Solve the Axisymmetric Navier Stokes equations in a torus. More...

Inheritance diagram for UnstructuredTorusProblem< ELEMENT >:

Public Member Functions
	UnstructuredTorusProblem (const double &min_error_target, const double &max_error_target)

double	calculate_square_of_l2_norm ()
	Calculate the square of the l2 norm. More...

double	calculate_area ()
	Calculate the cross-sectional area of the domain. More...

void	set_initial_condition ()
	Set the initial conditions: all nodes have zero velocity. More...

void	set_boundary_conditions (const double &time)
	Set boundary conditions on the walls. More...

void	solve_system (const double &dt, const unsigned &nstep, const std::string &directory)
	Function that is used to run the parameter study. More...

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

void	actions_before_adapt ()

void	actions_after_adapt ()

void	create_lagrange_multiplier_elements ()

void	delete_lagrange_multiplier_elements ()

	UnstructuredTorusProblem (const double &min_error_target, const double &max_error_target)

double	calculate_square_of_l2_norm ()
	Calculate the square of the l2 norm. More...

double	calculate_area ()
	Calculate the cross-sectional area of the domain. More...

void	set_initial_condition ()
	Set the initial conditions: all nodes have zero velocity. More...

void	set_boundary_conditions (const double &time)
	Set boundary conditions on the walls. More...

void	solve_system (const double &dt, const unsigned &nstep, const std::string &directory)
	Function that is used to run the parameter study. More...

RefineableTriangleMesh< ELEMENT > *	mesh_pt ()
	Return a pointer to the specific mesh used. More...

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

void	actions_after_adapt ()

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 ()

Public Attributes
Vector< BackupMeshForProjection< TElement< 1, 3 > > * >	Backed_up_surface_mesh_pt
	Pointer to the Backedup Surface mesh. More...

Vector< SolidMesh * >	Lagrange_multiplier_mesh_pt
	Pointers to mesh of Lagrange multiplier elements. More...

RefineableSolidTriangleMesh< ELEMENT > *	Fluid_mesh_pt
	Pointer to Fluid_mesh. More...

Public Attributes inherited from oomph::Problem
bool	Shut_up_in_newton_solve

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...

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_solve ()

virtual void	actions_after_newton_solve ()

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 ()

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 UnstructuredTorusProblem< ELEMENT >

Solve the Axisymmetric Navier Stokes equations in a torus.

Constructor & Destructor Documentation

◆ UnstructuredTorusProblem() [1/2]

template<class ELEMENT >

UnstructuredTorusProblem< ELEMENT >::UnstructuredTorusProblem	(	const double &	min_error_target,
		const double &	max_error_target
	)

Constructor taking the maximum refinement level and the minimum and maximum error targets.

Constructor: specify the maximum refinement level, the minimum and maximum error targets

 {
  Use_continuation_timestepper=true;
  
  Max_residuals = 1e10;
  
  using namespace Global_Physical_Variables;
  
  //Create a timestepper
  add_time_stepper_pt(new BDF<2>);
  
  //Create the domain for the mesh, which consists of a circle of
  //radius Radius and centred at y=0 
  GeomObject* area_pt = new GeneralCircle(0.0,Radius);
  
  // No holes
  Vector<TriangleMeshClosedCurve*> Inner_hole_pt;
  
  //Now create the mesh
  double uniform_element_area = 0.2;
  
  // Build the two parts of the curvilinear boundary
  Vector<TriangleMeshCurveSection*> curvilinear_boundary_pt(2);
  
  double zeta_start=0.0;
  double zeta_end=MathematicalConstants::Pi;
  unsigned nsegment=8; 
  unsigned boundary_id=0; 
  curvilinear_boundary_pt[0]=new TriangleMeshCurviLine(
   area_pt,zeta_start,zeta_end, 
   nsegment,boundary_id);
  
  zeta_start=-MathematicalConstants::Pi;
  zeta_end=0.0; //2.0*MathematicalConstants::Pi;
  nsegment=8; 
  boundary_id=1; 
  curvilinear_boundary_pt[1]=new TriangleMeshCurviLine(
   area_pt,zeta_start,zeta_end, 
   nsegment,boundary_id);
  
  // Combine to hole
  Vector<double> hole_coords(2);
  hole_coords[0]=0.0;
  hole_coords[1]=0.0;
  TriangleMeshClosedCurve* curvilinear_outer_boundary_pt=
   new TriangleMeshClosedCurve(curvilinear_boundary_pt);
  
  // Use the TriangleMeshParameters object for gathering all
  // the necessary arguments for the TriangleMesh object
  TriangleMeshParameters triangle_mesh_parameters(
    curvilinear_outer_boundary_pt);
  
  // Take the holes into the TriangleMeshParameters object
  triangle_mesh_parameters.internal_closed_curve_pt() =
    Inner_hole_pt;
  
  // Take the maximum element area
  triangle_mesh_parameters.element_area() =
    uniform_element_area;
  
  // Create the mesh
  this->Fluid_mesh_pt = new RefineableSolidTriangleMesh<ELEMENT>(
   triangle_mesh_parameters, this->time_stepper_pt());
  
  // Set error estimator 
  Z2ErrorEstimator* error_estimator_pt=new Z2ErrorEstimator;
  Fluid_mesh_pt->spatial_error_estimator_pt()=error_estimator_pt;
  
  // Error targets for adaptive refinement
  Fluid_mesh_pt->max_permitted_error() = max_error_target; 
  Fluid_mesh_pt->min_permitted_error() = min_error_target; 
  
  //Loop over all the (fluid) elements 
  unsigned n_element = Fluid_mesh_pt->nelement();
  for(unsigned e=0;e<n_element;e++)
   {
    //Cast to the particular element type, this is necessary because
    //the base elements don't have the member functions that we're about
    //to call!
    ELEMENT *el_pt = dynamic_cast<ELEMENT*>(Fluid_mesh_pt->element_pt(e));
  
    //There is no need for ALE
    el_pt->disable_ALE();
  
    //Set the Reynolds number for each element 
    //(yes we could have different Reynolds number in each element!!)
    el_pt->re_pt() = &Re;
    //Set the product of Reynolds and Strouhal numbers
    el_pt->re_st_pt() = &Re;
    //Set the body force
    el_pt->axi_nst_body_force_fct_pt() = &Global_Physical_Variables::
     axial_pressure_gradient;
    // Set the constitutive law for pseudo-elastic mesh deformation
    el_pt->constitutive_law_pt()=
     Global_Physical_Variables::Constitutive_law_pt;
    // Set the "density" for pseudo-elastic mesh deformation
    el_pt->lambda_sq_pt()=&Global_Physical_Variables::Lambda_sq;
   }
  
  //Let this problem be conventional form by setting gamma to zero
  ELEMENT::Gamma[0] = 0.0; //r-momentum
  ELEMENT::Gamma[1] = 0.0; //z-momentum
  
  
  
  //Set the boundary conditions (no slip on the torus walls)
  //Loop over the nodes on the (only) mesh boundary
  const unsigned n_boundary = Fluid_mesh_pt->nboundary();
  //Pin the boundary nodes
  for(unsigned b=0;b<n_boundary;b++)
   {
    unsigned n_boundary_node = Fluid_mesh_pt->nboundary_node(b);
    for(unsigned n=0;n<n_boundary_node;++n)
     {
      //Repin all the nodes
      for(unsigned i=0;i<3;i++) 
       {Fluid_mesh_pt->boundary_node_pt(b,n)->pin(i);}
     }
   }
  
  //Pin a single pressure value 
  dynamic_cast<ELEMENT*>(Fluid_mesh_pt->element_pt(0))->fix_pressure(0,0.0);
  
  // Create Lagrange multiplier mesh for boundary motion
  //----------------------------------------------------
  // Construct the mesh of elements that enforce prescribed boundary motion
  // of pseudo-solid fluid mesh by Lagrange multipliers
  Backed_up_surface_mesh_pt.resize(n_boundary);
  Lagrange_multiplier_mesh_pt.resize(n_boundary);
  for(unsigned b=0;b<n_boundary;++b)
   {
    Lagrange_multiplier_mesh_pt[b]=new SolidMesh;
   }
  create_lagrange_multiplier_elements();
  
  // Combine meshes
  //---------------
  
  // Add Fluid_mesh_pt sub meshes
  this->add_sub_mesh(Fluid_mesh_pt);
  
  // Add Lagrange_multiplier sub meshes
  for(unsigned b=0;b<n_boundary;++b)
   {
    this->add_sub_mesh(this->Lagrange_multiplier_mesh_pt[b]);
   }
  
  // Build global mesh
  this->build_global_mesh();
     
  // Setup equation numbering scheme
  cout <<"Number of equations: " << this->assign_eqn_numbers() << std::endl;
  }

References Global_Physical_Variables::axial_pressure_gradient(), b, Global_Physical_Variables::Constitutive_law_pt, e(), oomph::TriangleMeshParameters::element_area(), MeshRefinement::error_estimator_pt, GlobalPhysicalVariables::Gamma, i, oomph::TriangleMeshParameters::internal_closed_curve_pt(), Global_Physical_Variables::Lambda_sq, n, BiharmonicTestFunctions2::Pi, Global_Physical_Variables::Radius, and GlobalPhysicalVariables::Re.

◆ UnstructuredTorusProblem() [2/2]

template<class ELEMENT >

UnstructuredTorusProblem< ELEMENT >::UnstructuredTorusProblem	(	const double &	min_error_target,
		const double &	max_error_target
	)

Constructor taking the maximum refinement level and the minimum and maximum error targets.

Member Function Documentation

◆ actions_after_adapt() [1/2]

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::actions_after_adapt ( )

inlinevirtual

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

Reimplemented from oomph::Problem.

   {
    using namespace Global_Physical_Variables;
    //Reset the lagrangian coordinates for the solid mechanics
    //an updated lagrangian approach
    //Fluid_mesh_pt->set_lagrangian_nodal_coordinates();
    
    // Create the elements that impose the displacement constraint 
    create_lagrange_multiplier_elements();
    
    //Now to the projection
    const unsigned n_boundary = this->Fluid_mesh_pt->nboundary();
    for(unsigned b=0;b<n_boundary;++b)
     {
      Backed_up_surface_mesh_pt[b]->
       project_onto_new_mesh(this->Lagrange_multiplier_mesh_pt[b]);
     }
  
    this->rebuild_global_mesh();
  
    //Loop over all the (fluid) elements 
    unsigned n_element = Fluid_mesh_pt->nelement();
    for(unsigned e=0;e<n_element;e++)
     {
      //Cast to the particular element type, this is necessary because
      //the base elements don't have the member functions that we're about
      //to call!
      ELEMENT *el_pt = dynamic_cast<ELEMENT*>(Fluid_mesh_pt->element_pt(e));
      
      //There is no need for ALE
      el_pt->disable_ALE();
      
      //Set the Reynolds number for each element 
      //(yes we could have different Reynolds number in each element!!)
      el_pt->re_pt() = &Global_Physical_Variables::Re;
      //Set the product of Reynolds and Strouhal numbers
      el_pt->re_st_pt() = &Global_Physical_Variables::Re;
      //Set the body force
      el_pt->axi_nst_body_force_fct_pt() = &Global_Physical_Variables::
       axial_pressure_gradient;
      // Set the constitutive law for pseudo-elastic mesh deformation
      el_pt->constitutive_law_pt()=
       Global_Physical_Variables::Constitutive_law_pt;
      // Set the "density" for pseudo-elastic mesh deformation
      el_pt->lambda_sq_pt()=&Global_Physical_Variables::Lambda_sq;
     }
    
    //Repin the boundary nodes
    for(unsigned b=0;b<n_boundary;b++)
     {
      unsigned n_boundary_node = Fluid_mesh_pt->nboundary_node(b);
      for(unsigned n=0;n<n_boundary_node;++n)
       {
        Node* nod_pt= Fluid_mesh_pt->boundary_node_pt(b,n);
        //Repin all the nodes
        for(unsigned i=0;i<3;i++) 
         {nod_pt->pin(i);}
       }
     }
  
    //Set the boundary conditions
    this->set_boundary_conditions(this->time());
  
    //Pin a single pressure value 
    dynamic_cast<ELEMENT*>(Fluid_mesh_pt->element_pt(0))->fix_pressure(0,0.0);
  
    //Kill the backed up mesh
    for(unsigned b=0;b<n_boundary;++b)
     {
      delete Backed_up_surface_mesh_pt[b];
      Backed_up_surface_mesh_pt[b] = 0;
     }
  
    //Dump the output
    /*char filename[100];
    sprintf(filename,"./post_adapt_%g_%g_%g.dat", Re, Delta,Mu);
    std::ofstream out_file(filename);
    Fluid_mesh_pt->output(out_file,5);
    out_file.close();*/
   }

References Global_Physical_Variables::axial_pressure_gradient(), b, Global_Physical_Variables::Constitutive_law_pt, e(), i, Global_Physical_Variables::Lambda_sq, n, oomph::Data::pin(), and Global_Physical_Variables::Re.

◆ actions_after_adapt() [2/2]

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::actions_after_adapt ( )

inlinevirtual

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

Reimplemented from oomph::Problem.

   {
    //Loop over all the (fluid) elements 
    unsigned n_element = mesh_pt()->nelement();
    for(unsigned e=0;e<n_element;e++)
     {
      //Cast to the particular element type, this is necessary because
      //the base elements don't have the member functions that we're about
      //to call!
      ELEMENT *el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e));
      
      //There is no need for ALE
      el_pt->disable_ALE();
      
      //Set the Reynolds number for each element 
      //(yes we could have different Reynolds number in each element!!)
      el_pt->re_pt() = &Global_Physical_Variables::Re;
      //Set the product of Reynolds and Strouhal numbers
      el_pt->re_st_pt() = &Global_Physical_Variables::Re;
     }
    
    const unsigned n_boundary = mesh_pt()->nboundary();
    //Repin the boundary nodes
    for(unsigned b=0;b<n_boundary;b++)
     {
      unsigned n_boundary_node = mesh_pt()->nboundary_node(b);
      Vector<double> new_x(2);
      Vector<double> b_coord(1);
      bool geom_object=false;
      if(this->mesh_pt()->boundary_geom_object_pt(b)!=0) 
       {geom_object=true;}
      for(unsigned n=0;n<n_boundary_node;++n)
       {
        //Now move the boundary nodes exactly onto the geometric object
        Node* const nod_pt = this->mesh_pt()->boundary_node_pt(b,n);
        if(geom_object)
         {
          nod_pt->get_coordinates_on_boundary(b,b_coord);
          //Let's find boundary coordinates of the new node
          this->mesh_pt()->boundary_geom_object_pt(b)->position(b_coord,new_x);
          //Snap to the boundary
          for(unsigned i=0;i<2;i++)
           {
            nod_pt->x(i) = new_x[i];
           }
         }
        //Repin all the nodes
        for(unsigned i=0;i<3;i++) 
         {nod_pt->pin(i);}
       }
     }
  
    //Set the boundary conditions
    this->set_boundary_conditions(this->time());
  
    //Pin a single pressure value 
    dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(0))->fix_pressure(0,0.0);
   }

References b, e(), oomph::Node::get_coordinates_on_boundary(), i, n, oomph::Data::pin(), Global_Physical_Variables::Re, and oomph::Node::x().

◆ actions_before_adapt()

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::actions_before_adapt ( )

inlinevirtual

Actions that are to be performed before a mesh adaptation. These might include removing any additional elements, such as traction boundary elements before the adaptation.

Reimplemented from oomph::Problem.

   {
    using namespace Global_Physical_Variables;
    /*char filename[100];
    sprintf(filename,"./pre_adapt_%g_%g_%g.dat", Re, Delta,Mu);
    std::ofstream out_file(filename);
    Fluid_mesh_pt->output(out_file,5);
    out_file.close();*/
  
  
    const unsigned n_boundary = this->Fluid_mesh_pt->nboundary();
    //Back up the surface meshes
    for(unsigned b=0;b<n_boundary;++b)
     {
      Backed_up_surface_mesh_pt[b] = 
       new BackupMeshForProjection<TElement<1,3> >(
        Lagrange_multiplier_mesh_pt[b],b,b);
     }
    
    // Kill the  elements and wipe surface mesh
    delete_lagrange_multiplier_elements();
    
    // Rebuild the Problem's global mesh from its various sub-meshes
    this->rebuild_global_mesh();
   }

References b.

◆ actions_before_implicit_timestep() [1/2]

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::actions_before_implicit_timestep ( )

inlinevirtual

Update the problem specs before next timestep:

Reimplemented from oomph::Problem.

386 {set_boundary_conditions(time());}

◆ actions_before_implicit_timestep() [2/2]

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::actions_before_implicit_timestep ( )

inlinevirtual

Update the problem specs before next timestep:

Reimplemented from oomph::Problem.

286 {set_boundary_conditions(time());}

◆ calculate_area() [1/2]

template<class ELEMENT >

double UnstructuredTorusProblem< ELEMENT >::calculate_area ( )

inline

Calculate the cross-sectional area of the domain.

   {
    //Initialise
    double sum = 0.0;
  
    //Now loop over all elements and add the contributions to the 
    //components of the norm
    const unsigned n_element = this->Fluid_mesh_pt->nelement();
    for(unsigned e=0;e<n_element;e++)
     {
      sum += this->Fluid_mesh_pt->finite_element_pt(e)->size();
     }
    return sum;
   }

References e().

◆ calculate_area() [2/2]

template<class ELEMENT >

double UnstructuredTorusProblem< ELEMENT >::calculate_area ( )

inline

Calculate the cross-sectional area of the domain.

   {
    //Initialise
    double sum = 0.0;
  
    //Now loop over all elements and add the contributions to the 
    //components of the norm
    const unsigned n_element = this->mesh_pt()->nelement();
    for(unsigned e=0;e<n_element;e++)
     {
      sum += this->mesh_pt()->finite_element_pt(e)->size();
     }
    return sum;
   }

References e().

◆ calculate_square_of_l2_norm() [1/2]

template<class ELEMENT >

double UnstructuredTorusProblem< ELEMENT >::calculate_square_of_l2_norm ( )

inline

Calculate the square of the l2 norm.

   {
    //Initialise
    double sum = 0.0;
  
    //Now loop over all elements and add the contributions to the 
    //components of the norm
    const unsigned n_element = this->Fluid_mesh_pt->nelement();
    for(unsigned e=0;e<n_element;e++)
     {
      sum += dynamic_cast<ELEMENT*>(this->Fluid_mesh_pt->element_pt(e))
       ->square_of_l2_norm();
     }
    return sum;
   }

References e(), and square_of_l2_norm().

◆ calculate_square_of_l2_norm() [2/2]

template<class ELEMENT >

double UnstructuredTorusProblem< ELEMENT >::calculate_square_of_l2_norm ( )

inline

Calculate the square of the l2 norm.

   {
    //Initialise
    double sum = 0.0;
  
    //Now loop over all elements and add the contributions to the 
    //components of the norm
    const unsigned n_element = this->mesh_pt()->nelement();
    for(unsigned e=0;e<n_element;e++)
     {
      sum += dynamic_cast<ELEMENT*>(this->mesh_pt()->element_pt(e))
       ->square_of_l2_norm();
     }
    return sum;
   }

References e(), and square_of_l2_norm().

◆ create_lagrange_multiplier_elements()

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::create_lagrange_multiplier_elements ( )

inline

Create elements that impose the prescribed boundary displacement for the pseudo-solid fluid mesh

 { 
  // The idea is to apply Lagrange multipliers to the boundaries in 
  // the mesh that have associated geometric objects
  
  //Find the number of boundaries
  unsigned n_boundary = Fluid_mesh_pt->nboundary();
  
  // Loop over the boundaries
  for(unsigned b=0;b<n_boundary;b++)
   {
    //Get the geometric object associated with the boundary
    GeomObject* boundary_geom_obj_pt = 
     Fluid_mesh_pt->boundary_geom_object_pt(b);
  
    //Only bother to do anything if there is a geometric object
    if(boundary_geom_obj_pt!=0)
     {
      // How many bulk fluid elements are adjacent to boundary b?
      unsigned n_element = Fluid_mesh_pt->nboundary_element(b);
      
      // Loop over the bulk fluid elements adjacent to boundary b?
      for(unsigned e=0;e<n_element;e++)
       {
        // Get pointer to the bulk fluid element that is 
        // adjacent to boundary b
        ELEMENT* bulk_elem_pt = dynamic_cast<ELEMENT*>(
         Fluid_mesh_pt->boundary_element_pt(b,e));
        
        //Find the index of the face of element e along boundary b
        int face_index = Fluid_mesh_pt->face_index_at_boundary(b,e);
        
        // Create new element. Note that we use different Lagrange
        // multiplier fields for each distinct boundary (here indicated
        // by b.
        ImposeDisplacementByLagrangeMultiplierElement<ELEMENT>* el_pt =
         new ImposeDisplacementByLagrangeMultiplierElement<ELEMENT>(
          bulk_elem_pt,face_index,b);   
        
        // Add it to the mesh
        Lagrange_multiplier_mesh_pt[b]->add_element_pt(el_pt);
        
        // Set the GeomObject that defines the boundary shape and set
        // which bulk boundary we are attached to (needed to extract
        // the boundary coordinate from the bulk nodes)
        el_pt->set_boundary_shape_geom_object_pt(
         boundary_geom_obj_pt,b);
        
        // Loop over the nodes to pin Lagrange multiplier
        unsigned nnod=el_pt->nnode();
        for(unsigned j=0;j<nnod;j++)
         {
          Node* nod_pt = el_pt->node_pt(j);
          
          // How many nodal values were used by the "bulk" element
          // that originally created this node?
          unsigned n_bulk_value=el_pt->nbulk_value(j);
          
          // Pin two of the four Lagrange multipliers at vertices
          // This is not totally robust, but will work in this application
          unsigned nval=nod_pt->nvalue();
          if (nval==8)
           {
            for (unsigned i=0;i<2;i++) 
             { 
              // Pin lagrangian multipliers
              nod_pt->pin(n_bulk_value+2+i);
             }
           }
         }
       } // end loop over the element
     } //End of  case if there is a geometric object
   } //End of loop over boundaries
 }

References b, e(), i, j, oomph::FaceElement::nbulk_value(), oomph::FiniteElement::nnode(), oomph::FiniteElement::node_pt(), oomph::Data::nvalue(), oomph::Data::pin(), and oomph::ImposeDisplacementByLagrangeMultiplierElement< ELEMENT >::set_boundary_shape_geom_object_pt().

◆ delete_lagrange_multiplier_elements()

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::delete_lagrange_multiplier_elements ( )

inline

Delete elements that impose the prescribed boundary displacement and wipe the associated mesh

 {
  unsigned n_bound = this->Fluid_mesh_pt->nboundary();
  for(unsigned b=0;b<n_bound;b++)
   {
    // How many surface elements are in the surface mesh
    unsigned n_element = Lagrange_multiplier_mesh_pt[b]->nelement();
    
    // Loop over the surface elements
    for(unsigned e=0;e<n_element;e++)
     {
      // Kill surface element
      delete Lagrange_multiplier_mesh_pt[b]->element_pt(e);
     }
    
    // Wipe the mesh
    Lagrange_multiplier_mesh_pt[b]->flush_element_and_node_storage();
    
   } // end of delete_lagrange_multiplier_elements
 } 

References b, and e().

◆ mesh_pt()

template<class ELEMENT >

RefineableTriangleMesh<ELEMENT>* UnstructuredTorusProblem< ELEMENT >::mesh_pt ( )

inline

Return a pointer to the specific mesh used.

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

oomph::RefineableTriangleMesh

Unstructured refineable Triangle Mesh.

Definition: triangle_mesh.template.h:2249

◆ set_boundary_conditions() [1/2]

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::set_boundary_conditions ( const double & time )

Set boundary conditions on the walls.

Set the boundary conditions as a function of time we are going to spin up the torus

 {
  //NOTE: The default value of all parameters is zero, so we need only 
  //set the values that are non-zero on the boundary, i.e. the swirl
  
  const unsigned n_boundary = Fluid_mesh_pt->nboundary();
  for(unsigned b=0;b<n_boundary;++b)
   {
    //Loop over the nodes on the boundary
    unsigned n_boundary_node = Fluid_mesh_pt->nboundary_node(b);
    //Loop over the nodes on the boundary
    for(unsigned n=0;n<n_boundary_node;n++)
     {
      //Get the radial values
      double r = Fluid_mesh_pt->boundary_node_pt(b,n)->x(0);
      //Set the value of the u-, v- and w-velocity
      //Fast(ish) spin-up
      Fluid_mesh_pt->boundary_node_pt(b,n)->set_value(0,0.0);
      Fluid_mesh_pt->boundary_node_pt(b,n)->set_value(1,0.0);
      Fluid_mesh_pt->boundary_node_pt(b,n)->set_value(2,r*(1.0 - exp(-20.0*time)));
     }
   }
 }

References b, Eigen::bfloat16_impl::exp(), n, and UniformPSDSelfTest::r.

◆ set_boundary_conditions() [2/2]

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::set_boundary_conditions ( const double & time )

Set boundary conditions on the walls.

◆ set_initial_condition() [1/2]

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::set_initial_condition ( )

inlinevirtual

Set the initial conditions: all nodes have zero velocity.

Reimplemented from oomph::Problem.

   {
    const unsigned n_node = Fluid_mesh_pt->nnode();
    for(unsigned n=0;n<n_node;n++)
     {
      for(unsigned i=0;i<3;i++)
       {
        Fluid_mesh_pt->node_pt(n)->set_value(i,0.0);
       }
     }
   }

References i, and n.

◆ set_initial_condition() [2/2]

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::set_initial_condition ( )

inlinevirtual

Set the initial conditions: all nodes have zero velocity.

Reimplemented from oomph::Problem.

   {
    const unsigned n_node = mesh_pt()->nnode();
    for(unsigned n=0;n<n_node;n++)
     {
      for(unsigned i=0;i<3;i++)
       {
        mesh_pt()->node_pt(n)->set_value(i,0.0);
       }
     }
   }

References i, and n.

◆ solve_system() [1/2]

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::solve_system	(	const double &	dt,
		const unsigned &	nstep,
		const std::string &	directory
	)

Function that is used to run the parameter study.

Solve the system for a number of different values of the Reynolds number.

 {
  using namespace Global_Physical_Variables;
  
  //Standard newton solve
  this->steady_newton_solve(2);
  
  char filename[100];
  std::ofstream file;
  //Output data after the first timestep
  //Create the filename, including the array index
  sprintf(filename,"%s/soln_De%g_Delta%g_Mu%g.dat",directory.c_str(),Dean,
          Delta,Mu);
  //Actually, write the data
  file.open(filename);
  Fluid_mesh_pt->output(file,5);
  file.close();
  
  Bifurcation_detection = true;
  
  //Crank up Dean number
  double ds = 50.0;
  for(unsigned i=0;i<50;i++)
   {
    //Delta += 0.1;
    ds = this->arc_length_step_solve(&Dean,ds,1);
    //this->steady_newton_solve(1);
    this->Fluid_mesh_pt->set_lagrangian_nodal_coordinates();
  
    sprintf(filename,"%s/soln_De%g_Delta%g_Mu%g.dat",directory.c_str(),Dean,
            Delta,Mu);
    //Actually, write the data
    file.open(filename);
    Fluid_mesh_pt->output(file,5);
    file.close();
   }
  
  //Now move shapes from circle to square
  this->reset_arc_length_parameters();
  ds = +0.1;
  bool exit_flag = false;
  for(unsigned i=0;i<10;i++)
   {
    if(Mu > 1.0) 
     {
      Mu = 1.0;
      this->steady_newton_solve(1);
      exit_flag = true;
     }
    else
     {
      //Mu -= 0.1;
      //this->steady_newton_solve(1);
      ds = this->arc_length_step_solve(&Mu,ds,1);
     }
  
    this->Fluid_mesh_pt->set_lagrangian_nodal_coordinates();
    
    sprintf(filename,"%s/soln_De%g_Delta%g_Mu%g.dat",directory.c_str(),Dean,
            Delta,Mu);
    //Actually, write the data
    file.open(filename);
    Fluid_mesh_pt->output(file,5);
    file.close();
    
    if(exit_flag) {break;}
   }
  
 }

References Global_Physical_Variables::Dean, Global_Physical_Variables::Delta, MergeRestartFiles::filename, i, and Global_Physical_Variables::Mu.

◆ solve_system() [2/2]

template<class ELEMENT >

void UnstructuredTorusProblem< ELEMENT >::solve_system	(	const double &	dt,
		const unsigned &	nstep,
		const std::string &	directory
	)

Function that is used to run the parameter study.

Member Data Documentation

◆ Backed_up_surface_mesh_pt

template<class ELEMENT >

Vector<BackupMeshForProjection<TElement<1,3> >*> UnstructuredTorusProblem< ELEMENT >::Backed_up_surface_mesh_pt

Pointer to the Backedup Surface mesh.

◆ Fluid_mesh_pt

template<class ELEMENT >

RefineableSolidTriangleMesh<ELEMENT>* UnstructuredTorusProblem< ELEMENT >::Fluid_mesh_pt

Pointer to Fluid_mesh.

◆ Lagrange_multiplier_mesh_pt

template<class ELEMENT >

Vector<SolidMesh*> UnstructuredTorusProblem< ELEMENT >::Lagrange_multiplier_mesh_pt

Pointers to mesh of Lagrange multiplier elements.

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

Public Member Functions

Public Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT> class UnstructuredTorusProblem< ELEMENT >

Constructor & Destructor Documentation

◆ UnstructuredTorusProblem() [1/2]

◆ UnstructuredTorusProblem() [2/2]

Member Function Documentation

◆ actions_after_adapt() [1/2]

◆ actions_after_adapt() [2/2]

◆ actions_before_adapt()

◆ actions_before_implicit_timestep() [1/2]

◆ actions_before_implicit_timestep() [2/2]

◆ calculate_area() [1/2]

◆ calculate_area() [2/2]

◆ calculate_square_of_l2_norm() [1/2]

◆ calculate_square_of_l2_norm() [2/2]

◆ create_lagrange_multiplier_elements()

◆ delete_lagrange_multiplier_elements()

◆ mesh_pt()

◆ set_boundary_conditions() [1/2]

◆ set_boundary_conditions() [2/2]

◆ set_initial_condition() [1/2]

◆ set_initial_condition() [2/2]

◆ solve_system() [1/2]

◆ solve_system() [2/2]

Member Data Documentation

◆ Backed_up_surface_mesh_pt

◆ Fluid_mesh_pt

◆ Lagrange_multiplier_mesh_pt

template<class ELEMENT>
class UnstructuredTorusProblem< ELEMENT >