Problem class. More...

#include <fsi_driven_cavity_problem.h>

Inheritance diagram for FSIDrivenCavityProblem< ELEMENT >:

Public Member Functions
	FSIDrivenCavityProblem (const unsigned &nx, const unsigned &ny, const double &lx, const double &ly, const double &gap_fraction, const double &period)
	Constructor for the collapsible channel problem. More...

	~FSIDrivenCavityProblem ()
	Destructor. More...

AlgebraicFSIDrivenCavityMesh< ELEMENT > *	bulk_mesh_pt ()
	Access function for the specific bulk (fluid) mesh. More...

OneDLagrangianMesh< FSIHermiteBeamElement > *	wall_mesh_pt ()
	Access function for the wall mesh. More...

void	actions_before_newton_solve ()
	Update the problem specs before solve (empty) More...

void	actions_after_newton_solve ()
	Update the problem after solve (empty) More...

void	actions_before_implicit_timestep ()
	Update the velocity boundary condition on the moving lid. More...

void	actions_before_newton_convergence_check ()

void	doc_solution (DocInfo &doc_info, ofstream &trace_file)
	Doc the solution. More...

void	set_initial_condition ()
	Apply initial conditions. More...

Public Member Functions inherited from oomph::Problem
virtual void	debug_hook_fct (const unsigned &i)

void	set_analytic_dparameter (double *const &parameter_pt)

void	unset_analytic_dparameter (double *const &parameter_pt)

bool	is_dparameter_calculated_analytically (double *const &parameter_pt)

void	set_analytic_hessian_products ()

void	unset_analytic_hessian_products ()

bool	are_hessian_products_calculated_analytically ()

void	set_pinned_values_to_zero ()

bool	distributed () const

virtual void	actions_before_adapt ()

virtual void	actions_after_adapt ()
	Actions that are to be performed after a mesh adaptation. More...

OomphCommunicator *	communicator_pt ()
	access function to the oomph-lib communicator More...

const OomphCommunicator *	communicator_pt () const
	access function to the oomph-lib communicator, const version More...

	Problem ()

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

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

virtual	~Problem ()
	Virtual destructor to clean up memory. More...

Mesh *&	mesh_pt ()
	Return a pointer to the global mesh. More...

Mesh *const &	mesh_pt () const
	Return a pointer to the global mesh (const version) More...

Mesh *&	mesh_pt (const unsigned &imesh)

Mesh *const &	mesh_pt (const unsigned &imesh) const
	Return a pointer to the i-th submesh (const version) More...

unsigned	nsub_mesh () const
	Return number of submeshes. More...

unsigned	add_sub_mesh (Mesh *const &mesh_pt)

void	flush_sub_meshes ()

void	build_global_mesh ()

void	rebuild_global_mesh ()

LinearSolver *&	linear_solver_pt ()
	Return a pointer to the linear solver object. More...

LinearSolver *const &	linear_solver_pt () const
	Return a pointer to the linear solver object (const version) More...

LinearSolver *&	mass_matrix_solver_for_explicit_timestepper_pt ()

LinearSolver *	mass_matrix_solver_for_explicit_timestepper_pt () const

EigenSolver *&	eigen_solver_pt ()
	Return a pointer to the eigen solver object. More...

EigenSolver *const &	eigen_solver_pt () const
	Return a pointer to the eigen solver object (const version) More...

Time *&	time_pt ()
	Return a pointer to the global time object. More...

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

double &	time ()
	Return the current value of continuous time. More...

double	time () const
	Return the current value of continuous time (const version) More...

TimeStepper *&	time_stepper_pt ()

const TimeStepper *	time_stepper_pt () const

TimeStepper *&	time_stepper_pt (const unsigned &i)
	Return a pointer to the i-th timestepper. More...

ExplicitTimeStepper *&	explicit_time_stepper_pt ()
	Return a pointer to the explicit timestepper. More...

unsigned long	set_timestepper_for_all_data (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data=false)

virtual void	shift_time_values ()
	Shift all values along to prepare for next timestep. More...

AssemblyHandler *&	assembly_handler_pt ()
	Return a pointer to the assembly handler object. More...

AssemblyHandler *const &	assembly_handler_pt () const
	Return a pointer to the assembly handler object (const version) More...

double &	minimum_dt ()
	Access function to min timestep in adaptive timestepping. More...

double &	maximum_dt ()
	Access function to max timestep in adaptive timestepping. More...

unsigned &	max_newton_iterations ()
	Access function to max Newton iterations before giving up. More...

void	problem_is_nonlinear (const bool &prob_lin)
	Access function to Problem_is_nonlinear. More...

double &	max_residuals ()

bool &	time_adaptive_newton_crash_on_solve_fail ()
	Access function for Time_adaptive_newton_crash_on_solve_fail. More...

double &	newton_solver_tolerance ()

void	add_time_stepper_pt (TimeStepper *const &time_stepper_pt)

void	set_explicit_time_stepper_pt (ExplicitTimeStepper *const &explicit_time_stepper_pt)

void	initialise_dt (const double &dt)

void	initialise_dt (const Vector< double > &dt)

Data *&	global_data_pt (const unsigned &i)
	Return a pointer to the the i-th global data object. More...

void	add_global_data (Data *const &global_data_pt)

void	flush_global_data ()

LinearAlgebraDistribution *const &	dof_distribution_pt () const
	Return the pointer to the dof distribution (read-only) More...

unsigned long	ndof () const
	Return the number of dofs. More...

unsigned	ntime_stepper () const
	Return the number of time steppers. More...

unsigned	nglobal_data () const
	Return the number of global data values. More...

unsigned	self_test ()
	Self-test: Check meshes and global data. Return 0 for OK. More...

void	enable_store_local_dof_pt_in_elements ()

void	disable_store_local_dof_pt_in_elements ()

unsigned long	assign_eqn_numbers (const bool &assign_local_eqn_numbers=true)

void	describe_dofs (std::ostream &out= *(oomph_info.stream_pt())) const

void	enable_discontinuous_formulation ()

void	disable_discontinuous_formulation ()

void	get_dofs (DoubleVector &dofs) const

void	get_dofs (const unsigned &t, DoubleVector &dofs) const
	Return vector of the t'th history value of all dofs. More...

void	set_dofs (const DoubleVector &dofs)
	Set the values of the dofs. More...

void	set_dofs (const unsigned &t, DoubleVector &dofs)
	Set the history values of the dofs. More...

void	set_dofs (const unsigned &t, Vector< double * > &dof_pt)

void	add_to_dofs (const double &lambda, const DoubleVector &increment_dofs)
	Add lambda x incremenet_dofs[l] to the l-th dof. More...

double *	global_dof_pt (const unsigned &i)

double &	dof (const unsigned &i)
	i-th dof in the problem More...

double	dof (const unsigned &i) const
	i-th dof in the problem (const version) More...

double *&	dof_pt (const unsigned &i)
	Pointer to i-th dof in the problem. More...

double *	dof_pt (const unsigned &i) const
	Pointer to i-th dof in the problem (const version) More...

virtual void	get_inverse_mass_matrix_times_residuals (DoubleVector &Mres)

virtual void	get_dvaluesdt (DoubleVector &f)

virtual void	get_residuals (DoubleVector &residuals)
	Get the total residuals Vector for the problem. More...

virtual void	get_jacobian (DoubleVector &residuals, DenseDoubleMatrix &jacobian)

virtual void	get_jacobian (DoubleVector &residuals, CRDoubleMatrix &jacobian)

virtual void	get_jacobian (DoubleVector &residuals, CCDoubleMatrix &jacobian)

virtual void	get_jacobian (DoubleVector &residuals, SumOfMatrices &jacobian)

void	get_fd_jacobian (DoubleVector &residuals, DenseMatrix< double > &jacobian)
	Get the full Jacobian by finite differencing. More...

void	get_derivative_wrt_global_parameter (double *const &parameter_pt, DoubleVector &result)

void	get_hessian_vector_products (DoubleVectorWithHaloEntries const &Y, Vector< DoubleVectorWithHaloEntries > const &C, Vector< DoubleVectorWithHaloEntries > &product)

void	solve_eigenproblem (const unsigned &n_eval, Vector< std::complex< double >> &eigenvalue, Vector< DoubleVector > &eigenvector, const bool &steady=true)
	Solve the eigenproblem. More...

void	solve_eigenproblem (const unsigned &n_eval, Vector< std::complex< double >> &eigenvalue, const bool &steady=true)

virtual void	get_eigenproblem_matrices (CRDoubleMatrix &mass_matrix, CRDoubleMatrix &main_matrix, const double &shift=0.0)

void	assign_eigenvector_to_dofs (DoubleVector &eigenvector)
	Assign the eigenvector passed to the function to the dofs. More...

void	add_eigenvector_to_dofs (const double &epsilon, const DoubleVector &eigenvector)

void	store_current_dof_values ()
	Store the current values of the degrees of freedom. More...

void	restore_dof_values ()
	Restore the stored values of the degrees of freedom. More...

void	enable_jacobian_reuse ()

void	disable_jacobian_reuse ()
	Disable recycling of Jacobian in Newton iteration. More...

bool	jacobian_reuse_is_enabled ()
	Is recycling of Jacobian in Newton iteration enabled? More...

bool &	use_predictor_values_as_initial_guess ()

void	newton_solve ()
	Use Newton method to solve the problem. More...

void	enable_globally_convergent_newton_method ()
	enable globally convergent Newton method More...

void	disable_globally_convergent_newton_method ()
	disable globally convergent Newton method More...

void	newton_solve (unsigned const &max_adapt)

void	steady_newton_solve (unsigned const &max_adapt=0)

void	copy (Problem *orig_problem_pt)

virtual Problem *	make_copy ()

virtual void	read (std::ifstream &restart_file, bool &unsteady_restart)

virtual void	read (std::ifstream &restart_file)

virtual void	dump (std::ofstream &dump_file) const

void	dump (const std::string &dump_file_name) const

void	delete_all_external_storage ()

virtual void	symmetrise_eigenfunction_for_adaptive_pitchfork_tracking ()

double *	bifurcation_parameter_pt () const

void	get_bifurcation_eigenfunction (Vector< DoubleVector > &eigenfunction)

void	activate_fold_tracking (double *const &parameter_pt, const bool &block_solve=true)

void	activate_bifurcation_tracking (double *const &parameter_pt, const DoubleVector &eigenvector, const bool &block_solve=true)

void	activate_bifurcation_tracking (double *const &parameter_pt, const DoubleVector &eigenvector, const DoubleVector &normalisation, const bool &block_solve=true)

void	activate_pitchfork_tracking (double *const &parameter_pt, const DoubleVector &symmetry_vector, const bool &block_solve=true)

void	activate_hopf_tracking (double *const &parameter_pt, const bool &block_solve=true)

void	activate_hopf_tracking (double *const &parameter_pt, const double &omega, const DoubleVector &null_real, const DoubleVector &null_imag, const bool &block_solve=true)

void	deactivate_bifurcation_tracking ()

void	reset_assembly_handler_to_default ()
	Reset the system to the standard non-augemented state. More...

double	arc_length_step_solve (double *const &parameter_pt, const double &ds, const unsigned &max_adapt=0)

double	arc_length_step_solve (Data *const &data_pt, const unsigned &data_index, const double &ds, const unsigned &max_adapt=0)

void	reset_arc_length_parameters ()

int &	sign_of_jacobian ()

void	explicit_timestep (const double &dt, const bool &shift_values=true)
	Take an explicit timestep of size dt. More...

void	unsteady_newton_solve (const double &dt)

void	unsteady_newton_solve (const double &dt, const bool &shift_values)

void	unsteady_newton_solve (const double &dt, const unsigned &max_adapt, const bool &first, const bool &shift=true)

double	doubly_adaptive_unsteady_newton_solve (const double &dt, const double &epsilon, const unsigned &max_adapt, const bool &first, const bool &shift=true)

double	doubly_adaptive_unsteady_newton_solve (const double &dt, const double &epsilon, const unsigned &max_adapt, const unsigned &suppress_resolve_after_spatial_adapt_flag, const bool &first, const bool &shift=true)

double	adaptive_unsteady_newton_solve (const double &dt_desired, const double &epsilon)

double	adaptive_unsteady_newton_solve (const double &dt_desired, const double &epsilon, const bool &shift_values)

void	assign_initial_values_impulsive ()

void	assign_initial_values_impulsive (const double &dt)

void	calculate_predictions ()
	Calculate predictions. More...

void	enable_mass_matrix_reuse ()

void	disable_mass_matrix_reuse ()

bool	mass_matrix_reuse_is_enabled ()
	Return whether the mass matrix is being reused. More...

void	refine_uniformly (const Vector< unsigned > &nrefine_for_mesh)

void	refine_uniformly (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh)

void	refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	refine_uniformly (DocInfo &doc_info)

void	refine_uniformly_and_prune (DocInfo &doc_info)

void	refine_uniformly ()

void	refine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
	Do uniform refinement for submesh i_mesh with documentation. More...

void	refine_uniformly (const unsigned &i_mesh)
	Do uniform refinement for submesh i_mesh without documentation. More...

void	p_refine_uniformly (const Vector< unsigned > &nrefine_for_mesh)

void	p_refine_uniformly (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	p_refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh)

void	p_refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	p_refine_uniformly (DocInfo &doc_info)

void	p_refine_uniformly_and_prune (DocInfo &doc_info)

void	p_refine_uniformly ()

void	p_refine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
	Do uniform p-refinement for submesh i_mesh with documentation. More...

void	p_refine_uniformly (const unsigned &i_mesh)
	Do uniform p-refinement for submesh i_mesh without documentation. More...

void	refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)

void	refine_selected_elements (const Vector< RefineableElement * > &elements_to_be_refined_pt)

void	refine_selected_elements (const unsigned &i_mesh, const Vector< unsigned > &elements_to_be_refined)

void	refine_selected_elements (const unsigned &i_mesh, const Vector< RefineableElement * > &elements_to_be_refined_pt)

void	refine_selected_elements (const Vector< Vector< unsigned >> &elements_to_be_refined)

void	refine_selected_elements (const Vector< Vector< RefineableElement * >> &elements_to_be_refined_pt)

void	p_refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)

void	p_refine_selected_elements (const Vector< PRefineableElement * > &elements_to_be_refined_pt)

void	p_refine_selected_elements (const unsigned &i_mesh, const Vector< unsigned > &elements_to_be_refined)

void	p_refine_selected_elements (const unsigned &i_mesh, const Vector< PRefineableElement * > &elements_to_be_refined_pt)

void	p_refine_selected_elements (const Vector< Vector< unsigned >> &elements_to_be_refined)

void	p_refine_selected_elements (const Vector< Vector< PRefineableElement * >> &elements_to_be_refined_pt)

unsigned	unrefine_uniformly ()

unsigned	unrefine_uniformly (const unsigned &i_mesh)

void	p_unrefine_uniformly (DocInfo &doc_info)

void	p_unrefine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
	Do uniform p-unrefinement for submesh i_mesh without documentation. More...

void	adapt (unsigned &n_refined, unsigned &n_unrefined)

void	adapt ()

void	p_adapt (unsigned &n_refined, unsigned &n_unrefined)

void	p_adapt ()

void	adapt_based_on_error_estimates (unsigned &n_refined, unsigned &n_unrefined, Vector< Vector< double >> &elemental_error)

void	adapt_based_on_error_estimates (Vector< Vector< double >> &elemental_error)

void	get_all_error_estimates (Vector< Vector< double >> &elemental_error)

void	doc_errors (DocInfo &doc_info)
	Get max and min error for all elements in submeshes. More...

void	doc_errors ()
	Get max and min error for all elements in submeshes. More...

void	enable_info_in_newton_solve ()

void	disable_info_in_newton_solve ()
	Disable the output of information when in the newton solver. More...

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

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

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

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

virtual void	actions_before_explicit_stage ()

virtual void	actions_after_explicit_stage ()

Protected Attributes
unsigned	Nx
	Number of elements in the x direction. More...

unsigned	Ny
	Number of elements in the y direction. More...

double	Lx
	Width of domain. More...

double	Ly
	Height of domain. More...

double	T
	Period of oscillation. More...

AlgebraicFSIDrivenCavityMesh< ELEMENT > *	Bulk_mesh_pt
	Pointer to the "bulk" mesh. More...

OneDLagrangianMesh< FSIHermiteBeamElement > *	Wall_mesh_pt
	Pointer to the "wall" mesh. More...

Node *	Left_node_pt
	Pointer to the left control node. More...

Node *	Right_node_pt
	Pointer to right control node. More...

Node *	Wall_node_pt
	Pointer to control node on the wall. More...

MeshAsGeomObject *	Wall_geom_object_pt

Protected Attributes inherited from oomph::Problem
Vector< Problem * >	Copy_of_problem_pt

std::map< double *, bool >	Calculate_dparameter_analytic

bool	Calculate_hessian_products_analytic

LinearAlgebraDistribution *	Dof_distribution_pt

Vector< double * >	Dof_pt
	Vector of pointers to dofs. More...

DoubleVectorWithHaloEntries	Element_count_per_dof

double	Relaxation_factor

double	Newton_solver_tolerance

unsigned	Max_newton_iterations
	Maximum number of Newton iterations. More...

unsigned	Nnewton_iter_taken

Vector< double >	Max_res
	Maximum residuals at start and after each newton iteration. More...

double	Max_residuals

bool	Time_adaptive_newton_crash_on_solve_fail

bool	Jacobian_reuse_is_enabled
	Is re-use of Jacobian in Newton iteration enabled? Default: false. More...

bool	Jacobian_has_been_computed

bool	Problem_is_nonlinear

bool	Pause_at_end_of_sparse_assembly

bool	Doc_time_in_distribute

unsigned	Sparse_assembly_method

unsigned	Sparse_assemble_with_arrays_initial_allocation

unsigned	Sparse_assemble_with_arrays_allocation_increment

Vector< Vector< unsigned > >	Sparse_assemble_with_arrays_previous_allocation

double	Numerical_zero_for_sparse_assembly

double	FD_step_used_in_get_hessian_vector_products

bool	Mass_matrix_reuse_is_enabled

bool	Mass_matrix_has_been_computed

bool	Discontinuous_element_formulation

double	Minimum_dt
	Minimum desired dt: if dt falls below this value, exit. More...

double	Maximum_dt
	Maximum desired dt. More...

double	DTSF_max_increase

double	DTSF_min_decrease

double	Minimum_dt_but_still_proceed

bool	Scale_arc_length
	Boolean to control whether arc-length should be scaled. More...

double	Desired_proportion_of_arc_length
	Proportion of the arc-length to taken by the parameter. More...

double	Theta_squared

int	Sign_of_jacobian
	Storage for the sign of the global Jacobian. More...

double	Continuation_direction

double	Parameter_derivative
	Storage for the derivative of the global parameter wrt arc-length. More...

double	Parameter_current
	Storage for the present value of the global parameter. More...

bool	Use_continuation_timestepper
	Boolean to control original or new storage of dof stuff. More...

unsigned	Dof_derivative_offset

unsigned	Dof_current_offset

Vector< double >	Dof_derivative
	Storage for the derivative of the problem variables wrt arc-length. More...

Vector< double >	Dof_current
	Storage for the present values of the variables. More...

double	Ds_current
	Storage for the current step value. More...

unsigned	Desired_newton_iterations_ds

double	Minimum_ds
	Minimum desired value of arc-length. More...

bool	Bifurcation_detection
	Boolean to control bifurcation detection via determinant of Jacobian. More...

bool	Bisect_to_find_bifurcation
	Boolean to control wheter bisection is used to located bifurcation. More...

bool	First_jacobian_sign_change
	Boolean to indicate whether a sign change has occured in the Jacobian. More...

bool	Arc_length_step_taken
	Boolean to indicate whether an arc-length step has been taken. More...

bool	Use_finite_differences_for_continuation_derivatives

OomphCommunicator *	Communicator_pt
	The communicator for this problem. More...

bool	Always_take_one_newton_step

double	Timestep_reduction_factor_after_nonconvergence

bool	Keep_temporal_error_below_tolerance

Additional Inherited Members
Public Types inherited from oomph::Problem
typedef void(*	SpatialErrorEstimatorFctPt) (Mesh *&mesh_pt, Vector< double > &elemental_error)
	Function pointer for spatial error estimator. More...

typedef void(*	SpatialErrorEstimatorWithDocFctPt) (Mesh *&mesh_pt, Vector< double > &elemental_error, DocInfo &doc_info)
	Function pointer for spatial error estimator with doc. More...

Public Attributes inherited from oomph::Problem
bool	Shut_up_in_newton_solve

Static Public Attributes inherited from oomph::Problem
static bool	Suppress_warning_about_actions_before_read_unstructured_meshes

Protected Types inherited from oomph::Problem
enum	Assembly_method { Perform_assembly_using_vectors_of_pairs , Perform_assembly_using_two_vectors , Perform_assembly_using_maps , Perform_assembly_using_lists , Perform_assembly_using_two_arrays }
	Enumerated flags to determine which sparse assembly method is used. More...

Protected Member Functions inherited from oomph::Problem
unsigned	setup_element_count_per_dof ()

virtual void	sparse_assemble_row_or_column_compressed (Vector< int * > &column_or_row_index, Vector< int * > &row_or_column_start, Vector< double * > &value, Vector< unsigned > &nnz, Vector< double * > &residual, bool compressed_row_flag)

virtual void	actions_before_newton_step ()

virtual void	actions_after_newton_step ()

virtual void	actions_after_implicit_timestep ()

virtual void	actions_after_implicit_timestep_and_error_estimation ()

virtual void	actions_before_explicit_timestep ()
	Actions that should be performed before each explicit time step. More...

virtual void	actions_after_explicit_timestep ()
	Actions that should be performed after each explicit time step. More...

virtual void	actions_before_read_unstructured_meshes ()

virtual void	actions_after_read_unstructured_meshes ()

virtual void	actions_after_change_in_global_parameter (double *const &parameter_pt)

virtual void	actions_after_change_in_bifurcation_parameter ()

virtual void	actions_after_parameter_increase (double *const &parameter_pt)

double &	dof_derivative (const unsigned &i)

double &	dof_current (const unsigned &i)

virtual double	global_temporal_error_norm ()

unsigned	newton_solve_continuation (double *const &parameter_pt)

unsigned	newton_solve_continuation (double *const &parameter_pt, DoubleVector &z)

void	calculate_continuation_derivatives (double *const &parameter_pt)

void	calculate_continuation_derivatives (const DoubleVector &z)

void	calculate_continuation_derivatives_fd (double *const &parameter_pt)

bool	does_pointer_correspond_to_problem_data (double *const &parameter_pt)

void	set_consistent_pinned_values_for_continuation ()

Static Protected Attributes inherited from oomph::Problem
static ContinuationStorageScheme	Continuation_time_stepper
	Storage for the single static continuation timestorage object. More...

Detailed Description

template<class ELEMENT>
class FSIDrivenCavityProblem< ELEMENT >

Problem class.

Constructor & Destructor Documentation

◆ FSIDrivenCavityProblem()

template<class ELEMENT >

FSIDrivenCavityProblem< ELEMENT >::FSIDrivenCavityProblem	(	const unsigned &	nx,
		const unsigned &	ny,
		const double &	lx,
		const double &	ly,
		const double &	gap_fraction,
		const double &	period
	)

Constructor for the collapsible channel problem.

Constructor: The arguments are the number of elements, the lengths of the domain, the fractional height of the gap next to the moving lid and the period of the lid's oscillation

 {
  
  // Store problem parameters
  Nx=nx;
  Ny=ny;
  Lx=lx;
  Ly=ly;
  
  // Period of lid oscillation
  T=period;
  
  
  // Allow for crappy initial guess
  Max_newton_iterations = 20;
  Max_residuals = 1.0e8;
  
  // Allocate the timestepper -- this constructs the Problem's 
  // time object with a sufficient amount of storage to store the
  // previous timsteps. 
  BDF<2>* fluid_time_stepper_pt=new BDF<2>;
  add_time_stepper_pt(fluid_time_stepper_pt);
  
  // Create the timestepper for the solid
  Newmark<2>* solid_time_stepper_pt=new Newmark<2>;
  //Steady<2>* solid_time_stepper_pt=new Steady<2>;
  add_time_stepper_pt(solid_time_stepper_pt);
  
  // Geometric object that represents the undeformed wall: 
  // A straight line at height y=ly; starting at x=0.
  UndeformedWall* undeformed_wall_pt=new UndeformedWall(0.0,ly);
  
  //Create the "wall" mesh with FSI Hermite elements
  Wall_mesh_pt = new OneDLagrangianMesh<FSIHermiteBeamElement>
   (nx,lx,undeformed_wall_pt,solid_time_stepper_pt);
  
  
  // Build a geometric object (one Lagrangian, two Eulerian coordinates)
  // from the wall mesh
  Wall_geom_object_pt=
   new MeshAsGeomObject(Wall_mesh_pt); 
  
  //Build bulk (fluid) mesh
  Bulk_mesh_pt =  new AlgebraicFSIDrivenCavityMesh<ELEMENT>
   (nx, ny, lx, ly, gap_fraction, Wall_geom_object_pt,fluid_time_stepper_pt);
  
  
  // Add the sub meshes to the problem
  add_sub_mesh(Bulk_mesh_pt);
  add_sub_mesh(Wall_mesh_pt);
  
  // Combine all submeshes into a single Mesh
  build_global_mesh();
    
  
  // Complete build of fluid mesh
  //----------------------------- 
  
  // Loop over the elements to set up element-specific 
  // things that cannot be handled by constructor
  unsigned n_element=Bulk_mesh_pt->nelement();
  for(unsigned e=0;e<n_element;e++)
   {
    // Upcast from GeneralisedElement to the present element
    ELEMENT* el_pt = dynamic_cast<ELEMENT*>(Bulk_mesh_pt->element_pt(e));
    
    //Set the Reynolds number
    el_pt->re_pt() = &Global_Physical_Variables::Re;
  
    // Set the Womersley number
    el_pt->re_st_pt() = &Global_Physical_Variables::ReSt;
    
   } // end loop over elements
  
  
  
  // Apply boundary conditions for fluid
  //------------------------------------
  
  // Pin the velocity on all boundaries apart from 1 and 5
  // (the gaps above the driven lid)
  for (unsigned ibound=0;ibound<6;ibound++)
   {
    if ((ibound!=1)&&(ibound!=5))
     {
      unsigned num_nod= bulk_mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        for(unsigned i=0;i<2;i++)
         {
          bulk_mesh_pt()->boundary_node_pt(ibound, inod)->pin(i);
         }
       }
     }
   }//end of pin_velocity
  
  
  // Complete build of wall elements
  //--------------------------------
   
  //Loop over the elements to set physical parameters etc.
  n_element = wall_mesh_pt()->nelement();
  for(unsigned e=0;e<n_element;e++)
   {
    // Upcast to the specific element type
    FSIHermiteBeamElement *elem_pt = 
     dynamic_cast<FSIHermiteBeamElement*>(wall_mesh_pt()->element_pt(e));
     
    // Set physical parameters for each element:
    elem_pt->h_pt() = &Global_Physical_Variables::H;
     
    // Function that specifies the load ratios
    elem_pt->q_pt() = &Global_Physical_Variables::Q;
  
    // Set the undeformed shape for each element
    elem_pt->undeformed_beam_pt() = undeformed_wall_pt;
  
    // The normal on the wall elements as computed by the FSIHermiteElements
    // points away from the fluid rather than into the fluid (as assumed
    // by default)
    elem_pt->set_normal_pointing_out_of_fluid();
  
    // Timescale ratio for solid
    elem_pt->lambda_sq_pt() = &Global_Physical_Variables::Lambda_sq;
  
   } // end of loop over elements
  
  
  // Boundary conditions for wall mesh
  //----------------------------------
  
  // Set the boundary conditions: Each end of the beam is fixed in space
  // Loop over the boundaries (ends of the beam)
  for(unsigned b=0;b<2;b++)
   {
    // Pin displacements in both x and y directions
    wall_mesh_pt()->boundary_node_pt(b,0)->pin_position(0); 
    wall_mesh_pt()->boundary_node_pt(b,0)->pin_position(1);
   }
   
  
  
  
  //Choose control nodes
  //---------------------
   
  // Left boundary
  unsigned ibound=5; 
  unsigned num_nod= bulk_mesh_pt()->nboundary_node(ibound);
  unsigned control_nod=num_nod/2;
  Left_node_pt= bulk_mesh_pt()->boundary_node_pt(ibound, control_nod);
   
  // Right boundary
  ibound=1; 
  num_nod= bulk_mesh_pt()->nboundary_node(ibound);
  control_nod=num_nod/2;
  Right_node_pt= bulk_mesh_pt()->boundary_node_pt(ibound, control_nod);
   
  
  // Set the pointer to the control node on the wall
  num_nod= wall_mesh_pt()->nnode();
  Wall_node_pt=wall_mesh_pt()->node_pt(nx/2);
  
  
  
  
  // Setup FSI
  //----------
  
  // The velocity of the fluid nodes on the wall (fluid mesh boundary 3)
  // is set by the wall motion -- hence the no-slip condition must be
  // re-applied whenever a node update is performed for these nodes. 
  // Such tasks may be performed automatically by the auxiliary node update 
  // function specified by a function pointer:
  ibound=3; 
  num_nod= bulk_mesh_pt()->nboundary_node(ibound);
  for (unsigned inod=0;inod<num_nod;inod++)
   {
    static_cast<AlgebraicNode*>(
     bulk_mesh_pt()->boundary_node_pt(ibound, inod))->
     set_auxiliary_node_update_fct_pt(
      FSI_functions::apply_no_slip_on_moving_wall);
   }
   
   
  // Work out which fluid dofs affect the residuals of the wall elements:
  // We pass the boundary between the fluid and solid meshes and 
  // pointers to the meshes. The interaction boundary is boundary 3 of the 
  // 2D fluid mesh.
  FSI_functions::setup_fluid_load_info_for_solid_elements<ELEMENT,2>
   (this,3,Bulk_mesh_pt,Wall_mesh_pt);
   
  // Setup equation numbering scheme
  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl; 
   
  
 }//end of constructor

References oomph::FSI_functions::apply_no_slip_on_moving_wall(), b, e(), Global_Physical_Variables::H, oomph::KirchhoffLoveBeamEquations::h_pt(), i, Global_Physical_Variables::Lambda_sq, oomph::KirchhoffLoveBeamEquations::lambda_sq_pt(), Mesh_Parameters::lx, Global_Parameters::Lx, Mesh_Parameters::ly, Global_Parameters::Ly, oomph::Locate_zeta_helpers::Max_newton_iterations, Mesh_Parameters::nx, GlobalParameters::Nx, Mesh_Parameters::ny, GlobalParameters::Ny, Global_Physical_Variables::Q, oomph::FSIWallElement::q_pt(), Global_Physical_Variables::Re, Global_Physical_Variables::ReSt, oomph::FSIHermiteBeamElement::set_normal_pointing_out_of_fluid(), and oomph::KirchhoffLoveBeamEquations::undeformed_beam_pt().

◆ ~FSIDrivenCavityProblem()

template<class ELEMENT >

FSIDrivenCavityProblem< ELEMENT >::~FSIDrivenCavityProblem ( )

inline

Destructor.

   { 
    // Mesh gets killed in general problem destructor
   }

Member Function Documentation

◆ actions_after_newton_solve()

template<class ELEMENT >

void FSIDrivenCavityProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update the problem after solve (empty)

Reimplemented from oomph::Problem.

Reimplemented in SegregatedFSIDrivenCavityProblem< ELEMENT >.

203 {}

◆ actions_before_implicit_timestep()

template<class ELEMENT >

void FSIDrivenCavityProblem< ELEMENT >::actions_before_implicit_timestep ( )

inlinevirtual

Update the velocity boundary condition on the moving lid.

Reimplemented from oomph::Problem.

   {
    // Oscillating lid
    unsigned ibound=0;
    unsigned num_nod=bulk_mesh_pt()->nboundary_node(ibound);
    for (unsigned inod=0;inod<num_nod;inod++)
     {
      // Which node are we dealing with?
      Node* node_pt=bulk_mesh_pt()->boundary_node_pt(ibound,inod);
      
      // Set velocity
      double veloc=1.0-cos(2.0*MathematicalConstants::Pi*time_pt()->time()/T);
      
      // Apply no slip
      node_pt->set_value(0,veloc);
     }
   }

References cos(), BiharmonicTestFunctions2::Pi, and oomph::Data::set_value().

◆ actions_before_newton_convergence_check()

template<class ELEMENT >

void FSIDrivenCavityProblem< ELEMENT >::actions_before_newton_convergence_check ( )

inlinevirtual

Update before checking Newton convergence: Update the nodal positions in the fluid mesh in response to possible changes in the wall shape

Reimplemented from oomph::Problem.

Reimplemented in SegregatedFSIDrivenCavityProblem< ELEMENT >.

   {
    Bulk_mesh_pt->node_update();
   }

◆ actions_before_newton_solve()

template<class ELEMENT >

void FSIDrivenCavityProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

Reimplemented in SegregatedFSIDrivenCavityProblem< ELEMENT >.

200 {}

◆ bulk_mesh_pt()

template<class ELEMENT >

AlgebraicFSIDrivenCavityMesh<ELEMENT>* FSIDrivenCavityProblem< ELEMENT >::bulk_mesh_pt ( )

inline

Access function for the specific bulk (fluid) mesh.

   {
    // Upcast from pointer to the Mesh base class to the specific 
    // element type that we're using here.
    return dynamic_cast<
     AlgebraicFSIDrivenCavityMesh<ELEMENT>*>
     (Bulk_mesh_pt);
   }

◆ doc_solution()

template<class ELEMENT >

void FSIDrivenCavityProblem< ELEMENT >::doc_solution	(	DocInfo &	doc_info,
		ofstream &	trace_file
	)

Doc the solution.

 { 
  
  // Doc fsi
  if (CommandLineArgs::Argc>1)
   {
    FSI_functions::doc_fsi<AlgebraicNode>(Bulk_mesh_pt,Wall_mesh_pt,doc_info);
   }
  
  ofstream some_file;
  char filename[100];
  
  // Number of plot points
  unsigned npts;
  npts=5; 
  
  // Output fluid solution 
  sprintf(filename,"%s/soln%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  bulk_mesh_pt()->output(some_file,npts);
  some_file.close();
  
  // Document the wall shape
  sprintf(filename,"%s/beam%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  wall_mesh_pt()->output(some_file,npts);
  some_file.close();
    
  
  // Write trace file 
  trace_file << time_pt()->time() << " "
             << Wall_node_pt->x(1) << " "
             << Left_node_pt->value(0) << " "
             << Right_node_pt->value(0) << " "
             << std::endl; 
  
 } // end_of_doc_solution

References oomph::CommandLineArgs::Argc, oomph::DocInfo::directory(), MergeRestartFiles::filename, and oomph::DocInfo::number().

◆ set_initial_condition()

template<class ELEMENT >

void FSIDrivenCavityProblem< ELEMENT >::set_initial_condition

virtual

Apply initial conditions.

Reimplemented from oomph::Problem.

 { 
  // Impulsive start for wall
  wall_mesh_pt()->assign_initial_values_impulsive();
  
  // Update the mesh
  bulk_mesh_pt()->node_update();
  
  // Loop over the nodes to set initial guess everywhere
  unsigned num_nod = bulk_mesh_pt()->nnode();
  for (unsigned n=0;n<num_nod;n++)
   {
    // Get nodal coordinates
    Vector<double> x(2);
    x[0]=bulk_mesh_pt()->node_pt(n)->x(0);
    x[1]=bulk_mesh_pt()->node_pt(n)->x(1);
    
    // Assign initial condition: Zero flow
    bulk_mesh_pt()->node_pt(n)->set_value(0,0.0);
    bulk_mesh_pt()->node_pt(n)->set_value(1,0.0);
   } 
  
  // Assign initial values for an impulsive start
  bulk_mesh_pt()->assign_initial_values_impulsive();
  
  
 } // end of set_initial_condition

References n, and plotDoE::x.

◆ wall_mesh_pt()

template<class ELEMENT >

OneDLagrangianMesh<FSIHermiteBeamElement>* FSIDrivenCavityProblem< ELEMENT >::wall_mesh_pt ( )

inline

Access function for the wall mesh.

   {
    return Wall_mesh_pt;
   } // end of access to wall mesh

Member Data Documentation

◆ Bulk_mesh_pt

template<class ELEMENT >

AlgebraicFSIDrivenCavityMesh<ELEMENT>* FSIDrivenCavityProblem< ELEMENT >::Bulk_mesh_pt

protected

Pointer to the "bulk" mesh.

Referenced by SegregatedFSIDrivenCavityProblem< ELEMENT >::actions_before_newton_step().

◆ Left_node_pt

template<class ELEMENT >

Node* FSIDrivenCavityProblem< ELEMENT >::Left_node_pt

protected

Pointer to the left control node.

◆ Lx

template<class ELEMENT >

double FSIDrivenCavityProblem< ELEMENT >::Lx

protected

Width of domain.

◆ Ly

template<class ELEMENT >

double FSIDrivenCavityProblem< ELEMENT >::Ly

protected

Height of domain.

◆ Nx

template<class ELEMENT >

unsigned FSIDrivenCavityProblem< ELEMENT >::Nx

protected

Number of elements in the x direction.

◆ Ny

template<class ELEMENT >

unsigned FSIDrivenCavityProblem< ELEMENT >::Ny

protected

Number of elements in the y direction.

◆ Right_node_pt

template<class ELEMENT >

Node* FSIDrivenCavityProblem< ELEMENT >::Right_node_pt

protected

Pointer to right control node.

◆ T

template<class ELEMENT >

double FSIDrivenCavityProblem< ELEMENT >::T

protected

Period of oscillation.

◆ Wall_geom_object_pt

template<class ELEMENT >

MeshAsGeomObject* FSIDrivenCavityProblem< ELEMENT >::Wall_geom_object_pt

protected

Pointer to geometric object (one Lagrangian, two Eulerian coordinates) that will be built from the wall mesh

Referenced by SegregatedFSIDrivenCavityProblem< ELEMENT >::SegregatedFSIDrivenCavityProblem().

◆ Wall_mesh_pt

template<class ELEMENT >

OneDLagrangianMesh<FSIHermiteBeamElement>* FSIDrivenCavityProblem< ELEMENT >::Wall_mesh_pt

protected

Pointer to the "wall" mesh.

◆ Wall_node_pt

template<class ELEMENT >

Node* FSIDrivenCavityProblem< ELEMENT >::Wall_node_pt

protected

Pointer to control node on the wall.

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

fsi_driven_cavity_problem.h

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT> class FSIDrivenCavityProblem< ELEMENT >

Constructor & Destructor Documentation

◆ FSIDrivenCavityProblem()

◆ ~FSIDrivenCavityProblem()

Member Function Documentation

◆ actions_after_newton_solve()

◆ actions_before_implicit_timestep()

◆ actions_before_newton_convergence_check()

◆ actions_before_newton_solve()

◆ bulk_mesh_pt()

◆ doc_solution()

◆ set_initial_condition()

◆ wall_mesh_pt()

Member Data Documentation

◆ Bulk_mesh_pt

◆ Left_node_pt

◆ Lx

◆ Ly

◆ Nx

◆ Ny

◆ Right_node_pt

◆ T

◆ Wall_geom_object_pt

◆ Wall_mesh_pt

◆ Wall_node_pt

template<class ELEMENT>
class FSIDrivenCavityProblem< ELEMENT >