#include <periodic_orbit_handler.h>

Inheritance diagram for oomph::PeriodicOrbitEquations:

Public Member Functions
	PeriodicOrbitEquations ()

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

double *&	omega_pt ()
	Broken assignment operator. More...

double	omega ()
	Return the frequency. More...

void	set_ntstorage (const unsigned &n_tstorage)
	Set the total number of time storage values. More...

Time *&	time_pt ()
	Retun the pointer to the global time. More...

Time *const &	time_pt () const
	Return the pointer to the global time (const version) More...

double	time () const
	Return the global time, accessed via the time pointer. More...

void	fill_in_contribution_to_integrated_residuals (PeriodicOrbitAssemblyHandlerBase const &assembly_handler_pt, GeneralisedElement const &elem_pt, Vector< double > &residuals)
	Add the element's contribution to its residual vector (wrapper) More...

void	fill_in_contribution_to_integrated_jacobian (PeriodicOrbitAssemblyHandlerBase const &assembly_handler_pt, GeneralisedElement const &elem_pt, Vector< double > &residuals, DenseMatrix< double > &jacobian)

void	orbit_output (GeneralisedElement *const &elem_pt, std::ostream &outfile, const unsigned &n_plot)

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

void	set_nodal_dimension (const unsigned &nodal_dim)

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

void	set_n_node (const unsigned &n)

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

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

	FiniteElement ()
	Constructor. More...

virtual	~FiniteElement ()

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

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

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

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

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

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

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

virtual void	set_macro_elem_pt (MacroElement *macro_elem_pt)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

virtual double	J_eulerian_at_knot (const unsigned &ipt) const

void	check_J_eulerian_at_knots (bool &passed) const

void	check_jacobian (const double &jacobian) const

double	dshape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx) const

virtual double	dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx) const

virtual double	dshape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsi, DenseMatrix< double > &djacobian_dX, RankFourTensor< double > &d_dpsidx_dX) const

double	d2shape_eulerian (const Vector< double > &s, Shape &psi, DShape &dpsidx, DShape &d2psidx) const

virtual double	d2shape_eulerian_at_knot (const unsigned &ipt, Shape &psi, DShape &dpsidx, DShape &d2psidx) const

virtual void	assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt)

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

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

virtual void	assign_all_generic_local_eqn_numbers (const bool &store_local_dof_pt)

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

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

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

virtual unsigned	nnode_1d () const

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

virtual void	get_dresidual_dnodal_coordinates (RankThreeTensor< double > &dresidual_dnodal_coordinates)

virtual void	disable_ALE ()

virtual void	enable_ALE ()

virtual unsigned	required_nvalue (const unsigned &n) const

unsigned	nnodal_position_type () const

bool	has_hanging_nodes () const

unsigned	nodal_dimension () const
	Return the required Eulerian dimension of the nodes in this element. More...

virtual unsigned	nvertex_node () const

virtual Node *	vertex_node_pt (const unsigned &j) const

virtual Node *	construct_node (const unsigned &n)

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

virtual Node *	construct_boundary_node (const unsigned &n)

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

int	get_node_number (Node *const &node_pt) const

virtual Node *	get_node_at_local_coordinate (const Vector< double > &s) const

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

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

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

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

unsigned	dim () const

virtual ElementGeometry::ElementGeometry	element_geometry () const
	Return the geometry type of the element (either Q or T usually). More...

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

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

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

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

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

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

unsigned	ngeom_data () const

Data *	geom_data_pt (const unsigned &j)

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

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

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

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

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

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

virtual void	node_update ()

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

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

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

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

double	size () const

virtual double	compute_physical_size () const

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

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

virtual unsigned	nplot_points_paraview (const unsigned &nplot) const

virtual unsigned	nsub_elements_paraview (const unsigned &nplot) const

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

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

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

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

virtual unsigned	nscalar_paraview () const

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

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

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

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

virtual void	output (std::ostream &outfile)

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

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

virtual void	output (FILE *file_pt)

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

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

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

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

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

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

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

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

virtual unsigned	nplot_points (const unsigned &nplot) const

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

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

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

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

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

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

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

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

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

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

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

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

virtual unsigned	self_test ()

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

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

virtual unsigned	nnode_on_face () const

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

virtual CoordinateMappingFctPt	face_to_bulk_coordinate_fct_pt (const int &face_index) const

virtual BulkCoordinateDerivativesFctPt	bulk_coordinate_derivatives_fct_pt (const int &face_index) const

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

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

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

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

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

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

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

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

unsigned long	eqn_number (const unsigned &ieqn_local) const

int	local_eqn_number (const unsigned long &ieqn_global) const

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

bool	external_data_fd (const unsigned &i) const

void	exclude_external_data_fd (const unsigned &i)

void	include_external_data_fd (const unsigned &i)

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

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

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

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

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

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

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

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

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

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

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

virtual void	assign_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	complete_setup_of_dependencies ()

virtual void	get_residuals (Vector< double > &residuals)

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

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

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

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

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

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

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

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

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

virtual void	compute_norm (Vector< double > &norm)

virtual void	compute_norm (double &norm)

virtual unsigned	ndof_types () const

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

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

	GeomObject (const unsigned &ndim)

	GeomObject (const unsigned &nlagrangian, const unsigned &ndim)

	GeomObject (const unsigned &nlagrangian, const unsigned &ndim, TimeStepper *time_stepper_pt)

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

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

virtual	~GeomObject ()
	(Empty) destructor More...

unsigned	nlagrangian () const
	Access function to # of Lagrangian coordinates. More...

unsigned	ndim () const
	Access function to # of Eulerian coordinates. More...

void	set_nlagrangian_and_ndim (const unsigned &n_lagrangian, const unsigned &n_dim)
	Set # of Lagrangian and Eulerian coordinates. More...

TimeStepper *&	time_stepper_pt ()

TimeStepper *	time_stepper_pt () const

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

virtual void	dposition (const Vector< double > &zeta, DenseMatrix< double > &drdzeta) const

virtual void	d2position (const Vector< double > &zeta, RankThreeTensor< double > &ddrdzeta) const

virtual void	d2position (const Vector< double > &zeta, Vector< double > &r, DenseMatrix< double > &drdzeta, RankThreeTensor< double > &ddrdzeta) const

Protected Member Functions
void	fill_in_generic_residual_contribution_orbit (PeriodicOrbitAssemblyHandlerBase const &assembly_handler_pt, GeneralisedElement const &elem_pt, Vector< double > &residuals, DenseMatrix< double > &jacobian, const unsigned &flag)
	The routine that actually does all the work! More...

void	set_timestepper_weights (const Shape &psi, const DShape &dpsidt)
	Set the timestepper weights. More...

virtual double	dshape_and_dtest_eulerian_orbit (const Vector< double > &s, Shape &psi, DShape &dpsidt, Shape &test, DShape &dtestdt) const =0

virtual double	dshape_and_dtest_eulerian_at_knot_orbit (const unsigned &ipt, Shape &psi, DShape &dpsidt, Shape &test, DShape &dtestdt) const =0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

void	fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_nodal_fd ()

virtual void	reset_after_nodal_fd ()

virtual void	update_in_nodal_fd (const unsigned &i)

virtual void	reset_in_nodal_fd (const unsigned &i)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

bool	internal_data_fd (const unsigned &i) const

void	exclude_internal_data_fd (const unsigned &i)

void	include_internal_data_fd (const unsigned &i)

void	clear_global_eqn_numbers ()

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

virtual void	assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	assign_additional_local_eqn_numbers ()

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

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

virtual void	fill_in_contribution_to_residuals (Vector< double > &residuals)

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

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

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

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

virtual void	update_before_internal_fd ()

virtual void	reset_after_internal_fd ()

virtual void	update_in_internal_fd (const unsigned &i)

virtual void	reset_in_internal_fd (const unsigned &i)

virtual void	update_before_external_fd ()

virtual void	reset_after_external_fd ()

virtual void	update_in_external_fd (const unsigned &i)

virtual void	reset_in_external_fd (const unsigned &i)

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

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

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

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

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

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

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

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

Private Attributes
unsigned	Ntstorage

double *	Omega_pt

Time *	Time_pt
	Pointer to global time. 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 > &)

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

static bool	Accept_negative_jacobian = false

static bool	Suppress_output_while_checking_for_inverted_elements

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

static bool	Suppress_warning_about_repeated_external_data = true

static double	Default_fd_jacobian_step = 1.0e-8

Protected Attributes inherited from oomph::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

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

Constructor & Destructor Documentation

◆ PeriodicOrbitEquations() [1/2]

oomph::PeriodicOrbitEquations::PeriodicOrbitEquations ( )

inline

182 : Ntstorage(0), Omega_pt(0), Time_pt(0) {}

oomph::PeriodicOrbitEquations::Time_pt

Time * Time_pt

Pointer to global time.

Definition: periodic_orbit_handler.h:178

oomph::PeriodicOrbitEquations::Omega_pt

double * Omega_pt

Definition: periodic_orbit_handler.h:175

oomph::PeriodicOrbitEquations::Ntstorage

unsigned Ntstorage

Definition: periodic_orbit_handler.h:172

◆ PeriodicOrbitEquations() [2/2]

oomph::PeriodicOrbitEquations::PeriodicOrbitEquations ( const PeriodicOrbitEquations & dummy )

delete

Broken copy constructor.

Member Function Documentation

◆ dshape_and_dtest_eulerian_at_knot_orbit()

virtual double oomph::PeriodicOrbitEquations::dshape_and_dtest_eulerian_at_knot_orbit	(	const unsigned &	ipt,
		Shape &	psi,
		DShape &	dpsidt,
		Shape &	test,
		DShape &	dtestdt
	)		const

protectedpure virtual

Shape/test functions and derivs w.r.t. to global coords at integration point ipt; return Jacobian of mapping

Implemented in oomph::SpectralPeriodicOrbitElement< NNODE_1D >.

Referenced by fill_in_generic_residual_contribution_orbit().

◆ dshape_and_dtest_eulerian_orbit()

virtual double oomph::PeriodicOrbitEquations::dshape_and_dtest_eulerian_orbit	(	const Vector< double > &	s,
		Shape &	psi,
		DShape &	dpsidt,
		Shape &	test,
		DShape &	dtestdt
	)		const

protectedpure virtual

Shape/test functions and derivs w.r.t. to global coords at local coord. s; return Jacobian of mapping

Implemented in oomph::SpectralPeriodicOrbitElement< NNODE_1D >.

◆ fill_in_contribution_to_integrated_jacobian()

void oomph::PeriodicOrbitEquations::fill_in_contribution_to_integrated_jacobian	(	PeriodicOrbitAssemblyHandlerBase *const &	assembly_handler_pt,
		GeneralisedElement *const &	elem_pt,
		Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian
	)

inline

Add the element's contribution to its residual vector and element Jacobian matrix (wrapper)

     {
       // Call the generic routine with the flag set to 1
       fill_in_generic_residual_contribution_orbit(
         assembly_handler_pt, elem_pt, residuals, jacobian, 1);
     }

References fill_in_generic_residual_contribution_orbit().

◆ fill_in_contribution_to_integrated_residuals()

void oomph::PeriodicOrbitEquations::fill_in_contribution_to_integrated_residuals	(	PeriodicOrbitAssemblyHandlerBase *const &	assembly_handler_pt,
		GeneralisedElement *const &	elem_pt,
		Vector< double > &	residuals
	)

inline

Add the element's contribution to its residual vector (wrapper)

     {
       // Call the generic residuals function with flag set to 0
       // using a dummy matrix argument
       fill_in_generic_residual_contribution_orbit(
         assembly_handler_pt,
         elem_pt,
         residuals,
         GeneralisedElement::Dummy_matrix,
         0);
     }

References oomph::GeneralisedElement::Dummy_matrix, and fill_in_generic_residual_contribution_orbit().

◆ fill_in_generic_residual_contribution_orbit()

void oomph::PeriodicOrbitEquations::fill_in_generic_residual_contribution_orbit	(	PeriodicOrbitAssemblyHandlerBase *const &	assembly_handler_pt,
		GeneralisedElement *const &	elem_pt,
		Vector< double > &	residuals,
		DenseMatrix< double > &	jacobian,
		const unsigned &	flag
	)

protected

The routine that actually does all the work!

   {
     // A simple integration loop
     // Find out how many nodes there are
     const unsigned n_node = nnode();
  
     // Set up memory for the shape and test functions
     Shape psi(n_node), test(n_node);
     DShape dpsidt(n_node, 1), dtestdt(n_node, 1);
  
     // Set the value of n_intpt
     const unsigned n_intpt = integral_pt()->nweight();
  
     // Integers to store the local equation and unknown numbers
     int local_eqn = 0, local_unknown = 0;
  
     // Storage for the underlying element's residuals
     const unsigned n_elem_dof = elem_pt->ndof();
     Vector<double> el_residuals(n_elem_dof);
     DenseMatrix<double> el_mass;
     DenseMatrix<double> el_jacobian;
  
     if (flag)
     {
       el_mass.resize(n_elem_dof, n_elem_dof);
       el_jacobian.resize(n_elem_dof, n_elem_dof);
     }
  
     // Storage for the current value of the unkowns
     Vector<double> u(n_elem_dof);
     // and the derivatives
     Vector<double> du_dt(n_elem_dof);
     // And the previous derivative
     Vector<double> du_dt_old(n_elem_dof);
     // Storage for the inner product matrix
     DenseMatrix<double> inner_product(n_elem_dof);
     // Cast the element
     PeriodicOrbitBaseElement* const base_el_pt =
       dynamic_cast<PeriodicOrbitBaseElement*>(elem_pt);
     // Get the inner product matrix
     base_el_pt->get_inner_product_matrix(inner_product);
  
     // Storage for "all" unknowns
     Vector<double> all_current_unknowns;
     Vector<double> all_previous_unknowns;
  
     // Get the value of omega
     const double inverse_timescale = this->omega();
  
     // Loop over the integration points
     for (unsigned ipt = 0; ipt < n_intpt; ipt++)
     {
       // Get the integral weight
       double w = integral_pt()->weight(ipt);
  
       // Call the derivatives of the shape and test functions
       double J = dshape_and_dtest_eulerian_at_knot_orbit(
         ipt, psi, dpsidt, test, dtestdt);
  
       // Premultiply the weights and the Jacobian
       double W = w * J;
  
       // Sort out the timestepper weights and the time in here
       // Calculate the time
       double interpolated_time = 0.0;
       for (unsigned l = 0; l < n_node; l++)
       {
         interpolated_time += raw_nodal_position(l, 0) * psi(l);
       }
  
  
       // Need to multiply by period and the set global time
       this->time_pt()->time() = interpolated_time / inverse_timescale;
       // Set the weights of the timestepper
       this->set_timestepper_weights(psi, dpsidt);
  
       // Get the residuals of the element or residuals and jacobian
       if (flag)
       {
         elem_pt->get_jacobian_and_mass_matrix(
           el_residuals, el_jacobian, el_mass);
       }
       else
       {
         elem_pt->get_residuals(el_residuals);
       }
  
       // Get the current value of the unknown time derivatives
       base_el_pt->get_non_external_ddofs_dt(du_dt);
  
       // Multiply the elemental residuals by the appropriate test functions
       for (unsigned l = 0; l < n_node; l++)
       {
         // Get the local equation number
         local_eqn = nodal_local_eqn(l, 0);
         // If it's not a boundary condition (it will never be)
         if (local_eqn >= 0)
         {
           // Work out the offset which is the GLOBAL time unknown
           // multiplied by the number of elemental unknowns
           unsigned offset = this->eqn_number(local_eqn) * n_elem_dof;
           // Add to the appropriate residuals
           for (unsigned i = 0; i < n_elem_dof; i++)
           {
             residuals[i + offset] += el_residuals[i] * psi(l) * W;
           }
  
  
           // Add the jacobian contributions
           if (flag)
           {
             // The form of the equations is -M du/dt + R = 0
  
             // Now add the contribution to the jacobian
             for (unsigned l2 = 0; l2 < n_node; l2++)
             {
               local_unknown = nodal_local_eqn(l2, 0);
               if (local_unknown >= 0)
               {
                 // Work out the second offset
                 unsigned offset2 = this->eqn_number(local_unknown) * n_elem_dof;
                 // Add to the appropriate jacobian terms
                 for (unsigned i = 0; i < n_elem_dof; i++)
                 {
                   for (unsigned j = 0; j < n_elem_dof; j++)
                   {
                     // Add in the Jacobian terms
                     jacobian(i + offset, j + offset2) +=
                       el_jacobian(i, j) * psi(l2) * psi(l) * W;
  
                     // Add the time derivative terms,
                     jacobian(i + offset, j + offset2) -=
                       el_mass(i, j) * dpsidt(l2, 0) * inverse_timescale *
                       psi(l) * W;
                   }
                 }
               }
             }
  
  
             // Add the variation of the period
             for (unsigned i = 0; i < n_elem_dof; i++)
             {
               for (unsigned j = 0; j < n_elem_dof; j++)
               {
                 jacobian(i + offset, Ntstorage * n_elem_dof) -=
                   el_mass(i, j) * (du_dt[j] / inverse_timescale) * psi(l) * W;
               }
             }
           } // End of Jacobian flag
         }
       }
  
       // Sort out the phase condition
  
       // Get the current value of the unknowns
       base_el_pt->get_non_external_dofs(u);
  
       // Now get the unknowns required by the assembly handler
       // i.e. including all values throughout the period for backup
       assembly_handler_pt->get_dofs_for_element(elem_pt, all_current_unknowns);
       // Get the previous values as stored by the assembly handler
       assembly_handler_pt->get_previous_dofs_for_element(elem_pt,
                                                          all_previous_unknowns);
  
       // Now set the elemental values to the previous values
       assembly_handler_pt->set_dofs_for_element(elem_pt, all_previous_unknowns);
       // Get the previous time derivatives
       base_el_pt->get_non_external_ddofs_dt(du_dt_old);
       // Reset the element's values to the current
       assembly_handler_pt->set_dofs_for_element(elem_pt, all_current_unknowns);
  
  
       // Assemble the inner product
       double sum = 0.0;
       for (unsigned i = 0; i < n_elem_dof; i++)
       {
         for (unsigned j = 0; j < n_elem_dof; j++)
         {
           sum += u[i] * inner_product(i, j) * du_dt_old[j];
         }
       }
  
       // Add to the residuals
       residuals[Ntstorage * n_elem_dof] += sum * W;
  
       // Sort out the jacobian
       if (flag)
       {
         // Loop over the unknown time points
         for (unsigned l2 = 0; l2 < n_node; l2++)
         {
           // Get the local unknown
           local_unknown = nodal_local_eqn(l2, 0);
           if (local_unknown >= 0)
           {
             // Work out the offset
             unsigned offset2 = this->eqn_number(local_unknown) * n_elem_dof;
             // Now add in the appropriate jacobian terms
             for (unsigned i2 = 0; i2 < n_elem_dof; i2++)
             {
               double sum2 = 0.0;
               for (unsigned j = 0; j < n_elem_dof; j++)
               {
                 sum2 += inner_product(i2, j) * du_dt_old[j];
               }
               jacobian(Ntstorage * n_elem_dof, i2 + offset2) +=
                 psi(l2) * sum2 * W;
             }
           }
         }
       } // End of jacobian calculation
  
     } // End of loop over time period integration points
   }

References dshape_and_dtest_eulerian_at_knot_orbit(), oomph::GeneralisedElement::eqn_number(), oomph::PeriodicOrbitAssemblyHandlerBase::get_dofs_for_element(), oomph::PeriodicOrbitBaseElement::get_inner_product_matrix(), oomph::GeneralisedElement::get_jacobian_and_mass_matrix(), oomph::PeriodicOrbitBaseElement::get_non_external_ddofs_dt(), oomph::PeriodicOrbitBaseElement::get_non_external_dofs(), oomph::PeriodicOrbitAssemblyHandlerBase::get_previous_dofs_for_element(), oomph::GeneralisedElement::get_residuals(), i, oomph::FiniteElement::integral_pt(), J, j, oomph::GeneralisedElement::ndof(), oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_local_eqn(), Ntstorage, oomph::Integral::nweight(), omega(), oomph::FiniteElement::raw_nodal_position(), oomph::DenseMatrix< T >::resize(), oomph::PeriodicOrbitAssemblyHandlerBase::set_dofs_for_element(), set_timestepper_weights(), Eigen::test, oomph::Time::time(), time_pt(), w, oomph::QuadTreeNames::W, and oomph::Integral::weight().

Referenced by fill_in_contribution_to_integrated_jacobian(), and fill_in_contribution_to_integrated_residuals().

◆ omega()

double oomph::PeriodicOrbitEquations::omega ( )

inline

Return the frequency.

     {
       return *Omega_pt;
     }

References Omega_pt.

Referenced by fill_in_generic_residual_contribution_orbit(), orbit_output(), and set_timestepper_weights().

◆ omega_pt()

double*& oomph::PeriodicOrbitEquations::omega_pt ( )

inline

Broken assignment operator.

Set the pointer to the frequency

     {
       return Omega_pt;
     }

References Omega_pt.

Referenced by oomph::PeriodicOrbitAssemblyHandler< NNODE_1D >::adapt_temporal_mesh().

◆ orbit_output()

void oomph::PeriodicOrbitEquations::orbit_output	(	GeneralisedElement *const &	elem_pt,
		std::ostream &	outfile,
		const unsigned &	n_plot
	)

   {
     // Find out how many nodes there are
     const unsigned n_node = nnode();
  
     // Set up memory for the shape and test functions
     Shape psi(n_node);
     DShape dpsidt(n_node, 1);
  
     Vector<double> s(1);
  
     // Cast the element
     PeriodicOrbitBaseElement* const base_el_pt =
       dynamic_cast<PeriodicOrbitBaseElement*>(elem_pt);
  
     const double inverse_timescale = this->omega();
  
     // Loop over the plot point
     for (unsigned i = 0; i < n_plot; i++)
     {
       // Get the coordinate
       s[0] = -1.0 + 2.0 * i / ((double)(n_plot - 1));
  
       (void)dshape_eulerian(s, psi, dpsidt);
  
       // Sort out the timestepper weights and the time in here
       // Calculate the time
       double interpolated_time = 0.0;
       for (unsigned l = 0; l < n_node; l++)
       {
         interpolated_time += raw_nodal_position(l, 0) * psi(l);
       }
  
  
       // Need to multiply by period and the set global time
       this->time_pt()->time() = interpolated_time;
  
       // Set the weights of the timestepper
       this->set_timestepper_weights(psi, dpsidt);
  
       base_el_pt->spacetime_output(
         outfile, n_plot, interpolated_time / inverse_timescale);
     }
   }

References oomph::FiniteElement::dshape_eulerian(), i, oomph::FiniteElement::nnode(), omega(), oomph::FiniteElement::raw_nodal_position(), s, set_timestepper_weights(), oomph::PeriodicOrbitBaseElement::spacetime_output(), oomph::Time::time(), and time_pt().

◆ set_ntstorage()

void oomph::PeriodicOrbitEquations::set_ntstorage ( const unsigned & n_tstorage )

inline

Set the total number of time storage values.

     {
       Ntstorage = n_tstorage;
     }

References Ntstorage.

Referenced by oomph::PeriodicOrbitAssemblyHandler< NNODE_1D >::adapt_temporal_mesh().

◆ set_timestepper_weights()

void oomph::PeriodicOrbitEquations::set_timestepper_weights	(	const Shape &	psi,
		const DShape &	dpsidt
	)

inlineprotected

Set the timestepper weights.

     {
       PeriodicOrbitTimeDiscretisation* cast_time_stepper_pt =
         dynamic_cast<PeriodicOrbitTimeDiscretisation*>(time_stepper_pt());
  
  
       // Zero the timestepper weights
       unsigned n_time_dof = cast_time_stepper_pt->ntstorage();
       for (unsigned i = 0; i < n_time_dof; i++)
       {
         cast_time_stepper_pt->Weight(0, i) = 0.0;
         cast_time_stepper_pt->Weight(1, i) = 0.0;
       }
  
       // Cache the frequency (timescale)
       const double inverse_timescale = this->omega();
       // Now set the weights
       const unsigned n_node = this->nnode();
  
       // Global equation for the total number of time unknowns
       // in the problem
       int global_eqn;
       for (unsigned l = 0; l < n_node; l++)
       {
         global_eqn = this->eqn_number(this->nodal_local_eqn(l, 0));
         cast_time_stepper_pt->Weight(0, global_eqn) = psi(l);
         cast_time_stepper_pt->Weight(1, global_eqn) =
           dpsidt(l, 0) * inverse_timescale;
       }
     }

References oomph::GeneralisedElement::eqn_number(), i, oomph::FiniteElement::nnode(), oomph::FiniteElement::nodal_local_eqn(), oomph::TimeStepper::ntstorage(), omega(), oomph::GeomObject::time_stepper_pt(), and oomph::TimeStepper::Weight.

Referenced by fill_in_generic_residual_contribution_orbit(), and orbit_output().

◆ time()

double oomph::PeriodicOrbitEquations::time ( ) const

inline

Return the global time, accessed via the time pointer.

     {
       // If no Time_pt, return 0.0
       if (Time_pt == 0)
       {
         return 0.0;
       }
       else
       {
         return Time_pt->time();
       }
     }

References oomph::Time::time(), and Time_pt.

◆ time_pt() [1/2]

Time*& oomph::PeriodicOrbitEquations::time_pt ( )

inline

Retun the pointer to the global time.

     {
       return Time_pt;
     }

References Time_pt.

Referenced by oomph::PeriodicOrbitAssemblyHandler< NNODE_1D >::adapt_temporal_mesh(), fill_in_generic_residual_contribution_orbit(), and orbit_output().

◆ time_pt() [2/2]

Time* const& oomph::PeriodicOrbitEquations::time_pt ( ) const

inline

Return the pointer to the global time (const version)

     {
       return Time_pt;
     }

References Time_pt.

Member Data Documentation

◆ Ntstorage

unsigned oomph::PeriodicOrbitEquations::Ntstorage

private

Referenced by fill_in_generic_residual_contribution_orbit(), and set_ntstorage().

◆ Omega_pt

double* oomph::PeriodicOrbitEquations::Omega_pt

private

Referenced by omega(), and omega_pt().

◆ Time_pt

Time* oomph::PeriodicOrbitEquations::Time_pt

private

Pointer to global time.

Referenced by time(), and time_pt().

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

Public Member Functions

Protected Member Functions

Private Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ PeriodicOrbitEquations() [1/2]

◆ PeriodicOrbitEquations() [2/2]

Member Function Documentation

◆ dshape_and_dtest_eulerian_at_knot_orbit()

◆ dshape_and_dtest_eulerian_orbit()

◆ fill_in_contribution_to_integrated_jacobian()

◆ fill_in_contribution_to_integrated_residuals()

◆ fill_in_generic_residual_contribution_orbit()

◆ omega()

◆ omega_pt()

◆ orbit_output()

◆ set_ntstorage()

◆ set_timestepper_weights()

◆ time()

◆ time_pt() [1/2]

◆ time_pt() [2/2]

Member Data Documentation

◆ Ntstorage

◆ Omega_pt

◆ Time_pt