FlatPlateMesh< ELEMENT > Class Template Reference

Inheritance diagram for FlatPlateMesh< ELEMENT >:

Public Member Functions
	FlatPlateMesh (const unsigned &nx, const unsigned &ny, const double &lx, const double &ly, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
	Constructor for the mesh. More...
void	assign_undeformed_positions (GeomObject *const &undeformed_midplane_pt)
	Set the undeformed coordinates of the nodes. More...
Public Member Functions inherited from oomph::RectangularQuadMesh< ELEMENT >
	RectangularQuadMesh (const unsigned &nx, const unsigned &ny, const double &lx, const double &ly, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
	RectangularQuadMesh (const unsigned &nx, const unsigned &ny, const double &xmin, const double &xmax, const double &ymin, const double &ymax, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
	RectangularQuadMesh (const unsigned &nx, const unsigned &ny, const double &lx, const double &ly, const bool &periodic_in_x, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
	RectangularQuadMesh (const unsigned &nx, const unsigned &ny, const double &xmin, const double &xmax, const double &ymin, const double &ymax, const bool &periodic_in_x, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
const unsigned &	nx () const
	Return number of elements in x direction. More...
const unsigned &	ny () const
	Return number of elements in y direction. More...
const double	x_min () const
	Return the minimum value of x coordinate. More...
const double	x_max () const
	Return the maximum value of x coordinate. More...
const double	y_min () const
	Return the minimum value of y coordinate. More...
const double	y_max () const
	Return the maximum value of y coordinate. More...
virtual void	element_reorder ()
virtual double	x_spacing_function (unsigned xelement, unsigned xnode, unsigned yelement, unsigned ynode)
virtual double	y_spacing_function (unsigned xelement, unsigned xnode, unsigned yelement, unsigned ynode)
Public Member Functions inherited from oomph::QuadMeshBase
	QuadMeshBase ()
	Constructor (empty) More...
	QuadMeshBase (const QuadMeshBase &node)=delete
	Broken copy constructor. More...
void	operator= (const QuadMeshBase &)=delete
	Broken assignment operator. More...
virtual	~QuadMeshBase ()
	Destructor (empty) More...
void	setup_boundary_element_info ()
void	setup_boundary_element_info (std::ostream &outfile)
Public Member Functions inherited from oomph::Mesh
	Mesh ()
	Default constructor. More...
	Mesh (const Vector< Mesh * > &sub_mesh_pt)
void	merge_meshes (const Vector< Mesh * > &sub_mesh_pt)
virtual void	reset_boundary_element_info (Vector< unsigned > &ntmp_boundary_elements, Vector< Vector< unsigned >> &ntmp_boundary_elements_in_region, Vector< FiniteElement * > &deleted_elements)
	Virtual function to perform the reset boundary elements info rutines. More...
template<class BULK_ELEMENT >
void	doc_boundary_coordinates (const unsigned &b, std::ofstream &the_file)
	Mesh (const Mesh &dummy)=delete
	Broken copy constructor. More...
void	operator= (const Mesh &)=delete
	Broken assignment operator. More...
virtual	~Mesh ()
	Virtual Destructor to clean up all memory. More...
void	flush_element_and_node_storage ()
void	flush_element_storage ()
void	flush_node_storage ()
Node *&	node_pt (const unsigned long &n)
	Return pointer to global node n. More...
Node *	node_pt (const unsigned long &n) const
	Return pointer to global node n (const version) More...
GeneralisedElement *&	element_pt (const unsigned long &e)
	Return pointer to element e. More...
GeneralisedElement *	element_pt (const unsigned long &e) const
	Return pointer to element e (const version) More...
const Vector< GeneralisedElement * > &	element_pt () const
	Return reference to the Vector of elements. More...
Vector< GeneralisedElement * > &	element_pt ()
	Return reference to the Vector of elements. More...
FiniteElement *	finite_element_pt (const unsigned &e) const
Node *&	boundary_node_pt (const unsigned &b, const unsigned &n)
	Return pointer to node n on boundary b. More...
Node *	boundary_node_pt (const unsigned &b, const unsigned &n) const
	Return pointer to node n on boundary b. More...
void	set_nboundary (const unsigned &nbound)
	Set the number of boundaries in the mesh. More...
void	remove_boundary_nodes ()
	Clear all pointers to boundary nodes. More...
void	remove_boundary_nodes (const unsigned &b)
void	remove_boundary_node (const unsigned &b, Node *const &node_pt)
	Remove a node from the boundary b. More...
void	add_boundary_node (const unsigned &b, Node *const &node_pt)
	Add a (pointer to) a node to the b-th boundary. More...
void	copy_boundary_node_data_from_nodes ()
bool	boundary_coordinate_exists (const unsigned &i) const
	Indicate whether the i-th boundary has an intrinsic coordinate. More...
unsigned long	nelement () const
	Return number of elements in the mesh. More...
unsigned long	nnode () const
	Return number of nodes in the mesh. More...
unsigned	ndof_types () const
	Return number of dof types in mesh. More...
unsigned	elemental_dimension () const
	Return number of elemental dimension in mesh. More...
unsigned	nodal_dimension () const
	Return number of nodal dimension in mesh. More...
void	add_node_pt (Node *const &node_pt)
	Add a (pointer to a) node to the mesh. More...
void	add_element_pt (GeneralisedElement *const &element_pt)
	Add a (pointer to) an element to the mesh. More...
virtual void	node_update (const bool &update_all_solid_nodes=false)
virtual void	reorder_nodes (const bool &use_old_ordering=true)
virtual void	get_node_reordering (Vector< Node * > &reordering, const bool &use_old_ordering=true) const
template<class BULK_ELEMENT , template< class > class FACE_ELEMENT>
void	build_face_mesh (const unsigned &b, Mesh *const &face_mesh_pt)
unsigned	self_test ()
	Self-test: Check elements and nodes. Return 0 for OK. More...
void	max_and_min_element_size (double &max_size, double &min_size)
double	total_size ()
void	check_inverted_elements (bool &mesh_has_inverted_elements, std::ofstream &inverted_element_file)
void	check_inverted_elements (bool &mesh_has_inverted_elements)
unsigned	check_for_repeated_nodes (const double &epsilon=1.0e-12)
Vector< Node * >	prune_dead_nodes ()
unsigned	nboundary () const
	Return number of boundaries. More...
unsigned long	nboundary_node (const unsigned &ibound) const
	Return number of nodes on a particular boundary. More...
FiniteElement *	boundary_element_pt (const unsigned &b, const unsigned &e) const
	Return pointer to e-th finite element on boundary b. More...
Node *	get_some_non_boundary_node () const
unsigned	nboundary_element (const unsigned &b) const
	Return number of finite elements that are adjacent to boundary b. More...
int	face_index_at_boundary (const unsigned &b, const unsigned &e) const
virtual void	dump (std::ofstream &dump_file, const bool &use_old_ordering=true) const
	Dump the data in the mesh into a file for restart. More...
void	dump (const std::string &dump_file_name, const bool &use_old_ordering=true) const
	Dump the data in the mesh into a file for restart. More...
virtual void	read (std::ifstream &restart_file)
	Read solution from restart file. More...
void	output_paraview (std::ofstream &file_out, const unsigned &nplot) const
void	output_fct_paraview (std::ofstream &file_out, const unsigned &nplot, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt) const
void	output_fct_paraview (std::ofstream &file_out, const unsigned &nplot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt) const
void	output (std::ostream &outfile)
	Output for all elements. More...
void	output (std::ostream &outfile, const unsigned &n_plot)
	Output at f(n_plot) points in each element. More...
void	output (FILE *file_pt)
	Output for all elements (C-style output) More...
void	output (FILE *file_pt, const unsigned &nplot)
	Output at f(n_plot) points in each element (C-style output) More...
void	output (const std::string &output_filename)
	Output for all elements. More...
void	output (const std::string &output_filename, const unsigned &n_plot)
	Output at f(n_plot) points in each element. More...
void	output_fct (std::ostream &outfile, const unsigned &n_plot, FiniteElement::SteadyExactSolutionFctPt)
	Output a given Vector function at f(n_plot) points in each element. More...
void	output_fct (std::ostream &outfile, const unsigned &n_plot, const double &time, FiniteElement::UnsteadyExactSolutionFctPt)
void	output_boundaries (std::ostream &outfile)
	Output the nodes on the boundaries (into separate tecplot zones) More...
void	output_boundaries (const std::string &output_filename)
void	assign_initial_values_impulsive ()
	Assign initial values for an impulsive start. More...
void	shift_time_values ()
void	calculate_predictions ()
void	set_nodal_and_elemental_time_stepper (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)
virtual void	set_mesh_level_time_stepper (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)
void	set_consistent_pinned_values_for_continuation (ContinuationStorageScheme *const &continuation_stepper_pt)
	Set consistent values for pinned data in continuation. More...
bool	does_pointer_correspond_to_mesh_data (double *const &parameter_pt)
	Does the double pointer correspond to any mesh data. More...
void	set_nodal_time_stepper (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)
	Set the timestepper associated with the nodal data in the mesh. More...
void	set_elemental_internal_time_stepper (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data)
virtual void	compute_norm (double &norm)
virtual void	compute_norm (Vector< 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, double &error, double &norm)
virtual void	compute_error (FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, double &error, double &norm)
virtual void	compute_error (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_error (std::ostream &outfile, FiniteElement::SteadyExactSolutionFctPt exact_soln_pt, Vector< double > &error, Vector< double > &norm)
virtual void	compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, double &error, double &norm)
	Returns the norm of the error and that of the exact solution. More...
virtual void	compute_error (FiniteElement::UnsteadyExactSolutionFctPt exact_soln_pt, const double &time, Vector< double > &error, Vector< double > &norm)
bool	is_mesh_distributed () const
	Boolean to indicate if Mesh has been distributed. More...
OomphCommunicator *	communicator_pt () const
void	delete_all_external_storage ()
	Wipe the storage for all externally-based elements. More...
Public Member Functions inherited from oomph::SolidMesh
	SolidMesh ()
	Default constructor. More...
	SolidMesh (const SolidMesh &dummy)=delete
	Broken copy constructor. More...
void	operator= (const SolidMesh &)=delete
	Broken assignment operator. More...
	SolidMesh (const Vector< SolidMesh * > &sub_mesh_pt)
SolidNode *	node_pt (const unsigned long &n)
	Return a pointer to the n-th global SolidNode. More...
SolidNode *	boundary_node_pt (const unsigned &b, const unsigned &n)
	Return n-th SolidNodes on b-th boundary. More...
SolidNode *	element_node_pt (const unsigned long &e, const unsigned &n)
void	set_lagrangian_nodal_coordinates ()
void	scale_mesh (const double &factor)

Additional Inherited Members
Public Types inherited from oomph::Mesh
typedef void(FiniteElement::*	SteadyExactSolutionFctPt) (const Vector< double > &x, Vector< double > &soln)
typedef void(FiniteElement::*	UnsteadyExactSolutionFctPt) (const double &time, const Vector< double > &x, Vector< double > &soln)
Static Public Attributes inherited from oomph::Mesh
static Steady< 0 >	Default_TimeStepper
	The Steady Timestepper. More...
static bool	Suppress_warning_about_empty_mesh_level_time_stepper_function
	Static boolean flag to control warning about mesh level timesteppers. More...
Static Public Attributes inherited from oomph::SolidMesh
static SolidICProblem	Solid_IC_problem
Protected Member Functions inherited from oomph::RectangularQuadMesh< ELEMENT >
void	build_mesh (TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
	Generic mesh construction function: contains all the hard work. More...
	RectangularQuadMesh (const unsigned &nx, const unsigned &ny, const double &xmin, const double &xmax, const double &ymin, const double &ymax, const bool &periodic_in_x, const bool &build, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
Protected Member Functions inherited from oomph::Mesh
unsigned long	assign_global_eqn_numbers (Vector< double * > &Dof_pt)
	Assign (global) equation numbers to the nodes. More...
void	describe_dofs (std::ostream &out, const std::string &current_string) const
void	describe_local_dofs (std::ostream &out, const std::string &current_string) const
void	assign_local_eqn_numbers (const bool &store_local_dof_pt)
	Assign local equation numbers in all elements. More...
void	convert_to_boundary_node (Node *&node_pt, const Vector< FiniteElement * > &finite_element_pt)
void	convert_to_boundary_node (Node *&node_pt)
Protected Attributes inherited from oomph::RectangularQuadMesh< ELEMENT >
unsigned	Nx
	Nx: number of elements in x-direction. More...
unsigned	Ny
	Ny: number of elements in y-direction. More...
unsigned	Np
	Np: number of (linear) points in the element. More...
double	Xmin
	Minimum value of x coordinate. More...
double	Xmax
	Maximum value of x coordinate. More...
double	Ymin
	Minimum value of y coordinate. More...
double	Ymax
	Maximum value of y coordinate. More...
bool	Xperiodic
Protected Attributes inherited from oomph::Mesh
Vector< Vector< Node * > >	Boundary_node_pt
bool	Lookup_for_elements_next_boundary_is_setup
Vector< Vector< FiniteElement * > >	Boundary_element_pt
Vector< Vector< int > >	Face_index_at_boundary
Vector< Node * >	Node_pt
	Vector of pointers to nodes. More...
Vector< GeneralisedElement * >	Element_pt
	Vector of pointers to generalised elements. More...
std::vector< bool >	Boundary_coordinate_exists

Detailed Description

template<class ELEMENT>
class FlatPlateMesh< ELEMENT >

///////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////// A 2D solid mesh for (topologically) flat 2D plates. The plate is represented by two Lagrangian coordinates that correspond to x and y in the undeformed position. The required mesh is therefore a 2D mesh and is therefore inherited from the generic RectangularQuadMesh

Constructor & Destructor Documentation

FlatPlateMesh()

template<class ELEMENT >

FlatPlateMesh< ELEMENT >::FlatPlateMesh	(	const unsigned &	nx,
		const unsigned &	ny,
		const double &	lx,
		const double &	ly,
		TimeStepper *	time_stepper_pt = &Mesh::Default_TimeStepper
	)

Constructor for the mesh.

Mesh constructor Argument list: nx : number of elements in the axial direction ny : number of elements in the azimuthal direction lx : length in the x direction ly : length in the y direction

                               :
 RectangularQuadMesh<ELEMENT>(nx,ny,lx,ly,time_stepper_pt)
{
 //Find out how many nodes there are
 unsigned n_node = nnode();
 
 //Now in this case it is the Lagrangian coordinates that we want to set,
 //so we have to loop over all nodes and set them to the Eulerian
 //coordinates that are set by the generic mesh generator
 for(unsigned i=0;i<n_node;i++)
  {
   node_pt(i)->xi(0) = node_pt(i)->x(0);
   node_pt(i)->xi(1) = node_pt(i)->x(1);
  }
 
 
 //Assign gradients, etc for the Lagrangian coordinates of
 //Hermite-type elements
 
 //Read out number of position dofs
 unsigned n_position_type = finite_element_pt(0)->nnodal_position_type();
 
 //If this is greater than 1 set the slopes, which are the distances between
 //nodes. If the spacing were non-uniform, this part would be more difficult
 if(n_position_type > 1)
  {
   double xstep = (this->Xmax - this->Xmin)/((this->Np-1)*this->Nx);
   double ystep = (this->Ymax - this->Ymin)/((this->Np-1)*this->Ny);
   for(unsigned n=0;n<n_node;n++)
    {
     //The factor 0.5 is because our reference element has length 2.0
     node_pt(n)->xi_gen(1,0) = 0.5*xstep;
     node_pt(n)->xi_gen(2,1) = 0.5*ystep;
    }
  }
}

References oomph::Mesh::finite_element_pt(), i, n, oomph::FiniteElement::nnodal_position_type(), oomph::Mesh::nnode(), oomph::SolidMesh::node_pt(), oomph::RectangularQuadMesh< ELEMENT >::Np, oomph::RectangularQuadMesh< ELEMENT >::Nx, oomph::RectangularQuadMesh< ELEMENT >::Ny, oomph::Node::x(), oomph::SolidNode::xi(), oomph::SolidNode::xi_gen(), oomph::RectangularQuadMesh< ELEMENT >::Xmax, oomph::RectangularQuadMesh< ELEMENT >::Xmin, oomph::RectangularQuadMesh< ELEMENT >::Ymax, and oomph::RectangularQuadMesh< ELEMENT >::Ymin.

Member Function Documentation

assign_undeformed_positions()

template<class ELEMENT >

void FlatPlateMesh< ELEMENT >::assign_undeformed_positions

(

GeomObject *const &

undeformed_midplane_pt

)

Set the undeformed coordinates of the nodes.

In all elastic problems, the nodes must be assigned an undeformed, or reference, position, corresponding to the stress-free state of the elastic body. This function assigns the undeformed position for the nodes on the flat plate

{
 //Find out how many nodes there are
 unsigned n_node = nnode();
 
 //Loop over all the nodes
 for(unsigned n=0;n<n_node;n++)
  {
   //Get the Lagrangian coordinates
   Vector<double> xi(2);
   xi[0] = node_pt(n)->xi(0);
   xi[1] = node_pt(n)->xi(1);
 
   //Assign memory for values of derivatives, etc
   Vector<double> R(3);
   DenseMatrix<double> a(2,3);
   RankThreeTensor<double>  dadxi(2,2,3);
 
   //Get the geometrical information from the geometric object
   undeformed_midplane_pt->d2position(xi,R,a,dadxi);
 
   //Loop over coordinate directions
   for(unsigned i=0;i<3;i++)
    {
     //Set the position
     node_pt(n)->x_gen(0,i) = R[i];
 
     //Set the derivative wrt Lagrangian coordinates
     //Note that we need to scale by the length of each element here!!
     node_pt(n)->x_gen(1,i) = 0.5*a(0,i)*((this->Xmax - this->Xmin)/this->Nx);
     node_pt(n)->x_gen(2,i) = 0.5*a(1,i)*((this->Ymax - this->Ymin)/this->Ny);
 
     //Set the mixed derivative
     //(symmetric so doesn't matter which one we use)
     node_pt(n)->x_gen(3,i) = 0.25*dadxi(0,1,i);
    }
  }
}

References a, oomph::GeomObject::d2position(), i, n, GlobalParameters::Nx, GlobalParameters::Ny, and R.

---

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

• plate.cc