Navier-Stokes problem in an oscillating ellipse domain. More...

Inheritance diagram for OscEllipseProblem< ELEMENT, TIMESTEPPER >:

Public Member Functions
	OscEllipseProblem ()
	Constructor. More...

	~OscEllipseProblem ()
	Destructor (empty) More...

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

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

void	actions_before_adapt ()
	Actions before adapt (empty) More...

void	actions_after_adapt ()
	Actions after adaptation, pin relevant pressures. More...

void	actions_before_implicit_timestep ()
	Update the problem specs before next timestep. More...

void	actions_after_implicit_timestep ()
	Update the problem specs after timestep (empty) More...

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

void	unsteady_run (DocInfo &doc_info)
	Timestepping loop. More...

void	set_initial_condition ()
	Set initial condition. 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

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 Member Functions
void	fix_pressure (const unsigned &e, const unsigned &pdof, const double &pvalue)
	Fix pressure in element e at pressure dof pdof and set to pvalue. More...

Private Attributes
GeomObject *	Wall_pt
	Pointer to GeomObject that specifies the domain bondary. 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_before_newton_convergence_check ()

virtual void	actions_before_newton_step ()

virtual void	actions_after_newton_step ()

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 ()

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...

Detailed Description

template<class ELEMENT, class TIMESTEPPER>
class OscEllipseProblem< ELEMENT, TIMESTEPPER >

Navier-Stokes problem in an oscillating ellipse domain.

//////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////

Constructor & Destructor Documentation

◆ OscEllipseProblem()

template<class ELEMENT , class TIMESTEPPER >

OscEllipseProblem< ELEMENT, TIMESTEPPER >::OscEllipseProblem

Constructor.

Constructor for Navier-Stokes problem on an oscillating ellipse domain.

 { 
  
  //Create the timestepper and add it to the problem
  add_time_stepper_pt(new TIMESTEPPER);
  
  // Setup mesh
  //-----------
  
  // Build geometric object that forms the curvilinear domain boundary:
  // an oscillating ellipse
  
  // Half axes
  double a=Global_Physical_Variables::A;
  
  // Variations of half axes
  double a_hat=Global_Physical_Variables::A_hat;
  
  // Period of the oscillation
  double period=Global_Physical_Variables::T;
  
  // Create GeomObject that specifies the domain bondary
  Wall_pt=new MyEllipse(a,a_hat,period,Problem::time_pt()); 
  
  
  // Start and end coordinates of curvilinear domain boundary on ellipse
  double xi_lo=0.0;
  double xi_hi=MathematicalConstants::Pi/2.0;
  
  // Now create the mesh. Separating line between the two 
  // elements next to the curvilinear boundary is located half-way
  // along the boundary.
  double fract_mid=0.5;
  Problem::mesh_pt() = new RefineableQuarterCircleSectorMesh<ELEMENT>(
   Wall_pt,xi_lo,fract_mid,xi_hi,time_stepper_pt());
  
  // Set error estimator NOT NEEDED IN CURRENT PROBLEM SINCE 
  // WE'RE ONLY REFINING THE MESH UNIFORMLY
  //Z2ErrorEstimator* error_estimator_pt=new Z2ErrorEstimator;
  //mesh_pt()->spatial_error_estimator_pt()=error_estimator_pt;
  
  
  // Fluid boundary conditions
  //--------------------------
  // Ring boundary: No slip; this also implies that the velocity needs
  // to be updated in response to wall motion
  unsigned ibound=1;
  {
   unsigned num_nod= mesh_pt()->nboundary_node(ibound);
   for (unsigned inod=0;inod<num_nod;inod++)
    {
      
     // Pin both velocities
     for (unsigned i=0;i<2;i++)
      {
       mesh_pt()->boundary_node_pt(ibound,inod)->pin(i);
      }
    }
  } // end boundary 1
  
  // Bottom boundary: 
  ibound=0;
  {
   unsigned num_nod= mesh_pt()->nboundary_node(ibound);
   for (unsigned inod=0;inod<num_nod;inod++)
    {
     // Pin vertical velocity
     {
      mesh_pt()->boundary_node_pt(ibound,inod)->pin(1);
     }
    }
  } // end boundary 0
  
  // Left boundary:
  ibound=2;
  {
   unsigned num_nod= mesh_pt()->nboundary_node(ibound);
   for (unsigned inod=0;inod<num_nod;inod++)
    {
     // Pin horizontal velocity
     {
      mesh_pt()->boundary_node_pt(ibound,inod)->pin(0);
     }
    }
  } // end boundary 2
  
  
  // Complete the build of all elements so they are fully functional
  //----------------------------------------------------------------
  
  // Find number of elements in mesh
  unsigned n_element = mesh_pt()->nelement();
  
  // Loop over the elements to set up element-specific 
  // things that cannot be handled by constructor
  for(unsigned i=0;i<n_element;i++)
   {
    // Upcast from FiniteElement to the present element
    ELEMENT *el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
  
    //Set the Reynolds number, etc
    el_pt->re_pt() = &Global_Physical_Variables::Re;
    el_pt->re_st_pt() = &Global_Physical_Variables::ReSt;
   }
  
  // Pin redundant pressure dofs
  RefineableNavierStokesEquations<2>::
   pin_redundant_nodal_pressures(mesh_pt()->element_pt());
  
  // Now set the first pressure dof in the first element to 0.0
  fix_pressure(0,0,0.0);
  
  // Do equation numbering
  cout << "Number of equations: " << assign_eqn_numbers() << std::endl; 
  
 } // end of constructor

References a, Global_Physical_Variables::A, Global_Physical_Variables::A_hat, i, BiharmonicTestFunctions2::Pi, Global_Physical_Variables::Re, Global_Physical_Variables::ReSt, and Global_Physical_Variables::T.

◆ ~OscEllipseProblem()

template<class ELEMENT , class TIMESTEPPER >

OscEllipseProblem< ELEMENT, TIMESTEPPER >::~OscEllipseProblem ( )

inline

Destructor (empty)

187 {}

Member Function Documentation

◆ actions_after_adapt()

template<class ELEMENT , class TIMESTEPPER >

void OscEllipseProblem< ELEMENT, TIMESTEPPER >::actions_after_adapt ( )

inlinevirtual

Actions after adaptation, pin relevant pressures.

Reimplemented from oomph::Problem.

   {
    // Unpin all pressure dofs
    RefineableNavierStokesEquations<2>::
     unpin_all_pressure_dofs(mesh_pt()->element_pt());
  
    // Pin redundant pressure dofs
    RefineableNavierStokesEquations<2>::
     pin_redundant_nodal_pressures(mesh_pt()->element_pt());
    
    // Now set the first pressure dof in the first element to 0.0
    fix_pressure(0,0,0.0);
  
   } // end of actions_after_adapt

◆ actions_after_implicit_timestep()

template<class ELEMENT , class TIMESTEPPER >

void OscEllipseProblem< ELEMENT, TIMESTEPPER >::actions_after_implicit_timestep ( )

inlinevirtual

Update the problem specs after timestep (empty)

Reimplemented from oomph::Problem.

236 {}

◆ actions_after_newton_solve()

template<class ELEMENT , class TIMESTEPPER >

void OscEllipseProblem< ELEMENT, TIMESTEPPER >::actions_after_newton_solve ( )

inlinevirtual

Update the problem specs after solve (empty)

Reimplemented from oomph::Problem.

190 {}

◆ actions_before_adapt()

template<class ELEMENT , class TIMESTEPPER >

void OscEllipseProblem< ELEMENT, TIMESTEPPER >::actions_before_adapt ( )

inlinevirtual

Actions before adapt (empty)

Reimplemented from oomph::Problem.

196 {}

◆ actions_before_implicit_timestep()

template<class ELEMENT , class TIMESTEPPER >

void OscEllipseProblem< ELEMENT, TIMESTEPPER >::actions_before_implicit_timestep ( )

inlinevirtual

Update the problem specs before next timestep.

Reimplemented from oomph::Problem.

   {
    // Update the domain shape
    mesh_pt()->node_update();
  
    // Ring boundary: No slip; this implies that the velocity needs
    // to be updated in response to wall motion
    unsigned ibound=1;
    unsigned num_nod=mesh_pt()->nboundary_node(ibound);
    for (unsigned inod=0;inod<num_nod;inod++)
     {
      // Which node are we dealing with?
      Node* node_pt=mesh_pt()->boundary_node_pt(ibound,inod);
      
      // Apply no slip
      FSI_functions::apply_no_slip_on_moving_wall(node_pt);
     }
   } 

References oomph::FSI_functions::apply_no_slip_on_moving_wall().

◆ actions_before_newton_solve()

template<class ELEMENT , class TIMESTEPPER >

void OscEllipseProblem< ELEMENT, TIMESTEPPER >::actions_before_newton_solve ( )

inlinevirtual

Update problem specs before solve (empty)

Reimplemented from oomph::Problem.

193 {}

◆ doc_solution()

template<class ELEMENT , class TIMESTEPPER >

void OscEllipseProblem< ELEMENT, TIMESTEPPER >::doc_solution ( DocInfo & doc_info )

Doc the solution.

 { 
  ofstream some_file;
  char filename[100];
  
  // Number of plot points
  unsigned npts;
  npts=5;
  
  // Output solution 
  //-----------------
  sprintf(filename,"%s/soln%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->output(some_file,npts);
  some_file << "TEXT X=2.5,Y=93.6,F=HELV,HU=POINT,C=BLUE,H=26,T=\"time = " 
            << time_pt()->time() << "\"";
  some_file << "GEOMETRY X=2.5,Y=98,T=LINE,C=BLUE,LT=0.4" << std::endl;
  some_file << "1" << std::endl;
  some_file << "2" << std::endl;
  some_file << " 0 0" << std::endl;
  some_file << time_pt()->time()*20.0 << " 0" << std::endl;
  
  // Write dummy zones that force tecplot to keep the axis limits constant
  // while the domain is moving.
  some_file << "ZONE I=2,J=2" << std::endl;
  some_file << "0.0 0.0 -0.65 -0.65 -200.0" << std::endl;
  some_file << "1.15 0.0 -0.65 -0.65 -200.0" << std::endl;
  some_file << "0.0 1.15 -0.65 -0.65 -200.0" << std::endl;
  some_file << "1.15 1.15 -0.65 -0.65 -200.0" << std::endl;
  some_file << "ZONE I=2,J=2" << std::endl;
  some_file << "0.0 0.0 0.65 0.65 300.0" << std::endl;
  some_file << "1.15 0.0 0.65 0.65 300.0" << std::endl;
  some_file << "0.0 1.15 0.65 0.65 300.0" << std::endl;
  some_file << "1.15 1.15 0.65 0.65 300.0" << std::endl;
  
  some_file.close();
  
  // Output exact solution 
  //----------------------
  sprintf(filename,"%s/exact_soln%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->output_fct(some_file,npts,time_pt()->time(),
                        Global_Physical_Variables::get_exact_u); 
  some_file.close();
  
  // Doc error
  //----------
  double error,norm;
  sprintf(filename,"%s/error%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->compute_error(some_file,
                           Global_Physical_Variables::get_exact_u,
                           time_pt()->time(),
                           error,norm); 
  some_file.close();
  
  
  // Doc solution and error
  //-----------------------
  cout << "error: " << error << std::endl; 
  cout << "norm : " << norm << std::endl << std::endl;
  
  
  // Plot wall posn
  //---------------
  sprintf(filename,"%s/Wall%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  
  unsigned nplot=100;
  for (unsigned iplot=0;iplot<nplot;iplot++)
   {
    Vector<double> xi_wall(1), r_wall(2);
    xi_wall[0]=0.5*MathematicalConstants::Pi*double(iplot)/double(nplot-1);
    Wall_pt->position(xi_wall,r_wall);
    some_file << r_wall[0] << " " << r_wall[1] << std::endl;
   }
  some_file.close();
  
  // Increment number of doc
  doc_info.number()++;
  
 } // end of doc_solution

References oomph::DocInfo::directory(), calibrate::error, MergeRestartFiles::filename, Global_Physical_Variables::get_exact_u(), oomph::DocInfo::number(), and BiharmonicTestFunctions2::Pi.

◆ fix_pressure()

template<class ELEMENT , class TIMESTEPPER >

void OscEllipseProblem< ELEMENT, TIMESTEPPER >::fix_pressure	(	const unsigned &	e,
		const unsigned &	pdof,
		const double &	pvalue
	)

inlineprivate

Fix pressure in element e at pressure dof pdof and set to pvalue.

   {
    //Cast to proper element and fix pressure
    dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e))->
     fix_pressure(pdof,pvalue);
   } // end_of_fix_pressure

References e().

◆ set_initial_condition()

template<class ELEMENT , class TIMESTEPPER >

void OscEllipseProblem< ELEMENT, TIMESTEPPER >::set_initial_condition

virtual

Set initial condition.

Set initial condition: Assign previous and current values from exact solution.

Reimplemented from oomph::Problem.

 { 
  // Backup time in global timestepper
  double backed_up_time=time_pt()->time();
    
  // Past history for velocities must be established for t=time0-deltat, ...
  // Then provide current values (at t=time0) which will also form
  // the initial guess for first solve at t=time0+deltat
  
  // Vector of exact solution value
  Vector<double> soln(3);
  Vector<double> x(2);
  
  //Find number of nodes in mesh
  unsigned num_nod = mesh_pt()->nnode();
  
  // Get continuous times at previous timesteps
  int nprev_steps=time_stepper_pt()->nprev_values();
  Vector<double> prev_time(nprev_steps+1);
  for (int itime=nprev_steps;itime>=0;itime--)
   {
    prev_time[itime]=time_pt()->time(unsigned(itime));
   }
  
  // Loop over current & previous timesteps (in outer loop because
  // the mesh also moves!)
  for (int itime=nprev_steps;itime>=0;itime--)
   {
    double time=prev_time[itime];
    
    // Set global time (because this is how the geometric object refers 
    // to continous time )
    time_pt()->time()=time;
    
    cout << "setting IC at time =" << time << std::endl;
    
    // Update the mesh for this value of the continuous time
    // (The wall object reads the continous time from the 
    // global time object)
    mesh_pt()->node_update(); 
    
    // Loop over the nodes to set initial guess everywhere
    for (unsigned jnod=0;jnod<num_nod;jnod++)
     {
      // Get nodal coordinates
      x[0]=mesh_pt()->node_pt(jnod)->x(0);
      x[1]=mesh_pt()->node_pt(jnod)->x(1);
      
      // Get exact solution (unsteady stagnation point flow)
      Global_Physical_Variables::get_exact_u(time,x,soln);
      
      // Assign solution
      mesh_pt()->node_pt(jnod)->set_value(itime,0,soln[0]);
      mesh_pt()->node_pt(jnod)->set_value(itime,1,soln[1]);
        
      // Loop over coordinate directions
      for (unsigned i=0;i<2;i++)
       {
        mesh_pt()->node_pt(jnod)->x(itime,i)=x[i];
       }
     } 
   } // end of loop over previous timesteps
  
  // Reset backed up time for global timestepper
  time_pt()->time()=backed_up_time;
  
 } // end of set_initial_condition

References Global_Physical_Variables::get_exact_u(), i, and plotDoE::x.

◆ unsteady_run()

template<class ELEMENT , class TIMESTEPPER >

void OscEllipseProblem< ELEMENT, TIMESTEPPER >::unsteady_run ( DocInfo & doc_info )

Timestepping loop.

Unsteady run.

 {
  
  // Specify duration of the simulation
  double t_max=3.0;
  
  // Initial timestep
  double dt=0.025;
  
  // Initialise timestep
  initialise_dt(dt);
  
  // Set initial conditions.
  set_initial_condition();
  
  // Alternative initial conditions: impulsive start; see exercise.
  //assign_initial_values_impulsive(); 
  
  // find number of steps
  unsigned nstep = unsigned(t_max/dt);
  
  // If validation: Reduce number of timesteps performed and 
  // use coarse-ish mesh
  if (CommandLineArgs::Argc>1)
   {
    nstep=2;
    refine_uniformly();
    cout << "validation run" << std::endl;
   }
  else
   {
    // Refine the mesh three times, to resolve the pressure distribution
    // (the velocities could be represented accurately on a much coarser mesh).
    refine_uniformly();
    refine_uniformly();
    refine_uniformly();
   }
  
  // Output solution initial 
  doc_solution(doc_info);
  
  // Timestepping loop
  for (unsigned istep=0;istep<nstep;istep++)
   {
    cout << "TIMESTEP " << istep << std::endl;
    cout << "Time is now " << time_pt()->time() << std::endl;
  
    // Take timestep 
    unsteady_newton_solve(dt);
      
    //Output solution
    doc_solution(doc_info);
   }
  
 } // end of unsteady_run

References oomph::CommandLineArgs::Argc.

Member Data Documentation

◆ Wall_pt

template<class ELEMENT , class TIMESTEPPER >

GeomObject* OscEllipseProblem< ELEMENT, TIMESTEPPER >::Wall_pt

private

Pointer to GeomObject that specifies the domain bondary.

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

osc_quarter_ellipse.cc

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT, class TIMESTEPPER> class OscEllipseProblem< ELEMENT, TIMESTEPPER >

Constructor & Destructor Documentation

◆ OscEllipseProblem()

◆ ~OscEllipseProblem()

Member Function Documentation

◆ actions_after_adapt()

◆ actions_after_implicit_timestep()

◆ actions_after_newton_solve()

◆ actions_before_adapt()

◆ actions_before_implicit_timestep()

◆ actions_before_newton_solve()

◆ doc_solution()

◆ fix_pressure()

◆ set_initial_condition()

◆ unsteady_run()

Member Data Documentation

◆ Wall_pt

template<class ELEMENT, class TIMESTEPPER>
class OscEllipseProblem< ELEMENT, TIMESTEPPER >