#include <refineable_solid_elements.h>

Inheritance diagram for oomph::RefineableQPVDElementWithContinuousPressure< DIM >:

Public Member Functions
	RefineableQPVDElementWithContinuousPressure ()
	Constructor: More...

unsigned	required_nvalue (const unsigned &n) const

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

void	rebuild_from_sons (Mesh *&mesh_pt)
	Empty rebuild from sons, empty. More...

void	get_interpolated_values (const Vector< double > &s, Vector< double > &values)
	OK, interpolate the solid pressures. More...

void	get_interpolated_values (const unsigned &t, const Vector< double > &s, Vector< double > &values)
	OK get the time-dependent verion. More...

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

void	pin_elemental_redundant_nodal_solid_pressures ()
	Pin the redundant solid pressure. More...

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

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

unsigned	nrecovery_order ()

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

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

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

unsigned	ninterpolating_node_1d (const int &value_id)

unsigned	ninterpolating_node (const int &value_id)

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

void	further_setup_hanging_nodes ()

Node *	solid_pressure_node_pt (const unsigned &l)

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

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

double	solid_p (const unsigned &l)

void	set_solid_p (const unsigned &l, const double &p_value)
	Set the l-th solid pressure value to p_value. More...

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

void	fix_solid_pressure (const unsigned &l, const double &pvalue)
	Fix the pressure dof l to be the value pvalue. More...

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

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

void	output (FILE *file_pt)
	C-style generic FiniteElement output function. More...

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

Public Member Functions inherited from oomph::PVDEquationsWithPressure< DIM >
	PVDEquationsWithPressure ()
	Constructor, by default the element is NOT incompressible. More...

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

bool	is_incompressible () const
	Return whether the material is incompressible. More...

void	set_incompressible ()
	Set the material to be incompressible. More...

void	set_compressible ()
	Set the material to be compressible. More...

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

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

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

double	interpolated_solid_p (const Vector< double > &s)
	Return the interpolated_solid_pressure. More...

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

void	get_mass_matrix_diagonal (Vector< double > &mass_diag)

unsigned	ndof_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::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...

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...

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)

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

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

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

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

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

virtual 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)

void	compute_norm (double &el_norm)

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

Public Member Functions inherited from oomph::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	describe_nodal_local_dofs (std::ostream &out, const std::string &current_string) const

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

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

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

virtual unsigned	nnode_1d () const

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

virtual void	disable_ALE ()

virtual void	enable_ALE ()

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

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

double	size () const

virtual double	compute_physical_size () const

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

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

virtual unsigned	nplot_points_paraview (const unsigned &nplot) const

virtual unsigned	nsub_elements_paraview (const unsigned &nplot) const

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

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

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

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

virtual unsigned	nscalar_paraview () const

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

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

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

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

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

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

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

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

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

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

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

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

virtual unsigned	nplot_points (const unsigned &nplot) const

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

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

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

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

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

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

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

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

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

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

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

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

virtual unsigned	self_test ()

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

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

virtual unsigned	nnode_on_face () const

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

virtual CoordinateMappingFctPt	face_to_bulk_coordinate_fct_pt (const int &face_index) const

virtual BulkCoordinateDerivativesFctPt	bulk_coordinate_derivatives_fct_pt (const int &face_index) const

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

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

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

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

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

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

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

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

unsigned long	eqn_number (const unsigned &ieqn_local) const

int	local_eqn_number (const unsigned long &ieqn_global) const

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

bool	external_data_fd (const unsigned &i) const

void	exclude_external_data_fd (const unsigned &i)

void	include_external_data_fd (const unsigned &i)

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

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

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

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

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

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

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

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

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

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

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

virtual void	assign_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	complete_setup_of_dependencies ()

virtual void	get_residuals (Vector< double > &residuals)

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

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

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

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

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

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

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

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

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

virtual void	compute_norm (Vector< double > &norm)

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::SolidElementWithDiagonalMassMatrix
	SolidElementWithDiagonalMassMatrix ()
	Empty constructor. More...

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

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

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

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

void	fill_in_generic_residual_contribution_pvd_with_pressure (Vector< double > &residuals, DenseMatrix< double > &jacobian, DenseMatrix< double > &mass_matrix, const unsigned &flag)

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

void	get_Z2_flux (const Vector< double > &s, Vector< double > &flux)
	in strain tensor. More...

void	further_build ()
	Pass the generic stuff down to the sons. More...

void	get_mass_matrix_diagonal (Vector< double > &mass_diag)

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

virtual	~RefineableSolidElement ()
	Virtual Destructor, delete any allocated storage. More...

void	assign_solid_local_eqn_numbers (const bool &store_local_dof_pt)

unsigned	ngeom_data () const

Data *	geom_data_pt (const unsigned &j)

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

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

bool	is_undeformed_macro_element_used_for_new_lagrangian_coords () const

void	enable_use_of_undeformed_macro_element_for_new_lagrangian_coords ()

void	disable_use_of_undeformed_macro_element_for_new_lagrangian_coords ()

DenseMatrix< int > &	local_position_hang_eqn (Node *const &node_pt)

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

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

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

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

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

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

virtual unsigned	required_nsons () const

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

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

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

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

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

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

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

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

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

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

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

void	deselect_sons_for_unrefinement ()

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

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

virtual void	unbuild ()

virtual void	deactivate_element ()

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

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

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

virtual void	check_integrity (double &max_error)=0

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

void	assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt)

virtual RefineableElement *	root_element_pt ()

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

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

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

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

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

void	get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)

unsigned	nshape_controlling_nodes ()

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

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

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

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

virtual unsigned	ncompound_fluxes ()

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

virtual void	get_Z2_compound_flux_indices (Vector< unsigned > &flux_index)

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

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

Additional Inherited Members
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::FiniteElement
typedef void(*	SteadyExactSolutionFctPt) (const Vector< double > &, Vector< double > &)

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

Static Public Member Functions inherited from oomph::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...

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

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

static bool	Accept_negative_jacobian = false

static bool	Suppress_output_while_checking_for_inverted_elements

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

static bool	Suppress_warning_about_repeated_external_data = true

static double	Default_fd_jacobian_step = 1.0e-8

Protected Member Functions inherited from oomph::QPVDElementWithContinuousPressure< DIM >
int	solid_p_local_eqn (const unsigned &i) const

void	solid_pshape (const Vector< double > &s, Shape &psi) const
	Return the pressure shape functions. More...

const unsigned	Pconv [4]
	Conversion from pressure dof to Node number at which pressure is stored. More...

const unsigned	Pconv [8]
	Conversion from pressure dof to Node number at which pressure is stored. More...

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

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

Protected Member Functions inherited from oomph::PVDEquationsWithPressure< DIM >
void	get_stress (const DenseMatrix< double > &g, const DenseMatrix< double > &G, DenseMatrix< double > &sigma_dev, DenseMatrix< double > &Gcontra, double &gen_dil, double &inv_kappa)

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

void	solid_pshape_at_knot (const unsigned &ipt, Shape &psi) const
	Return the stored solid shape functions at the knots. More...

void	get_stress (const DenseMatrix< double > &g, const DenseMatrix< double > &G, DenseMatrix< double > &sigma_dev, DenseMatrix< double > &Gcontra, double &detG)

void	get_d_stress_dG_upper (const DenseMatrix< double > &g, const DenseMatrix< double > &G, const DenseMatrix< double > &sigma, const double &detG, const double &interpolated_solid_p, RankFourTensor< double > &d_sigma_dG, DenseMatrix< double > &d_detG_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

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

void	fill_in_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::FiniteElement
template<unsigned DIM>
double	invert_jacobian (const DenseMatrix< double > &jacobian, DenseMatrix< double > &inverse_jacobian) const

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

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

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

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

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

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

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

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

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

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

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

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

void	fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_nodal_fd ()

virtual void	reset_after_nodal_fd ()

virtual void	update_in_nodal_fd (const unsigned &i)

virtual void	reset_in_nodal_fd (const unsigned &i)

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_dresiduals_dparameter (double *const &parameter_pt, Vector< double > &dres_dparam)

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

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

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

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

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

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

void	assemble_local_to_lagrangian_jacobian2 (const DShape &d2psids, DenseMatrix< double > &jacobian2) const

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

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

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

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

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

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

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

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

Protected Attributes inherited from oomph::PVDEquationsWithPressure< DIM >
bool	Incompressible
	Boolean to determine whether the solid is incompressible or not. More...

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::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::RefineableSolidElement
bool	Use_undeformed_macro_element_for_new_lagrangian_coords

Protected Attributes inherited from oomph::RefineableElement
Tree *	Tree_pt
	A pointer to a general tree object. More...

unsigned	Refine_level
	Refinement level. More...

bool	To_be_refined
	Flag for refinement. More...

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

bool	Sons_to_be_unrefined
	Flag for unrefinement. More...

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

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

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::FiniteElement
static const unsigned	Default_Initial_Nvalue = 0
	Default value for the number of values at a node. More...

static const double	Node_location_tolerance = 1.0e-14

static const unsigned	N2deriv [] = {0, 1, 3, 6}

Static Protected Attributes inherited from oomph::GeneralisedElement
static DenseMatrix< double >	Dummy_matrix

static std::deque< double * >	Dof_pt_deque

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

Detailed Description

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

Class for refineable solid mechanics elements in near-incompressible/ incompressible formulation, so a pressure is included! These elements include a continuously interpolated pressure a la Taylor Hood/

Constructor & Destructor Documentation

◆ RefineableQPVDElementWithContinuousPressure()

template<unsigned DIM>

oomph::RefineableQPVDElementWithContinuousPressure< DIM >::RefineableQPVDElementWithContinuousPressure ( )

inline

Constructor:

       : QPVDElementWithContinuousPressure<DIM>(),
         RefineableElement(),
         RefineableSolidElement(),
         RefineablePVDEquationsWithPressure<DIM>(),
         RefineableSolidQElement<DIM>()
     {
     }

Member Function Documentation

◆ further_setup_hanging_nodes()

template<unsigned DIM>

void oomph::RefineableQPVDElementWithContinuousPressure< DIM >::further_setup_hanging_nodes ( )

inlinevirtual

Perform additional hanging node procedures for variables that are not interpolated by all nodes.

Reimplemented from oomph::RefineableElement.

     {
       this->setup_hang_for_value(this->solid_p_nodal_index());
     }

References oomph::QPVDElementWithContinuousPressure< DIM >::solid_p_nodal_index().

◆ get_interpolated_values() [1/2]

template<unsigned DIM>

void oomph::RefineableQPVDElementWithContinuousPressure< DIM >::get_interpolated_values	(	const unsigned &	t,
		const Vector< double > &	s,
		Vector< double > &	values
	)

inlinevirtual

OK get the time-dependent verion.

Reimplemented from oomph::RefineablePVDEquationsWithPressure< DIM >.

     {
       // There is only one solid pressure, initialise to zero
       values.resize(1);
       // The solid pressure does not depend on time!
       values[0] = this->interpolated_solid_p(s);
     }

References oomph::PVDEquationsWithPressure< DIM >::interpolated_solid_p().

◆ get_interpolated_values() [2/2]

template<unsigned DIM>

void oomph::RefineableQPVDElementWithContinuousPressure< DIM >::get_interpolated_values	(	const Vector< double > &	s,
		Vector< double > &	values
	)

inlinevirtual

OK, interpolate the solid pressures.

Reimplemented from oomph::RefineablePVDEquationsWithPressure< DIM >.

     {
       // There is only one solid pressure, initialise to zero
       values.resize(1);
  
       // Get the interpolated value
       values[0] = this->interpolated_solid_p(s);
     }

References oomph::PVDEquationsWithPressure< DIM >::interpolated_solid_p().

◆ get_interpolating_node_at_local_coordinate()

template<unsigned DIM>

Node* oomph::RefineableQPVDElementWithContinuousPressure< DIM >::get_interpolating_node_at_local_coordinate	(	const Vector< double > &	s,
		const int &	value_id
	)

inlinevirtual

The velocity nodes are the same as the geometric nodes. The pressure nodes must be calculated by using the same methods as the geometric nodes, but by recalling that there are only two pressure nodes per edge.

Construct the general pressure index from the components.

Reimplemented from oomph::RefineableElement.

     {
 #ifdef PARANOID
       RefineableElement::check_value_id(1, value_id);
 #endif
  
       // If we are calculating solid pressure nodes
       if (value_id == 0)
       {
         // Storage for the index of the pressure node
         unsigned total_index = 0;
         // The number of nodes along each 1d edge is 2.
         unsigned NNODE_1D = 2;
         // Storage for the index along each boundary
         Vector<int> index(DIM);
         // Loop over the coordinates
         for (unsigned i = 0; i < DIM; i++)
         {
           // If we are at the lower limit, the index is zero
           if (s[i] == -1.0)
           {
             index[i] = 0;
           }
           // If we are at the upper limit, the index is the number of nodes
           // minus 1
           else if (s[i] == 1.0)
           {
             index[i] = NNODE_1D - 1;
           }
           // Otherwise, we have to calculate the index in general
           else
           {
             // For uniformly spaced nodes the 0th node number would be
             double float_index = 0.5 * (1.0 + s[i]) * (NNODE_1D - 1);
             index[i] = int(float_index);
             // What is the excess. This should be safe because the
             // taking the integer part rounds down
             double excess = float_index - index[i];
             // If the excess is bigger than our tolerance there is no node,
             // return null
             if ((excess > FiniteElement::Node_location_tolerance) &&
                 ((1.0 - excess) > FiniteElement::Node_location_tolerance))
             {
               return 0;
             }
           }
           total_index +=
             index[i] * static_cast<unsigned>(pow(static_cast<float>(NNODE_1D),
                                                  static_cast<int>(i)));
         }
         // If we've got here we have a node, so let's return a pointer to it
         return this->solid_pressure_node_pt(total_index);
       }
       // Otherwise velocity nodes are the same as pressure nodes
       else
       {
         return this->get_node_at_local_coordinate(s);
       }
     }

References oomph::RefineableElement::check_value_id(), DIM, oomph::FiniteElement::get_node_at_local_coordinate(), i, int(), oomph::FiniteElement::Node_location_tolerance, Eigen::bfloat16_impl::pow(), s, and oomph::RefineableQPVDElementWithContinuousPressure< DIM >::solid_pressure_node_pt().

◆ interpolating_basis()

template<unsigned DIM>

void oomph::RefineableQPVDElementWithContinuousPressure< DIM >::interpolating_basis	(	const Vector< double > &	s,
		Shape &	psi,
		const int &	value_id
	)		const

inlinevirtual

The basis interpolating the pressure is given by pshape(). / The basis interpolating the velocity is shape().

Reimplemented from oomph::RefineableElement.

     {
 #ifdef PARANOID
       RefineableElement::check_value_id(1, value_id);
 #endif
  
       if (value_id == 0)
       {
         return this->solid_pshape(s, psi);
       }
       else
       {
         return this->shape(s, psi);
       }
     }

References oomph::RefineableElement::check_value_id(), oomph::FiniteElement::shape(), and oomph::QPVDElementWithContinuousPressure< DIM >::solid_pshape().

◆ interpolating_node_pt()

template<unsigned DIM>

Node* oomph::RefineableQPVDElementWithContinuousPressure< DIM >::interpolating_node_pt	(	const unsigned &	n,
		const int &	value_id
	)

inlinevirtual

The pressure "nodes" are a subset of the nodes, so when value_id==0, the n-th pressure node is returned.

Reimplemented from oomph::RefineableElement.

     {
 #ifdef PARANOID
       RefineableElement::check_value_id(1, value_id);
 #endif
       // If we are at the value return the solid pressure node
       if (value_id == 0)
       {
         return this->solid_pressure_node_pt(n);
       }
       // Otherwise return the nodal values
       else
       {
         return this->node_pt(n);
       }
     }

References oomph::RefineableElement::check_value_id(), oomph::FiniteElement::node_pt(), and oomph::RefineableQPVDElementWithContinuousPressure< DIM >::solid_pressure_node_pt().

◆ local_one_d_fraction_of_interpolating_node()

template<unsigned DIM>

double oomph::RefineableQPVDElementWithContinuousPressure< DIM >::local_one_d_fraction_of_interpolating_node	(	const unsigned &	n1d,
		const unsigned &	i,
		const int &	value_id
	)

inlinevirtual

The pressure nodes are the corner nodes, so when value_id==0, the fraction is the same as the 1d node number, 0 or 1.

Reimplemented from oomph::RefineableElement.

     {
 #ifdef PARANOID
       RefineableElement::check_value_id(1, value_id);
 #endif
       // If it's the only value, we have the pressure
       if (value_id == 0)
       {
         // The pressure nodes are just located on the boundaries at 0 or 1
         return double(n1d);
       }
       // Otherwise we have the geometric nodes
       else
       {
         return this->local_one_d_fraction_of_node(n1d, i);
       }
     }

References oomph::RefineableElement::check_value_id(), i, and oomph::FiniteElement::local_one_d_fraction_of_node().

◆ ncont_interpolated_values()

template<unsigned DIM>

unsigned oomph::RefineableQPVDElementWithContinuousPressure< DIM >::ncont_interpolated_values ( ) const

inlinevirtual

Number of continuously interpolated values (1) solid pressure.

Reimplemented from oomph::RefineablePVDEquationsWithPressure< DIM >.

     {
       return 1;
     }

◆ ninterpolating_node()

template<unsigned DIM>

unsigned oomph::RefineableQPVDElementWithContinuousPressure< DIM >::ninterpolating_node ( const int & value_id )

inlinevirtual

The number of pressure nodes is 2^DIM. The number of velocity nodes is the same as the number of geometric nodes.

Reimplemented from oomph::RefineableElement.

     {
 #ifdef PARANOID
       RefineableElement::check_value_id(1, value_id);
 #endif
  
       if (value_id == 0)
       {
         return static_cast<unsigned>(pow(2.0, static_cast<int>(DIM)));
       }
       else
       {
         return this->nnode();
       }
     }

References oomph::RefineableElement::check_value_id(), DIM, oomph::FiniteElement::nnode(), and Eigen::bfloat16_impl::pow().

◆ ninterpolating_node_1d()

template<unsigned DIM>

unsigned oomph::RefineableQPVDElementWithContinuousPressure< DIM >::ninterpolating_node_1d ( const int & value_id )

inlinevirtual

The number of 1d pressure nodes is 2, otherwise we have the positional nodes

Reimplemented from oomph::RefineableElement.

     {
 #ifdef PARANOID
       RefineableElement::check_value_id(1, value_id);
 #endif
  
       if (value_id == 0)
       {
         return 2;
       }
       else
       {
         return this->nnode_1d();
       }
     }

References oomph::RefineableElement::check_value_id(), and oomph::FiniteElement::nnode_1d().

◆ nrecovery_order()

template<unsigned DIM>

unsigned oomph::RefineableQPVDElementWithContinuousPressure< DIM >::nrecovery_order ( )

inlinevirtual

Order of recovery shape functions for Z2 error estimation: Same order as shape functions.

Implements oomph::ElementWithZ2ErrorEstimator.

     {
       return 2;
     } // NNODE_1D-1;}

◆ nvertex_node()

template<unsigned DIM>

unsigned oomph::RefineableQPVDElementWithContinuousPressure< DIM >::nvertex_node ( ) const

inlinevirtual

Number of vertex nodes in the element.

Implements oomph::ElementWithZ2ErrorEstimator.

     {
       return QPVDElementWithContinuousPressure<DIM>::nvertex_node();
     }

References oomph::FiniteElement::nvertex_node().

◆ pin_elemental_redundant_nodal_solid_pressures()

template<unsigned DIM>

void oomph::RefineableQPVDElementWithContinuousPressure< DIM >::pin_elemental_redundant_nodal_solid_pressures ( )

inlinevirtual

Pin the redundant solid pressure.

Reimplemented from oomph::PVDEquationsBase< DIM >.

     {
       // Find the index of the solid pressure
       int solid_p_index = this->solid_p_nodal_index();
       // Let's pin all pressure nodes
       unsigned n_node = this->nnode();
       for (unsigned l = 0; l < n_node; l++)
       {
         // Pin the solid pressure
         this->node_pt(l)->pin(solid_p_index);
       }
  
       // Now loop over the pressure nodes and unpin the solid pressures
       unsigned n_solid_pres = this->npres_solid();
       // Loop over these nodes and unpin the solid pressures
       for (unsigned l = 0; l < n_solid_pres; l++)
       {
         Node* nod_pt = this->solid_pressure_node_pt(l);
         if (!nod_pt->is_hanging(solid_p_index))
         {
           nod_pt->unpin(solid_p_index);
         }
       }
     }

References oomph::Node::is_hanging(), oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::QPVDElementWithContinuousPressure< DIM >::npres_solid(), oomph::Data::pin(), oomph::QPVDElementWithContinuousPressure< DIM >::solid_p_nodal_index(), oomph::RefineableQPVDElementWithContinuousPressure< DIM >::solid_pressure_node_pt(), and oomph::Data::unpin().

◆ rebuild_from_sons()

template<unsigned DIM>

void oomph::RefineableQPVDElementWithContinuousPressure< DIM >::rebuild_from_sons ( Mesh *& mesh_pt )

inlinevirtual

Empty rebuild from sons, empty.

Implements oomph::RefineableElement.

853 {}

◆ required_nvalue()

template<unsigned DIM>

unsigned oomph::RefineableQPVDElementWithContinuousPressure< DIM >::required_nvalue ( const unsigned & n ) const

inlinevirtual

Overload the number of additional solid dofs at each node, we shall always assign 1, otherwise it's a real pain

Reimplemented from oomph::QPVDElementWithContinuousPressure< DIM >.

     {
       return 1;
     }

◆ solid_pressure_node_pt()

template<unsigned DIM>

Node* oomph::RefineableQPVDElementWithContinuousPressure< DIM >::solid_pressure_node_pt ( const unsigned & l )

inlinevirtual

Reimplemented from oomph::RefineablePVDEquationsWithPressure< DIM >.

     {
       return this->node_pt(this->Pconv[l]);
     }

References oomph::FiniteElement::node_pt(), and oomph::QPVDElementWithContinuousPressure< DIM >::Pconv.

Referenced by oomph::RefineableQPVDElementWithContinuousPressure< DIM >::get_interpolating_node_at_local_coordinate(), oomph::RefineableQPVDElementWithContinuousPressure< DIM >::interpolating_node_pt(), and oomph::RefineableQPVDElementWithContinuousPressure< DIM >::pin_elemental_redundant_nodal_solid_pressures().

◆ unpin_elemental_solid_pressure_dofs()

template<unsigned DIM>

void oomph::RefineableQPVDElementWithContinuousPressure< DIM >::unpin_elemental_solid_pressure_dofs ( )

inlinevirtual

Unpin all pressure dofs.

Implements oomph::PVDEquationsBase< DIM >.

     {
       // find the index at which the pressure is stored
       int solid_p_index = this->solid_p_nodal_index();
       unsigned n_node = this->nnode();
       // loop over nodes
       for (unsigned n = 0; n < n_node; n++)
       {
         this->node_pt(n)->unpin(solid_p_index);
       }
     }

References n, oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::QPVDElementWithContinuousPressure< DIM >::solid_p_nodal_index(), and oomph::Data::unpin().

◆ vertex_node_pt()

template<unsigned DIM>

Node* oomph::RefineableQPVDElementWithContinuousPressure< DIM >::vertex_node_pt ( const unsigned & j ) const

inlinevirtual

Pointer to the j-th vertex node in the element.

Implements oomph::ElementWithZ2ErrorEstimator.

     {
       return QPVDElementWithContinuousPressure<DIM>::vertex_node_pt(j);
     }

References j, and oomph::FiniteElement::vertex_node_pt().

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

refineable_solid_elements.h

Public Member Functions

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

◆ RefineableQPVDElementWithContinuousPressure()

Member Function Documentation

◆ further_setup_hanging_nodes()

◆ get_interpolated_values() [1/2]

◆ get_interpolated_values() [2/2]

◆ get_interpolating_node_at_local_coordinate()

◆ interpolating_basis()

◆ interpolating_node_pt()

◆ local_one_d_fraction_of_interpolating_node()

◆ ncont_interpolated_values()

◆ ninterpolating_node()

◆ ninterpolating_node_1d()

◆ nrecovery_order()

◆ nvertex_node()

◆ pin_elemental_redundant_nodal_solid_pressures()

◆ rebuild_from_sons()

◆ required_nvalue()

◆ solid_pressure_node_pt()

◆ unpin_elemental_solid_pressure_dofs()

◆ vertex_node_pt()

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