Overload TaylorHood element to modify output. More...

#include <my_taylor_hood_elements.h>

Inheritance diagram for oomph::MyTaylorHoodElement< DIM >:

Public Member Functions
	MyTaylorHoodElement ()
	Constructor initialise error. More...

void	output (std::ostream &outfile, const unsigned &nplot)
	Overload output function. More...

	MyTaylorHoodElement ()
	Constructor initialise error. More...

void	set_error (const double &error)
	Set error value for post-processing. More...

std::string	variable_identifier ()
	Return variable identifier. More...

void	output (std::ostream &outfile, const unsigned &nplot)
	Overload output function. More...

double	square_of_l2_norm ()
	Get square of L2 norm of velocity. More...

	MyTaylorHoodElement ()
	Constructor initialise error. More...

void	set_error (const double &error)
	Set error value for post-processing. More...

std::string	variable_identifier ()
	Return variable identifier. More...

void	output (std::ostream &outfile, const unsigned &nplot)
	Overload output function. More...

double	square_of_l2_norm ()
	Get square of L2 norm of velocity. More...

	MyTaylorHoodElement ()
	Constructor initialise error. More...

void	set_error (const double &error)
	Set error value for post-processing. More...

std::string	variable_identifier ()
	Return variable identifier. More...

void	output (std::ostream &outfile, const unsigned &nplot)
	Overload output function. More...

double	square_of_l2_norm ()
	Get square of L2 norm of velocity. More...

Public Member Functions inherited from oomph::PseudoSolidNodeUpdateElement< AxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >
	PseudoSolidNodeUpdateElement ()

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

void	compute_norm (double &el_norm)

unsigned	required_nvalue (const unsigned &n) const
	The required number of values is the sum of the two. More...

int	solid_p_nodal_index () const

void	fill_in_contribution_to_residuals (Vector< double > &residuals)

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	evaluate_shape_derivs_by_direct_fd ()
	Evaluate shape derivatives by direct finite differencing. More...

void	evaluate_shape_derivs_by_chain_rule ()
	Evaluate shape derivatives by chain rule. More...

void	fill_in_shape_derivatives (DenseMatrix< double > &jacobian)

void	fill_in_shape_derivatives_by_fd (DenseMatrix< double > &jacobian)

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

void	output (std::ostream &outfile)
	Overload the output function: Call that of the basic element. More...

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

void	output (FILE *file_pt)
	Overload the output function: Call that of the basic element. More...

void	output (FILE *file_pt, const unsigned &n_p)
	Output function is just the same as the basic equations. More...

unsigned	num_Z2_flux_terms ()

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

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

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...

unsigned	nrecovery_order ()

unsigned	ndof_types () const

unsigned	nbasic_dof_types () const

unsigned	nsolid_dof_types () const

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

Public Member Functions inherited from oomph::AxisymmetricTTaylorHoodElement
	AxisymmetricTTaylorHoodElement ()
	Constructor, no internal data points. More...

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

void	pshape_axi_nst (const Vector< double > &s, Shape &psi) const
	Test whether the pressure dof p_dof hanging or not? More...

void	pshape_axi_nst (const Vector< double > &s, Shape &psi, Shape &test) const
	Pressure shape and test functions at local coordinte s. More...

unsigned	p_index_axi_nst ()
	Which nodal value represents the pressure? More...

int	p_local_eqn (const unsigned &n) const
	Pointer to n_p-th pressure node. More...

double	p_axi_nst (const unsigned &n_p) const

int	p_nodal_index_axi_nst () const
	Set the value at which the pressure is stored in the nodes. More...

unsigned	npres_axi_nst () const
	Return number of pressure values. More...

void	fix_pressure (const unsigned &p_dof, const double &p_value)
	Pin p_dof-th pressure dof and set it to value specified by p_value. More...

void	identify_load_data (std::set< std::pair< Data *, unsigned >> &paired_load_data)

void	identify_pressure_data (std::set< std::pair< Data *, unsigned >> &paired_pressure_data)

Public Member Functions inherited from oomph::TElement< 2, 3 >
const unsigned	Node_on_face [3][2]
	Assign the nodal translation schemes. More...

const unsigned	Node_on_face [3][3]

const unsigned	Node_on_face [3][4]

const unsigned	Node_on_face [4][3]
	Assign the nodal translation scheme for linear elements. More...

const unsigned	Node_on_face [4][6]
	Assign the nodal translation scheme for quadratic elements. More...

Public Member Functions inherited from oomph::AxisymmetricNavierStokesEquations
	AxisymmetricNavierStokesEquations ()
	Constructor: NULL the body force and source function. More...

const double &	re () const
	Reynolds number. More...

const double &	re_st () const
	Product of Reynolds and Strouhal number (=Womersley number) More...

double *&	re_pt ()
	Pointer to Reynolds number. More...

double *&	re_st_pt ()
	Pointer to product of Reynolds and Strouhal number (=Womersley number) More...

const double &	re_invfr () const
	Global inverse Froude number. More...

double *&	re_invfr_pt ()
	Pointer to global inverse Froude number. More...

const double &	re_invro () const
	Global Reynolds number multiplied by inverse Rossby number. More...

double *&	re_invro_pt ()
	Pointer to global inverse Froude number. More...

const Vector< double > &	g () const
	Vector of gravitational components. More...

Vector< double > *&	g_pt ()
	Pointer to Vector of gravitational components. More...

const double &	density_ratio () const

double *&	density_ratio_pt ()
	Pointer to Density ratio. More...

const double &	viscosity_ratio () const

double *&	viscosity_ratio_pt ()
	Pointer to Viscosity Ratio. More...

virtual unsigned	u_index_axi_nst (const unsigned &i) const

unsigned	u_index_nst (const unsigned &i) const

unsigned	n_u_nst () const

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

void	disable_ALE ()

void	enable_ALE ()

double	pressure_integral () const
	Integral of pressure over element. More...

double	dissipation () const
	Return integral of dissipation over element. More...

double	dissipation (const Vector< double > &s) const
	Return dissipation at local coordinate s. More...

double	kin_energy () const
	Get integral of kinetic energy over element. More...

void	strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const
	Strain-rate tensor: \( e_{ij} \) where \( i,j = r,z,\theta \) (in that order) More...

void	traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction) const

void	get_pressure_and_velocity_mass_matrix_diagonal (Vector< double > &press_mass_diag, Vector< double > &veloc_mass_diag, const unsigned &which_one=0)

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

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

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

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

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

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

virtual void	get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)

void	fill_in_contribution_to_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)
	Compute the element's residual Vector. More...

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

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)

void	interpolated_u_axi_nst (const Vector< double > &s, Vector< double > &veloc) const
	Compute vector of FE interpolated velocity u at local coordinate s. More...

double	interpolated_u_axi_nst (const Vector< double > &s, const unsigned &i) const
	Return FE interpolated velocity u[i] at local coordinate s. More...

double	interpolated_u_axi_nst (const unsigned &t, const Vector< double > &s, const unsigned &i) const
	Return FE interpolated velocity u[i] at local coordinate s. More...

virtual void	dinterpolated_u_axi_nst_ddata (const Vector< double > &s, const unsigned &i, Vector< double > &du_ddata, Vector< unsigned > &global_eqn_number)

double	interpolated_p_axi_nst (const Vector< double > &s) const
	Return FE interpolated pressure at local coordinate s. More...

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

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

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

double	interpolated_d_dudx_dX_axi_nst (const Vector< double > &s, const unsigned &p, const unsigned &q, const unsigned &i, const unsigned &k) const

double	compute_physical_size () const
	Compute the volume of the element. More...

Public Member Functions inherited from oomph::FiniteElement
void	set_dimension (const unsigned &dim)

void	set_nodal_dimension (const unsigned &nodal_dim)

void	set_nnodal_position_type (const unsigned &nposition_type)
	Set the number of types required to interpolate the coordinate. More...

void	set_n_node (const unsigned &n)

int	nodal_local_eqn (const unsigned &n, const unsigned &i) const

double	dJ_eulerian_at_knot (const unsigned &ipt, Shape &psi, DenseMatrix< double > &djacobian_dX) const

	FiniteElement ()
	Constructor. More...

virtual	~FiniteElement ()

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

virtual bool	local_coord_is_valid (const Vector< double > &s)
	Broken assignment operator. More...

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

void	get_centre_of_gravity_and_max_radius_in_terms_of_zeta (Vector< double > &cog, double &max_radius) const

virtual void	local_coordinate_of_node (const unsigned &j, Vector< double > &s) const

virtual void	local_fraction_of_node (const unsigned &j, Vector< double > &s_fraction)

virtual double	local_one_d_fraction_of_node (const unsigned &n1d, const unsigned &i)

MacroElement *	macro_elem_pt ()
	Access function to pointer to macro element. More...

void	get_x (const Vector< double > &s, Vector< double > &x) const

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

virtual void	get_x_from_macro_element (const Vector< double > &s, Vector< double > &x) const

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

virtual void	set_integration_scheme (Integral *const &integral_pt)
	Set the spatial integration scheme. More...

Integral *const &	integral_pt () const
	Return the pointer to the integration scheme (const version) More...

virtual void	shape (const Vector< double > &s, Shape &psi) const =0

virtual void	shape_at_knot (const unsigned &ipt, Shape &psi) const

virtual void	dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const

virtual void	dshape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids) const

virtual void	d2shape_local (const Vector< double > &s, Shape &psi, DShape &dpsids, DShape &d2psids) const

virtual void	d2shape_local_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsids, DShape &d2psids) const

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	assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt)

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

Node *&	node_pt (const unsigned &n)
	Return a pointer to the local node n. More...

Node *const &	node_pt (const unsigned &n) const
	Return a pointer to the local node n (const version) More...

unsigned	nnode () const
	Return the number of nodes. More...

virtual unsigned	nnode_1d () const

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

double	raw_nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const

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

double	raw_dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const

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

double	raw_nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const

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

double	raw_dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const

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

double	nodal_position (const unsigned &t, const unsigned &n, const unsigned &i) const

double	dnodal_position_dt (const unsigned &n, const unsigned &i) const
	Return the i-th component of nodal velocity: dx/dt at local node n. More...

double	dnodal_position_dt (const unsigned &n, const unsigned &j, const unsigned &i) const

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

double	nodal_position_gen (const unsigned &t, const unsigned &n, const unsigned &k, const unsigned &i) const

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

double	dnodal_position_gen_dt (const unsigned &j, const unsigned &n, const unsigned &k, const unsigned &i) const

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...

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)

void	position (const Vector< double > &zeta, Vector< double > &r) const

void	position (const unsigned &t, const Vector< double > &zeta, Vector< double > &r) const

void	dposition_dt (const Vector< double > &zeta, const unsigned &t, Vector< double > &drdt)

void	interpolated_zeta (const Vector< double > &s, Vector< double > &zeta) const

void	locate_zeta (const Vector< double > &zeta, GeomObject *&geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false)

virtual void	node_update ()

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

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

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

double	size () const

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	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, 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	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)

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::NavierStokesElementWithDiagonalMassMatrices
	NavierStokesElementWithDiagonalMassMatrices ()
	Empty constructor. More...

virtual	~NavierStokesElementWithDiagonalMassMatrices ()
	Virtual destructor. More...

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

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

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	get_Z2_compound_flux_indices (Vector< unsigned > &flux_index)

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

Public Member Functions inherited from oomph::TPVDElement< DIM, NNODE_1D >
	TPVDElement ()
	Constructor, there are no internal data points. More...

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

Public Member Functions inherited from oomph::PVDEquations< DIM >
	PVDEquations ()
	Constructor. More...

void	get_stress (const Vector< double > &s, DenseMatrix< double > &sigma)

void	extended_output (std::ostream &outfile, const unsigned &n_plot)
	Output: x,y,[z],xi0,xi1,[xi2],gamma strain and stress components. More...

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

ConstitutiveLaw *&	constitutive_law_pt ()
	Return the constitutive law pointer. More...

const double &	lambda_sq () const
	Access function for timescale ratio (nondim density) More...

double *&	lambda_sq_pt ()
	Access function for pointer to timescale ratio (nondim density) More...

IsotropicGrowthFctPt &	isotropic_growth_fct_pt ()
	Access function: Pointer to isotropic growth function. More...

PrestressFctPt &	prestress_fct_pt ()
	Access function: Pointer to pre-stress function. More...

IsotropicGrowthFctPt	isotropic_growth_fct_pt () const
	Access function: Pointer to isotropic growth function (const version) More...

BodyForceFctPt &	body_force_fct_pt ()
	Access function: Pointer to body force function. More...

BodyForceFctPt	body_force_fct_pt () const
	Access function: Pointer to body force function (const version) More...

void	enable_inertia ()
	Switch on solid inertia. More...

void	disable_inertia ()
	Switch off solid inertia. More...

bool	is_inertia_enabled () const
	Access function to flag that switches inertia on/off (const version) More...

virtual unsigned	npres_solid () const

virtual int	solid_p_local_eqn (const unsigned &i) const

virtual void	pin_elemental_redundant_nodal_solid_pressures ()
	Pin the element's redundant solid pressures (needed for refinement) More...

void	get_strain (const Vector< double > &s, DenseMatrix< double > &strain) const
	Return the strain tensor. More...

void	get_energy (double &pot_en, double &kin_en)
	Get potential (strain) and kinetic energy. More...

void	get_deformed_covariant_basis_vectors (const Vector< double > &s, DenseMatrix< double > &def_covariant_basis)

void	get_principal_stress (const Vector< double > &s, DenseMatrix< double > &principal_stress_vector, Vector< double > &principal_stress)

virtual void	get_isotropic_growth (const unsigned &ipt, const Vector< double > &s, const Vector< double > &xi, double &gamma) const

void	body_force (const Vector< double > &xi, Vector< double > &b) const

void	enable_evaluate_jacobian_by_fd ()
	Set Jacobian to be evaluated by FD? Else: Analytically. More...

void	disable_evaluate_jacobian_by_fd ()
	Set Jacobian to be evaluated analytically Else: by FD. More...

bool	is_jacobian_evaluated_by_fd () const
	Return the flag indicating whether the jacobian is evaluated by fd. More...

double	prestress (const unsigned &i, const unsigned &j, const Vector< double > xi)

Public Member Functions inherited from oomph::SolidFiniteElement
void	set_lagrangian_dimension (const unsigned &lagrangian_dimension)

virtual bool	has_internal_solid_data ()

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

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

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

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

Data *	geom_data_pt (const unsigned &j)

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

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

virtual void	set_macro_elem_pt (MacroElement *macro_elem_pt)

virtual void	set_macro_elem_pt (MacroElement macro_elem_pt, MacroElement undeformed_macro_elem_pt)

void	set_undeformed_macro_elem_pt (MacroElement *undeformed_macro_elem_pt)

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

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

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

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

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

unsigned	lagrangian_dimension () const

unsigned	nnodal_lagrangian_type () const

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

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

Node *	construct_boundary_node (const unsigned &n)

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

virtual void	assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt)

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

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

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

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

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

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

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

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

virtual double	J_lagrangian_at_knot (const unsigned &ipt) const

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

void	enable_solve_for_consistent_newmark_accel ()

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

MultiplierFctPt &	multiplier_fct_pt ()

MultiplierFctPt	multiplier_fct_pt () const

virtual void	get_residuals_for_solid_ic (Vector< double > &residuals)

void	fill_in_residuals_for_solid_ic (Vector< double > &residuals)

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

void	fill_in_jacobian_for_newmark_accel (DenseMatrix< double > &jacobian)

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

Public Member Functions inherited from oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianAxisymmetricTTaylorHoodElement, TPVDElement< 2, 3 > >
	PseudoSolidNodeUpdateElement ()

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

void	compute_norm (double &el_norm)

unsigned	required_nvalue (const unsigned &n) const
	The required number of values is the sum of the two. More...

int	solid_p_nodal_index () const

void	fill_in_contribution_to_residuals (Vector< double > &residuals)

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	evaluate_shape_derivs_by_direct_fd ()
	Evaluate shape derivatives by direct finite differencing. More...

void	evaluate_shape_derivs_by_chain_rule ()
	Evaluate shape derivatives by chain rule. More...

void	fill_in_shape_derivatives (DenseMatrix< double > &jacobian)

void	fill_in_shape_derivatives_by_fd (DenseMatrix< double > &jacobian)

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

void	output (std::ostream &outfile)
	Overload the output function: Call that of the basic element. More...

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

void	output (FILE *file_pt)
	Overload the output function: Call that of the basic element. More...

void	output (FILE *file_pt, const unsigned &n_p)
	Output function is just the same as the basic equations. More...

unsigned	num_Z2_flux_terms ()

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

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

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...

unsigned	nrecovery_order ()

unsigned	ndof_types () const

unsigned	nbasic_dof_types () const

unsigned	nsolid_dof_types () const

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

Public Member Functions inherited from oomph::GeneralisedNewtonianAxisymmetricTTaylorHoodElement
	GeneralisedNewtonianAxisymmetricTTaylorHoodElement ()
	Constructor, no internal data points. More...

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

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

void	pshape_axi_nst (const Vector< double > &s, Shape &psi) const
	Test whether the pressure dof p_dof hanging or not? More...

void	pshape_axi_nst (const Vector< double > &s, Shape &psi, Shape &test) const
	Pressure shape and test functions at local coordinte s. More...

unsigned	p_index_axi_nst ()
	Which nodal value represents the pressure? More...

int	p_local_eqn (const unsigned &n) const
	Pointer to n_p-th pressure node. More...

double	p_axi_nst (const unsigned &n_p) const

int	p_nodal_index_axi_nst () const
	Set the value at which the pressure is stored in the nodes. More...

unsigned	npres_axi_nst () const
	Return number of pressure values. More...

void	fix_pressure (const unsigned &p_dof, const double &p_value)
	Pin p_dof-th pressure dof and set it to value specified by p_value. More...

void	identify_load_data (std::set< std::pair< Data *, unsigned >> &paired_load_data)

void	identify_pressure_data (std::set< std::pair< Data *, unsigned >> &paired_pressure_data)

Public Member Functions inherited from oomph::GeneralisedNewtonianAxisymmetricNavierStokesEquations
	GeneralisedNewtonianAxisymmetricNavierStokesEquations ()
	Constructor: NULL the body force and source function. More...

const double &	re () const
	Reynolds number. More...

const double &	re_st () const
	Product of Reynolds and Strouhal number (=Womersley number) More...

double *&	re_pt ()
	Pointer to Reynolds number. More...

double *&	re_st_pt ()
	Pointer to product of Reynolds and Strouhal number (=Womersley number) More...

const double &	re_invfr () const
	Global inverse Froude number. More...

double *&	re_invfr_pt ()
	Pointer to global inverse Froude number. More...

const double &	re_invro () const
	Global Reynolds number multiplied by inverse Rossby number. More...

double *&	re_invro_pt ()
	Pointer to global inverse Froude number. More...

const Vector< double > &	g () const
	Vector of gravitational components. More...

Vector< double > *&	g_pt ()
	Pointer to Vector of gravitational components. More...

const double &	density_ratio () const

double *&	density_ratio_pt ()
	Pointer to Density ratio. More...

const double &	viscosity_ratio () const

double *&	viscosity_ratio_pt ()
	Pointer to Viscosity Ratio. More...

GeneralisedNewtonianConstitutiveEquation< 3 > *&	constitutive_eqn_pt ()
	Access function for the constitutive equation pointer. More...

void	use_current_strainrate_to_compute_second_invariant ()
	Switch to fully implict evaluation of non-Newtonian const eqn. More...

void	use_extrapolated_strainrate_to_compute_second_invariant ()
	Use extrapolation for non-Newtonian const eqn. More...

virtual unsigned	u_index_axi_nst (const unsigned &i) const

unsigned	u_index_nst (const unsigned &i) const

unsigned	n_u_nst () const

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

void	disable_ALE ()

void	enable_ALE ()

double	pressure_integral () const
	Integral of pressure over element. More...

void	max_and_min_invariant_and_viscosity (double &min_invariant, double &max_invariant, double &min_viscosity, double &max_viscosity) const

double	dissipation () const
	Return integral of dissipation over element. More...

double	dissipation (const Vector< double > &s) const
	Return dissipation at local coordinate s. More...

double	kin_energy () const
	Get integral of kinetic energy over element. More...

void	strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const

void	strain_rate (const unsigned &t, const Vector< double > &s, DenseMatrix< double > &strain_rate) const

virtual void	extrapolated_strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const

virtual void	extrapolated_strain_rate (const unsigned &ipt, DenseMatrix< double > &strain_rate) const

void	traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction) const

void	get_pressure_and_velocity_mass_matrix_diagonal (Vector< double > &press_mass_diag, Vector< double > &veloc_mass_diag, const unsigned &which_one=0)

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

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

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

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

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

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

virtual void	get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)

void	fill_in_contribution_to_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)
	Compute the element's residual Vector. More...

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

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)

void	interpolated_u_axi_nst (const Vector< double > &s, Vector< double > &veloc) const
	Compute vector of FE interpolated velocity u at local coordinate s. More...

double	interpolated_u_axi_nst (const Vector< double > &s, const unsigned &i) const
	Return FE interpolated velocity u[i] at local coordinate s. More...

double	interpolated_u_axi_nst (const unsigned &t, const Vector< double > &s, const unsigned &i) const
	Return FE interpolated velocity u[i] at local coordinate s. More...

virtual void	dinterpolated_u_axi_nst_ddata (const Vector< double > &s, const unsigned &i, Vector< double > &du_ddata, Vector< unsigned > &global_eqn_number)

double	interpolated_p_axi_nst (const Vector< double > &s) const
	Return FE interpolated pressure at local coordinate s. More...

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

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

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

double	interpolated_d_dudx_dX_axi_nst (const Vector< double > &s, const unsigned &p, const unsigned &q, const unsigned &i, const unsigned &k) const

double	compute_physical_size () const
	Compute the volume of the element. More...

Public Member Functions inherited from oomph::PseudoSolidNodeUpdateElement< GeneralisedNewtonianTTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >
	PseudoSolidNodeUpdateElement ()

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

void	compute_norm (double &el_norm)

unsigned	required_nvalue (const unsigned &n) const
	The required number of values is the sum of the two. More...

int	solid_p_nodal_index () const

void	fill_in_contribution_to_residuals (Vector< double > &residuals)

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	evaluate_shape_derivs_by_direct_fd ()
	Evaluate shape derivatives by direct finite differencing. More...

void	evaluate_shape_derivs_by_chain_rule ()
	Evaluate shape derivatives by chain rule. More...

void	fill_in_shape_derivatives (DenseMatrix< double > &jacobian)

void	fill_in_shape_derivatives_by_fd (DenseMatrix< double > &jacobian)

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

void	output (std::ostream &outfile)
	Overload the output function: Call that of the basic element. More...

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

void	output (FILE *file_pt)
	Overload the output function: Call that of the basic element. More...

void	output (FILE *file_pt, const unsigned &n_p)
	Output function is just the same as the basic equations. More...

unsigned	num_Z2_flux_terms ()

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

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

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...

unsigned	nrecovery_order ()

unsigned	ndof_types () const

unsigned	nbasic_dof_types () const

unsigned	nsolid_dof_types () const

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

Public Member Functions inherited from oomph::GeneralisedNewtonianTTaylorHoodElement< DIM >
	GeneralisedNewtonianTTaylorHoodElement ()
	Constructor, no internal data points. More...

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

void	pshape_nst (const Vector< double > &s, Shape &psi) const
	Test whether the pressure dof p_dof hanging or not? More...

void	pshape_nst (const Vector< double > &s, Shape &psi, Shape &test) const
	Pressure shape and test functions at local coordinte s. More...

unsigned	p_index_nst ()
	Which nodal value represents the pressure? More...

int	p_local_eqn (const unsigned &n) const
	Pointer to n_p-th pressure node. More...

double	p_nst (const unsigned &n_p) const

double	p_nst (const unsigned &t, const unsigned &n_p) const

int	p_nodal_index_nst () const
	Set the value at which the pressure is stored in the nodes. More...

unsigned	npres_nst () const
	Return number of pressure values. More...

void	fix_pressure (const unsigned &p_dof, const double &p_value)
	Pin p_dof-th pressure dof and set it to value specified by p_value. More...

void	identify_load_data (std::set< std::pair< Data *, unsigned >> &paired_load_data)

void	identify_pressure_data (std::set< std::pair< Data *, unsigned >> &paired_pressure_data)

unsigned	npres_nst () const

unsigned	npres_nst () const

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

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

Public Member Functions inherited from oomph::TElement< DIM, 3 >
const unsigned	Node_on_face [3][2]
	Assign the nodal translation schemes. More...

const unsigned	Node_on_face [3][3]

const unsigned	Node_on_face [3][4]

const unsigned	Node_on_face [4][3]
	Assign the nodal translation scheme for linear elements. More...

const unsigned	Node_on_face [4][6]
	Assign the nodal translation scheme for quadratic elements. More...

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

const double &	re () const
	Reynolds number. More...

const double &	re_st () const
	Product of Reynolds and Strouhal number (=Womersley number) More...

double *&	re_pt ()
	Pointer to Reynolds number. More...

double *&	re_st_pt ()
	Pointer to product of Reynolds and Strouhal number (=Womersley number) More...

const double &	viscosity_ratio () const

double *&	viscosity_ratio_pt ()
	Pointer to Viscosity Ratio. More...

const double &	density_ratio () const

double *&	density_ratio_pt ()
	Pointer to Density ratio. More...

const double &	re_invfr () const
	Global inverse Froude number. More...

double *&	re_invfr_pt ()
	Pointer to global inverse Froude number. More...

const Vector< double > &	g () const
	Vector of gravitational components. More...

Vector< double > *&	g_pt ()
	Pointer to Vector of gravitational components. More...

NavierStokesBodyForceFctPt &	body_force_fct_pt ()
	Access function for the body-force pointer. More...

NavierStokesBodyForceFctPt	body_force_fct_pt () const
	Access function for the body-force pointer. Const version. More...

NavierStokesSourceFctPt &	source_fct_pt ()
	Access function for the source-function pointer. More...

NavierStokesSourceFctPt	source_fct_pt () const
	Access function for the source-function pointer. Const version. More...

GeneralisedNewtonianConstitutiveEquation< DIM > *&	constitutive_eqn_pt ()
	Access function for the constitutive equation pointer. More...

void	use_current_strainrate_to_compute_second_invariant ()
	Switch to fully implict evaluation of non-Newtonian const eqn. More...

void	use_extrapolated_strainrate_to_compute_second_invariant ()
	Use extrapolation for non-Newtonian const eqn. More...

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

double	u_nst (const unsigned &t, const unsigned &n, const unsigned &i) const

virtual unsigned	u_index_nst (const unsigned &i) const

unsigned	n_u_nst () const

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

void	disable_ALE ()

void	enable_ALE ()

double	pressure_integral () const
	Integral of pressure over element. More...

void	max_and_min_invariant_and_viscosity (double &min_invariant, double &max_invariant, double &min_viscosity, double &max_viscosity) const

double	dissipation () const
	Return integral of dissipation over element. More...

double	dissipation (const Vector< double > &s) const
	Return dissipation at local coordinate s. More...

void	get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const
	Compute the vorticity vector at local coordinate s. More...

double	kin_energy () const
	Get integral of kinetic energy over element. More...

double	d_kin_energy_dt () const
	Get integral of time derivative of kinetic energy over element. More...

void	strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const
	Strain-rate tensor: 1/2 (du_i/dx_j + du_j/dx_i) More...

void	strain_rate (const unsigned &t, const Vector< double > &s, DenseMatrix< double > &strain_rate) const

virtual void	extrapolated_strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const

virtual void	extrapolated_strain_rate (const unsigned &ipt, DenseMatrix< double > &strain_rate) const

void	get_traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction)

void	get_traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction_p, Vector< double > &traction_visc_n, Vector< double > &traction_visc_t)

void	get_load (const Vector< double > &s, const Vector< double > &N, Vector< double > &load)

void	get_pressure_and_velocity_mass_matrix_diagonal (Vector< double > &press_mass_diag, Vector< double > &veloc_mass_diag, const unsigned &which_one=0)

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	full_output (std::ostream &outfile)

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

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

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

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

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

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

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

void	fill_in_contribution_to_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)
	Compute the element's residual Vector. More...

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

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)

void	pin_all_non_pressure_dofs (std::map< Data *, std::vector< int >> &eqn_number_backup)
	Pin all non-pressure dofs and backup eqn numbers. More...

virtual void	get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)

void	interpolated_u_nst (const Vector< double > &s, Vector< double > &veloc) const
	Compute vector of FE interpolated velocity u at local coordinate s. More...

double	interpolated_u_nst (const Vector< double > &s, const unsigned &i) const
	Return FE interpolated velocity u[i] at local coordinate s. More...

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

virtual void	dinterpolated_u_nst_ddata (const Vector< double > &s, const unsigned &i, Vector< double > &du_ddata, Vector< unsigned > &global_eqn_number)

virtual double	interpolated_p_nst (const Vector< double > &s) const
	Return FE interpolated pressure at local coordinate s. More...

double	interpolated_p_nst (const unsigned &t, const Vector< double > &s) const
	Return FE interpolated pressure at local coordinate s at time level t. More...

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

void	get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const

void	get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const
	Compute 3D vorticity vector at local coordinate s. More...

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

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

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

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

virtual	~GeneralisedNewtonianTemplateFreeNavierStokesEquationsBase ()
	Virtual destructor (empty) More...

Public Member Functions inherited from oomph::QTaylorHoodElement< DIM >
	QTaylorHoodElement ()
	Constructor, no internal data points. More...

virtual unsigned	required_nvalue (const unsigned &n) const

void	pshape_nst (const Vector< double > &s, Shape &psi) const
	Pressure shape functions at local coordinate s. More...

void	pshape_nst (const Vector< double > &s, Shape &psi, Shape &test) const
	Pressure shape and test functions at local coordinte s. More...

virtual int	p_nodal_index_nst () const
	Set the value at which the pressure is stored in the nodes. More...

int	p_local_eqn (const unsigned &n) const
	Return the local equation numbers for the pressure values. More...

double	p_nst (const unsigned &n_p) const

double	p_nst (const unsigned &t, const unsigned &n_p) const

double	dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const

unsigned	npres_nst () const
	Return number of pressure values. More...

bool	is_pressure_node (const unsigned &n) const
	Deduce whether or not the provided node is a pressure node. More...

void	fix_pressure (const unsigned &p_dof, const double &p_value)
	Pin p_dof-th pressure dof and set it to value specified by p_value. More...

void	build_fp_press_adv_diff_robin_bc_element (const unsigned &face_index)

void	identify_load_data (std::set< std::pair< Data *, unsigned >> &paired_load_data)

void	identify_pressure_data (std::set< std::pair< Data *, unsigned >> &paired_pressure_data)

void	output (std::ostream &outfile)
	Redirect output to NavierStokesEquations output. More...

void	output (std::ostream &outfile, const unsigned &nplot)
	Redirect output to NavierStokesEquations output. More...

void	output (FILE *file_pt)
	Redirect output to NavierStokesEquations output. More...

void	output (FILE *file_pt, const unsigned &nplot)
	Redirect output to NavierStokesEquations output. More...

unsigned	ndof_types () const

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

double	dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const

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

double	dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const

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

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

const double &	re () const
	Reynolds number. More...

const double &	re_st () const
	Product of Reynolds and Strouhal number (=Womersley number) More...

double *&	re_pt ()
	Pointer to Reynolds number. More...

double *&	re_st_pt ()
	Pointer to product of Reynolds and Strouhal number (=Womersley number) More...

const double &	viscosity_ratio () const

double *&	viscosity_ratio_pt ()
	Pointer to Viscosity Ratio. More...

const double &	density_ratio () const

double *&	density_ratio_pt ()
	Pointer to Density ratio. More...

const double &	re_invfr () const
	Global inverse Froude number. More...

double *&	re_invfr_pt ()
	Pointer to global inverse Froude number. More...

const Vector< double > &	g () const
	Vector of gravitational components. More...

Vector< double > *&	g_pt ()
	Pointer to Vector of gravitational components. More...

NavierStokesBodyForceFctPt &	body_force_fct_pt ()
	Access function for the body-force pointer. More...

NavierStokesBodyForceFctPt	body_force_fct_pt () const
	Access function for the body-force pointer. Const version. More...

NavierStokesSourceFctPt &	source_fct_pt ()
	Access function for the source-function pointer. More...

NavierStokesSourceFctPt	source_fct_pt () const
	Access function for the source-function pointer. Const version. More...

NavierStokesPressureAdvDiffSourceFctPt &	source_fct_for_pressure_adv_diff ()

NavierStokesPressureAdvDiffSourceFctPt	source_fct_for_pressure_adv_diff () const

int &	pinned_fp_pressure_eqn ()

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

double	u_nst (const unsigned &t, const unsigned &n, const unsigned &i) const

virtual unsigned	u_index_nst (const unsigned &i) const

unsigned	n_u_nst () const

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

void	disable_ALE ()

void	enable_ALE ()

double	pressure_integral () const
	Integral of pressure over element. More...

double	dissipation () const
	Return integral of dissipation over element. More...

double	dissipation (const Vector< double > &s) const
	Return dissipation at local coordinate s. More...

void	get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const
	Compute the vorticity vector at local coordinate s. More...

void	get_vorticity (const Vector< double > &s, double &vorticity) const
	Compute the scalar vorticity at local coordinate s (2D) More...

double	kin_energy () const
	Get integral of kinetic energy over element. More...

double	d_kin_energy_dt () const
	Get integral of time derivative of kinetic energy over element. More...

void	strain_rate (const Vector< double > &s, DenseMatrix< double > &strain_rate) const
	Strain-rate tensor: 1/2 (du_i/dx_j + du_j/dx_i) More...

void	get_traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction)

void	get_traction (const Vector< double > &s, const Vector< double > &N, Vector< double > &traction_p, Vector< double > &traction_visc_n, Vector< double > &traction_visc_t)

void	get_load (const Vector< double > &s, const Vector< double > &N, Vector< double > &load)

void	get_pressure_and_velocity_mass_matrix_diagonal (Vector< double > &press_mass_diag, Vector< double > &veloc_mass_diag, const unsigned &which_one=0)

unsigned	nscalar_paraview () const

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

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

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

void	full_output (std::ostream &outfile)

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

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

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

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

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

void	compute_norm (Vector< double > &norm)
	Compute the vector norm of the FEM solution. More...

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

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

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

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

void	fill_in_contribution_to_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)
	Compute the element's residual Vector. More...

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

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)

void	fill_in_pressure_advection_diffusion_residuals (Vector< double > &residuals)

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

void	pin_all_non_pressure_dofs (std::map< Data *, std::vector< int >> &eqn_number_backup)
	Pin all non-pressure dofs and backup eqn numbers. More...

void	output_pressure_advection_diffusion_robin_elements (std::ostream &outfile)

void	delete_pressure_advection_diffusion_robin_elements ()

virtual void	get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)

void	interpolated_u_nst (const Vector< double > &s, Vector< double > &veloc) const
	Compute vector of FE interpolated velocity u at local coordinate s. More...

double	interpolated_u_nst (const Vector< double > &s, const unsigned &i) const
	Return FE interpolated velocity u[i] at local coordinate s. More...

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

virtual void	dinterpolated_u_nst_ddata (const Vector< double > &s, const unsigned &i, Vector< double > &du_ddata, Vector< unsigned > &global_eqn_number)

virtual double	interpolated_p_nst (const Vector< double > &s) const
	Return FE interpolated pressure at local coordinate s. More...

double	interpolated_p_nst (const unsigned &t, const Vector< double > &s) const
	Return FE interpolated pressure at local coordinate s at time level t. More...

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

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

void	get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const

void	get_vorticity (const Vector< double > &s, double &vorticity) const

void	get_vorticity (const Vector< double > &s, Vector< double > &vorticity) const
	Compute 3D vorticity vector at local coordinate s. More...

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

virtual	~TemplateFreeNavierStokesEquationsBase ()
	Virtual destructor (empty) More...

Public Member Functions inherited from oomph::PseudoSolidNodeUpdateElement< TTaylorHoodElement< 2 >, TPVDElement< 2, 3 > >
	PseudoSolidNodeUpdateElement ()

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

void	compute_norm (double &el_norm)

unsigned	required_nvalue (const unsigned &n) const
	The required number of values is the sum of the two. More...

int	solid_p_nodal_index () const

void	fill_in_contribution_to_residuals (Vector< double > &residuals)

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	evaluate_shape_derivs_by_direct_fd ()
	Evaluate shape derivatives by direct finite differencing. More...

void	evaluate_shape_derivs_by_chain_rule ()
	Evaluate shape derivatives by chain rule. More...

void	fill_in_shape_derivatives (DenseMatrix< double > &jacobian)

void	fill_in_shape_derivatives_by_fd (DenseMatrix< double > &jacobian)

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

void	output (std::ostream &outfile)
	Overload the output function: Call that of the basic element. More...

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

void	output (FILE *file_pt)
	Overload the output function: Call that of the basic element. More...

void	output (FILE *file_pt, const unsigned &n_p)
	Output function is just the same as the basic equations. More...

unsigned	num_Z2_flux_terms ()

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

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

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...

unsigned	nrecovery_order ()

unsigned	ndof_types () const

unsigned	nbasic_dof_types () const

unsigned	nsolid_dof_types () const

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

Public Member Functions inherited from oomph::TTaylorHoodElement< DIM >
	TTaylorHoodElement ()
	Constructor, no internal data points. More...

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

void	pshape_nst (const Vector< double > &s, Shape &psi) const
	Test whether the pressure dof p_dof hanging or not? More...

void	pshape_nst (const Vector< double > &s, Shape &psi, Shape &test) const
	Pressure shape and test functions at local coordinte s. More...

unsigned	p_index_nst ()
	Which nodal value represents the pressure? More...

int	p_local_eqn (const unsigned &n) const
	Pointer to n_p-th pressure node. More...

double	p_nst (const unsigned &n_p) const

double	p_nst (const unsigned &t, const unsigned &n_p) const

int	p_nodal_index_nst () const
	Set the value at which the pressure is stored in the nodes. More...

unsigned	npres_nst () const
	Return number of pressure values. More...

void	fix_pressure (const unsigned &p_dof, const double &p_value)
	Pin p_dof-th pressure dof and set it to value specified by p_value. More...

void	build_fp_press_adv_diff_robin_bc_element (const unsigned &face_index)

void	identify_load_data (std::set< std::pair< Data *, unsigned >> &paired_load_data)

void	identify_pressure_data (std::set< std::pair< Data *, unsigned >> &paired_pressure_data)

unsigned	npres_nst () const

unsigned	npres_nst () const

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

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

Private Member Functions
unsigned	ndof_types () const

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

Private Attributes
double	Error
	Storage for elemental error estimate – used for post-processing. 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::PVDEquationsBase< DIM >
typedef void(*	IsotropicGrowthFctPt) (const Vector< double > &xi, double &gamma)

typedef double(*	PrestressFctPt) (const unsigned &i, const unsigned &j, const Vector< double > &xi)

typedef void(*	BodyForceFctPt) (const double &t, const Vector< double > &xi, Vector< double > &b)

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

Public Types inherited from oomph::GeneralisedNewtonianNavierStokesEquations< DIM >
typedef void(*	NavierStokesBodyForceFctPt) (const double &time, const Vector< double > &x, Vector< double > &body_force)

typedef double(*	NavierStokesSourceFctPt) (const double &time, const Vector< double > &x)

typedef double(*	NavierStokesPressureAdvDiffSourceFctPt) (const Vector< double > &x)

Public Types inherited from oomph::NavierStokesEquations< DIM >
typedef void(*	NavierStokesBodyForceFctPt) (const double &time, const Vector< double > &x, Vector< double > &body_force)

typedef double(*	NavierStokesSourceFctPt) (const double &time, const Vector< double > &x)

typedef double(*	NavierStokesPressureAdvDiffSourceFctPt) (const Vector< double > &x)

Static Public Member Functions inherited from oomph::PVDEquationsBase< DIM >
static void	pin_redundant_nodal_solid_pressures (const Vector< GeneralisedElement * > &element_pt)

static void	unpin_all_solid_pressure_dofs (const Vector< GeneralisedElement * > &element_pt)
	Unpin all pressure dofs in elements listed in vector. More...

Public Attributes inherited from oomph::AxisymmetricNavierStokesEquations
void(*&)(const double &time, const Vector< double > &x, Vector< double > &f)	axi_nst_body_force_fct_pt ()
	Access function for the body-force pointer. More...

double(*&)(const double &time, const Vector< double > &x)	source_fct_pt ()
	Access function for the source-function pointer. More...

Public Attributes inherited from oomph::GeneralisedNewtonianAxisymmetricNavierStokesEquations
void(*&)(const double &time, const Vector< double > &x, Vector< double > &f)	axi_nst_body_force_fct_pt ()
	Access function for the body-force pointer. More...

double(*&)(const double &time, const Vector< double > &x)	source_fct_pt ()
	Access function for the source-function pointer. More...

Static Public Attributes inherited from oomph::AxisymmetricNavierStokesEquations
static Vector< double >	Gamma
	Vector to decide whether the stress-divergence form is used or not. 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

Static Public Attributes inherited from oomph::GeneralisedNewtonianAxisymmetricNavierStokesEquations
static Vector< double >	Gamma
	Vector to decide whether the stress-divergence form is used or not. More...

Static Public Attributes inherited from oomph::GeneralisedNewtonianNavierStokesEquations< DIM >
static Vector< double >	Gamma
	Vector to decide whether the stress-divergence form is used or not. More...

Static Public Attributes inherited from oomph::NavierStokesEquations< DIM >
static Vector< double >	Gamma
	Vector to decide whether the stress-divergence form is used or not. More...

Static Public Attributes inherited from oomph::TTaylorHoodElement< DIM >
static const unsigned	TEMPLATE_PARAMETER_DIM = DIM
	Publicly exposed template parameter. More...

static const unsigned	TEMPLATE_PARAMETER_NNODE_1D = 3
	Publicly exposed template parameter. More...

Protected Member Functions inherited from oomph::AxisymmetricTTaylorHoodElement
double	dshape_and_dtest_eulerian_axi_nst (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const

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

double	dshape_and_dtest_eulerian_at_knot_axi_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const

virtual double	dpshape_and_dptest_eulerian_axi_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const

void	unpin_all_nodal_pressure_dofs ()
	Unpin all pressure dofs. More...

void	pin_all_nodal_pressure_dofs ()
	Pin all nodal pressure dofs. More...

void	unpin_proper_nodal_pressure_dofs ()
	Unpin the proper nodal pressure dofs. More...

Protected Member Functions inherited from oomph::AxisymmetricNavierStokesEquations
virtual void	get_body_force_axi_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, Vector< double > &result)
	Calculate the body force fct at a given time and Eulerian position. More...

virtual void	get_body_force_gradient_axi_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, DenseMatrix< double > &d_body_force_dx)

double	get_source_fct (const double &time, const unsigned &ipt, const Vector< double > &x)
	Calculate the source fct at given time and Eulerian position. More...

virtual void	get_source_fct_gradient (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &gradient)

virtual void	get_viscosity_ratio_axisym_nst (const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, double &visc_ratio)

virtual void	fill_in_generic_residual_contribution_axi_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, unsigned flag)

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

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

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

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

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

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

virtual double	invert_jacobian_mapping (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

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

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

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

virtual void	dJ_eulerian_dnodal_coordinates (const DenseMatrix< double > &jacobian, const DShape &dpsids, DenseMatrix< double > &djacobian_dX) const

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

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

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

virtual void	transform_derivatives (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const

void	transform_derivatives_diagonal (const DenseMatrix< double > &inverse_jacobian, DShape &dbasis) const

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

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

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

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

void	fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_nodal_fd ()

virtual void	reset_after_nodal_fd ()

virtual void	update_in_nodal_fd (const unsigned &i)

virtual void	reset_in_nodal_fd (const unsigned &i)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

bool	internal_data_fd (const unsigned &i) const

void	exclude_internal_data_fd (const unsigned &i)

void	include_internal_data_fd (const unsigned &i)

void	clear_global_eqn_numbers ()

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

virtual void	assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	assign_additional_local_eqn_numbers ()

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

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

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

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

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

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

virtual void	update_before_internal_fd ()

virtual void	reset_after_internal_fd ()

virtual void	update_in_internal_fd (const unsigned &i)

virtual void	reset_in_internal_fd (const unsigned &i)

virtual void	update_before_external_fd ()

virtual void	reset_after_external_fd ()

virtual void	update_in_external_fd (const unsigned &i)

virtual void	reset_in_external_fd (const unsigned &i)

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

virtual void	fill_in_contribution_to_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::PVDEquations< DIM >
virtual void	fill_in_generic_contribution_to_residuals_pvd (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)

void	get_stress (const DenseMatrix< double > &g, const DenseMatrix< double > &G, DenseMatrix< double > &sigma)

void	get_d_stress_dG_upper (const DenseMatrix< double > &g, const DenseMatrix< double > &G, const DenseMatrix< double > &sigma, RankFourTensor< double > &d_sigma_dG)

Protected Member Functions inherited from oomph::SolidFiniteElement
void	fill_in_generic_jacobian_for_solid_ic (Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)

void	set_nnodal_lagrangian_type (const unsigned &nlagrangian_type)

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

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

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

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

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

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

void	fill_in_jacobian_from_solid_position_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_solid_position_fd ()

virtual void	reset_after_solid_position_fd ()

virtual void	update_in_solid_position_fd (const unsigned &i)

virtual void	reset_in_solid_position_fd (const unsigned &i)

Protected Member Functions inherited from oomph::GeneralisedNewtonianAxisymmetricTTaylorHoodElement
double	dshape_and_dtest_eulerian_axi_nst (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const

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

double	dshape_and_dtest_eulerian_at_knot_axi_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const

virtual double	dpshape_and_dptest_eulerian_axi_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const

void	unpin_all_nodal_pressure_dofs ()
	Unpin all pressure dofs. More...

void	pin_all_nodal_pressure_dofs ()
	Pin all nodal pressure dofs. More...

void	unpin_proper_nodal_pressure_dofs ()
	Unpin the proper nodal pressure dofs. More...

Protected Member Functions inherited from oomph::GeneralisedNewtonianAxisymmetricNavierStokesEquations
virtual void	get_body_force_axi_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, Vector< double > &result)
	Calculate the body force fct at a given time and Eulerian position. More...

virtual void	get_body_force_gradient_axi_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, DenseMatrix< double > &d_body_force_dx)

double	get_source_fct (const double &time, const unsigned &ipt, const Vector< double > &x)
	Calculate the source fct at given time and Eulerian position. More...

virtual void	get_source_fct_gradient (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &gradient)

virtual void	get_viscosity_ratio_axisym_nst (const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, double &visc_ratio)

virtual void	fill_in_generic_residual_contribution_axi_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, unsigned flag)

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

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

Protected Member Functions inherited from oomph::GeneralisedNewtonianTTaylorHoodElement< DIM >
double	dshape_and_dtest_eulerian_nst (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const

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

double	dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const

virtual double	dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const

void	unpin_all_nodal_pressure_dofs ()
	Unpin all pressure dofs. More...

void	pin_all_nodal_pressure_dofs ()
	Pin all nodal pressure dofs. More...

void	unpin_proper_nodal_pressure_dofs ()
	Unpin the proper nodal pressure dofs. More...

const unsigned	Pconv [3]

const unsigned	Pconv [4]

double	dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const

double	dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const

double	dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const

double	dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const

Protected Member Functions inherited from oomph::GeneralisedNewtonianNavierStokesEquations< DIM >
virtual void	get_body_force_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, Vector< double > &result)

virtual void	get_body_force_gradient_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, DenseMatrix< double > &d_body_force_dx)

virtual double	get_source_nst (const double &time, const unsigned &ipt, const Vector< double > &x)

virtual void	get_source_gradient_nst (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &gradient)

virtual void	fill_in_generic_residual_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, unsigned flag)

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

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

Protected Member Functions inherited from oomph::QTaylorHoodElement< DIM >
double	dshape_and_dtest_eulerian_nst (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const

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

double	dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const

const unsigned	Pconv [4]

const unsigned	Pconv [8]

double	dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const

double	dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const

Protected Member Functions inherited from oomph::NavierStokesEquations< DIM >
virtual void	get_body_force_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, Vector< double > &result)

virtual void	get_body_force_gradient_nst (const double &time, const unsigned &ipt, const Vector< double > &s, const Vector< double > &x, DenseMatrix< double > &d_body_force_dx)

virtual double	get_source_nst (const double &time, const unsigned &ipt, const Vector< double > &x)

virtual void	get_source_gradient_nst (const double &time, const unsigned &ipt, const Vector< double > &x, Vector< double > &gradient)

virtual void	fill_in_generic_residual_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, unsigned flag)

virtual void	fill_in_generic_pressure_advection_diffusion_contribution_nst (Vector< double > &residuals, DenseMatrix< double > &jacobian, unsigned flag)

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

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

Protected Member Functions inherited from oomph::TTaylorHoodElement< DIM >
double	dshape_and_dtest_eulerian_nst (const Vector< double > &s, Shape &psi, DShape &dpsidx, Shape &test, DShape &dtestdx) const

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

double	dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const

virtual double	dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const

void	unpin_all_nodal_pressure_dofs ()
	Unpin all pressure dofs. More...

void	pin_all_nodal_pressure_dofs ()
	Pin all nodal pressure dofs. More...

void	unpin_proper_nodal_pressure_dofs ()
	Unpin the proper nodal pressure dofs. More...

const unsigned	Pconv [3]

const unsigned	Pconv [4]

double	dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const

double	dpshape_and_dptest_eulerian_nst (const Vector< double > &s, Shape &ppsi, DShape &dppsidx, Shape &ptest, DShape &dptestdx) const

double	dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const

double	dshape_and_dtest_eulerian_at_knot_nst (const unsigned &ipt, Shape &psi, DShape &dpsidx, RankFourTensor< double > &d_dpsidx_dX, Shape &test, DShape &dtestdx, RankFourTensor< double > &d_dtestdx_dX, DenseMatrix< double > &djacobian_dX) const

Protected Attributes inherited from oomph::AxisymmetricNavierStokesEquations
double *	Viscosity_Ratio_pt

double *	Density_Ratio_pt

double *	Re_pt
	Pointer to global Reynolds number. More...

double *	ReSt_pt
	Pointer to global Reynolds number x Strouhal number (=Womersley) More...

double *	ReInvFr_pt

double *	ReInvRo_pt

Vector< double > *	G_pt
	Pointer to global gravity Vector. More...

void(*	Body_force_fct_pt )(const double &time, const Vector< double > &x, Vector< double > &result)
	Pointer to body force function. More...

double(*	Source_fct_pt )(const double &time, const Vector< double > &x)
	Pointer to volumetric source 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::PVDEquationsBase< DIM >
IsotropicGrowthFctPt	Isotropic_growth_fct_pt
	Pointer to isotropic growth function. More...

PrestressFctPt	Prestress_fct_pt
	Pointer to prestress function. More...

ConstitutiveLaw *	Constitutive_law_pt
	Pointer to the constitutive law. More...

double *	Lambda_sq_pt
	Timescale ratio (non-dim. density) More...

bool	Unsteady
	Flag that switches inertia on/off. More...

BodyForceFctPt	Body_force_fct_pt
	Pointer to body force function. More...

bool	Evaluate_jacobian_by_fd
	Use FD to evaluate Jacobian. More...

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

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

bool	Solve_for_consistent_newmark_accel_flag

Protected Attributes inherited from oomph::GeneralisedNewtonianAxisymmetricNavierStokesEquations
double *	Viscosity_Ratio_pt

double *	Density_Ratio_pt

double *	Re_pt
	Pointer to global Reynolds number. More...

double *	ReSt_pt
	Pointer to global Reynolds number x Strouhal number (=Womersley) More...

double *	ReInvFr_pt

double *	ReInvRo_pt

Vector< double > *	G_pt
	Pointer to global gravity Vector. More...

void(*	Body_force_fct_pt )(const double &time, const Vector< double > &x, Vector< double > &result)
	Pointer to body force function. More...

double(*	Source_fct_pt )(const double &time, const Vector< double > &x)
	Pointer to volumetric source function. More...

GeneralisedNewtonianConstitutiveEquation< 3 > *	Constitutive_eqn_pt
	Pointer to the generalised Newtonian constitutive equation. More...

bool	Use_extrapolated_strainrate_to_compute_second_invariant

bool	ALE_is_disabled

Protected Attributes inherited from oomph::GeneralisedNewtonianNavierStokesEquations< DIM >
double *	Viscosity_Ratio_pt

double *	Density_Ratio_pt

double *	Re_pt
	Pointer to global Reynolds number. More...

double *	ReSt_pt
	Pointer to global Reynolds number x Strouhal number (=Womersley) More...

double *	ReInvFr_pt

Vector< double > *	G_pt
	Pointer to global gravity Vector. More...

NavierStokesBodyForceFctPt	Body_force_fct_pt
	Pointer to body force function. More...

NavierStokesSourceFctPt	Source_fct_pt
	Pointer to volumetric source function. More...

GeneralisedNewtonianConstitutiveEquation< DIM > *	Constitutive_eqn_pt
	Pointer to the generalised Newtonian constitutive equation. More...

bool	Use_extrapolated_strainrate_to_compute_second_invariant

bool	ALE_is_disabled

Protected Attributes inherited from oomph::NavierStokesEquations< DIM >
double *	Viscosity_Ratio_pt

double *	Density_Ratio_pt

double *	Re_pt
	Pointer to global Reynolds number. More...

double *	ReSt_pt
	Pointer to global Reynolds number x Strouhal number (=Womersley) More...

double *	ReInvFr_pt

Vector< double > *	G_pt
	Pointer to global gravity Vector. More...

NavierStokesBodyForceFctPt	Body_force_fct_pt
	Pointer to body force function. More...

NavierStokesSourceFctPt	Source_fct_pt
	Pointer to volumetric source function. More...

NavierStokesPressureAdvDiffSourceFctPt	Press_adv_diff_source_fct_pt

bool	ALE_is_disabled

Vector< FpPressureAdvDiffRobinBCElementBase * >	Pressure_advection_diffusion_robin_element_pt

int	Pinned_fp_pressure_eqn

Static Protected Attributes inherited from oomph::AxisymmetricTTaylorHoodElement
static const unsigned	Pconv [] = {0, 1, 2}

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::PVDEquationsBase< DIM >
static double	Default_lambda_sq_value = 1.0
	Static default value for timescale ratio (1.0 – for natural scaling) More...

Static Protected Attributes inherited from oomph::GeneralisedNewtonianAxisymmetricTTaylorHoodElement
static const unsigned	Pconv []

Static Protected Attributes inherited from oomph::GeneralisedNewtonianAxisymmetricNavierStokesEquations
static bool	Pre_multiply_by_viscosity_ratio

Static Protected Attributes inherited from oomph::GeneralisedNewtonianTTaylorHoodElement< DIM >
static const unsigned	Pconv []

Static Protected Attributes inherited from oomph::GeneralisedNewtonianNavierStokesEquations< DIM >
static bool	Pre_multiply_by_viscosity_ratio = false

Static Protected Attributes inherited from oomph::QTaylorHoodElement< DIM >
static const unsigned	Pconv []

Static Protected Attributes inherited from oomph::TTaylorHoodElement< DIM >
static const unsigned	Pconv []

Detailed Description

template<unsigned DIM>
class oomph::MyTaylorHoodElement< DIM >

Overload TaylorHood element to modify output.

Overload Navier-Stokes Taylor Hood element to make block preconditionable (again – simply overwrites code that already exists in library to make it more visible for documentation)

Constructor & Destructor Documentation

◆ MyTaylorHoodElement() [1/4]

template<unsigned DIM>

oomph::MyTaylorHoodElement< DIM >::MyTaylorHoodElement ( )

inline

Constructor initialise error.

102 {}

◆ MyTaylorHoodElement() [2/4]

template<unsigned DIM>

oomph::MyTaylorHoodElement< DIM >::MyTaylorHoodElement ( )

inline

Constructor initialise error.

    {
     Error=0.0;
    }

References oomph::MyTaylorHoodElement< DIM >::Error.

◆ MyTaylorHoodElement() [3/4]

template<unsigned DIM>

oomph::MyTaylorHoodElement< DIM >::MyTaylorHoodElement ( )

inline

Constructor initialise error.

    {
     Error=0.0;
    }

References Error.

◆ MyTaylorHoodElement() [4/4]

template<unsigned DIM>

oomph::MyTaylorHoodElement< DIM >::MyTaylorHoodElement ( )

inline

Constructor initialise error.

    {
     Error=0.0;
    }

References Error.

Member Function Documentation

◆ get_dof_numbers_for_unknowns()

template<unsigned DIM>

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

inlineprivate

Create a list of pairs for all unknowns in this element, so the first entry in each pair contains the global equation number of the unknown, while the second one contains the number of the "DOF type" that this unknown is associated with. (Function can obviously only be called if the equation numbering scheme has been set up.)

   {
    // 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 j=0;j<n_node;j++)
     {
      // Number of values
      unsigned nvalue=this->node_pt(j)->nvalue();
  
      //loop over these values
      for (unsigned i=0;i<nvalue;i++)
       {
        // determine local eqn number
        int local_eqn_number = this->nodal_local_eqn(j,i);
        
        // 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 = i;
          
          // add to list
          dof_lookup_list.push_front(dof_lookup);
         }
       }
     }
   }

References i, and j.

◆ ndof_types()

template<unsigned DIM>

unsigned oomph::MyTaylorHoodElement< DIM >::ndof_types ( ) const

inlineprivatevirtual

The number of "DOF types" that degrees of freedom in this element are sub-divided into: Velocity and pressure.

Reimplemented from oomph::GeneralisedElement.

   {
    return DIM+1;
   }

References DIM.

◆ output() [1/4]

template<unsigned DIM>

void oomph::MyTaylorHoodElement< DIM >::output	(	std::ostream &	outfile,
		const unsigned &	nplot
	)

inlinevirtual

Overload output function.

Reimplemented from oomph::FiniteElement.

    {
     
     // Assign dimension 
     unsigned el_dim=2;
     
     // Vector of local coordinates
     Vector<double> s(el_dim);
    
     // Tecplot header info
     outfile << tecplot_zone_string(nplot);
    
     // Find out how many nodes there are
     unsigned n_node = nnode();
    
     //Set up memory for the shape functions
     Shape psif(n_node);
     DShape dpsifdx(n_node,el_dim);
    
     // Loop over plot points
     unsigned num_plot_points=nplot_points(nplot);
     for (unsigned iplot=0;iplot<num_plot_points;iplot++)
      {
      
       // Get local coordinates of plot point
       get_s_plot(iplot,nplot,s);
      
       // Coordinates
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << interpolated_x(s,i) << " ";
        }
  
       for(unsigned i=0;i<el_dim;i++)
        {
         outfile << interpolated_xi(s,i) << " ";
        }
      
       // Velocities
       for(unsigned i=0;i<3;i++) 
        {
         outfile << interpolated_u_axi_nst(s,i) << " ";
        }
      
       // Pressure
       outfile << interpolated_p_axi_nst(s)  << " ";
      
       // History values of coordinates
       unsigned n_prev=node_pt(0)->position_time_stepper_pt()->ntstorage();
       for (unsigned t=1;t<n_prev;t++)
        {
         for(unsigned i=0;i<el_dim;i++) 
          {
           outfile << interpolated_x(t,s,i) << " ";
          }
        }
      
       // History values of velocities
       n_prev=node_pt(0)->time_stepper_pt()->ntstorage();
       for (unsigned t=1;t<n_prev;t++)
        {
         for(unsigned i=0;i<3;i++) 
          {
           outfile << interpolated_u_axi_nst(t,s,i) << " ";
          }
        }
  
      }
     
     // Write tecplot footer (e.g. FE connectivity lists)
     write_tecplot_zone_footer(outfile,nplot); 
     }

References el_dim, i, s, and plotPSD::t.

◆ output() [2/4]

template<unsigned DIM>

void oomph::MyTaylorHoodElement< DIM >::output	(	std::ostream &	outfile,
		const unsigned &	nplot
	)

inlinevirtual

Overload output function.

Reimplemented from oomph::FiniteElement.

    {
     
     // Assign dimension 
     unsigned el_dim=2;
     
     // Vector of local coordinates
     Vector<double> s(el_dim);
     
     // Acceleration
     Vector<double> dudt(el_dim);
     
     // Mesh elocity
     Vector<double> mesh_veloc(el_dim,0.0);
    
     // Tecplot header info
     outfile << tecplot_zone_string(nplot);
    
     // Find out how many nodes there are
     unsigned n_node = nnode();
    
     //Set up memory for the shape functions
     Shape psif(n_node);
     DShape dpsifdx(n_node,el_dim);
    
     // Loop over plot points
     unsigned num_plot_points=nplot_points(nplot);
     for (unsigned iplot=0;iplot<num_plot_points;iplot++)
      {
      
       // Get local coordinates of plot point
       get_s_plot(iplot,nplot,s);
      
       //Call the derivatives of the shape and test functions
       dshape_eulerian(s,psif,dpsifdx);
      
       //Allocate storage
       Vector<double> mesh_veloc(el_dim);
       Vector<double> dudt(el_dim);
       Vector<double> dudt_ALE(el_dim);
       DenseMatrix<double> interpolated_dudx(el_dim,el_dim);
      
       //Initialise everything to zero
       for(unsigned i=0;i<el_dim;i++)
        {
         mesh_veloc[i]=0.0;
         dudt[i]=0.0;
         dudt_ALE[i]=0.0;
         for(unsigned j=0;j<el_dim;j++)
          {
           interpolated_dudx(i,j) = 0.0;
          }
        }
      
       //Calculate velocities and derivatives
  
       //Loop over directions
       for(unsigned i=0;i<el_dim;i++)
        {
         //Get the index at which velocity i is stored
         unsigned u_nodal_index = u_index_nst(i);
         // Loop over nodes
         for(unsigned l=0;l<n_node;l++) 
          {
           dudt[i]+=du_dt_nst(l,u_nodal_index)*psif[l];
           mesh_veloc[i]+=dnodal_position_dt(l,i)*psif[l];
           
           //Loop over derivative directions for velocity gradients
           for(unsigned j=0;j<el_dim;j++)
            {                               
             interpolated_dudx(i,j) += nodal_value(l,u_nodal_index)*
              dpsifdx(l,j);
            }
          }
        }
      
      
       // Get dudt in ALE form (incl mesh veloc)
       for(unsigned i=0;i<el_dim;i++)
        {
         dudt_ALE[i]=dudt[i];
         for (unsigned k=0;k<el_dim;k++)
          {
           dudt_ALE[i]-=mesh_veloc[k]*interpolated_dudx(i,k);
          }
        }
      
      
       // Coordinates
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << interpolated_x(s,i) << " ";
        }
      
       // Velocities
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << interpolated_u_nst(s,i) << " ";
        }
      
       // Pressure
       outfile << interpolated_p_nst(s)  << " ";
      
       // Accelerations
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << dudt_ALE[i] << " ";
        }
      
       // Mesh velocity
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << mesh_veloc[i] << " ";
        }
      
       // History values of coordinates
       unsigned n_prev=node_pt(0)->position_time_stepper_pt()->ntstorage();
       for (unsigned t=1;t<n_prev;t++)
        {
         for(unsigned i=0;i<el_dim;i++) 
          {
           outfile << interpolated_x(t,s,i) << " ";
          }
        }
      
       // History values of velocities
       n_prev=node_pt(0)->time_stepper_pt()->ntstorage();
       for (unsigned t=1;t<n_prev;t++)
        {
         for(unsigned i=0;i<el_dim;i++) 
          {
           outfile << interpolated_u_nst(t,s,i) << " ";
          }
        }
  
       outfile << Error << " " 
               << size() << std::endl;        
      }
     
     // Write tecplot footer (e.g. FE connectivity lists)
     write_tecplot_zone_footer(outfile,nplot); 
     }

◆ output() [3/4]

template<unsigned DIM>

void oomph::MyTaylorHoodElement< DIM >::output	(	std::ostream &	outfile,
		const unsigned &	nplot
	)

inlinevirtual

Overload output function.

Reimplemented from oomph::FiniteElement.

    {
     
     // Assign dimension 
     unsigned el_dim=2;
     
     // Vector of local coordinates
     Vector<double> s(el_dim);
     
     // Acceleration
     Vector<double> dudt(el_dim);
     
     // Mesh elocity
     Vector<double> mesh_veloc(el_dim,0.0);
    
     // Tecplot header info
     outfile << tecplot_zone_string(nplot);
    
     // Find out how many nodes there are
     unsigned n_node = nnode();
    
     //Set up memory for the shape functions
     Shape psif(n_node);
     DShape dpsifdx(n_node,el_dim);
    
     // Loop over plot points
     unsigned num_plot_points=nplot_points(nplot);
     for (unsigned iplot=0;iplot<num_plot_points;iplot++)
      {
      
       // Get local coordinates of plot point
       get_s_plot(iplot,nplot,s);
      
       //Call the derivatives of the shape and test functions
       dshape_eulerian(s,psif,dpsifdx);
      
       //Allocate storage
       Vector<double> mesh_veloc(el_dim);
       Vector<double> dudt(el_dim);
       Vector<double> dudt_ALE(el_dim);
       DenseMatrix<double> interpolated_dudx(el_dim,el_dim);
      
       //Initialise everything to zero
       for(unsigned i=0;i<el_dim;i++)
        {
         mesh_veloc[i]=0.0;
         dudt[i]=0.0;
         dudt_ALE[i]=0.0;
         for(unsigned j=0;j<el_dim;j++)
          {
           interpolated_dudx(i,j) = 0.0;
          }
        }
      
       //Calculate velocities and derivatives
  
       //Loop over directions
       for(unsigned i=0;i<el_dim;i++)
        {
         //Get the index at which velocity i is stored
         unsigned u_nodal_index = u_index_nst(i);
         // Loop over nodes
         for(unsigned l=0;l<n_node;l++) 
          {
           dudt[i]+=du_dt_nst(l,u_nodal_index)*psif[l];
           mesh_veloc[i]+=dnodal_position_dt(l,i)*psif[l];
           
           //Loop over derivative directions for velocity gradients
           for(unsigned j=0;j<el_dim;j++)
            {                               
             interpolated_dudx(i,j) += nodal_value(l,u_nodal_index)*
              dpsifdx(l,j);
            }
          }
        }
      
      
       // Get dudt in ALE form (incl mesh veloc)
       for(unsigned i=0;i<el_dim;i++)
        {
         dudt_ALE[i]=dudt[i];
         for (unsigned k=0;k<el_dim;k++)
          {
           dudt_ALE[i]-=mesh_veloc[k]*interpolated_dudx(i,k);
          }
        }
      
      
       // Coordinates
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << interpolated_x(s,i) << " ";
        }
      
       // Velocities
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << interpolated_u_nst(s,i) << " ";
        }
      
       // Pressure
       outfile << interpolated_p_nst(s)  << " ";
      
       // Accelerations
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << dudt_ALE[i] << " ";
        }
      
       // Mesh velocity
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << mesh_veloc[i] << " ";
        }
      
       // History values of coordinates
       unsigned n_prev=node_pt(0)->position_time_stepper_pt()->ntstorage();
       for (unsigned t=1;t<n_prev;t++)
        {
         for(unsigned i=0;i<el_dim;i++) 
          {
           outfile << interpolated_x(t,s,i) << " ";
          }
        }
      
       // History values of velocities
       n_prev=node_pt(0)->time_stepper_pt()->ntstorage();
       for (unsigned t=1;t<n_prev;t++)
        {
         for(unsigned i=0;i<el_dim;i++) 
          {
           outfile << interpolated_u_nst(t,s,i) << " ";
          }
        }
  
       outfile << Error << " " 
               << size() << std::endl;        
      }
     
     // Write tecplot footer (e.g. FE connectivity lists)
     write_tecplot_zone_footer(outfile,nplot); 
    }

References el_dim, Error, i, j, k, s, size, and plotPSD::t.

◆ output() [4/4]

template<unsigned DIM>

void oomph::MyTaylorHoodElement< DIM >::output	(	std::ostream &	outfile,
		const unsigned &	nplot
	)

inlinevirtual

Overload output function.

Reimplemented from oomph::FiniteElement.

    {
     
     // Assign dimension 
     unsigned el_dim=2;
     
     // Vector of local coordinates
     Vector<double> s(el_dim);
     
     // Acceleration
     Vector<double> dudt(el_dim);
     
     // Mesh elocity
     Vector<double> mesh_veloc(el_dim,0.0);
    
     // Tecplot header info
     outfile << tecplot_zone_string(nplot);
    
     // Find out how many nodes there are
     unsigned n_node = nnode();
    
     //Set up memory for the shape functions
     Shape psif(n_node);
     DShape dpsifdx(n_node,el_dim);
    
     // Loop over plot points
     unsigned num_plot_points=nplot_points(nplot);
     for (unsigned iplot=0;iplot<num_plot_points;iplot++)
      {
      
       // Get local coordinates of plot point
       get_s_plot(iplot,nplot,s);
      
       //Call the derivatives of the shape and test functions
       dshape_eulerian(s,psif,dpsifdx);
      
       //Allocate storage
       Vector<double> mesh_veloc(el_dim);
       Vector<double> dudt(el_dim);
       Vector<double> dudt_ALE(el_dim);
       DenseMatrix<double> interpolated_dudx(el_dim,el_dim);
      
       //Initialise everything to zero
       for(unsigned i=0;i<el_dim;i++)
        {
         mesh_veloc[i]=0.0;
         dudt[i]=0.0;
         dudt_ALE[i]=0.0;
         for(unsigned j=0;j<el_dim;j++)
          {
           interpolated_dudx(i,j) = 0.0;
          }
        }
      
       //Calculate velocities and derivatives
  
       //Loop over directions
       for(unsigned i=0;i<el_dim;i++)
        {
         //Get the index at which velocity i is stored
         unsigned u_nodal_index = u_index_nst(i);
         // Loop over nodes
         for(unsigned l=0;l<n_node;l++) 
          {
           dudt[i]+=du_dt_nst(l,u_nodal_index)*psif[l];
           mesh_veloc[i]+=dnodal_position_dt(l,i)*psif[l];
           
           //Loop over derivative directions for velocity gradients
           for(unsigned j=0;j<el_dim;j++)
            {                               
             interpolated_dudx(i,j) += nodal_value(l,u_nodal_index)*
              dpsifdx(l,j);
            }
          }
        }
      
      
       // Get dudt in ALE form (incl mesh veloc)
       for(unsigned i=0;i<el_dim;i++)
        {
         dudt_ALE[i]=dudt[i];
         for (unsigned k=0;k<el_dim;k++)
          {
           dudt_ALE[i]-=mesh_veloc[k]*interpolated_dudx(i,k);
          }
        }
      
      
       // Coordinates
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << interpolated_x(s,i) << " ";
        }
      
       // Velocities
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << interpolated_u_nst(s,i) << " ";
        }
      
       // Pressure
       outfile << interpolated_p_nst(s)  << " ";
      
       // Accelerations
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << dudt_ALE[i] << " ";
        }
      
       // Mesh velocity
       for(unsigned i=0;i<el_dim;i++) 
        {
         outfile << mesh_veloc[i] << " ";
        }
      
       // History values of coordinates
       unsigned n_prev=node_pt(0)->position_time_stepper_pt()->ntstorage();
       for (unsigned t=1;t<n_prev;t++)
        {
         for(unsigned i=0;i<el_dim;i++) 
          {
           outfile << interpolated_x(t,s,i) << " ";
          }
        }
      
       // History values of velocities
       n_prev=node_pt(0)->time_stepper_pt()->ntstorage();
       for (unsigned t=1;t<n_prev;t++)
        {
         for(unsigned i=0;i<el_dim;i++) 
          {
           outfile << interpolated_u_nst(t,s,i) << " ";
          }
        }
  
       // Velocity gradients
       for(unsigned i=0;i<el_dim;i++) 
        {
         for(unsigned j=0;j<el_dim;j++) 
          {
           outfile << interpolated_dudx(i,j) << " ";
          }
        }
  
       outfile << Error << " " 
               << size() << std::endl;        
      }
     
     // Write tecplot footer (e.g. FE connectivity lists)
     write_tecplot_zone_footer(outfile,nplot); 
     }

References el_dim, Error, i, j, k, s, size, and plotPSD::t.

◆ set_error() [1/3]

template<unsigned DIM>

void oomph::MyTaylorHoodElement< DIM >::set_error ( const double & error )

inline

Set error value for post-processing.

54 {Error=error;}

calibrate.error

int error

Definition: calibrate.py:297

References calibrate::error, and oomph::MyTaylorHoodElement< DIM >::Error.

◆ set_error() [2/3]

template<unsigned DIM>

void oomph::MyTaylorHoodElement< DIM >::set_error ( const double & error )

inline

Set error value for post-processing.

113 {Error=error;}

References calibrate::error, and Error.

◆ set_error() [3/3]

template<unsigned DIM>

void oomph::MyTaylorHoodElement< DIM >::set_error ( const double & error )

inline

Set error value for post-processing.

70 {Error=error;}

References calibrate::error, and Error.

◆ square_of_l2_norm() [1/3]

template<unsigned DIM>

double oomph::MyTaylorHoodElement< DIM >::square_of_l2_norm ( )

inline

Get square of L2 norm of velocity.

    {
  
     // Assign dimension 
     unsigned el_dim=2; 
     // Initalise
     double sum=0.0;
     
     //Find out how many nodes there are
     unsigned n_node = nnode();
     
     //Find the indices at which the local velocities are stored
     unsigned u_nodal_index[el_dim];
     for(unsigned i=0;i<el_dim;i++) {u_nodal_index[i] = u_index_nst(i);}
     
     //Set up memory for the velocity shape fcts
     Shape psif(n_node);
     DShape dpsidx(n_node,el_dim);
     
     //Number of integration points
     unsigned n_intpt = integral_pt()->nweight();
     
     //Set the Vector to hold local coordinates
     Vector<double> s(el_dim);
     
     //Loop over the integration points
     for(unsigned ipt=0;ipt<n_intpt;ipt++)
      {
       //Assign values of s
       for(unsigned i=0;i<el_dim;i++) s[i] = integral_pt()->knot(ipt,i);
       
       //Get the integral weight
       double w = integral_pt()->weight(ipt);
       
       // Call the derivatives of the veloc shape functions
       // (Derivs not needed but they are free)
       double J = this->dshape_eulerian_at_knot(ipt,psif,dpsidx);
       
       //Premultiply the weights and the Jacobian
       double W = w*J;
       
       //Calculate velocities 
       Vector<double> interpolated_u(el_dim,0.0);      
       
       // Loop over nodes
       for(unsigned l=0;l<n_node;l++) 
        {
         //Loop over directions
         for(unsigned i=0;i<el_dim;i++)
          {
           //Get the nodal value
           double u_value = raw_nodal_value(l,u_nodal_index[i]);
           interpolated_u[i] += u_value*psif[l];
          }
        }
  
       //Assemble square of L2 norm
       for(unsigned i=0;i<el_dim;i++)
        {
         sum+=interpolated_u[i]*interpolated_u[i]*W;
        }           
      }
  
     return sum;
  
    }

References oomph::FiniteElement::dshape_eulerian_at_knot(), el_dim, i, oomph::FiniteElement::integral_pt(), J, oomph::Integral::knot(), oomph::FiniteElement::nnode(), oomph::Integral::nweight(), oomph::FiniteElement::raw_nodal_value(), s, oomph::NavierStokesEquations< DIM >::u_index_nst(), w, oomph::QuadTreeNames::W, and oomph::Integral::weight().

◆ square_of_l2_norm() [2/3]

template<unsigned DIM>

double oomph::MyTaylorHoodElement< DIM >::square_of_l2_norm ( )

inline

Get square of L2 norm of velocity.

    {
  
     // Assign dimension 
     unsigned el_dim=2; 
     // Initalise
     double sum=0.0;
     
     //Find out how many nodes there are
     unsigned n_node = nnode();
     
     //Find the indices at which the local velocities are stored
     unsigned u_nodal_index[el_dim];
     for(unsigned i=0;i<el_dim;i++) {u_nodal_index[i] = u_index_nst(i);}
     
     //Set up memory for the velocity shape fcts
     Shape psif(n_node);
     DShape dpsidx(n_node,el_dim);
     
     //Number of integration points
     unsigned n_intpt = integral_pt()->nweight();
     
     //Set the Vector to hold local coordinates
     Vector<double> s(el_dim);
     
     //Loop over the integration points
     for(unsigned ipt=0;ipt<n_intpt;ipt++)
      {
       //Assign values of s
       for(unsigned i=0;i<el_dim;i++) s[i] = integral_pt()->knot(ipt,i);
       
       //Get the integral weight
       double w = integral_pt()->weight(ipt);
       
       // Call the derivatives of the veloc shape functions
       // (Derivs not needed but they are free)
       double J = this->dshape_eulerian_at_knot(ipt,psif,dpsidx);
       
       //Premultiply the weights and the Jacobian
       double W = w*J;
       
       //Calculate velocities 
       Vector<double> interpolated_u(el_dim,0.0);      
       
       // Loop over nodes
       for(unsigned l=0;l<n_node;l++) 
        {
         //Loop over directions
         for(unsigned i=0;i<el_dim;i++)
          {
           //Get the nodal value
           double u_value = raw_nodal_value(l,u_nodal_index[i]);
           interpolated_u[i] += u_value*psif[l];
          }
        }
  
       //Assemble square of L2 norm
       for(unsigned i=0;i<el_dim;i++)
        {
         sum+=interpolated_u[i]*interpolated_u[i]*W;
        }           
      }
  
     return sum;
  
    }

References el_dim, i, J, s, w, and oomph::QuadTreeNames::W.

◆ square_of_l2_norm() [3/3]

template<unsigned DIM>

double oomph::MyTaylorHoodElement< DIM >::square_of_l2_norm ( )

inline

Get square of L2 norm of velocity.

    {
  
     // Assign dimension 
     unsigned el_dim=2; 
     // Initalise
     double sum=0.0;
     
     //Find out how many nodes there are
     unsigned n_node = nnode();
     
     //Find the indices at which the local velocities are stored
     unsigned u_nodal_index[el_dim];
     for(unsigned i=0;i<el_dim;i++) {u_nodal_index[i] = u_index_nst(i);}
     
     //Set up memory for the velocity shape fcts
     Shape psif(n_node);
     DShape dpsidx(n_node,el_dim);
     
     //Number of integration points
     unsigned n_intpt = integral_pt()->nweight();
     
     //Set the Vector to hold local coordinates
     Vector<double> s(el_dim);
     
     //Loop over the integration points
     for(unsigned ipt=0;ipt<n_intpt;ipt++)
      {
       //Assign values of s
       for(unsigned i=0;i<el_dim;i++) s[i] = integral_pt()->knot(ipt,i);
       
       //Get the integral weight
       double w = integral_pt()->weight(ipt);
       
       // Call the derivatives of the veloc shape functions
       // (Derivs not needed but they are free)
       double J = this->dshape_eulerian_at_knot(ipt,psif,dpsidx);
       
       //Premultiply the weights and the Jacobian
       double W = w*J;
       
       //Calculate velocities 
       Vector<double> interpolated_u(el_dim,0.0);      
       
       // Loop over nodes
       for(unsigned l=0;l<n_node;l++) 
        {
         //Loop over directions
         for(unsigned i=0;i<el_dim;i++)
          {
           //Get the nodal value
           double u_value = raw_nodal_value(l,u_nodal_index[i]);
           interpolated_u[i] += u_value*psif[l];
          }
        }
  
       //Assemble square of L2 norm
       for(unsigned i=0;i<el_dim;i++)
        {
         sum+=interpolated_u[i]*interpolated_u[i]*W;
        }           
      }
  
     return sum;
  
    }

References el_dim, i, J, s, w, and oomph::QuadTreeNames::W.

◆ variable_identifier() [1/3]

template<unsigned DIM>

std::string oomph::MyTaylorHoodElement< DIM >::variable_identifier ( )

inline

Return variable identifier.

    {
     std::string txt="VARIABLES=";
     txt+="\"x\",";
     txt+="\"y\",";
     txt+="\"u\",";
     txt+="\"v\",";
     txt+="\"p\",";   
     txt+="\"du/dt\",";
     txt+="\"dv/dt\",";
     txt+="\"u_m\",";   
     txt+="\"v_m\",";
     txt+="\"x_h1\",";
     txt+="\"y_h1\",";   
     txt+="\"x_h2\",";
     txt+="\"y_h2\",";   
     txt+="\"u_h1\",";
     txt+="\"v_h1\",";   
     txt+="\"u_h2\",";
     txt+="\"v_h2\",";   
     txt+="\"error\",";   
     txt+="\"size\",";   
     txt+="\n";
     return txt;
    }

References oomph::Global_string_for_annotation::string().

◆ variable_identifier() [2/3]

template<unsigned DIM>

std::string oomph::MyTaylorHoodElement< DIM >::variable_identifier ( )

inline

Return variable identifier.

    {
     std::string txt="VARIABLES=";
     txt+="\"x\",";
     txt+="\"y\",";
     txt+="\"u\",";
     txt+="\"v\",";
     txt+="\"p\",";   
     txt+="\"du/dt\",";
     txt+="\"dv/dt\",";
     txt+="\"u_m\",";   
     txt+="\"v_m\",";
     txt+="\"x_h1\",";
     txt+="\"y_h1\",";   
     txt+="\"x_h2\",";
     txt+="\"y_h2\",";   
     txt+="\"u_h1\",";
     txt+="\"v_h1\",";   
     txt+="\"u_h2\",";
     txt+="\"v_h2\",";   
     txt+="\"error\",";   
     txt+="\"size\",";   
     txt+="\n";
     return txt;
    }

References oomph::Global_string_for_annotation::string().

◆ variable_identifier() [3/3]

template<unsigned DIM>

std::string oomph::MyTaylorHoodElement< DIM >::variable_identifier ( )

inline

Return variable identifier.

    {
     std::string txt="VARIABLES=";
     txt+="\"x\",";
     txt+="\"y\",";
     txt+="\"u\",";
     txt+="\"v\",";
     txt+="\"p\",";   
     txt+="\"du/dt\",";
     txt+="\"dv/dt\",";
     txt+="\"u_m\",";   
     txt+="\"v_m\",";
     txt+="\"x_h1\",";
     txt+="\"y_h1\",";   
     txt+="\"x_h2\",";
     txt+="\"y_h2\",";   
     txt+="\"u_h1\",";
     txt+="\"v_h1\",";   
     txt+="\"u_h2\",";
     txt+="\"v_h2\",";
     txt+="\"du/dx\",";  
     txt+="\"du/dy\",";  
     txt+="\"dv/dx\",";  
     txt+="\"dv/dy\",";     
     txt+="\"error\",";   
     txt+="\"size\",";   
     txt+="\n";
     return txt;
    }

References oomph::Global_string_for_annotation::string().

Member Data Documentation

◆ Error

template<unsigned DIM>

double MyTaylorHoodElement::Error

private

Storage for elemental error estimate – used for post-processing.

Referenced by oomph::MyTaylorHoodElement< DIM >::MyTaylorHoodElement(), oomph::MyTaylorHoodElement< DIM >::output(), and oomph::MyTaylorHoodElement< DIM >::set_error().

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

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<unsigned DIM> class oomph::MyTaylorHoodElement< DIM >

Constructor & Destructor Documentation

◆ MyTaylorHoodElement() [1/4]

◆ MyTaylorHoodElement() [2/4]

◆ MyTaylorHoodElement() [3/4]

◆ MyTaylorHoodElement() [4/4]

Member Function Documentation

◆ get_dof_numbers_for_unknowns()

◆ ndof_types()

◆ output() [1/4]

◆ output() [2/4]

◆ output() [3/4]

◆ output() [4/4]

◆ set_error() [1/3]

◆ set_error() [2/3]

◆ set_error() [3/3]

◆ square_of_l2_norm() [1/3]

◆ square_of_l2_norm() [2/3]

◆ square_of_l2_norm() [3/3]

◆ variable_identifier() [1/3]

◆ variable_identifier() [2/3]

◆ variable_identifier() [3/3]

Member Data Documentation

◆ Error

template<unsigned DIM>
class oomph::MyTaylorHoodElement< DIM >