CylinderMesh< ELEMENT > Class Template Reference

Inheritance diagram for CylinderMesh< ELEMENT >:

Public Member Functions
	CylinderMesh (const unsigned &nx1, const unsigned &nx2, const unsigned &ny1, const unsigned &ny2, const double &radius)
double	x_spacing_function (unsigned xelement, unsigned xnode, unsigned yelement, unsigned ynode)
double	y_spacing_function (unsigned xelement, unsigned xnode, unsigned yelement, unsigned ynode)
	CylinderMesh (const unsigned &nx1, const unsigned &nx2, const unsigned &ny1, const unsigned &ny2, const double &lx)
double	x_spacing_function (unsigned xelement, unsigned xnode, unsigned yelement, unsigned ynode)
double	y_spacing_function (unsigned xelement, unsigned xnode, unsigned yelement, unsigned ynode)
void	assign_centreline_nodes ()
Node *	centreline_node_pt (const unsigned &i) const
double	rescale_length (const double &length)
	CylinderMesh (const unsigned &nx1, const unsigned &nx2, const unsigned &ny1, const unsigned &ny2, const double &lx)
double	x_spacing_function (unsigned xelement, unsigned xnode, unsigned yelement, unsigned ynode)
double	y_spacing_function (unsigned xelement, unsigned xnode, unsigned yelement, unsigned ynode)
void	assign_centreline_nodes ()
Node *	centreline_node_pt (const unsigned &i) const
double	rescale_length (const double &length)
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 ()
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)
virtual void	scale_mesh (const double &factor)
	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...

Private Attributes
unsigned	Nx1
unsigned	Nx2
unsigned	Ny1
unsigned	Ny2
double	Xfraction
double	Yfraction
Vector< Node * >	Centreline_node_pt

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...
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 CylinderMesh< ELEMENT >

A Class for the mesh to be used in the rotating Disc equations The mesh is a modification of the standard RectangularQuadMesh. We define x to be the radial (r) coordinate and y to be the axial (z) coordinate in the axisymmetric coordinate system. The mesh consists of upper and lower regions and left and right regions, with uniform element spacing in each region. The idea is that one might want more closely-spaced elements near the downstream end of the domain and different numbers of elements in the upper and lower regions, to prevent there being any inherent symmetry in the mesh

Constructor & Destructor Documentation

CylinderMesh() [1/3]

template<class ELEMENT >

CylinderMesh< ELEMENT >::CylinderMesh ( const unsigned &  nx1, const unsigned &  nx2, const unsigned &  ny1, const unsigned &  ny2, const double &  radius  )

inline

Constructor, which "builds" the mesh. The arguments are the number of elements in each zone, the radius of the disc

                                    :
  //Call a protected constructor of the rectangular quad mesh
  //that sets internal variables, but does not actually build the
  //mesh. The arguments are the total number of elements in the x
  //and y directions, xmin, xman, ymin, ymax, periodic_flag and
  //the build flag
  RectangularQuadMesh<ELEMENT>(nx1+nx2,ny1+ny2,0.0,radius,-1.0,1.0,
                               false,false)
  {
   //Set private mesh variables, number of elements in each section
   Nx1 = nx1; Nx2 = nx2; Ny1 = ny1; Ny2 = ny2;
 
   //Set the fraction, at which the left and right regions are split
   Xfraction=0.8;
 
   //Set the fraction at which the upper and lower regions are split
   Yfraction=0.5;
 
   //Call the generic mesh construction routine
   //(Defined in RectangularQuadMesh<ELEMENT>)
   this->build_mesh();
        
   //Now reorder the elements in the best form for the frontal solver
   //This arranges in elements in vertical slices starting from x=0 and moving
   //along the channel to x=radius
   this->element_reorder();
  }

CylinderMesh() [2/3]

template<class ELEMENT >

CylinderMesh< ELEMENT >::CylinderMesh ( const unsigned &  nx1, const unsigned &  nx2, const unsigned &  ny1, const unsigned &  ny2, const double &  lx  )

inline

                                  :
  RectangularQuadMesh<ELEMENT>(nx1+nx2,ny1+ny2,
                               0.0,lx,0.0,1.0,false,false)
  {
   //Set mesh variables, number of elements in each section
   Nx1 = nx1; Nx2 = nx2; Ny1 = ny1; Ny2 = ny2;
 
   //Minimum and maximum values of x and fraction of length 
   Xfraction=0.5;
   //RectangularQuadMesh<ELEMENT>::Ymax = 1.0; 
   Yfraction=0.5;
 
   //Call the generic mesh construction routine
   //(Defined in RectangularQuadMesh<ELEMENT>
   this->build_mesh();
   
   //Set up the Vector Centreline_node_pt containing the nodes on the 
   //channel centreline. Note that this must be called before the 
   //elements are reordered because it relies on the element being in
   //the order defined in build_mesh()
   assign_centreline_nodes();
     
   //Now reorder the elements in the best form for the frontal solver
   //This arranges in elements in vertical slices starting from x=0 and moving
   //along the channel to x=lx
   RectangularQuadMesh<ELEMENT>::element_reorder();
  }

CylinderMesh() [3/3]

template<class ELEMENT >

CylinderMesh< ELEMENT >::CylinderMesh ( const unsigned &  nx1, const unsigned &  nx2, const unsigned &  ny1, const unsigned &  ny2, const double &  lx  )

inline

                                  :
  RectangularQuadMesh<ELEMENT>(nx1+nx2,ny1+ny2,
                               0.0,lx,0.0,1.0,false,false)
  {
   //Set mesh variables, number of elements in each section
   Nx1 = nx1; Nx2 = nx2; Ny1 = ny1; Ny2 = ny2;
 
   //Minimum and maximum values of x and fraction of length 
   Xfraction=0.5;
   //RectangularQuadMesh<ELEMENT>::Ymax = 1.0; 
   Yfraction=0.5;
 
   //Call the generic mesh construction routine
   //(Defined in RectangularQuadMesh<ELEMENT>
   this->build_mesh();
   
   //Set up the Vector Centreline_node_pt containing the nodes on the 
   //channel centreline. Note that this must be called before the 
   //elements are reordered because it relies on the element being in
   //the order defined in build_mesh()
   assign_centreline_nodes();
     
   //Now reorder the elements in the best form for the frontal solver
   //This arranges in elements in vertical slices starting from x=0 and moving
   //along the channel to x=lx
   RectangularQuadMesh<ELEMENT>::element_reorder();
  }

Member Function Documentation

assign_centreline_nodes() [1/2]

template<class ELEMENT >

void CylinderMesh< ELEMENT >::assign_centreline_nodes ( )

inline

  {
   //Find the number of nodes in each element
   unsigned Nnode=this->finite_element_pt(0)->nnode_1d();
   unsigned Nx = RectangularQuadMesh<ELEMENT>::Nx;
   //Loop over all elements on the centreline
   for(unsigned e=0;e<Nx;e++)
    {
     //Loop over all but the last node on each
     for(unsigned l=0;l<(Nnode-1);l++)
      {
       //Add each node to the centreline Vector
       Centreline_node_pt.
        push_back(this->finite_element_pt(Ny1*Nx+e)->node_pt(l));
      }
    }
      //Add the final node to the centreline Vector
   Centreline_node_pt.push_back(this->finite_element_pt(Ny1*Nx + Nx-1)
                                ->node_pt(Nnode-1));
  }

References e(), and GlobalParameters::Nx.

assign_centreline_nodes() [2/2]

template<class ELEMENT >

void CylinderMesh< ELEMENT >::assign_centreline_nodes ( )

inline

  {
   //Find the number of nodes in each element
   unsigned Nnode=this->finite_element_pt(0)->nnode_1d();
   unsigned Nx = RectangularQuadMesh<ELEMENT>::Nx;
   //Loop over all elements on the centreline
   for(unsigned e=0;e<Nx;e++)
    {
     //Loop over all but the last node on each
     for(unsigned l=0;l<(Nnode-1);l++)
      {
       //Add each node to the centreline Vector
       Centreline_node_pt.
        push_back(this->finite_element_pt(Ny1*Nx+e)->node_pt(l));
      }
    }
      //Add the final node to the centreline Vector
   Centreline_node_pt.push_back(this->finite_element_pt(Ny1*Nx + Nx-1)
                                ->node_pt(Nnode-1));
  }

References e(), and GlobalParameters::Nx.

centreline_node_pt() [1/2]

template<class ELEMENT >

Node* CylinderMesh< ELEMENT >::centreline_node_pt ( const unsigned &  i ) const

inline

  {return Centreline_node_pt[i];}

References i.

centreline_node_pt() [2/2]

template<class ELEMENT >

Node* CylinderMesh< ELEMENT >::centreline_node_pt ( const unsigned &  i ) const

inline

  {return Centreline_node_pt[i];}

References i.

rescale_length() [1/2]

template<class ELEMENT >

double CylinderMesh< ELEMENT >::rescale_length ( const double &  length )

inline

  {
   //Save the present length
   double old_length = this->Xmax;
   //Set the new length
   this->Xmax = length;
   //Find the ratio
   double ratio = length/old_length;
 
   //Loop over all nodes and scale x position by ratio
   unsigned long n_node = this->nnode();
   for(unsigned n=0;n<n_node;n++) {this->Node_pt[n]->x(0) *= ratio;}
   return ratio;
  }

References n.

rescale_length() [2/2]

template<class ELEMENT >

double CylinderMesh< ELEMENT >::rescale_length ( const double &  length )

inline

  {
   //Save the present length
   double old_length = this->Xmax;
   //Set the new length
   this->Xmax = length;
   //Find the ratio
   double ratio = length/old_length;
 
   //Loop over all nodes and scale x position by ratio
   unsigned long n_node = this->nnode();
   for(unsigned n=0;n<n_node;n++) {this->Node_pt[n]->x(0) *= ratio;}
   return ratio;
  }

References n.

x_spacing_function() [1/3]

template<class ELEMENT >

double CylinderMesh< ELEMENT >::x_spacing_function ( unsigned  xelement, unsigned  xnode, unsigned  yelement, unsigned  ynode  )

inlinevirtual

Define the spacing of the nodes in the r (radial) direction In this mesh, there are two different regions with uniform spacing in each. Note that this can easily be changed to generate non-uniform meshes if desired

Reimplemented from oomph::RectangularQuadMesh< ELEMENT >.

  {
   //Find the minimum and maximum values of the X (radial) coordinate
   double x_min = this->Xmin;
   double x_max = this->Xmax;
   //Find the number of nodes in the element in the radial direction
   unsigned np = this->Np;
   //Set up some spacing parameters
   //Region one starts at Xmin 
   //Region two starts at Xmin + Xfraction(Xmax-Xmin)
   double x1init = x_min, x2init = x_min + Xfraction*(x_max-x_min);
   //Calculate the spacing between the nodes in each region
   //Assuming uniform spacing
   //Region one has a length Xfraction*(Xmax-Xmin)
   double x1step = Xfraction*(x_max-x_min)/((np-1)*Nx1);
   //Region two has a length (1.0-Xfraction)*(Xmax-Xmin)
   double x2step = (1.0-Xfraction)*(x_max-x_min)/((np-1)*Nx2);
   
   //Now set up the particular spacing 
   //(it's different in the two different regions)
   if(xelement < Nx1) {return (x1init + x1step*((np-1)*xelement + xnode));}
   else {return (x2init + x2step*((np-1)*(xelement-Nx1) + xnode));}
  }

x_spacing_function() [2/3]

template<class ELEMENT >

double CylinderMesh< ELEMENT >::x_spacing_function ( unsigned  xelement, unsigned  xnode, unsigned  yelement, unsigned  ynode  )

inlinevirtual

Return the value of the x-coordinate at the node given by the local node number (xnode, ynode) in the element (xelement,yelement). The description is in a "psudeo" two-dimensional coordinate system, so the range of xelement is [0,Nx-1], yelement is [0,Ny-1], and that of xnode and ynode is [0,Np-1]. The default is to return nodes that are equally spaced in the x coodinate.

Reimplemented from oomph::RectangularQuadMesh< ELEMENT >.

  {
   double Xmin = RectangularQuadMesh<ELEMENT>::Xmin;
   double Xmax = RectangularQuadMesh<ELEMENT>::Xmax;
   unsigned Np = RectangularQuadMesh<ELEMENT>::Np;
   //Set up some spacing parameters
   //Region one starts at Xmin 
   //Region two starts at Xmin + Xfraction(Xmax-Xmin)
   double x1init = Xmin, x2init = Xmin + Xfraction*(Xmax-Xmin);
   //Calculate the spacing between the nodes in each region
   //Assuming uniform spacing
   //Region one has a length Xfraction*(Xmax-Xmin)
   double x1step = Xfraction*(Xmax-Xmin)/((Np-1)*Nx1);
   //Region two has a length (1.0-Xfraction)*(Xmax-Xmin)
   double x2step = (1.0-Xfraction)*(Xmax-Xmin)/((Np-1)*Nx2);
   
   //Now set up the particular spacing 
   //(it's different in the two different regions)
   if(xelement < Nx1) {return (x1init + x1step*((Np-1)*xelement + xnode));}
   else {return (x2init + x2step*((Np-1)*(xelement-Nx1) + xnode));}
  }

x_spacing_function() [3/3]

template<class ELEMENT >

double CylinderMesh< ELEMENT >::x_spacing_function ( unsigned  xelement, unsigned  xnode, unsigned  yelement, unsigned  ynode  )

inlinevirtual

Return the value of the x-coordinate at the node given by the local node number (xnode, ynode) in the element (xelement,yelement). The description is in a "psudeo" two-dimensional coordinate system, so the range of xelement is [0,Nx-1], yelement is [0,Ny-1], and that of xnode and ynode is [0,Np-1]. The default is to return nodes that are equally spaced in the x coodinate.

Reimplemented from oomph::RectangularQuadMesh< ELEMENT >.

  {
   double Xmin = RectangularQuadMesh<ELEMENT>::Xmin;
   double Xmax = RectangularQuadMesh<ELEMENT>::Xmax;
   unsigned Np = RectangularQuadMesh<ELEMENT>::Np;
   //Set up some spacing parameters
   //Region one starts at Xmin 
   //Region two starts at Xmin + Xfraction(Xmax-Xmin)
   double x1init = Xmin, x2init = Xmin + Xfraction*(Xmax-Xmin);
   //Calculate the spacing between the nodes in each region
   //Assuming uniform spacing
   //Region one has a length Xfraction*(Xmax-Xmin)
   double x1step = Xfraction*(Xmax-Xmin)/((Np-1)*Nx1);
   //Region two has a length (1.0-Xfraction)*(Xmax-Xmin)
   double x2step = (1.0-Xfraction)*(Xmax-Xmin)/((Np-1)*Nx2);
   
   //Now set up the particular spacing 
   //(it's different in the two different regions)
   if(xelement < Nx1) {return (x1init + x1step*((Np-1)*xelement + xnode));}
   else {return (x2init + x2step*((Np-1)*(xelement-Nx1) + xnode));}
  }

y_spacing_function() [1/3]

template<class ELEMENT >

double CylinderMesh< ELEMENT >::y_spacing_function ( unsigned  xelement, unsigned  xnode, unsigned  yelement, unsigned  ynode  )

inlinevirtual

Defines the spacing of the nodes in the z (axial) direction.In this mesh there are two different regions with uniform spacing in each Note that this can easily be changed to generate non-uniform meshes if desired. This may be desirable if sharp boundary, or shear layers, develop.

Reimplemented from oomph::RectangularQuadMesh< ELEMENT >.

  {
   //Find the minimum and maximum values of the Y (axial) coordinate
   double y_min = this->Ymin;
   double y_max = this->Ymax;
   //Read out the number of nodes in the y direction
   unsigned np = this->Np;
 
   //Set up some spacing parameters
   //The lower region starts at Ymin
   //The upper region starts at Ymin + Yfraction*(Ymax-Ymin)
   double y1init = y_min, y2init = y_min + Yfraction*(y_max-y_min);
   //Calculate the space between each node in each region,
   //Assumming uniform spacing
   //Region one has a length Yfraction(Ymax-Ymin)
   double y1step = Yfraction*(y_max-y_min)/((np-1)*Ny1);
   //Region two has a length (1.0-Yfraction)*(Ymax-Ymin)
   double y2step = (1.0-Yfraction)*(y_max-y_min)/((np-1)*Ny2);
 
   //Now return the actual node position, it's different in the two
   //regions, of course
   if(yelement < Ny1) {return (y1init + y1step*((np-1)*yelement + ynode));}
   else {return (y2init + y2step*((np-1)*(yelement-Ny1) + ynode));}
  }

y_spacing_function() [2/3]

template<class ELEMENT >

double CylinderMesh< ELEMENT >::y_spacing_function ( unsigned  xelement, unsigned  xnode, unsigned  yelement, unsigned  ynode  )

inlinevirtual

Return the value of the y-coordinate at the node given by the local node number (xnode, ynode) in the element (xelement,yelement). The description is in a "psudeo" two-dimensional coordinate system, so the range of xelement is [0,Nx-1], yelement is [0,Ny-1], and that of xnode and ynode is [0,Np-1]. The default it to return nodes that are equally spaced in the y coordinate.

Reimplemented from oomph::RectangularQuadMesh< ELEMENT >.

  {
   double Ymin = RectangularQuadMesh<ELEMENT>::Ymin;
   double Ymax = RectangularQuadMesh<ELEMENT>::Ymax;
   unsigned Np = RectangularQuadMesh<ELEMENT>::Np;
 
   //Set up some spacing parameters
   //The lower region starts at Ymin
   //The upper region starts at Ymin + Yfraction*(Ymax-Ymin)
   double y1init = Ymin, y2init = Ymin + Yfraction*(Ymax-Ymin);
   //Calculate the space between each node in each region,
   //Assumming uniform spacing
   //Region one has a length Yfraction(Ymax-Ymin)
   double y1step = Yfraction*(Ymax-Ymin)/((Np-1)*Ny1);
   //Region two has a length (1.0-Yfraction)*(Ymax-Ymin)
   double y2step = (1.0-Yfraction)*(Ymax-Ymin)/((Np-1)*Ny2);
 
   //Now return the actual node position, it's different in the two
   //regions, of course
   if(yelement < Ny1) {return (y1init + y1step*((Np-1)*yelement + ynode));}
   else {return (y2init + y2step*((Np-1)*(yelement-Ny1) + ynode));}
  }

y_spacing_function() [3/3]

template<class ELEMENT >

double CylinderMesh< ELEMENT >::y_spacing_function ( unsigned  xelement, unsigned  xnode, unsigned  yelement, unsigned  ynode  )

inlinevirtual

Return the value of the y-coordinate at the node given by the local node number (xnode, ynode) in the element (xelement,yelement). The description is in a "psudeo" two-dimensional coordinate system, so the range of xelement is [0,Nx-1], yelement is [0,Ny-1], and that of xnode and ynode is [0,Np-1]. The default it to return nodes that are equally spaced in the y coordinate.

Reimplemented from oomph::RectangularQuadMesh< ELEMENT >.

  {
   double Ymin = RectangularQuadMesh<ELEMENT>::Ymin;
   double Ymax = RectangularQuadMesh<ELEMENT>::Ymax;
   unsigned Np = RectangularQuadMesh<ELEMENT>::Np;
 
   //Set up some spacing parameters
   //The lower region starts at Ymin
   //The upper region starts at Ymin + Yfraction*(Ymax-Ymin)
   double y1init = Ymin, y2init = Ymin + Yfraction*(Ymax-Ymin);
   //Calculate the space between each node in each region,
   //Assumming uniform spacing
   //Region one has a length Yfraction(Ymax-Ymin)
   double y1step = Yfraction*(Ymax-Ymin)/((Np-1)*Ny1);
   //Region two has a length (1.0-Yfraction)*(Ymax-Ymin)
   double y2step = (1.0-Yfraction)*(Ymax-Ymin)/((Np-1)*Ny2);
 
   //Now return the actual node position, it's different in the two
   //regions, of course
   if(yelement < Ny1) {return (y1init + y1step*((Np-1)*yelement + ynode));}
   else {return (y2init + y2step*((Np-1)*(yelement-Ny1) + ynode));}
  }

Member Data Documentation

Centreline_node_pt

template<class ELEMENT >

Vector< Node * > CylinderMesh< ELEMENT >::Centreline_node_pt

private

Nx1

template<class ELEMENT >

unsigned CylinderMesh< ELEMENT >::Nx1

private

Nx2

template<class ELEMENT >

unsigned CylinderMesh< ELEMENT >::Nx2

private

Ny1

template<class ELEMENT >

unsigned CylinderMesh< ELEMENT >::Ny1

private

Ny2

template<class ELEMENT >

unsigned CylinderMesh< ELEMENT >::Ny2

private

Xfraction

template<class ELEMENT >

double CylinderMesh< ELEMENT >::Xfraction

private

Yfraction

template<class ELEMENT >

double CylinderMesh< ELEMENT >::Yfraction

private

---

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

• rotating_ends.cc
• bifurcation_tracking/track_pitch.cc