Inheritance diagram for RotatingCylinderProblem< ELEMENT, TIMESTEPPER >:

Public Member Functions
	RotatingCylinderProblem (const unsigned &n_r, const unsigned &n_z, const double &l_r, const double &l_z)
	Constructor for refineable rotating cylinder problem. More...

	~RotatingCylinderProblem ()
	Destructor (empty) More...

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

void	set_boundary_conditions ()
	Set boundary conditions. More...

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

void	unsteady_run (const double &t_max, const double &dt, const string dir_name)
	Do unsteady run up to maximum time t_max with given timestep dt. More...

RefineableRectangularQuadMesh< ELEMENT > *	mesh_pt ()
	Access function for the specific mesh. 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 ()

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	actions_before_newton_solve ()

void	actions_after_newton_solve ()
	No actions required after solve step. More...

void	actions_after_adapt ()

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...

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_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 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 RotatingCylinderProblem< ELEMENT, TIMESTEPPER >

/////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////// Refineable rotating cylinder problem in a rectangular axisymmetric domain

Constructor & Destructor Documentation

◆ RotatingCylinderProblem()

template<class ELEMENT , class TIMESTEPPER >

RotatingCylinderProblem< ELEMENT, TIMESTEPPER >::RotatingCylinderProblem	(	const unsigned &	n_r,
		const unsigned &	n_z,
		const double &	l_r,
		const double &	l_z
	)

Constructor for refineable rotating cylinder problem.

Constructor: Pass the number of elements and the lengths of the domain in the radial (r) and axial (z) directions

 {
  
  // Allocate the timestepper (this constructs the time object as well)
  add_time_stepper_pt(new TIMESTEPPER);
  
  // Build and assign mesh
  Problem::mesh_pt() = new RefineableRectangularQuadMesh<ELEMENT>
   (n_r,n_z,l_r,l_z,time_stepper_pt());
  
  // Create and set the error estimator for spatial adaptivity
  mesh_pt()->spatial_error_estimator_pt() = new Z2ErrorEstimator;
  
  // Set the maximum refinement level for the mesh to 4
  mesh_pt()->max_refinement_level() = 4;
  
  // Override the maximum and minimum permitted errors
  mesh_pt()->max_permitted_error() = 1.0e-2;
  mesh_pt()->min_permitted_error() = 1.0e-3;
  
  // --------------------------------------------
  // Set the boundary conditions for this problem
  // --------------------------------------------
  
  // All nodes are free by default -- just pin the ones that have
  // Dirichlet conditions here
  
  // Determine number of mesh boundaries
  const unsigned n_boundary = mesh_pt()->nboundary();
  
  // Loop over mesh boundaries
  for(unsigned b=0;b<n_boundary;b++)
   {
    // Determine number of nodes on boundary b
    const unsigned n_node = mesh_pt()->nboundary_node(b);
  
    // Loop over nodes on boundary b
    for(unsigned n=0;n<n_node;n++)
     {
      // Pin values for radial velocity on all boundaries
      mesh_pt()->boundary_node_pt(b,n)->pin(0);
  
      // Pin values for axial velocity on all SOLID boundaries (b = 0,1,2)
      if(b!=3) { mesh_pt()->boundary_node_pt(b,n)->pin(1); }
  
      // Pin values for azimuthal velocity on all boundaries
      mesh_pt()->boundary_node_pt(b,n)->pin(2);
  
     } // End of loop over nodes on boundary b
   } // End of loop over mesh boundaries
  
  // ----------------------------------------------------------------
  // Complete the problem setup to make the elements fully functional
  // ----------------------------------------------------------------
  
  // Determine number of elements in mesh
  const unsigned n_element = mesh_pt()->nelement();
  
  // Loop over the elements
  for(unsigned e=0;e<n_element;e++)
   {
    // Upcast from GeneralisedElement to the present element
    ELEMENT* el_pt = dynamic_cast<ELEMENT*>(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;
  
    // The mesh remains fixed
    el_pt->disable_ALE();
  
   } // End of loop over elements
  
  // Pin redundant pressure dofs
  RefineableAxisymmetricNavierStokesEquations::
   pin_redundant_nodal_pressures(mesh_pt()->element_pt());
  
  // Now set the pressure in first element at 'node' 0 to 0.0
  fix_pressure(0,0,0.0);
  
  // Set up equation numbering scheme
  cout << "Number of equations: " << assign_eqn_numbers() << std::endl; 
  
 } // End of constructor

References b, e(), n, Global_Physical_Variables::Re, and Global_Physical_Variables::ReSt.

◆ ~RotatingCylinderProblem()

template<class ELEMENT , class TIMESTEPPER >

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

inline

Destructor (empty)

82 {}

Member Function Documentation

◆ actions_after_adapt()

template<class ELEMENT , class TIMESTEPPER >

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

inlineprivatevirtual

After adaptation: Pin pressure again (the previously pinned value might have disappeared) and pin redudant pressure dofs

Reimplemented from oomph::Problem.

   {
    // Unpin all pressure dofs
    RefineableAxisymmetricNavierStokesEquations::
     unpin_all_pressure_dofs(mesh_pt()->element_pt());
    
    // Pin redudant pressure dofs
    RefineableAxisymmetricNavierStokesEquations::
     pin_redundant_nodal_pressures(mesh_pt()->element_pt());
    
    // Now set the pressure in first element at 'node' 0 to 0.0
    fix_pressure(0,0,0.0);
  
   } // End of actions_after_adapt

◆ actions_after_newton_solve()

template<class ELEMENT , class TIMESTEPPER >

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

inlineprivatevirtual

No actions required after solve step.

Reimplemented from oomph::Problem.

111 {}

◆ actions_before_newton_solve()

template<class ELEMENT , class TIMESTEPPER >

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

inlineprivatevirtual

Update the problem specs before solve. Reset velocity boundary conditions just to be on the safe side...

Reimplemented from oomph::Problem.

108 { set_boundary_conditions(); }

RotatingCylinderProblem::set_boundary_conditions

void set_boundary_conditions()

Set boundary conditions.

Definition: axisym_navier_stokes/spin_up/spin_up.cc:274

◆ doc_solution()

template<class ELEMENT , class TIMESTEPPER >

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

Document the solution.

 { 
  
  // Output the time
  cout << "Time is now " << time_pt()->time() << std::endl;
  
  ofstream some_file;
  char filename[100];
  
  // Set number of plot points (in each coordinate direction)
  const unsigned npts = 5;
  
  // Open solution output file
  sprintf(filename,"%s/soln%i.dat",
          doc_info.directory().c_str(),doc_info.number());
  some_file.open(filename);
  
  // Output solution to file
  mesh_pt()->output(some_file,npts);
  
  // Close solution output file
  some_file.close();
  
 } // End of doc_solution

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

◆ fix_pressure()

template<class ELEMENT , class TIMESTEPPER >

void RotatingCylinderProblem< 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 actual element and fix pressure
    dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e))->
     fix_pressure(pdof,pvalue);
   }

References e().

◆ mesh_pt()

template<class ELEMENT , class TIMESTEPPER >

RefineableRectangularQuadMesh<ELEMENT>* RotatingCylinderProblem< ELEMENT, TIMESTEPPER >::mesh_pt ( )

inline

Access function for the specific mesh.

   {
    return dynamic_cast<RefineableRectangularQuadMesh<ELEMENT>*>
     (Problem::mesh_pt());
   }

◆ set_boundary_conditions()

template<class ELEMENT , class TIMESTEPPER >

void RotatingCylinderProblem< ELEMENT, TIMESTEPPER >::set_boundary_conditions

Set boundary conditions.

Set boundary conditions: Set both velocity components to zero on the bottom (solid) wall and the horizontal component only to zero on the side (periodic) boundaries

 {
  // Determine number of mesh boundaries
  const unsigned n_boundary = mesh_pt()->nboundary();
  
  // Loop over mesh boundaries
  for(unsigned b=0;b<n_boundary;b++)
   {
    // Determine number of nodes on boundary b
    const unsigned n_node = mesh_pt()->nboundary_node(b);
    
    // Loop over nodes on boundary b
    for(unsigned n=0;n<n_node;n++)
     {
      // For the solid boundaries (boundaries 0,1,2)
      if(b<3)
       {
        // Get the radial component of position
        const double r_pos = mesh_pt()->boundary_node_pt(b,n)->x(0);
            
        // Set all velocity components to no flow along boundary
        mesh_pt()->boundary_node_pt(b,n)->set_value(0,0,0.0); // Radial
        mesh_pt()->boundary_node_pt(b,n)->set_value(0,1,0.0); // Axial
        mesh_pt()->boundary_node_pt(b,n)->set_value(0,2,r_pos); // Azimuthal
       }
  
      // For the symmetry boundary (boundary 3)
      if(b==3)
       {
        // Set only the radial (i=0) and azimuthal (i=2) velocity components
        // to no flow along boundary (axial component is unconstrained)
        mesh_pt()->boundary_node_pt(b,n)->set_value(0,0,0.0);
        mesh_pt()->boundary_node_pt(b,n)->set_value(0,2,0.0);
       }
     } // End of loop over nodes on boundary b
   } // End of loop over mesh boundaries
  
 } // End of set_boundary_conditions

References b, and n.

◆ set_initial_condition()

template<class ELEMENT , class TIMESTEPPER >

void RotatingCylinderProblem< ELEMENT, TIMESTEPPER >::set_initial_condition

virtual

Set initial conditions.

Set initial conditions: Set all nodal velocities to zero and initialise the previous velocities to correspond to an impulsive start

Reimplemented from oomph::Problem.

 {
  // Determine number of nodes in mesh
  const unsigned n_node = mesh_pt()->nnode();
  
  // Loop over all nodes in mesh
  for(unsigned n=0;n<n_node;n++)
   {
    // Loop over the three velocity components
    for(unsigned i=0;i<3;i++)
     {
      // Set velocity component i of node n to zero
      mesh_pt()->node_pt(n)->set_value(i,0.0);
     }
   }
  
  // Initialise the previous velocity values for timestepping
  // corresponding to an impulsive start
  assign_initial_values_impulsive();
  
 } // End of set_initial_condition

References i, and n.

◆ unsteady_run()

template<class ELEMENT , class TIMESTEPPER >

void RotatingCylinderProblem< ELEMENT, TIMESTEPPER >::unsteady_run	(	const double &	t_max,
		const double &	dt,
		const string	dir_name
	)

Do unsteady run up to maximum time t_max with given timestep dt.

Perform run up to specified time t_max with given timestep dt.

 {
  
  // Initialise DocInfo object
  DocInfo doc_info;
  
  // Set output directory
  doc_info.set_directory(dir_name);
  
  // Initialise counter for solutions
  doc_info.number()=0;
  
  // Initialise timestep
  initialise_dt(dt);
  
  // Set initial condition
  set_initial_condition();
  
  // Maximum number of spatial adaptations per timestep
  unsigned max_adapt = 4;
  
  // Call refine_uniformly twice
  for(unsigned i=0;i<2;i++) { refine_uniformly(); }
  
  // Determine number of timesteps
  const unsigned n_timestep = unsigned(t_max/dt);
  
  // Doc initial solution
  doc_solution(doc_info);
  
  // Increment counter for solutions 
  doc_info.number()++;
  
  // Are we on the first timestep? At this point, yes!
  bool first_timestep = true;
  
  // Specify normalising factor explicitly
  Z2ErrorEstimator* error_pt = dynamic_cast<Z2ErrorEstimator*>
   (mesh_pt()->spatial_error_estimator_pt());
  error_pt->reference_flux_norm() = 0.01;
  
  // Timestepping loop
  for(unsigned t=1;t<=n_timestep;t++)
   {
    // Output current timestep to screen
    cout << "\nTimestep " << t << " of " << n_timestep << std::endl;
  
    // Take fixed timestep with spatial adaptivity
    unsteady_newton_solve(dt,max_adapt,first_timestep);
    
    // No longer on first timestep, so set first_timestep flag to false
    first_timestep = false; 
  
    // Reset maximum number of adaptations for all future timesteps
    max_adapt = 1;
    
    // Doc solution
    doc_solution(doc_info);
    
    // Increment counter for solutions 
    doc_info.number()++;
    
   } // End of timestepping loop
  
 } // End of unsteady_run

References i, oomph::DocInfo::number(), oomph::Z2ErrorEstimator::reference_flux_norm(), oomph::DocInfo::set_directory(), and plotPSD::t.

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

axisym_navier_stokes/spin_up/spin_up.cc

Public Member Functions

Private Member Functions

Additional Inherited Members

Detailed Description

template<class ELEMENT, class TIMESTEPPER> class RotatingCylinderProblem< ELEMENT, TIMESTEPPER >

Constructor & Destructor Documentation

◆ RotatingCylinderProblem()

◆ ~RotatingCylinderProblem()

Member Function Documentation

◆ actions_after_adapt()

◆ actions_after_newton_solve()

◆ actions_before_newton_solve()

◆ doc_solution()

◆ fix_pressure()

◆ mesh_pt()

◆ set_boundary_conditions()

◆ set_initial_condition()

◆ unsteady_run()

template<class ELEMENT, class TIMESTEPPER>
class RotatingCylinderProblem< ELEMENT, TIMESTEPPER >