape_and_test()

template<class ELEMENT >

double oomph::UnsteadyHeatBaseFaceElement< ELEMENT >::shape_and_test	(	const Vector< double > &	s,
		Shape &	psi,
		Shape &	test
	)		const

inlineprotected

Function to compute the shape and test functions and to return the Jacobian of mapping between local and global (Eulerian) coordinates

  {
   //Find number of nodes
   unsigned n_node = nnode();
    
   //Get the shape functions
   shape(s,psi);
    
   //Set the test functions to be the same as the shape functions
   for(unsigned i=0;i<n_node;i++) {test[i] = psi[i];}
  
   //Return the value of the jacobian
   return J_eulerian(s);
  }

References i, oomph::FaceElement::J_eulerian(), oomph::FiniteElement::nnode(), s, and oomph::FiniteElement::shape().

◆ zeta_nodal()

template<class ELEMENT >

double oomph::UnsteadyHeatBaseFaceElement< 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::FiniteElement.

Reimplemented in oomph::StefanBoltzmannUnsteadyHeatFluxElement< ELEMENT >, StefanBoltzmannMeltElement< ELEMENT >, and oomph::SurfaceMeltElement< ELEMENT >.

1699 {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

k

char char char int int * k

Definition: level2_impl.h:374