oomph::AlgebraicFSIDrivenCavityMesh< ELEMENT > Class Template Reference

#include <fsi_driven_cavity_mesh.template.h>

Inheritance diagram for oomph::AlgebraicFSIDrivenCavityMesh< ELEMENT >:

Public Member Functions
	AlgebraicFSIDrivenCavityMesh (const unsigned &nx, const unsigned &ny, const double &lx, const double &ly, const double &gap_fraction, GeomObject *wall_pt, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
virtual	~AlgebraicFSIDrivenCavityMesh ()
	Destructor: empty. More...
void	algebraic_node_update (const unsigned &t, AlgebraicNode *&node_pt)
void	update_node_update (AlgebraicNode *&node_pt)
Public Member Functions inherited from oomph::FSIDrivenCavityMesh< ELEMENT >
	FSIDrivenCavityMesh (const unsigned &nx, const unsigned &ny, const double &lx, const double &ly, const double &gap_fraction, GeomObject *wall_pt, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
Public Member Functions inherited from oomph::SimpleRectangularQuadMesh< ELEMENT >
	SimpleRectangularQuadMesh (const unsigned &Nx, const unsigned &Ny, const double &Lx, const double &Ly, TimeStepper *time_stepper_pt=&Mesh::Default_TimeStepper)
const unsigned &	nx () const
	Access function for number of elements in x directions. More...
const unsigned &	ny () const
	Access function for number of elements in y directions. More...
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	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::AlgebraicMesh
	AlgebraicMesh ()
	AlgebraicMesh (const AlgebraicMesh &)=delete
	Broken copy constructor. More...
	~AlgebraicMesh ()
	Broken assignment operator. More...
AlgebraicNode *	node_pt (const unsigned long &n)
	Return a pointer to the n-th global AlgebraicNode. More...
void	node_update (const bool &update_all_solid_nodes=false)
unsigned	self_test ()
	Self test: check consistentency of multiple node updates. More...
void	add_geom_object_list_pt (GeomObject *geom_object_pt)
unsigned	ngeom_object_list_pt ()
	Return number of geometric objects associated with AlgebraicMesh. More...
GeomObject *	geom_object_list_pt (const unsigned &i)
	Access function to the ith GeomObject. More...

Protected Member Functions
void	setup_algebraic_node_update ()
	Function to setup the algebraic node update. More...
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)

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 Attributes inherited from oomph::FSIDrivenCavityMesh< ELEMENT >
unsigned	Nx
	Number of elements in x direction. More...
unsigned	Ny
	Number of elements in y direction. More...
double	Gap_fraction
GeomObject *	Wall_pt
	Pointer to geometric object that represents the moving wall. More...
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 oomph::AlgebraicFSIDrivenCavityMesh< ELEMENT >

/ Alebraic node update version of FSIDrivenCavityMesh

• Boundary 0 is the moving lid.
• Boundary 1 is the gap above the moving lid on the right wall
• Boundary 2 is the rigid part of the right wall
• Boundary 3 is the moving (elastic) wall
• Boundary 4 is the rigid part of the left wall
• Boundary 5 is the gap above the moving lid on the left wall

Constructor & Destructor Documentation

AlgebraicFSIDrivenCavityMesh()

template<class ELEMENT >

oomph::AlgebraicFSIDrivenCavityMesh< ELEMENT >::AlgebraicFSIDrivenCavityMesh ( const unsigned &  nx, const unsigned &  ny, const double &  lx, const double &  ly, const double &  gap_fraction, GeomObject *  wall_pt, TimeStepper *  time_stepper_pt = &Mesh::Default_TimeStepper  )

inline

Constructor: Pass number of elements, lengths, pointer to GeomObject that defines the collapsible segment and pointer to TimeStepper (defaults to the default timestepper, Steady).

      : FSIDrivenCavityMesh<ELEMENT>(
          nx, ny, lx, ly, gap_fraction, wall_pt, time_stepper_pt)
    {
      // Add the geometric object to the list associated with this AlgebraicMesh
      AlgebraicMesh::add_geom_object_list_pt(wall_pt);
 
      // Setup algebraic node update operations
      setup_algebraic_node_update();
    }

References oomph::AlgebraicMesh::add_geom_object_list_pt(), and oomph::AlgebraicFSIDrivenCavityMesh< ELEMENT >::setup_algebraic_node_update().

~AlgebraicFSIDrivenCavityMesh()

template<class ELEMENT >

virtual oomph::AlgebraicFSIDrivenCavityMesh< ELEMENT >::~AlgebraicFSIDrivenCavityMesh ( )

inlinevirtual

Destructor: empty.

{}

Member Function Documentation

algebraic_node_update()

template<class ELEMENT >

void oomph::AlgebraicFSIDrivenCavityMesh< ELEMENT >::algebraic_node_update ( const unsigned &  t, AlgebraicNode *&  node_pt  )

virtual

Update nodal position at time level t (t=0: present; t>0: previous)

//////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////// Perform algebraic mesh update at time level t (t=0: present; t>0: previous)

Implements oomph::AlgebraicMesh.

  {
#ifdef PARANOID
    // We're updating the nodal positions (!) at time level t
    // and determine them by evaluating the wall GeomObject's
    // position at that gime level. I believe this only makes sense
    // if the t-th history value in the positional timestepper
    // actually represents previous values (rather than some
    // generalised quantity). Hence if this function is called with
    // t>nprev_values(), we issue a warning and terminate the execution.
    // It *might* be possible that the code still works correctly
    // even if this condition is violated (e.g. if the GeomObject's
    // position() function returns the appropriate "generalised"
    // position value that is required by the timestepping scheme but it's
    // probably worth flagging this up and forcing the user to manually switch
    // off this warning if he/she is 100% sure that this is kosher.
    if (t > node_pt->position_time_stepper_pt()->nprev_values())
    {
      std::string error_message =
        "Trying to update the nodal position at a time level";
      error_message += "beyond the number of previous values in the nodes'";
      error_message += "position timestepper. This seems highly suspect!";
      error_message += "If you're sure the code behaves correctly";
      error_message += "in your application, remove this warning ";
      error_message += "or recompile with PARNOID switched off.";
 
      std::string function_name = "AlgebraicFSIDrivenCavityMesh::";
      function_name += "algebraic_node_update()";
 
      throw OomphLibError(
        error_message, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
    }
#endif
 
    // Extract references for update by copy construction
    Vector<double> ref_value(node_pt->vector_ref_value());
 
    // First reference value: Original x-position. Used as the start point
    // for the lines connecting the nodes in the vertical direction
    double x_bottom = ref_value[0];
 
    // Second reference value: Fractional position along
    // straight line from the bottom (at the original x position)
    // to the reference point on the upper wall
    double fract = ref_value[1];
 
    // Third reference value:  Reference local coordinate
    // in GeomObject that represents the upper wall (local coordinate
    // in finite element if the wall GeomObject is a finite element mesh)
    Vector<double> s(1);
    s[0] = ref_value[2];
 
    // Fourth reference value: zeta coordinate on the upper wall
    // If the wall is a simple GeomObject, zeta[0]=s[0]
    // but if it's a compound GeomObject (e.g. a finite element mesh)
    // zeta scales during mesh refinement, whereas s[0] and the
    // pointer to the geom object have to be re-computed.
    // double zeta=ref_value[3]; // not needed here
 
    // Extract geometric objects for update by copy construction
    Vector<GeomObject*> geom_object_pt(node_pt->vector_geom_object_pt());
 
    // Pointer to actual wall geom object (either the same as the wall object
    // or the pointer to the actual finite element)
    GeomObject* geom_obj_pt = geom_object_pt[0];
 
    // Get position vector to wall at previous timestep t!
    Vector<double> r_wall(2);
    geom_obj_pt->position(t, s, r_wall);
 
    // Assign new nodal coordinate
    node_pt->x(t, 0) = x_bottom + fract * (r_wall[0] - x_bottom);
    node_pt->x(t, 1) = fract * r_wall[1];
  }

References oomph::TimeStepper::nprev_values(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::GeomObject::position(), oomph::Node::position_time_stepper_pt(), s, oomph::Global_string_for_annotation::string(), plotPSD::t, oomph::AlgebraicNode::vector_geom_object_pt(), oomph::AlgebraicNode::vector_ref_value(), and oomph::Node::x().

setup_algebraic_node_update()

template<class ELEMENT >

void oomph::AlgebraicFSIDrivenCavityMesh< ELEMENT >::setup_algebraic_node_update

protected

Function to setup the algebraic node update.

Setup algebraic mesh update – assumes that mesh has initially been set up with a flush upper wall.

  {
    // Loop over all nodes in mesh
    unsigned nnod = this->nnode();
    for (unsigned j = 0; j < nnod; j++)
    {
      // Get pointer to node -- recall that that Mesh::node_pt(...) has been
      // overloaded in the AlgebraicMesh class to return a pointer to
      // an AlgebraicNode.
      AlgebraicNode* nod_pt = node_pt(j);
 
      // Get coordinates
      double x = nod_pt->x(0);
      double y = nod_pt->x(1);
 
      // Get zeta coordinate on the undeformed wall
      Vector<double> zeta(1);
      zeta[0] = x;
 
      // Get pointer to geometric (sub-)object and Lagrangian coordinate
      // on that sub-object. For a wall that is represented by
      // a single geom object, this simply returns the input.
      // If the geom object consists of sub-objects (e.g.
      // if it is a finite element mesh representing a wall,
      // then we'll obtain the pointer to the finite element
      // (in its incarnation as a GeomObject) and the
      // local coordinate in that element.
      GeomObject* geom_obj_pt;
      Vector<double> s(1);
      this->Wall_pt->locate_zeta(zeta, geom_obj_pt, s);
 
      // Get position vector to wall:
      Vector<double> r_wall(2);
      geom_obj_pt->position(s, r_wall);
 
      // Sanity check: Confirm that the wall is in its undeformed position
#ifdef PARANOID
      if ((std::fabs(r_wall[0] - x) > 1.0e-15) &&
          (std::fabs(r_wall[1] - y) > 1.0e-15))
      {
        std::ostringstream error_stream;
        error_stream << "Wall must be in its undeformed position when\n"
                     << "algebraic node update information is set up!\n "
                     << "x-discrepancy: " << std::fabs(r_wall[0] - x)
                     << std::endl
                     << "y-discrepancy: " << std::fabs(r_wall[1] - y)
                     << std::endl;
 
        throw OomphLibError(
          error_stream.str(), OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION);
      }
#endif
 
 
      // One geometric object is involved in update operation
      Vector<GeomObject*> geom_object_pt(1);
 
      // The actual geometric object (If the wall is simple GeomObject
      // this is the same as Wall_pt; if it's a compound GeomObject
      // this points to the sub-object)
      geom_object_pt[0] = geom_obj_pt;
 
      // The update function requires four  parameters:
      Vector<double> ref_value(4);
 
      // First reference value: Original x-position
      ref_value[0] = r_wall[0];
 
      // Second  reference value: fractional position along
      // straight line from the bottom (at the original x position)
      // to the point on the wall)
      ref_value[1] = y / r_wall[1];
 
      // Third reference value: Reference local coordinate
      // in wall element (local coordinate in FE if we're dealing
      // with a wall mesh)
      ref_value[2] = s[0];
 
      // Fourth reference value: zeta coordinate on wall
      // If the wall is a simple GeomObject, zeta[0]=s[0]
      // but if it's a compound GeomObject (e.g. a finite element mesh)
      // zeta scales during mesh refinement, whereas s[0] and the
      // pointer to the geom object have to be re-computed.
      ref_value[3] = zeta[0];
 
      // Setup algebraic update for node: Pass update information
      nod_pt->add_node_update_info(this, // mesh
                                   geom_object_pt, // vector of geom objects
                                   ref_value); // vector of  ref. values
    }
 
 
  } // end of setup_algebraic_node_update

References oomph::AlgebraicNode::add_node_update_info(), boost::multiprecision::fabs(), j, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, oomph::GeomObject::position(), s, plotDoE::x, oomph::Node::x(), y, and Eigen::zeta().

Referenced by oomph::AlgebraicFSIDrivenCavityMesh< ELEMENT >::AlgebraicFSIDrivenCavityMesh().

update_node_update()

template<class ELEMENT >

void oomph::AlgebraicFSIDrivenCavityMesh< ELEMENT >::update_node_update ( AlgebraicNode *&  node_pt )

inlinevirtual

Update the node-udate data after mesh adaptation. Empty – no update of node update required as this is non-refineable mesh.

Implements oomph::AlgebraicMesh.

Reimplemented in oomph::RefineableAlgebraicFSIDrivenCavityMesh< ELEMENT >.

{}

---

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

• fsi_driven_cavity_mesh.template.h
• fsi_driven_cavity_mesh.template.cc