#include <my_boussinesq_elements.h>

Inheritance diagram for RefineableQAdvectionDiffusionElementWithExternalElement< DIM >:

Public Member Functions
	RefineableQAdvectionDiffusionElementWithExternalElement ()
	Constructor: call the underlying constructors. More...

unsigned	required_nvalue (const unsigned &n) const

void	output (ostream &outfile)
	Overload the standard output function with the broken default. More...

void	output (ostream &outfile, const unsigned &nplot)

void	output (FILE *file_pt)
	C-style output function: Broken default. More...

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

void	output_fct (ostream &outfile, const unsigned &Nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)
	Output function for an exact solution: Broken default. More...

void	output_fct (ostream &outfile, const unsigned &Nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)

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

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

void	get_wind_adv_diff (const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, Vector< double > &wind) const

void	get_dwind_adv_diff_dexternal_element_data (const unsigned &ipt, const unsigned &i, Vector< double > &result, Vector< unsigned > &global_eqn_number)

void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Just call the fill_in_residuals for AdvDiff. More...

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

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

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

void	get_dof_numbers_for_unknowns (std::list< std::pair< unsigned long, unsigned > > &dof_lookup_list) const

unsigned	ndof_types () const
	Number of dof types in this element. More...

	RefineableQAdvectionDiffusionElementWithExternalElement ()
	Constructor: call the underlying constructors. More...

void	get_wind_adv_diff (const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, Vector< double > &wind) const

void	get_dwind_adv_diff_dexternal_element_data (const unsigned &ipt, const unsigned &i, Vector< double > &result, Vector< unsigned > &global_eqn_number)

void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Just call the fill_in_residuals for AdvDiff. More...

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

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

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

Public Member Functions inherited from oomph::RefineableQAdvectionDiffusionElement< DIM, 3 >
	RefineableQAdvectionDiffusionElement ()
	Empty Constructor: More...

	RefineableQAdvectionDiffusionElement (const RefineableQAdvectionDiffusionElement< DIM, NNODE_1D > &dummy)=delete
	Broken copy constructor. More...

void	operator= (const RefineableQAdvectionDiffusionElement< DIM, NNODE_1D > &)=delete
	Broken assignment operator. More...

unsigned	ncont_interpolated_values () const
	Number of continuously interpolated values: 1. More...

unsigned	nvertex_node () const
	Number of vertex nodes in the element. More...

Node *	vertex_node_pt (const unsigned &j) const
	Pointer to the j-th vertex node in the element. More...

void	rebuild_from_sons (Mesh *&mesh_pt)
	Rebuild from sons: empty. More...

unsigned	nrecovery_order ()

void	further_setup_hanging_nodes ()

Public Member Functions inherited from oomph::QAdvectionDiffusionElement< DIM, NNODE_1D >
	QAdvectionDiffusionElement ()

	QAdvectionDiffusionElement (const QAdvectionDiffusionElement< DIM, NNODE_1D > &dummy)=delete
	Broken copy constructor. More...

void	operator= (const QAdvectionDiffusionElement< DIM, NNODE_1D > &)=delete
	Broken assignment operator. More...

unsigned	required_nvalue (const unsigned &n) const

void	output (std::ostream &outfile)

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

void	output (FILE *file_pt)

void	output (FILE *file_pt, const unsigned &n_plot)

void	output_fct (std::ostream &outfile, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt)

void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt)

Public Member Functions inherited from oomph::AdvectionDiffusionEquations< DIM >
	AdvectionDiffusionEquations ()

	AdvectionDiffusionEquations (const AdvectionDiffusionEquations &dummy)=delete
	Broken copy constructor. More...

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

virtual unsigned	u_index_adv_diff () const

double	du_dt_adv_diff (const unsigned &n) const

void	disable_ALE ()

void	enable_ALE ()

unsigned	nscalar_paraview () const

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

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

void	compute_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
	Get error against and norm of exact solution. More...

void	compute_error (std::ostream &outfile, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
	Dummy, time dependent error checker. More...

AdvectionDiffusionSourceFctPt &	source_fct_pt ()
	Access function: Pointer to source function. More...

AdvectionDiffusionSourceFctPt	source_fct_pt () const
	Access function: Pointer to source function. Const version. More...

AdvectionDiffusionWindFctPt &	wind_fct_pt ()
	Access function: Pointer to wind function. More...

AdvectionDiffusionWindFctPt	wind_fct_pt () const
	Access function: Pointer to wind function. Const version. More...

const double &	pe () const
	Peclet number. More...

double *&	pe_pt ()
	Pointer to Peclet number. More...

const double &	pe_st () const
	Peclet number multiplied by Strouhal number. More...

double *&	pe_st_pt ()
	Pointer to Peclet number multipled by Strouha number. More...

virtual void	get_source_adv_diff (const unsigned &ipt, const Vector< double > &x, double &source) const

void	get_flux (const Vector< double > &s, Vector< double > &flux) const
	Get flux: \(\mbox{flux}[i] = \mbox{d}u / \mbox{d}x_i \). More...

void	fill_in_contribution_to_residuals (Vector< double > &residuals)
	Add the element's contribution to its residual vector (wrapper) More...

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

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

double	interpolated_u_adv_diff (const Vector< double > &s) const
	Return FE representation of function value u(s) at local coordinate s. More...

unsigned	self_test ()
	Self-test: Return 0 for OK. 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

virtual double	J_eulerian (const Vector< double > &s) const

virtual double	J_eulerian_at_knot (const unsigned &ipt) 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	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

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 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...

virtual double	interpolated_x (const Vector< double > &s, const unsigned &i) const
	Return FE interpolated coordinate x[i] at local coordinate s. More...

virtual double	interpolated_x (const unsigned &t, const Vector< double > &s, const unsigned &i) const

virtual void	interpolated_x (const Vector< double > &s, Vector< double > &x) const
	Return FE interpolated position x[] at local coordinate s as Vector. More...

virtual void	interpolated_x (const unsigned &t, const Vector< double > &s, Vector< double > &x) const

virtual double	interpolated_dxdt (const Vector< double > &s, const unsigned &i, const unsigned &t)

virtual void	interpolated_dxdt (const Vector< double > &s, const unsigned &t, Vector< double > &dxdt)

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)

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

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

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, 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	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 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::RefineableAdvectionDiffusionEquations< DIM >
	RefineableAdvectionDiffusionEquations ()
	Empty Constructor. More...

	RefineableAdvectionDiffusionEquations (const RefineableAdvectionDiffusionEquations< DIM > &dummy)=delete
	Broken copy constructor. More...

void	operator= (const RefineableAdvectionDiffusionEquations< DIM > &)=delete
	Broken assignment operator. More...

unsigned	num_Z2_flux_terms ()
	Number of 'flux' terms for Z2 error estimation. More...

void	get_Z2_flux (const Vector< double > &s, Vector< double > &flux)

void	get_interpolated_values (const Vector< double > &s, Vector< double > &values)

void	get_interpolated_values (const unsigned &t, const Vector< double > &s, Vector< double > &values)

void	further_build ()
	Further build: Copy source function pointer from father element. More...

void	dinterpolated_u_adv_diff_ddata (const Vector< double > &s, Vector< double > &du_ddata, Vector< unsigned > &global_eqn_number)

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

virtual	~RefineableElement ()
	Destructor, delete the allocated storage for the hanging equations. More...

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

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

Tree *	tree_pt ()
	Access function: Pointer to quadtree representation of this element. More...

void	set_tree_pt (Tree *my_tree_pt)
	Set pointer to quadtree representation of this element. More...

virtual unsigned	required_nsons () const

bool	refinement_is_enabled ()
	Flag to indicate suppression of any refinement. More...

void	disable_refinement ()
	Suppress of any refinement for this element. More...

void	enable_refinement ()
	Emnable refinement for this element. More...

template<class ELEMENT >
void	split (Vector< ELEMENT * > &son_pt) const

int	local_hang_eqn (Node *const &node_pt, const unsigned &i)

virtual void	build (Mesh &mesh_pt, Vector< Node > &new_node_pt, bool &was_already_built, std::ofstream &new_nodes_file)=0

void	set_refinement_level (const int &refine_level)
	Set the refinement level. More...

unsigned	refinement_level () const
	Return the Refinement level. More...

void	select_for_refinement ()
	Select the element for refinement. More...

void	deselect_for_refinement ()
	Deselect the element for refinement. More...

void	select_sons_for_unrefinement ()
	Unrefinement will be performed by merging the four sons of this element. More...

void	deselect_sons_for_unrefinement ()

bool	to_be_refined ()
	Has the element been selected for refinement? More...

bool	sons_to_be_unrefined ()
	Has the element been selected for unrefinement? More...

virtual void	unbuild ()

virtual void	deactivate_element ()

virtual bool	nodes_built ()
	Return true if all the nodes have been built, false if not. More...

long	number () const
	Element number (for debugging/plotting) More...

void	set_number (const long &mynumber)
	Set element number (for debugging/plotting) More...

virtual Node *	interpolating_node_pt (const unsigned &n, const int &value_id)

virtual double	local_one_d_fraction_of_interpolating_node (const unsigned &n1d, const unsigned &i, const int &value_id)

virtual Node *	get_interpolating_node_at_local_coordinate (const Vector< double > &s, const int &value_id)

virtual unsigned	ninterpolating_node (const int &value_id)

virtual unsigned	ninterpolating_node_1d (const int &value_id)

virtual void	interpolating_basis (const Vector< double > &s, Shape &psi, const int &value_id) const

virtual void	check_integrity (double &max_error)=0

void	identify_field_data_for_interactions (std::set< std::pair< Data *, unsigned >> &paired_field_data)

void	assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt)

virtual RefineableElement *	root_element_pt ()

virtual RefineableElement *	father_element_pt () const
	Return a pointer to the father element. More...

void	get_father_at_refinement_level (unsigned &refinement_level, RefineableElement *&father_at_reflevel_pt)

virtual void	initial_setup (Tree *const &adopted_father_pt=0, const unsigned &initial_p_order=0)

virtual void	pre_build (Mesh &mesh_pt, Vector< Node > &new_node_pt)
	Pre-build the element. More...

virtual void	setup_hanging_nodes (Vector< std::ofstream * > &output_stream)

void	get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)

unsigned	nshape_controlling_nodes ()

std::map< Node *, unsigned >	shape_controlling_node_lookup ()

Public Member Functions inherited from oomph::ElementWithZ2ErrorEstimator
	ElementWithZ2ErrorEstimator ()
	Default empty constructor. More...

	ElementWithZ2ErrorEstimator (const ElementWithZ2ErrorEstimator &)=delete
	Broken copy constructor. More...

void	operator= (const ElementWithZ2ErrorEstimator &)=delete
	Broken assignment operator. More...

virtual unsigned	ncompound_fluxes ()

virtual void	compute_exact_Z2_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_flux_pt, double &error, double &norm)

virtual void	get_Z2_compound_flux_indices (Vector< unsigned > &flux_index)

virtual double	geometric_jacobian (const Vector< double > &x)

Public Member Functions inherited from oomph::RefineableQElement< DIM >
	RefineableQElement ()
	Empty constuctor. More...

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

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

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

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

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

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

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

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

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

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

void	initialise_external_element_storage ()

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

void	set_ninteraction (const unsigned &n_interaction)

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

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

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

unsigned	nexternal_interaction_field_data () const

Vector< Data * >	external_interaction_field_data_pt () const

unsigned	nexternal_interaction_geometric_data () const

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

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

Vector< Data * >	external_interaction_geometric_data_pt () const

void	ignore_external_geometric_data ()

void	ignore_external_interaction_data ()

void	include_external_geometric_data ()

void	include_external_interaction_data ()

bool	external_geometric_data_is_included () const

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

Additional Inherited Members
Public Types inherited from oomph::AdvectionDiffusionEquations< DIM >
typedef void(*	AdvectionDiffusionSourceFctPt) (const Vector< double > &x, double &f)

typedef void(*	AdvectionDiffusionWindFctPt) (const Vector< double > &x, Vector< double > &wind)

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

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

Static Public Member Functions inherited from oomph::RefineableElement
static double &	max_integrity_tolerance ()
	Max. allowed discrepancy in element integrity check. More...

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 Member Functions inherited from oomph::QAdvectionDiffusionElement< DIM, NNODE_1D >
double	dshape_and_dtest_eulerian_adv_diff (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const

double	dshape_and_dtest_eulerian_at_knot_adv_diff (const unsigned &ipt, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const

Protected Member Functions inherited from oomph::FiniteElement
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 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

void	fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_nodal_fd ()

virtual void	reset_after_nodal_fd ()

virtual void	update_in_nodal_fd (const unsigned &i)

virtual void	reset_in_nodal_fd (const unsigned &i)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

bool	internal_data_fd (const unsigned &i) const

void	exclude_internal_data_fd (const unsigned &i)

void	include_internal_data_fd (const unsigned &i)

void	clear_global_eqn_numbers ()

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

virtual void	assign_additional_local_eqn_numbers ()

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

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

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

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

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

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

virtual void	update_before_internal_fd ()

virtual void	reset_after_internal_fd ()

virtual void	update_in_internal_fd (const unsigned &i)

virtual void	reset_in_internal_fd (const unsigned &i)

virtual void	update_before_external_fd ()

virtual void	reset_after_external_fd ()

virtual void	update_in_external_fd (const unsigned &i)

virtual void	reset_in_external_fd (const unsigned &i)

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

virtual void	fill_in_contribution_to_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::RefineableAdvectionDiffusionEquations< DIM >
void	fill_in_generic_residual_contribution_adv_diff (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, unsigned flag)

Protected Member Functions inherited from oomph::RefineableElement
void	assemble_local_to_eulerian_jacobian (const DShape &dpsids, DenseMatrix< double > &jacobian) const

void	assemble_local_to_eulerian_jacobian2 (const DShape &d2psids, DenseMatrix< double > &jacobian2) const

void	assemble_eulerian_base_vectors (const DShape &dpsids, DenseMatrix< double > &interpolated_G) const

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

void	assign_hanging_local_eqn_numbers (const bool &store_local_dof_pt)
	Assign the local equation numbers for hanging node variables. More...

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

Protected Member Functions inherited from oomph::ElementWithExternalElement
void	assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)

void	assign_external_interaction_data_local_eqn_numbers (const bool &store_local_dof_pt)

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

void	fill_in_jacobian_from_external_interaction_by_fd (DenseMatrix< double > &jacobian)

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

void	fill_in_jacobian_from_external_interaction_field_by_fd (DenseMatrix< double > &jacobian)

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

void	fill_in_jacobian_from_external_interaction_geometric_by_fd (DenseMatrix< double > &jacobian)

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

virtual void	update_before_external_interaction_field_fd ()

virtual void	reset_after_external_interaction_field_fd ()

virtual void	update_in_external_interaction_field_fd (const unsigned &i)

virtual void	reset_in_external_interaction_field_fd (const unsigned &i)

virtual void	update_before_external_interaction_geometric_fd ()

virtual void	reset_after_external_interaction_geometric_fd ()

virtual void	update_in_external_interaction_geometric_fd (const unsigned &i)

virtual void	reset_in_external_interaction_geometric_fd (const unsigned &i)

Static Protected Member Functions inherited from oomph::RefineableElement
static void	check_value_id (const int &n_continuously_interpolated_values, const int &value_id)

Protected Attributes inherited from oomph::AdvectionDiffusionEquations< DIM >
double *	Pe_pt
	Pointer to global Peclet number. More...

double *	PeSt_pt
	Pointer to global Peclet number multiplied by Strouhal number. More...

AdvectionDiffusionSourceFctPt	Source_fct_pt
	Pointer to source function: More...

AdvectionDiffusionWindFctPt	Wind_fct_pt
	Pointer to wind function: More...

bool	ALE_is_disabled

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::RefineableElement
Tree *	Tree_pt
	A pointer to a general tree object. More...

unsigned	Refine_level
	Refinement level. More...

bool	To_be_refined
	Flag for refinement. More...

bool	Refinement_is_enabled
	Flag to indicate suppression of any refinement. More...

bool	Sons_to_be_unrefined
	Flag for unrefinement. More...

long	Number
	Global element number – for plotting/validation purposes. More...

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

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

Data **	External_interaction_field_data_pt

Data **	External_interaction_geometric_data_pt

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

Static Protected Attributes inherited from oomph::RefineableElement
static double	Max_integrity_tolerance = 1.0e-8
	Max. allowed discrepancy in element integrity check. More...

Detailed Description

template<unsigned DIM>
class RefineableQAdvectionDiffusionElementWithExternalElement< DIM >

Build MyAdvectionDiffusionElement that inherits from ElementWithExternalElement so that it can "communicate" with the MyNavierStokesElement

Constructor & Destructor Documentation

◆ RefineableQAdvectionDiffusionElementWithExternalElement() [1/2]

template<unsigned DIM>

RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::RefineableQAdvectionDiffusionElementWithExternalElement ( )

inline

Constructor: call the underlying constructors.

                                                            : 
   RefineableQAdvectionDiffusionElement<DIM,3>(), ElementWithExternalElement()
   { 
    //There is one interaction
    this->set_ninteraction(1);
  
    //We do not need to add any external geometric data because the
    //element is fixed
    this->ignore_external_geometric_data();
   }

◆ RefineableQAdvectionDiffusionElementWithExternalElement() [2/2]

template<unsigned DIM>

RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::RefineableQAdvectionDiffusionElementWithExternalElement ( )

inline

Constructor: call the underlying constructors.

                                                            : 
   RefineableQAdvectionDiffusionElement<DIM,3>(), ElementWithExternalElement()
   { 
    //There is one interaction
    this->set_ninteraction(1);
  
    //We do not need to add any external geometric data because the
    //element is fixed
    this->ignore_external_geometric_data();
   }

Member Function Documentation

◆ compute_error() [1/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::compute_error	(	ostream &	outfile,
		FiniteElement::SteadyExactSolutionFctPt	exact_soln_pt,
		double &	error,
		double &	norm
	)

inline

Validate against exact solution. Solution is provided via function pointer. Plot at a given number of plot points and compute L2 error and L2 norm of velocity solution over element Call the broken default

538 {FiniteElement::compute_error(outfile,exact_soln_pt,error,norm);}

calibrate.error

int error

Definition: calibrate.py:297

oomph::compute_error

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

Get error against and norm of exact solution.

References oomph::FiniteElement::compute_error(), and calibrate::error.

◆ compute_error() [2/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::compute_error	(	ostream &	outfile,
		FiniteElement::UnsteadyExactSolutionFctPt	exact_soln_pt,
		const double &	time,
		double &	error,
		double &	norm
	)

inline

Testing firstly what happens when each mesh has the same refinement pattern as the single mesh with the combined element. In that case the recovery order and flux terms were solely based on the fluid. Validate against exact solution at given time Solution is provided via function pointer. Plot at a given number of plot points and compute L2 error and L2 norm of velocity solution over element Call the broken default

527 {FiniteElement::compute_error(outfile,exact_soln_pt,

528 time,error,norm);}

References oomph::FiniteElement::compute_error(), and calibrate::error.

◆ fill_in_contribution_to_jacobian() [1/2]

template<unsigned DIM>

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

inlinevirtual

Compute the element's residual vector and the Jacobian matrix. Jacobian is computed by finite-differencing.

Reimplemented from oomph::GeneralisedElement.

   {
 #ifdef USE_FD_JACOBIAN_FOR_MY_ADVECTION_DIFFUSION_ELEMENT   
    // This function computes the Jacobian by finite-differencing
    FiniteElement::fill_in_contribution_to_jacobian(residuals,jacobian);
 #else
    //Get the contribution from the basic Navier--Stokes element
    RefineableQAdvectionDiffusionElement<DIM,3>::
     fill_in_contribution_to_jacobian(residuals,jacobian);
    //Get the off-diagonal terms analytically
    this->fill_in_off_diagonal_block_analytic(residuals,jacobian);
 #endif
   }

References oomph::AdvectionDiffusionEquations< DIM >::fill_in_contribution_to_jacobian(), and oomph::FiniteElement::fill_in_contribution_to_jacobian().

◆ fill_in_contribution_to_jacobian() [2/2]

template<unsigned DIM>

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

inlinevirtual

Compute the element's residual vector and the Jacobian matrix. Jacobian is computed by finite-differencing.

Reimplemented from oomph::GeneralisedElement.

   {
 #ifdef USE_FD_JACOBIAN_FOR_MY_ADVECTION_DIFFUSION_ELEMENT   
    // This function computes the Jacobian by finite-differencing
    FiniteElement::fill_in_contribution_to_jacobian(residuals,jacobian);
 #else
    //Get the contribution from the basic Navier--Stokes element
    RefineableQAdvectionDiffusionElement<DIM,3>::
     fill_in_contribution_to_jacobian(residuals,jacobian);
    //Get the off-diagonal terms analytically
    this->fill_in_off_diagonal_block_analytic(residuals,jacobian);
 #endif
   }

References oomph::AdvectionDiffusionEquations< DIM >::fill_in_contribution_to_jacobian(), and oomph::FiniteElement::fill_in_contribution_to_jacobian().

◆ fill_in_contribution_to_jacobian_and_mass_matrix() [1/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::fill_in_contribution_to_jacobian_and_mass_matrix	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian,
		DenseMatrix< double > &	mass_matrix
	)

inlinevirtual

Add the element's contribution to its residuals vector, jacobian matrix and mass matrix

Reimplemented from oomph::GeneralisedElement.

   {
    //Call the standard (Broken) function
    //which will prevent these elements from being used
    //in eigenproblems until replaced.
    FiniteElement::fill_in_contribution_to_jacobian_and_mass_matrix(
      residuals,jacobian,mass_matrix);
   }

References oomph::GeneralisedElement::fill_in_contribution_to_jacobian_and_mass_matrix().

◆ fill_in_contribution_to_jacobian_and_mass_matrix() [2/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::fill_in_contribution_to_jacobian_and_mass_matrix	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian,
		DenseMatrix< double > &	mass_matrix
	)

inlinevirtual

Add the element's contribution to its residuals vector, jacobian matrix and mass matrix

Reimplemented from oomph::GeneralisedElement.

   {
    //Call the standard (Broken) function
    //which will prevent these elements from being used
    //in eigenproblems until replaced.
    FiniteElement::fill_in_contribution_to_jacobian_and_mass_matrix(
      residuals,jacobian,mass_matrix);
   }

References oomph::GeneralisedElement::fill_in_contribution_to_jacobian_and_mass_matrix().

◆ fill_in_contribution_to_residuals() [1/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::fill_in_contribution_to_residuals ( Vector< double > & residuals )

inlinevirtual

Just call the fill_in_residuals for AdvDiff.

Reimplemented from oomph::GeneralisedElement.

   {
    RefineableAdvectionDiffusionEquations<DIM>::
     fill_in_contribution_to_residuals(residuals);
   }

References oomph::AdvectionDiffusionEquations< DIM >::fill_in_contribution_to_residuals().

◆ fill_in_contribution_to_residuals() [2/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::fill_in_contribution_to_residuals ( Vector< double > & residuals )

inlinevirtual

Just call the fill_in_residuals for AdvDiff.

Reimplemented from oomph::GeneralisedElement.

   {
    RefineableAdvectionDiffusionEquations<DIM>::
     fill_in_contribution_to_residuals(residuals);
   }

References oomph::AdvectionDiffusionEquations< DIM >::fill_in_contribution_to_residuals().

◆ fill_in_off_diagonal_block_analytic() [1/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::fill_in_off_diagonal_block_analytic	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian
	)

inline

Compute the contribution of the external degrees of freedom (velocities) on the advection-diffusion equations

   {
    //Local storage for the index in the nodes at which the temperature 
    //is stored
    const unsigned u_nodal_adv_diff = this->u_index_adv_diff();
  
    //Find out how many nodes there are
    const unsigned n_node = this->nnode();
    
    //Set up memory for the shape and test functions and their derivatives
    Shape psi(n_node), test(n_node);
    DShape dpsidx(n_node,DIM), dtestdx(n_node,DIM);
    
    //Number of integration points
    const unsigned n_intpt = this->integral_pt()->nweight();
    
    //Integers to store the local equations and unknowns
    int local_eqn=0, local_unknown=0;
    
    // Local storage for pointers to hang_info objects
    HangInfo *hang_info_pt=0;   
  
    //Get the peclet number
    const double peclet = this->pe();
  
    //Loop over the integration points
    for(unsigned ipt=0;ipt<n_intpt;ipt++)
     {
      //Get the integral weight
      double w = this->integral_pt()->weight(ipt);
      
      //Call the derivatives of the shape and test functions
      double J = 
       this->dshape_and_dtest_eulerian_at_knot_adv_diff(ipt,psi,dpsidx,
                                                        test,dtestdx);
      
      //Premultiply the weights and the Jacobian
      double W = w*J;
      
      //Calculate local values of the derivatives of the solution
      Vector<double> interpolated_dudx(DIM,0.0);
      // Loop over nodes
      for(unsigned l=0;l<n_node;l++) 
       {
        // Loop over directions
        for(unsigned j=0;j<DIM;j++)
         {
          interpolated_dudx[j] += 
           this->nodal_value(l,u_nodal_adv_diff)*dpsidx(l,j);
         }
       }
      
      //Get the derivatives of the wind wrt the unknowns
      //of the external element
      Vector<double> dwind_dexternal_element_data;
      //Vector of global equation number corresponding to the external
      //element's data
      Vector<unsigned> global_eqn_number_of_external_element_data;
  
      //Loop over the wind directions
      for(unsigned i2=0;i2<DIM;i2++)
       {
        //Get the appropriate derivatives
        this->get_dwind_adv_diff_dexternal_element_data(
         ipt,i2,dwind_dexternal_element_data,
         global_eqn_number_of_external_element_data);
        
  
        //Find out how many external data there are
        const unsigned n_external_element_data = 
         global_eqn_number_of_external_element_data.size();
        
        //Loop over the test functions
        for(unsigned l=0;l<n_node;l++)
         {
          //Assemble the contributions of the velocities to 
          //the advection-diffusion equations
          unsigned n_master = 1;
          double hang_weight = 1.0;
          
          //Local bool (is the node hanging)
          bool is_node_hanging = this->node_pt(l)->is_hanging();
          
          //If the node is hanging, get the number of master nodes
          if(is_node_hanging)
           {
            hang_info_pt = this->node_pt(l)->hanging_pt();
            n_master = hang_info_pt->nmaster();
           }
          //Otherwise there is just one master node, the node itself
          else 
           {
            n_master = 1;
           }
          
          //Loop over the master nodes
          for(unsigned m=0;m<n_master;m++)
           {
            //If the node is hanging get weight from master node
            if(is_node_hanging)
             {
              //Get the hang weight from the master node
              hang_weight = hang_info_pt->master_weight(m);
             }
            else
             {
              // Node contributes with full weight
              hang_weight = 1.0;
             }
            
            //Get the equation number
            if(is_node_hanging)
             {
              //Get the equation number from the master node
              local_eqn = this->local_hang_eqn(hang_info_pt->master_node_pt(m),
                                               u_nodal_adv_diff);
             }
            else
             {
              // Local equation number
              local_eqn = this->nodal_local_eqn(l,u_nodal_adv_diff);
             }
            
            if(local_eqn >= 0)
             {
              //Loop over the external data
              for(unsigned l2=0;l2<n_external_element_data;l2++)
               { 
                //Find the local equation number corresponding to the global
                //unknown
                local_unknown = 
                 this->local_eqn_number(
                  global_eqn_number_of_external_element_data[l2]);
                if(local_unknown >= 0)
                 {
                  //Add contribution to jacobian matrix
                  jacobian(local_eqn,local_unknown) 
                   -= peclet*dwind_dexternal_element_data[l2]*
                   interpolated_dudx[i2]*test(l)*hang_weight*W;
                 }
               }
             }
           }
         }
       }
     }
   }

References DIM, J, j, m, oomph::HangInfo::master_node_pt(), oomph::HangInfo::master_weight(), oomph::HangInfo::nmaster(), oomph::pe(), Eigen::test, w, and oomph::QuadTreeNames::W.

◆ fill_in_off_diagonal_block_analytic() [2/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::fill_in_off_diagonal_block_analytic	(	Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian
	)

inline

Compute the contribution of the external degrees of freedom (velocities) on the advection-diffusion equations

   {
    //Local storage for the index in the nodes at which the temperature 
    //is stored
    const unsigned u_nodal_adv_diff = this->u_index_adv_diff();
  
    //Find out how many nodes there are
    const unsigned n_node = this->nnode();
    
    //Set up memory for the shape and test functions and their derivatives
    Shape psi(n_node), test(n_node);
    DShape dpsidx(n_node,DIM), dtestdx(n_node,DIM);
    
    //Number of integration points
    const unsigned n_intpt = this->integral_pt()->nweight();
    
    //Integers to store the local equations and unknowns
    int local_eqn=0, local_unknown=0;
    
    // Local storage for pointers to hang_info objects
    HangInfo *hang_info_pt=0;   
  
    //Get the peclet number
    const double peclet = this->pe();
  
    //Loop over the integration points
    for(unsigned ipt=0;ipt<n_intpt;ipt++)
     {
      //Get the integral weight
      double w = this->integral_pt()->weight(ipt);
      
      //Call the derivatives of the shape and test functions
      double J = 
       this->dshape_and_dtest_eulerian_at_knot_adv_diff(ipt,psi,dpsidx,
                                                        test,dtestdx);
      
      //Premultiply the weights and the Jacobian
      double W = w*J;
      
      //Calculate local values of the derivatives of the solution
      Vector<double> interpolated_dudx(DIM,0.0);
      // Loop over nodes
      for(unsigned l=0;l<n_node;l++) 
       {
        // Loop over directions
        for(unsigned j=0;j<DIM;j++)
         {
          interpolated_dudx[j] += 
           this->nodal_value(l,u_nodal_adv_diff)*dpsidx(l,j);
         }
       }
      
      //Get the derivatives of the wind wrt the unknowns
      //of the external element
      Vector<double> dwind_dexternal_element_data;
      //Vector of global equation number corresponding to the external
      //element's data
      Vector<unsigned> global_eqn_number_of_external_element_data;
  
      //Loop over the wind directions
      for(unsigned i2=0;i2<DIM;i2++)
       {
        //Get the appropriate derivatives
        this->get_dwind_adv_diff_dexternal_element_data(
         ipt,i2,dwind_dexternal_element_data,
         global_eqn_number_of_external_element_data);
        
  
        //Find out how many external data there are
        const unsigned n_external_element_data = 
         global_eqn_number_of_external_element_data.size();
        
        //Loop over the test functions
        for(unsigned l=0;l<n_node;l++)
         {
          //Assemble the contributions of the velocities to 
          //the advection-diffusion equations
          unsigned n_master = 1;
          double hang_weight = 1.0;
          
          //Local bool (is the node hanging)
          bool is_node_hanging = this->node_pt(l)->is_hanging();
          
          //If the node is hanging, get the number of master nodes
          if(is_node_hanging)
           {
            hang_info_pt = this->node_pt(l)->hanging_pt();
            n_master = hang_info_pt->nmaster();
           }
          //Otherwise there is just one master node, the node itself
          else 
           {
            n_master = 1;
           }
          
          //Loop over the master nodes
          for(unsigned m=0;m<n_master;m++)
           {
            //If the node is hanging get weight from master node
            if(is_node_hanging)
             {
              //Get the hang weight from the master node
              hang_weight = hang_info_pt->master_weight(m);
             }
            else
             {
              // Node contributes with full weight
              hang_weight = 1.0;
             }
            
            //Get the equation number
            if(is_node_hanging)
             {
              //Get the equation number from the master node
              local_eqn = this->local_hang_eqn(hang_info_pt->master_node_pt(m),
                                               u_nodal_adv_diff);
             }
            else
             {
              // Local equation number
              local_eqn = this->nodal_local_eqn(l,u_nodal_adv_diff);
             }
            
            if(local_eqn >= 0)
             {
              //Loop over the external data
              for(unsigned l2=0;l2<n_external_element_data;l2++)
               { 
                //Find the local equation number corresponding to the global
                //unknown
                local_unknown = 
                 this->local_eqn_number(
                  global_eqn_number_of_external_element_data[l2]);
                if(local_unknown >= 0)
                 {
                  //Add contribution to jacobian matrix
                  jacobian(local_eqn,local_unknown) 
                   -= peclet*dwind_dexternal_element_data[l2]*
                   interpolated_dudx[i2]*test(l)*hang_weight*W;
                 }
               }
             }
           }
         }
       }
     }
   }

References DIM, J, j, m, oomph::HangInfo::master_node_pt(), oomph::HangInfo::master_weight(), oomph::HangInfo::nmaster(), oomph::pe(), Eigen::test, w, and oomph::QuadTreeNames::W.

◆ get_dof_numbers_for_unknowns()

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::get_dof_numbers_for_unknowns ( std::list< std::pair< unsigned long, unsigned > > & dof_lookup_list ) const

inline

   {
    // There isn't an underlying AdvectionDiffusion example as yet, so
    // write one... !
  
    // number of nodes
    unsigned n_node = this->nnode();
  
    // temporary pair (used to store dof lookup prior to being added to list)
    std::pair<unsigned,unsigned> dof_lookup;
  
    // loop over the nodes
    for (unsigned n = 0; n < n_node; n++)
     {
      // find the number of values at this node
      unsigned nv = this->node_pt(n)->nvalue();
    
      //loop over these values
      for (unsigned v = 0; v < nv; v++)
       {
        // determine local eqn number
        int local_eqn_number = this->nodal_local_eqn(n, v);
      
        // ignore pinned values - far away degrees of freedom resulting 
        // from hanging nodes can be ignored since these are be dealt
        // with by the element containing their master nodes
        if (local_eqn_number >= 0)
         {
          // store dof lookup in temporary pair: Global equation number
          // is the first entry in pair
          dof_lookup.first = this->eqn_number(local_eqn_number);
        
          // set DOF numbers: DOF number is the second entry in pair
          dof_lookup.second = 0;
        
          // add to list
          dof_lookup_list.push_front(dof_lookup);
         }
       }
     }
   }

References n, and v.

◆ get_dwind_adv_diff_dexternal_element_data() [1/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::get_dwind_adv_diff_dexternal_element_data	(	const unsigned &	ipt,
		const unsigned &	i,
		Vector< double > &	result,
		Vector< unsigned > &	global_eqn_number
	)

Fill in the derivatives of the wind with respect to the external unknowns

Fill in the derivatives of the wind with respect to the external unknowns in the advection-diffusion equations

 {
  // The interaction index is 0 in this case
  unsigned interaction=0;
  
  // Dynamic cast "other" element to correct type
  RefineableNavierStokesEquations<DIM>* source_el_pt=
   dynamic_cast<RefineableNavierStokesEquations<DIM>*>
   (external_element_pt(interaction,ipt));
   
  // Get the external element's derivatives of the velocity with respect
  // to the data. The wind is just the Navier--Stokes velocity, so this
  // is all that's required
  source_el_pt->dinterpolated_u_nst_ddata(
   external_element_local_coord(interaction,ipt),i,result,
   global_eqn_number);
 }

References oomph::RefineableNavierStokesEquations< DIM >::dinterpolated_u_nst_ddata(), and i.

◆ get_dwind_adv_diff_dexternal_element_data() [2/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::get_dwind_adv_diff_dexternal_element_data	(	const unsigned &	ipt,
		const unsigned &	i,
		Vector< double > &	result,
		Vector< unsigned > &	global_eqn_number
	)

Fill in the derivatives of the wind with respect to the external unknowns

◆ get_wind_adv_diff() [1/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::get_wind_adv_diff	(	const unsigned &	ipt,
		const Vector< double > &	s,
		const Vector< double > &	x,
		Vector< double > &	wind
	)		const

virtual

Overload the wind function in the advection-diffusion equations. This provides the coupling from the Navier–Stokes equations to the advection-diffusion equations because the wind is the fluid velocity, obtained from the source element in the other mesh

Overload the wind function in the advection-diffusion equations. This provides the coupling from the Navier–Stokes equations to the advection-diffusion equations because the wind is the fluid velocity, obtained from the source elements in the other mesh

Reimplemented from oomph::AdvectionDiffusionEquations< DIM >.

 {
  // The interatction is stored at index 0 of the NST element
  unsigned interaction=0;
  
  // Dynamic cast "other" element to correct type
  RefineableNavierStokesEquations<DIM>* source_el_pt=
   dynamic_cast<RefineableNavierStokesEquations<DIM>*>
   (external_element_pt(interaction,ipt));
  
  //The wind function is simply the velocity at the points of the source element
  source_el_pt->interpolated_u_nst
   (external_element_local_coord(interaction,ipt),wind);
 }  

References oomph::NavierStokesEquations< DIM >::interpolated_u_nst().

◆ get_wind_adv_diff() [2/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::get_wind_adv_diff	(	const unsigned &	ipt,
		const Vector< double > &	s,
		const Vector< double > &	x,
		Vector< double > &	wind
	)		const

virtual

Overload the wind function in the advection-diffusion equations. This provides the coupling from the Navier–Stokes equations to the advection-diffusion equations because the wind is the fluid velocity, obtained from the source element in the other mesh

Reimplemented from oomph::AdvectionDiffusionEquations< DIM >.

◆ ndof_types()

template<unsigned DIM>

unsigned RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::ndof_types ( ) const

inlinevirtual

Number of dof types in this element.

Reimplemented from oomph::GeneralisedElement.

   {
    return 1;
   }

◆ output() [1/4]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::output ( FILE * file_pt )

inlinevirtual

C-style output function: Broken default.

Reimplemented from oomph::FiniteElement.

473 {FiniteElement::output(file_pt);}

output

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

Overload output function.

Definition: overloaded_element_body.h:490

References oomph::FiniteElement::output().

◆ output() [2/4]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::output	(	FILE *	file_pt,
		const unsigned &	n_plot
	)

inlinevirtual

C-style output function: Broken default.

Reimplemented from oomph::FiniteElement.

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

References oomph::FiniteElement::output().

◆ output() [3/4]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::output ( ostream & outfile )

inlinevirtual

Overload the standard output function with the broken default.

Reimplemented from oomph::FiniteElement.

437 {FiniteElement::output(outfile);}

References oomph::FiniteElement::output().

◆ output() [4/4]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::output	(	ostream &	outfile,
		const unsigned &	nplot
	)

inlinevirtual

Output function:
Output x, y, theta at Nplot^DIM plot points

Reimplemented from oomph::FiniteElement.

   {
    //vector of local coordinates
    Vector<double> s(DIM);
    
    // Tecplot header info
    outfile << this->tecplot_zone_string(nplot);
    
    // Loop over plot points
    unsigned num_plot_points=this->nplot_points(nplot);
    for (unsigned iplot=0;iplot<num_plot_points;iplot++)
     {
      // Get local coordinates of plot point
      this->get_s_plot(iplot,nplot,s);
      
      // Output the position of the plot point
      for(unsigned i=0;i<DIM;i++) 
       {outfile << this->interpolated_x(s,i) << " ";}
      
      // Output the temperature (the advected variable) at the plot point
      outfile << this->interpolated_u_adv_diff(s) << std::endl;   
     }
    outfile << std::endl;
    
    // Write tecplot footer (e.g. FE connectivity lists)
    this->write_tecplot_zone_footer(outfile,nplot);
   } //End of output function

References DIM, i, and s.

◆ output_fct() [1/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::output_fct	(	ostream &	outfile,
		const unsigned &	Nplot,
		const double &	time,
		FiniteElement::UnsteadyExactSolutionFctPt	exact_soln_pt
	)

inline

Output function for a time-dependent exact solution: Broken default.

   {
    FiniteElement::
     output_fct(outfile,Nplot,time,exact_soln_pt);
   }

References oomph::FiniteElement::output_fct().

◆ output_fct() [2/2]

template<unsigned DIM>

void RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::output_fct	(	ostream &	outfile,
		const unsigned &	Nplot,
		FiniteElement::SteadyExactSolutionFctPt	exact_soln_pt
	)

inline

Output function for an exact solution: Broken default.

483 {FiniteElement::output_fct(outfile,Nplot,exact_soln_pt);}

References oomph::FiniteElement::output_fct().

◆ required_nvalue()

template<unsigned DIM>

unsigned RefineableQAdvectionDiffusionElementWithExternalElement< DIM >::required_nvalue ( const unsigned & n ) const

inlinevirtual

The required number of values stored at the nodes is the number of required values of the AdvectionDiffusionElement.

Reimplemented from oomph::FiniteElement.

434 {return RefineableQAdvectionDiffusionElement<DIM,3>::required_nvalue(n);}

References n, and oomph::QAdvectionDiffusionElement< DIM, NNODE_1D >::required_nvalue().

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

Public Member Functions

Additional Inherited Members

Detailed Description

template<unsigned DIM> class RefineableQAdvectionDiffusionElementWithExternalElement< DIM >

Constructor & Destructor Documentation

◆ RefineableQAdvectionDiffusionElementWithExternalElement() [1/2]

◆ RefineableQAdvectionDiffusionElementWithExternalElement() [2/2]

Member Function Documentation

◆ compute_error() [1/2]

◆ compute_error() [2/2]

◆ fill_in_contribution_to_jacobian() [1/2]

◆ fill_in_contribution_to_jacobian() [2/2]

◆ fill_in_contribution_to_jacobian_and_mass_matrix() [1/2]

◆ fill_in_contribution_to_jacobian_and_mass_matrix() [2/2]

◆ fill_in_contribution_to_residuals() [1/2]

◆ fill_in_contribution_to_residuals() [2/2]

◆ fill_in_off_diagonal_block_analytic() [1/2]

◆ fill_in_off_diagonal_block_analytic() [2/2]

◆ get_dof_numbers_for_unknowns()

◆ get_dwind_adv_diff_dexternal_element_data() [1/2]

◆ get_dwind_adv_diff_dexternal_element_data() [2/2]

◆ get_wind_adv_diff() [1/2]

◆ get_wind_adv_diff() [2/2]

◆ ndof_types()

◆ output() [1/4]

◆ output() [2/4]

◆ output() [3/4]

◆ output() [4/4]

◆ output_fct() [1/2]

◆ output_fct() [2/2]

◆ required_nvalue()

template<unsigned DIM>
class RefineableQAdvectionDiffusionElementWithExternalElement< DIM >