#include <beam_elements.h>

Inheritance diagram for oomph::HermiteBeamElement:

Public Member Functions
	HermiteBeamElement ()
	Constructor (empty) More...

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

void	output (std::ostream &outfile, const unsigned &n_plot)
	Output function with specified number of plot points. More...

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

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

void	output (FILE *file_pt, const unsigned &n_plot)
	C-style output function with specified number of plot points. More...

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

Public Member Functions inherited from oomph::SolidQHermiteElement< 1 >
	SolidQHermiteElement ()
	Constructor. More...

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

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

void	output (std::ostream &outfile)
	Overload the output function. More...

void	output (std::ostream &outfile, const unsigned &n_plot)
	Output at n_plot points. More...

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

void	output (FILE *file_pt, const unsigned &n_plot)
	C_style output at n_plot points. More...

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

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

void	output (std::ostream &outfile, const unsigned &n_p)
	The output function for any number of points per element. More...

void	output (FILE *file_pt, const unsigned &n_plot)
	The C-style output function for any number of points per element. More...

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

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

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

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

bool	local_coord_is_valid (const Vector< double > &s)
	Check whether the local coordinate are valid or not. More...

void	move_local_coord_back_into_element (Vector< double > &s) const

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

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

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

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

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

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

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

void	local_coordinate_of_node (const unsigned &j, Vector< double > &s) const
	Get local coordinates of node j in the element; vector sets its own size. More...

void	local_fraction_of_node (const unsigned &j, Vector< double > &s_fraction)
	Get local fraction of node j in the element; vector sets its own size. More...

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

unsigned	nnode_1d () const
	Return number of nodes along each element edge. More...

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

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

unsigned	nplot_points (const unsigned &nplot) const

void	shape (const Vector< double > &s, Shape &psi) const
	Shape function for specific QHermiteElement<1> More...

void	dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const
	Derivatives of shape functions for specific QHermiteElement<1> More...

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

void	shape (const Vector< double > &s, Shape &psi) const
	Shape function for specific QHermiteElement<2> More...

void	dshape_local (const Vector< double > &s, Shape &psi, DShape &dpsids) const
	Derivatives of shape functions for specific QHermiteElement<2> More...

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

void	get_s_plot (const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &use_equally_spaced_interior_sample_points) const

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

unsigned	nplot_points (const unsigned &nplot) const

void	get_s_plot (const unsigned &i, const unsigned &nplot, Vector< double > &s, const bool &use_equally_spaced_interior_sample_points) const

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

unsigned	nplot_points (const unsigned &nplot) const

Public Member Functions inherited from oomph::QHermiteElementBase
	QHermiteElementBase ()
	Empty default constructor. More...

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

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

Public Member Functions inherited from oomph::QElementGeometricBase
	QElementGeometricBase ()
	Empty default constructor. More...

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

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

void	set_nodal_dimension (const unsigned &nodal_dim)

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

void	set_n_node (const unsigned &n)

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

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

	FiniteElement ()
	Constructor. More...

virtual	~FiniteElement ()

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

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

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_at_knot (const unsigned &ipt, Shape &psi) const

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

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

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

virtual double	J_eulerian_at_knot (const unsigned &ipt) const

void	check_J_eulerian_at_knots (bool &passed) const

void	check_jacobian (const double &jacobian) const

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

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

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

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

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

virtual void	assign_nodal_local_eqn_numbers (const bool &store_local_dof_pt)

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

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

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

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

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

int	get_node_number (Node *const &node_pt) const

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

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

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

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

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

unsigned	dim () const

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

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

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

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

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

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

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

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

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

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

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

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

virtual void	node_update ()

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

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_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	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 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 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 unsigned	ndof_types () const

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

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

	GeomObject (const unsigned &ndim)

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

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

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

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

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

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

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

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

TimeStepper *&	time_stepper_pt ()

TimeStepper *	time_stepper_pt () const

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

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

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

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

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

virtual bool	has_internal_solid_data ()

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

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

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

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

Data *	geom_data_pt (const unsigned &j)

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

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::KirchhoffLoveBeamEquations
	KirchhoffLoveBeamEquations ()

virtual void	load_vector (const unsigned &intpt, const Vector< double > &xi, const Vector< double > &x, const Vector< double > &N, Vector< double > &load)

void	wall_profile (const Vector< double > &xi, const Vector< double > &x, double &h_ratio)

const double &	h () const
	Return the non-dimensional wall thickness. More...

const double &	lambda_sq () const
	Return the timescale ratio (non-dimensional density) More...

const double &	sigma0 () const
	Return the axial prestress. More...

double *&	sigma0_pt ()
	Return a pointer to axial prestress. More...

double *&	h_pt ()
	Return a pointer to non-dim. wall thickness. More...

double *&	lambda_sq_pt ()
	Return a pointer to timescale ratio (nondim density) More...

GeomObject *&	undeformed_beam_pt ()

void	get_normal (const Vector< double > &s, Vector< double > &N)
	Get normal vector on wall. More...

void	get_normal (const Vector< double > &s, Vector< double > &r, Vector< double > &N)
	Get position vector to and normal vector on wall. More...

void	get_non_unit_tangent (const Vector< double > &s, Vector< double > &r, Vector< double > &drds)
	Get position vector to and non-unit tangent vector on wall: dr/ds. More...

void	fill_in_contribution_to_residuals (Vector< double > &residuals)

void	fill_in_contribution_to_residuals_beam (Vector< double > &residuals)

virtual void	fill_in_contribution_to_jacobian (Vector< double > &residuals, DenseMatrix< double > &jacobian)
	Get FE jacobian and residuals (Jacobian done by finite differences) More...

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

void	get_energy (double &stretch, double &bend, double &kin_en)

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

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

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

Public Attributes inherited from oomph::KirchhoffLoveBeamEquations
void(*&)(const Vector< double > &xi, const Vector< double > &x, const Vector< double > &N, Vector< double > &load)	load_vector_fct_pt ()
	Reference to the load vector function pointer. More...

void(*&)(const Vector< double > &xi, const Vector< double > &x, double &h_ratio)	wall_profile_fct_pt ()
	Reference to the wall thickness ratio profile function pointer. 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::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	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

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

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

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

void	fill_in_jacobian_from_nodal_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_nodal_fd ()

virtual void	reset_after_nodal_fd ()

virtual void	update_in_nodal_fd (const unsigned &i)

virtual void	reset_in_nodal_fd (const unsigned &i)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

bool	internal_data_fd (const unsigned &i) const

void	exclude_internal_data_fd (const unsigned &i)

void	include_internal_data_fd (const unsigned &i)

void	clear_global_eqn_numbers ()

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

virtual void	assign_internal_and_external_local_eqn_numbers (const bool &store_local_dof_pt)

virtual void	assign_additional_local_eqn_numbers ()

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

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

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

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

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

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

virtual void	update_before_internal_fd ()

virtual void	reset_after_internal_fd ()

virtual void	update_in_internal_fd (const unsigned &i)

virtual void	reset_in_internal_fd (const unsigned &i)

virtual void	update_before_external_fd ()

virtual void	reset_after_external_fd ()

virtual void	update_in_external_fd (const unsigned &i)

virtual void	reset_in_external_fd (const unsigned &i)

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

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

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

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

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

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

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

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

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

void	set_nnodal_lagrangian_type (const unsigned &nlagrangian_type)

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

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

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

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

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

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

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

void	fill_in_jacobian_from_solid_position_by_fd (DenseMatrix< double > &jacobian)

virtual void	update_before_solid_position_fd ()

virtual void	reset_after_solid_position_fd ()

virtual void	update_in_solid_position_fd (const unsigned &i)

virtual void	reset_in_solid_position_fd (const unsigned &i)

Static Protected Member Functions inherited from oomph::KirchhoffLoveBeamEquations
static void	Zero_traction_fct (const Vector< double > &xi, const Vector< double > &x, const Vector< double > &N, Vector< double > &load)
	Default load function (zero traction) More...

static void	Unit_profile_fct (const Vector< double > &xi, const Vector< double > &x, double &h_ratio)
	Default profile function (constant thickness 'h_0') More...

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::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::KirchhoffLoveBeamEquations
void(*	Load_vector_fct_pt )(const Vector< double > &xi, const Vector< double > &x, const Vector< double > &N, Vector< double > &load)

void(*	Wall_profile_fct_pt )(const Vector< double > &xi, const Vector< double > &x, double &h_ratio)

GeomObject *	Undeformed_beam_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

Detailed Description

Hermite Kirchhoff Love beam. Implements KirchhoffLoveBeamEquations using 2-node Hermite elements as the underlying geometrical elements.

Constructor & Destructor Documentation

◆ HermiteBeamElement()

oomph::HermiteBeamElement::HermiteBeamElement ( )

inline

Constructor (empty)

       : SolidQHermiteElement<1>(), KirchhoffLoveBeamEquations()
     {
       // Set the number of dimensions at each node (2D node on 1D surface)
       set_nodal_dimension(2);
     }

References oomph::FiniteElement::set_nodal_dimension().

Member Function Documentation

◆ output() [1/6]

void oomph::HermiteBeamElement::output	(	const unsigned &	t,
		FILE *	file_pt,
		const unsigned &	n_plot
	)		const

C-style output at previous time (t=0: present; t>0: previous) with specified number of plot points

C-style output position at previous time (t=0: present; t>0: previous) with specified number of plot points.

   {
 #ifdef WARN_ABOUT_SUBTLY_CHANGED_OOMPH_INTERFACES
     // Warn about time argument being moved to the front
     OomphLibWarning(
       "Order of function arguments has changed between versions 0.8 and 0.85",
       "HermiteBeamElement::output(...)",
       OOMPH_EXCEPTION_LOCATION);
 #endif
  
     // Local variables
     Vector<double> s(1);
  
     // Tecplot header info
     // outfile << "ZONE I=" << n_plot << std::endl;
     fprintf(file_pt, "ZONE I=%i \n", n_plot);
  
     // Find the dimension of the first node
     unsigned n_dim = this->node_pt(0)->ndim();
  
     // Loop over plot points
     for (unsigned l = 0; l < n_plot; l++)
     {
       s[0] = -1.0 + l * 2.0 / (n_plot - 1);
  
       // Output the Eulerian coordinates
       for (unsigned i = 0; i < n_dim; i++)
       {
         // outfile << interpolated_x(s,t,i) << " " ;
         fprintf(file_pt, "%g ", interpolated_x(t, s, i));
       }
       // outfile << std::endl;
       fprintf(file_pt, "\n");
     }
   }

References i, oomph::FiniteElement::interpolated_x(), oomph::Node::ndim(), oomph::FiniteElement::node_pt(), OOMPH_EXCEPTION_LOCATION, s, and plotPSD::t.

◆ output() [2/6]

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

virtual

Output at previous time (t=0: present; t>0: previous) with specified number of plot points

Output position at previous time (t=0: present; t>0: previous) with specified number of plot points.

Reimplemented from oomph::FiniteElement.

   {
 #ifdef WARN_ABOUT_SUBTLY_CHANGED_OOMPH_INTERFACES
     // Warn about time argument being moved to the front
     OomphLibWarning(
       "Order of function arguments has changed between versions 0.8 and 0.85",
       "HermiteBeamElement::output(...)",
       OOMPH_EXCEPTION_LOCATION);
 #endif
  
     // Local variables
     Vector<double> s(1);
  
     // Tecplot header info
     outfile << "ZONE I=" << n_plot << std::endl;
  
     // Find the dimension of the first node
     unsigned n_dim = this->node_pt(0)->ndim();
  
     // Loop over plot points
     for (unsigned l = 0; l < n_plot; l++)
     {
       s[0] = -1.0 + l * 2.0 / (n_plot - 1);
  
       // Output the Eulerian coordinates
       for (unsigned i = 0; i < n_dim; i++)
       {
         outfile << interpolated_x(t, s, i) << " ";
       }
       outfile << std::endl;
     }
   }

References i, oomph::FiniteElement::interpolated_x(), oomph::Node::ndim(), oomph::FiniteElement::node_pt(), OOMPH_EXCEPTION_LOCATION, s, and plotPSD::t.

◆ output() [3/6]

void oomph::HermiteBeamElement::output ( FILE * file_pt )

virtual

C-style output function.

Reimplemented from oomph::FiniteElement.

   {
     unsigned n_plot = 5;
     output(file_pt, n_plot);
   }

References output().

◆ output() [4/6]

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

virtual

C-style output function with specified number of plot points.

Output function.

Reimplemented from oomph::FiniteElement.

   {
     // Local variables
     Vector<double> s(1);
  
     // Tecplot header info
     // outfile << "ZONE I=" << n_plot << std::endl;
     fprintf(file_pt, "ZONE I=%i \n", n_plot);
  
     // Set the number of lagrangian coordinates
     unsigned n_lagrangian = Undeformed_beam_pt->nlagrangian();
  
     // Set the dimension of the global coordinates
     unsigned n_dim = Undeformed_beam_pt->ndim();
  
     // Find out how many nodes there are
     unsigned n_node = nnode();
  
     // Find out how many positional dofs there are
     unsigned n_position_dofs = nnodal_position_type();
  
     Vector<double> veloc(n_dim);
     Vector<double> accel(n_dim);
     Vector<double> posn(n_dim);
  
     // # of nodes, # of positional dofs
     Shape psi(n_node, n_position_dofs);
  
     // Loop over element plot points
     for (unsigned l1 = 0; l1 < n_plot; l1++)
     {
       s[0] = -1.0 + l1 * 2.0 / (n_plot - 1);
  
       // Get shape functions
       shape(s, psi);
  
       Vector<double> interpolated_xi(n_lagrangian);
       interpolated_xi[0] = 0.0;
  
       // Loop over coordinate directions/components of Vector
       for (unsigned i = 0; i < n_dim; i++)
       {
         // Initialise acclerations and veloc
         accel[i] = 0.0;
         veloc[i] = 0.0;
         posn[i] = 0.0;
       }
  
  
       // Calculate displacements, accelerations and spatial derivatives
       for (unsigned l = 0; l < n_node; l++)
       {
         // Loop over positional dofs
         for (unsigned k = 0; k < n_position_dofs; k++)
         {
           // Loop over Lagrangian coordinate directions [xi_gen[] are the
           // the *gen*eralised Lagrangian coordinates: node, type, direction]
           for (unsigned i = 0; i < n_lagrangian; i++)
           {
             interpolated_xi[i] +=
               raw_lagrangian_position_gen(l, k, i) * psi(l, k);
           }
  
           // Loop over components of the deformed position Vector
           for (unsigned i = 0; i < n_dim; i++)
           {
             accel[i] += raw_dnodal_position_gen_dt(2, l, k, i) * psi(l, k);
             veloc[i] += raw_dnodal_position_gen_dt(1, l, k, i) * psi(l, k);
             posn[i] += raw_dnodal_position_gen_dt(0, l, k, i) * psi(l, k);
           }
         }
       }
  
       double scalar_accel = 0.0;
       double scalar_veloc = 0.0;
       double scalar_posn = 0.0;
  
       // Output position etc.
       for (unsigned i = 0; i < n_dim; i++)
       {
         // outfile << posn[i] << " " ;
         fprintf(file_pt, "%g ", posn[i]);
         scalar_posn += pow(posn[i], 2);
       }
       // outfile << interpolated_xi[0] << " ";
       fprintf(file_pt, "%g ", interpolated_xi[0]);
       for (unsigned i = 0; i < n_dim; i++)
       {
         // outfile << veloc[i] << " " ;
         fprintf(file_pt, "%g ", veloc[i]);
         scalar_veloc += pow(veloc[i], 2);
       }
       for (unsigned i = 0; i < n_dim; i++)
       {
         // outfile << accel[i] << " " ;
         fprintf(file_pt, "%g ", accel[i]);
         scalar_accel += pow(accel[i], 2);
       }
       // outfile << sqrt(scalar_posn)  << " ";
       fprintf(file_pt, "%g ", sqrt(scalar_posn));
       // outfile << sqrt(scalar_veloc) << " ";
       fprintf(file_pt, "%g ", sqrt(scalar_veloc));
       // outfile << sqrt(scalar_accel) << " ";
       fprintf(file_pt, "%g ", sqrt(scalar_accel));
       // outfile << std::endl;
       fprintf(file_pt, "\n");
     }
   }

References i, oomph::SolidFiniteElement::interpolated_xi(), k, oomph::GeomObject::ndim(), oomph::GeomObject::nlagrangian(), oomph::FiniteElement::nnodal_position_type(), oomph::FiniteElement::nnode(), Eigen::bfloat16_impl::pow(), oomph::FiniteElement::raw_dnodal_position_gen_dt(), oomph::SolidFiniteElement::raw_lagrangian_position_gen(), s, oomph::QHermiteElement< DIM >::shape(), sqrt(), and oomph::KirchhoffLoveBeamEquations::Undeformed_beam_pt.

◆ output() [5/6]

void oomph::HermiteBeamElement::output ( std::ostream & outfile )

virtual

Output function.

Reimplemented from oomph::FiniteElement.

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

Referenced by output().

◆ output() [6/6]

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

virtual

Output function with specified number of plot points.

Output function.

Reimplemented from oomph::FiniteElement.

   {
     // Local variables
     Vector<double> s(1);
  
     // Tecplot header info
     outfile << "ZONE I=" << n_plot << std::endl;
  
     // Set the number of lagrangian coordinates
     unsigned n_lagrangian = Undeformed_beam_pt->nlagrangian();
  
     // Set the dimension of the global coordinates
     unsigned n_dim = Undeformed_beam_pt->ndim();
  
     // Find out how many nodes there are
     unsigned n_node = nnode();
  
     // Find out how many positional dofs there are
     unsigned n_position_dofs = nnodal_position_type();
  
     Vector<double> veloc(n_dim);
     Vector<double> accel(n_dim);
     Vector<double> posn(n_dim);
  
     // # of nodes, # of positional dofs
     Shape psi(n_node, n_position_dofs);
  
     // Loop over element plot points
     for (unsigned l1 = 0; l1 < n_plot; l1++)
     {
       s[0] = -1.0 + l1 * 2.0 / (n_plot - 1);
  
       // Get shape functions
       shape(s, psi);
  
       Vector<double> interpolated_xi(n_lagrangian);
       interpolated_xi[0] = 0.0;
  
       // Loop over coordinate directions/components of Vector
       for (unsigned i = 0; i < n_dim; i++)
       {
         // Initialise acclerations and veloc
         accel[i] = 0.0;
         veloc[i] = 0.0;
         posn[i] = 0.0;
       }
  
  
       // Calculate displacements, accelerations and spatial derivatives
       for (unsigned l = 0; l < n_node; l++)
       {
         // Loop over positional dofs
         for (unsigned k = 0; k < n_position_dofs; k++)
         {
           // Loop over Lagrangian coordinate directions [xi_gen[] are the
           // the *gen*eralised Lagrangian coordinates: node, type, direction]
           for (unsigned i = 0; i < n_lagrangian; i++)
           {
             interpolated_xi[i] +=
               raw_lagrangian_position_gen(l, k, i) * psi(l, k);
           }
  
           // Loop over components of the deformed position Vector
           for (unsigned i = 0; i < n_dim; i++)
           {
             accel[i] += raw_dnodal_position_gen_dt(2, l, k, i) * psi(l, k);
             veloc[i] += raw_dnodal_position_gen_dt(1, l, k, i) * psi(l, k);
             posn[i] += raw_dnodal_position_gen_dt(0, l, k, i) * psi(l, k);
           }
         }
       }
  
       double scalar_accel = 0.0;
       double scalar_veloc = 0.0;
       double scalar_posn = 0.0;
  
       // Output position etc.
       for (unsigned i = 0; i < n_dim; i++)
       {
         outfile << posn[i] << " ";
         scalar_posn += pow(posn[i], 2);
       }
       outfile << interpolated_xi[0] << " ";
       for (unsigned i = 0; i < n_dim; i++)
       {
         outfile << veloc[i] << " ";
         scalar_veloc += pow(veloc[i], 2);
       }
       for (unsigned i = 0; i < n_dim; i++)
       {
         outfile << accel[i] << " ";
         scalar_accel += pow(accel[i], 2);
       }
       outfile << sqrt(scalar_posn) << " ";
       outfile << sqrt(scalar_veloc) << " ";
       outfile << sqrt(scalar_accel) << " ";
       outfile << std::endl;
     }
   }

References i, oomph::SolidFiniteElement::interpolated_xi(), k, oomph::GeomObject::ndim(), oomph::GeomObject::nlagrangian(), oomph::FiniteElement::nnodal_position_type(), oomph::FiniteElement::nnode(), Eigen::bfloat16_impl::pow(), oomph::FiniteElement::raw_dnodal_position_gen_dt(), oomph::SolidFiniteElement::raw_lagrangian_position_gen(), s, oomph::QHermiteElement< DIM >::shape(), sqrt(), and oomph::KirchhoffLoveBeamEquations::Undeformed_beam_pt.

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

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ HermiteBeamElement()

Member Function Documentation

◆ output() [1/6]

◆ output() [2/6]

◆ output() [3/6]

◆ output() [4/6]

◆ output() [5/6]

◆ output() [6/6]