Inheritance diagram for TiltedCavityProblem< ELEMENT >:

Public Member Functions
	TiltedCavityProblem ()
	Problem constructor. More...

void	actions_before_newton_solve ()
	Update before Newton solve. More...

void	actions_after_newton_step ()

void	doc_solution ()
	Doc the solution. More...

void	create_parall_outflow_lagrange_elements (const unsigned &b, Mesh const &bulk_mesh_pt, Mesh const &surface_mesh_pt)

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 ()

Private Attributes
Mesh *	Bulk_mesh_pt
	Pointer to the "bulk" mesh. More...

Mesh *	Surface_mesh_P_pt
	Pointer to the "surface" mesh. More...

Preconditioner *	Prec_pt
	Preconditioner. More...

Preconditioner *	Navier_stokes_prec_pt
	Preconditioner for the Navier-Stokes block. More...

Preconditioner *	F_preconditioner_pt
	Preconditioner for the momentum block. More...

Preconditioner *	P_preconditioner_pt
	Preconditioner for the pressure block. More...

IterativeLinearSolver *	Solver_pt
	Iterative linear solver. More...

unsigned	Bottom_bound
	Bottom boundary. More...

unsigned	Right_bound
	Right boundary. More...

unsigned	Top_bound
	Top boundary. More...

unsigned	Left_bound
	Left boundary. More...

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_after_newton_solve ()

virtual void	actions_before_newton_convergence_check ()

virtual void	actions_before_newton_step ()

virtual void	actions_before_implicit_timestep ()

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 void	set_initial_condition ()

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 ()

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

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

Constructor & Destructor Documentation

◆ TiltedCavityProblem()

template<class ELEMENT >

TiltedCavityProblem< ELEMENT >::TiltedCavityProblem

Problem constructor.

Constructor: Pass number of elements in x and y directions and lengths

 {
   // Alias the namespace for convenience
   namespace GV = Global_Variables;
  
   // Assign the enumerations for the boundaries.
   Bottom_bound = 0;
   Right_bound = 1;
   Top_bound = 2;
   Left_bound = 3;
   
   // First we create the tilted cavity mesh.
   Bulk_mesh_pt = new SlopingQuadMesh<ELEMENT>(GV::Noel,GV::Noel,
                                               GV::Lx,GV::Ly,
                                               GV::Ang_rad); 
  
   // Set the boundary conditions, recall that the boundaries are:
   //
   //             2 non slip
   //         ----------
   //         |        |
   // 3 Inflow|        |1 P.O. (parallel outflow)
   //         |        |
   //         ----------
   //             0 non slip
   
   // Parallel outflow boundary is located at 1.
   const unsigned po_bound = Right_bound; 
  
   // Create a "surface mesh" that will contain only
   // ImposeParallelOutflowElements in boundary 1
   // The constructor just creates the mesh without
   // giving it any elements, nodes, etc.
   Surface_mesh_P_pt = new Mesh;
  
   // Create ImposeParallelOutflowElement from all elements that are
   // adjacent to the Neumann boundary.
   create_parall_outflow_lagrange_elements(po_bound,
                                           Bulk_mesh_pt,
                                           Surface_mesh_P_pt);
  
   // Add the two meshes to the problem.
   add_sub_mesh(Bulk_mesh_pt);
   add_sub_mesh(Surface_mesh_P_pt);
  
   // combine all sub-meshes into a single mesh.
   build_global_mesh();
  
   // All nodes are free by default
   // just pin the ones that have Dirichlet conditions
   const unsigned num_bound = mesh_pt()->nboundary();
   for(unsigned ibound=0;ibound<num_bound;ibound++)
   { 
     if(ibound != po_bound)
     {
       unsigned num_nod=mesh_pt()->nboundary_node(ibound);
       for (unsigned inod=0;inod<num_nod;inod++)
       {
         // Get node
         Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
  
         nod_pt->pin(0);
         nod_pt->pin(1);
         
         nod_pt->set_value(0,0);
         nod_pt->set_value(1,0);
       }
     }
   }
  
   //Complete the problem setup to make the elements fully functional
  
   //Loop over the elements
   unsigned n_el = Bulk_mesh_pt->nelement();
   for(unsigned e=0;e<n_el;e++)
   {
     //Cast to a fluid element
     ELEMENT *el_pt = dynamic_cast<ELEMENT*>(Bulk_mesh_pt->element_pt(e));
  
     //Set the Reynolds number, etc
     el_pt->re_pt() = &GV::Re;
   } // for(unsigned e=0;e<n_el;e++)
  
   //Assign equation numbers
   oomph_info << "\n equation numbers : "
              << assign_eqn_numbers() << std::endl;
  
  
   // We choose either trilinos or oomph-lib's GMRES as our linear solver
   if(GV::Use_trilinos)
   {
 #ifdef OOMPH_HAS_TRILINOS
     // Create the trilinos solver.
     TrilinosAztecOOSolver* trilinos_solver_pt = new TrilinosAztecOOSolver;
     trilinos_solver_pt->solver_type() = TrilinosAztecOOSolver::GMRES;
  
     // Store the solver pointer.
     Solver_pt = trilinos_solver_pt;
 #endif
   }
   else
   {
     // Create oomph-lib iterative linear solver.
     IterativeLinearSolver* solver_pt = new GMRES<CRDoubleMatrix>;
     
     // We use RHS preconditioning. Note that by default,
     // left hand preconditioning is used.
     static_cast<GMRES<CRDoubleMatrix>*>(solver_pt)
       ->set_preconditioner_RHS();
  
     // Store the solver pointer.
     Solver_pt = solver_pt;
   }
  
   // Set up other solver parameters.
   Solver_pt->tolerance() = 1.0e-6;
  
   // Overview of solvers:
   //
   // The Jacobian takes the block form:
   // 
   // | F_ns | L^T |
   // |------------|
   // |   L  | 0   |
   //
   // where L correspond to the constrained block,
   // F_ns is the Navier-Stokes block with the following block structure
   //
   // |  F | B^T |
   // |----------|
   // |  B |  0  |
   //
   //
   // The lagrange enforced flow preconditioner takes the form:
   // F_ns + L^T inv(W) L |
   // --------------------------
   //                     | W
   //
   // where W=LL^T
   //
   // We use SuperLU to solve the W block (2,2)
   //
   // For the (1,1) block, we can use SuperLU or the LSC preconditioner.
  
  
   // Create the preconditioner
   LagrangeEnforcedFlowPreconditioner* lgr_prec_pt
     = new LagrangeEnforcedFlowPreconditioner;
  
   // Create the vector of mesh pointers!
   Vector<Mesh*> mesh_pt;
   mesh_pt.resize(2,0);
   mesh_pt[0] = Bulk_mesh_pt;
   mesh_pt[1] = Surface_mesh_P_pt;
  
   lgr_prec_pt->set_meshes(mesh_pt);
   
   NavierStokesSchurComplementPreconditioner* lsc_prec_pt = 0;
   if(GV::Use_lsc)
   {
     // Create the NS LSC preconditioner.
     lsc_prec_pt = new NavierStokesSchurComplementPreconditioner(this);
     lsc_prec_pt->set_navier_stokes_mesh(Bulk_mesh_pt);
     lsc_prec_pt->use_lsc();
     lgr_prec_pt->set_navier_stokes_preconditioner(lsc_prec_pt);
  
     if(GV::Use_amg_for_f)
     {
       if(GV::Visc == 0)
       {
         F_preconditioner_pt
           = Lagrange_Enforced_Flow_Preconditioner_Subsidiary_Operator_Helper::
             boomer_amg_for_2D_momentum_simple_visc();
         lsc_prec_pt->set_f_preconditioner(F_preconditioner_pt);
       }
       else
       {
         F_preconditioner_pt
           = Lagrange_Enforced_Flow_Preconditioner_Subsidiary_Operator_Helper::
             boomer_amg_for_2D_momentum_stressdiv_visc();
         lsc_prec_pt->set_f_preconditioner(F_preconditioner_pt);
       }
     }
  
     if(GV::Use_amg_for_p)
     {
       P_preconditioner_pt
         = Lagrange_Enforced_Flow_Preconditioner_Subsidiary_Operator_Helper::
           boomer_amg_for_2D_poisson_problem();
       lsc_prec_pt->set_p_preconditioner(P_preconditioner_pt);
     }
   }
   else
   {
     lgr_prec_pt->set_superlu_for_navier_stokes_preconditioner();
   }
  
   // Store the preconditioner pointers.
   Navier_stokes_prec_pt = lsc_prec_pt;
   Prec_pt = lgr_prec_pt;
  
   // Pass the preconditioner to the solver.
   Solver_pt->preconditioner_pt() = lgr_prec_pt;
  
   // Pass the solver to the problem.
   this->linear_solver_pt() = Solver_pt;
  
   // Set the Newton solver tolerance.
   this->newton_solver_tolerance() = 1.0e-6;
 }

References Global_Variables::Ang_rad, oomph::Lagrange_Enforced_Flow_Preconditioner_Subsidiary_Operator_Helper::boomer_amg_for_2D_momentum_simple_visc(), oomph::Lagrange_Enforced_Flow_Preconditioner_Subsidiary_Operator_Helper::boomer_amg_for_2D_momentum_stressdiv_visc(), oomph::Lagrange_Enforced_Flow_Preconditioner_Subsidiary_Operator_Helper::boomer_amg_for_2D_poisson_problem(), e(), Global_Variables::Lx, Global_Variables::Ly, Global_Variables::Noel, oomph::oomph_info, oomph::Data::pin(), Global_Variables::Re, oomph::NavierStokesSchurComplementPreconditioner::set_f_preconditioner(), oomph::LagrangeEnforcedFlowPreconditioner::set_meshes(), oomph::NavierStokesSchurComplementPreconditioner::set_navier_stokes_mesh(), oomph::LagrangeEnforcedFlowPreconditioner::set_navier_stokes_preconditioner(), oomph::NavierStokesSchurComplementPreconditioner::set_p_preconditioner(), oomph::LagrangeEnforcedFlowPreconditioner::set_superlu_for_navier_stokes_preconditioner(), oomph::Data::set_value(), oomph::TrilinosAztecOOSolver::solver_type(), oomph::IterativeLinearSolver::tolerance(), Global_Variables::Use_amg_for_f, Global_Variables::Use_amg_for_p, Global_Variables::Use_lsc, oomph::NavierStokesSchurComplementPreconditioner::use_lsc(), Global_Variables::Use_trilinos, and Global_Variables::Visc.

Member Function Documentation

◆ actions_after_newton_step()

template<class ELEMENT >

void TiltedCavityProblem< ELEMENT >::actions_after_newton_step ( )

inlinevirtual

Update after Newton step - document the number of iterations required for the iterative solver to converge.

Reimplemented from oomph::Problem.

   {
     // Alias the namespace for convenience
     namespace GV = Global_Variables;
  
     unsigned iters = 0;
     // Get the iteration counts
 #ifdef PARANOID
     IterativeLinearSolver* iterative_solver_pt
       = dynamic_cast<IterativeLinearSolver*>
       (this->linear_solver_pt());
     if(iterative_solver_pt == 0)
     {
       std::ostringstream error_message;
       error_message << "Cannot cast the solver pointer." << std::endl;
  
       throw OomphLibError(error_message.str(),
                           OOMPH_CURRENT_FUNCTION,
                           OOMPH_EXCEPTION_LOCATION);
     }
     else
     {
       iters = iterative_solver_pt->iterations();
       GV::Iterations.push_back(iters);
     }
 #else
     iters = static_cast<IterativeLinearSolver*>
        (this->linear_solver_pt())->iterations();
     GV::Iterations.push_back(iters);
 #endif
  }

References Global_Variables::Iterations, oomph::IterativeLinearSolver::iterations(), OOMPH_CURRENT_FUNCTION, and OOMPH_EXCEPTION_LOCATION.

◆ actions_before_newton_solve()

template<class ELEMENT >

void TiltedCavityProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update before Newton solve.

Reimplemented from oomph::Problem.

   {
     // Alias the namespace for convenience
     namespace GV = Global_Variables;
     GV::Iterations.clear();
  
     // Which is the inflow boundary?
     const unsigned in_bound = Left_bound;
  
     // The number of nodes on a boundary
     unsigned num_nod = mesh_pt()->nboundary_node(in_bound);
     for(unsigned inod=0;inod<num_nod;inod++)
     {
       Node* nod_pt=mesh_pt()->boundary_node_pt(in_bound,inod);
  
       // Pin both velocity components
       nod_pt->pin(0);
       nod_pt->pin(1);
     
       // Get the x and y cartesian coordinates
       double x0=nod_pt->x(0);
       double x1=nod_pt->x(1);
  
       // Tilt x1 by -Ang_rad, this will give us the original coordinate.
       double x1_old = x0*sin(-GV::Ang_rad) + x1*cos(-GV::Ang_rad);
  
       // Now calculate the parabolic inflow at this point.
       double u0_old = (x1_old - GV::Y_min)*(GV::Y_max - x1_old);
    
       // Now apply the rotation to u0_old, using rotation matrices.
       // with x = u0_old and y = 0, i.e. R*[u;0] since we have the
       // velocity in the x direction only. There is no velocity
       // in the y direction.
       double u0=u0_old*cos(GV::Ang_rad);
       double u1=u0_old*sin(GV::Ang_rad);
  
       nod_pt->set_value(0,u0);
       nod_pt->set_value(1,u1);
     } // for  
   }

References Global_Variables::Ang_rad, cos(), Global_Variables::Iterations, oomph::Data::pin(), oomph::Data::set_value(), sin(), oomph::Node::x(), Global::x0, Global_parameters::x1(), Global_Variables::Y_max, and Global_Variables::Y_min.

◆ create_parall_outflow_lagrange_elements()

template<class ELEMENT >

void TiltedCavityProblem< ELEMENT >::create_parall_outflow_lagrange_elements	(	const unsigned &	b,
		Mesh *const &	bulk_mesh_pt,
		Mesh *const &	surface_mesh_pt
	)

Create lagrange elements on boundary b of the Mesh pointed to by bulk_mesh_pt and add them to the Mesh object pointed to by surface_mesh_pt

Create ImposeParallelOutflowElement on the b-th boundary of the Mesh object pointed to by bulk_mesh_pt and add the elements to the Mesh object pointed to by surface_mesh_pt.

 {
  // How many bulk elements are adjacent to boundary b?
  unsigned n_element = bulk_mesh_pt->nboundary_element(b);
  
  // Loop over the bulk elements adjacent to boundary b
  for(unsigned e=0;e<n_element;e++)
   {
    // Get pointer to the bulk element that is adjacent to boundary b
    ELEMENT* bulk_elem_pt = dynamic_cast<ELEMENT*>(
     bulk_mesh_pt->boundary_element_pt(b,e));
  
    // What is the index of the face of element e along boundary b?
    int face_index = bulk_mesh_pt->face_index_at_boundary(b,e);
  
    // Build the corresponding impose_impenetrability_element
    ImposeParallelOutflowElement<ELEMENT>* flux_element_pt = new
     ImposeParallelOutflowElement<ELEMENT>(bulk_elem_pt,
                                           face_index,0);
  
  
    // Add the prescribed-flux element to the surface mesh
    surface_mesh_pt->add_element_pt(flux_element_pt);
  
    // Loop over the nodes
    unsigned nnod=flux_element_pt->nnode();
    for (unsigned j=0;j<nnod;j++)
     {
      Node* nod_pt = flux_element_pt->node_pt(j);
  
      // Is the node also on boundary 0 or 2?
      if ((nod_pt->is_on_boundary(0))||(nod_pt->is_on_boundary(2)))
       {
        // How many nodal values were used by the "bulk" element
        // that originally created this node?
        unsigned n_bulk_value=flux_element_pt->nbulk_value(j);
  
        // The remaining ones are Lagrange multipliers and we pin them.
        unsigned nval=nod_pt->nvalue();
        for (unsigned j=n_bulk_value;j<nval;j++)
         {
          nod_pt->pin(j);
         }
       }
     }
   }
 }

References oomph::Mesh::add_element_pt(), b, oomph::Mesh::boundary_element_pt(), e(), oomph::Mesh::face_index_at_boundary(), oomph::Node::is_on_boundary(), j, oomph::Mesh::nboundary_element(), oomph::FaceElement::nbulk_value(), oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::Data::nvalue(), and oomph::Data::pin().

◆ doc_solution()

template<class ELEMENT >

void TiltedCavityProblem< ELEMENT >::doc_solution

Doc the solution.

 {    
   // Alias the namespace for convenience
   namespace GV = Global_Variables; 
  
   // Create the soln file name string.
   std::stringstream filename;
   filename <<"RESLT/soln"<<GV::Soln_num<<".dat";
  
   // Number of plot points
   unsigned npts=5;
  
   // Output solution
   std::ofstream some_file;
   some_file.open(filename.str().c_str());
   Bulk_mesh_pt->output(some_file,npts);
   some_file.close();
 }

References MergeRestartFiles::filename, and Global_Variables::Soln_num.

Member Data Documentation

◆ Bottom_bound

template<class ELEMENT >

unsigned TiltedCavityProblem< ELEMENT >::Bottom_bound

private

Bottom boundary.

◆ Bulk_mesh_pt

template<class ELEMENT >

Mesh* TiltedCavityProblem< ELEMENT >::Bulk_mesh_pt

private

Pointer to the "bulk" mesh.

◆ F_preconditioner_pt

template<class ELEMENT >

Preconditioner* TiltedCavityProblem< ELEMENT >::F_preconditioner_pt

private

Preconditioner for the momentum block.

◆ Left_bound

template<class ELEMENT >

unsigned TiltedCavityProblem< ELEMENT >::Left_bound

private

Left boundary.

◆ Navier_stokes_prec_pt

template<class ELEMENT >

Preconditioner* TiltedCavityProblem< ELEMENT >::Navier_stokes_prec_pt

private

Preconditioner for the Navier-Stokes block.

◆ P_preconditioner_pt

template<class ELEMENT >

Preconditioner* TiltedCavityProblem< ELEMENT >::P_preconditioner_pt

private

Preconditioner for the pressure block.

◆ Prec_pt

template<class ELEMENT >

Preconditioner* TiltedCavityProblem< ELEMENT >::Prec_pt

private

Preconditioner.

◆ Right_bound

template<class ELEMENT >

unsigned TiltedCavityProblem< ELEMENT >::Right_bound

private

Right boundary.

◆ Solver_pt

template<class ELEMENT >

IterativeLinearSolver* TiltedCavityProblem< ELEMENT >::Solver_pt

private

Iterative linear solver.

◆ Surface_mesh_P_pt

template<class ELEMENT >

Mesh* TiltedCavityProblem< ELEMENT >::Surface_mesh_P_pt

private

Pointer to the "surface" mesh.

◆ Top_bound

template<class ELEMENT >

unsigned TiltedCavityProblem< ELEMENT >::Top_bound

private

Top boundary.

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

two_d_tilted_square.cc

Public Member Functions

Private Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ TiltedCavityProblem()

Member Function Documentation

◆ actions_after_newton_step()

◆ actions_before_newton_solve()

◆ create_parall_outflow_lagrange_elements()

◆ doc_solution()

Member Data Documentation

◆ Bottom_bound

◆ Bulk_mesh_pt

◆ F_preconditioner_pt

◆ Left_bound

◆ Navier_stokes_prec_pt

◆ P_preconditioner_pt

◆ Prec_pt

◆ Right_bound

◆ Solver_pt

◆ Surface_mesh_P_pt

◆ Top_bound