Driven cavity problem in rectangular domain. More...

Inheritance diagram for PolarNSProblem< ELEMENT >:

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

	~PolarNSProblem ()
	Destructor to clean up memory. More...

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

void	actions_after_solve ()
	Update the after solve (empty) More...

void	actions_before_solve ()

void	actions_before_adapt ()
	Before adaptation: More...

void	actions_after_adapt ()
	After adaptation: Unpin all pressures and then pin redudant pressure dofs. More...

void	pin_boundaries ()
	Pin boundaries. More...

void	setup_external_pressure ()
	Set up external pressure and pass to traction elements. More...

void	assign_external_pressure ()
	Set up external pressure and pass to traction elements. More...

jh_mesh< ELEMENT > *	mesh_pt ()

void	actions_before_newton_convergence_check ()

void	element_output (std::ostream &outfile, unsigned e, const unsigned &nplot)
	Output an individual element. More...

double	get_pext ()

void	set_pext (double p)

void	get_shear_stress (Vector< double > &shear_stress)

void	pin_boundaries_to_zero ()

void	output_streamfunction (DocInfo &doc_info, bool eigen)

void	get_symmetry (DoubleVector &symmetry, double pressure_norm)

int	get_Jacobian_sign ()

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

void	header (ofstream &some_file)

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 Attributes
Data *	External_pressure_data_pt
	Data object whose single value stores the external pressure. 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_solve ()

virtual void	actions_after_newton_solve ()

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 void	set_initial_condition ()

virtual double	global_temporal_error_norm ()

unsigned	newton_solve_continuation (double *const &parameter_pt)

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

void	calculate_continuation_derivatives (double *const &parameter_pt)

void	calculate_continuation_derivatives (const DoubleVector &z)

void	calculate_continuation_derivatives_fd (double *const &parameter_pt)

bool	does_pointer_correspond_to_problem_data (double *const &parameter_pt)

void	set_consistent_pinned_values_for_continuation ()

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

std::map< double *, bool >	Calculate_dparameter_analytic

bool	Calculate_hessian_products_analytic

LinearAlgebraDistribution *	Dof_distribution_pt

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

DoubleVectorWithHaloEntries	Element_count_per_dof

double	Relaxation_factor

double	Newton_solver_tolerance

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

unsigned	Nnewton_iter_taken

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

double	Max_residuals

bool	Time_adaptive_newton_crash_on_solve_fail

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

bool	Jacobian_has_been_computed

bool	Problem_is_nonlinear

bool	Pause_at_end_of_sparse_assembly

bool	Doc_time_in_distribute

unsigned	Sparse_assembly_method

unsigned	Sparse_assemble_with_arrays_initial_allocation

unsigned	Sparse_assemble_with_arrays_allocation_increment

Vector< Vector< unsigned > >	Sparse_assemble_with_arrays_previous_allocation

double	Numerical_zero_for_sparse_assembly

double	FD_step_used_in_get_hessian_vector_products

bool	Mass_matrix_reuse_is_enabled

bool	Mass_matrix_has_been_computed

bool	Discontinuous_element_formulation

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

double	Maximum_dt
	Maximum desired dt. More...

double	DTSF_max_increase

double	DTSF_min_decrease

double	Minimum_dt_but_still_proceed

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

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

double	Theta_squared

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

double	Continuation_direction

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

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

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

unsigned	Dof_derivative_offset

unsigned	Dof_current_offset

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

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

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

unsigned	Desired_newton_iterations_ds

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

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

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

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

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

bool	Use_finite_differences_for_continuation_derivatives

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

bool	Always_take_one_newton_step

double	Timestep_reduction_factor_after_nonconvergence

bool	Keep_temporal_error_below_tolerance

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

Detailed Description

template<class ELEMENT>
class PolarNSProblem< ELEMENT >

Driven cavity problem in rectangular domain.

///////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////// Further includes: ///////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////

Constructor & Destructor Documentation

◆ PolarNSProblem()

template<class ELEMENT >

PolarNSProblem< ELEMENT >::PolarNSProblem

Constructor.

Constructor for PolarNS problem.

 { 
  // Increace max residuals slightly
  Max_residuals=20000;
  Max_newton_iterations=20;
  
  // Setup mesh
  
  // # of elements in x-direction
  unsigned Nx=Global_Physical_Variables::xmesh;
  
  // # of elements in y-direction
  unsigned Ny=Global_Physical_Variables::ymesh;
  
  // Build and assign mesh
  Problem::mesh_pt() = new jh_mesh<ELEMENT>(Nx,Ny);
  
  // Set error estimator
  Z2ErrorEstimator* error_estimator_pt=new Z2ErrorEstimator;
  //dynamic_cast<Refineable_r_mesh<ELEMENT>*>(mesh_pt())->
  //spatial_error_estimator_pt()=error_estimator_pt;
  mesh_pt()->spatial_error_estimator_pt()=error_estimator_pt;
  
  //pin the necessary boundaries
  pin_boundaries();
  
  // Complete the build of all elements so they are fully functional
  
  //Find number of fluid elements in mesh
  unsigned n_fluid = mesh_pt()->fluid_elt_length();
  
  // Loop over the elements to set up element-specific 
  // things that cannot be handled by constructor
  for(unsigned e=0;e<n_fluid;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 alpha
    el_pt->alpha_pt() = &Global_Physical_Variables::Alpha;
    //Set the re_st pointer
    el_pt->re_st_pt() = &Global_Physical_Variables::Re;
    
   } // end loop over elements
  
  // Pin redudant pressure dofs
  RefineablePolarNavierStokesEquations::
    pin_redundant_nodal_pressures(mesh_pt()->fluid_elt_vector());
  
  //Determine whether we have traction elements at both ends
  if(Global_Physical_Variables::inlet_traction && Global_Physical_Variables::outlet_traction) {setup_external_pressure();}
  
  // Now set the first pressure value in element 0 to 0.0
  // But only if all B.C.s are Dirichlet
  if(!Global_Physical_Variables::inlet_traction && !Global_Physical_Variables::outlet_traction) fix_pressure(0,0,0.0);
  
  // Setup equation numbering scheme
  cout << "Number of equations: " << assign_eqn_numbers() << endl; 
  
 } // end_of_constructor

References Global_Physical_Variables::Alpha, e(), MeshRefinement::error_estimator_pt, Global_Physical_Variables::inlet_traction, oomph::Locate_zeta_helpers::Max_newton_iterations, GlobalParameters::Nx, GlobalParameters::Ny, Global_Physical_Variables::outlet_traction, Global_Physical_Variables::Re, Global_Physical_Variables::xmesh, and Global_Physical_Variables::ymesh.

◆ ~PolarNSProblem()

template<class ELEMENT >

PolarNSProblem< ELEMENT >::~PolarNSProblem

Destructor to clean up memory.

Destructor for PolarNS problem.

 { 
  
  // Mesh gets killed in general problem destructor
  
 } // end_of_destructor

Member Function Documentation

◆ actions_after_adapt()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::actions_after_adapt ( )

inlinevirtual

After adaptation: Unpin all pressures and then pin redudant pressure dofs.

Reimplemented from oomph::Problem.

   {
    //Reassign fluid elements to storage
    mesh_pt()->assign_fluid_element_vector();
  
    //Reattach surface elements
    if(Global_Physical_Variables::inlet_traction) mesh_pt()->make_traction_elements(false);
    if(Global_Physical_Variables::outlet_traction) mesh_pt()->make_traction_elements(true);
    if(Global_Physical_Variables::inlet_traction && Global_Physical_Variables::outlet_traction) mesh_pt()->make_flux_element();
  
    //Reattach shear elements
    mesh_pt()->make_shear_elements();
  
    // Unpin all pressure dofs
    RefineablePolarNavierStokesEquations::
     unpin_all_pressure_dofs(mesh_pt()->fluid_elt_vector());
   
     // Pin redundant pressure dofs
    RefineablePolarNavierStokesEquations::
     pin_redundant_nodal_pressures(mesh_pt()->fluid_elt_vector());
  
    //Determine whether we have traction elements at both ends
    if(Global_Physical_Variables::inlet_traction && Global_Physical_Variables::outlet_traction) {assign_external_pressure();}
  
    // Now set the first pressure value in element 0 to 0.0
    // But only if all B.C.s are Dirichlet
    if(!Global_Physical_Variables::inlet_traction && !Global_Physical_Variables::outlet_traction) fix_pressure(0,0,0.0);
  
   } // end_of_actions_after_adapt

References Global_Physical_Variables::inlet_traction, and Global_Physical_Variables::outlet_traction.

◆ actions_after_solve()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::actions_after_solve ( )

inline

Update the after solve (empty)

157 {}

◆ actions_before_adapt()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::actions_before_adapt ( )

inlinevirtual

Before adaptation:

Reimplemented from oomph::Problem.

   {
    //Strip off all surface elements
    mesh_pt()->remove_traction_elements();
    mesh_pt()->remove_shear_elements();
  
    //Reset the external pressure data pointer if there is one
    //using namespace Global_Physical_Variables;
    //if(inlet_traction && outlet_traction) 
    //{delete External_pressure_data_pt;External_pressure_data_pt=0;}
  
    //Remove global data from problem
    flush_global_data();
  
   }

◆ actions_before_newton_convergence_check()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::actions_before_newton_convergence_check ( )

inlinevirtual

Any actions that are to be performed before the residual is checked in the Newton method, e.g. update any boundary conditions that depend upon variables of the problem; update any ‘dependent’ variables; or perform an update of the nodal positions in SpineMeshes etc. CAREFUL: This step should (and if the FD-based LinearSolver FD_LU is used, must) only update values that are pinned!

Reimplemented from oomph::Problem.

  {
   actions_before_solve();
  }// End of actions_before_newton_convergence_check

◆ actions_before_solve()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::actions_before_solve ( )

inline

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

  {
   unsigned long start=1,end=4;
   if(Global_Physical_Variables::inlet_traction) end=2;
   if(Global_Physical_Variables::outlet_traction) start=3;
  
   double A = Global_Physical_Variables::Alpha;
  
   for(unsigned long ibound=start;ibound<end;ibound+=2)
    {
     unsigned num_nod= mesh_pt()->nboundary_node(ibound);
     for (unsigned inod=0;inod<num_nod;inod++)
      {
       //Get r
       double r = mesh_pt()->boundary_node_pt(ibound,inod)->x(0);
       double phi = mesh_pt()->boundary_node_pt(ibound,inod)->x(1);
  
       //Use exact stokes solution if necessary
       double exact_u;
       if(Global_Physical_Variables::stokes)
     {
      double m=2.*A;
      double mu=(1./(sin(m)-m*cos(m)));
      exact_u=(mu/r)*(cos(m*phi)-cos(m));
     }
       else{exact_u=0.75*(1.-pow(phi,2.))/(A*r);}
       
       mesh_pt()->boundary_node_pt(ibound,inod)->set_value(0,exact_u);
       mesh_pt()->boundary_node_pt(ibound,inod)->set_value(1,0.0);
      }
    }//End of dirichlet inlet/outlet in u
  
   if(Global_Physical_Variables::pinv)
    {
     //If we haven't just pinned v at the inlet (end=2)
     //then pin it here
     if(end==2)
      {
       //Pin v at inlet 
       unsigned long ibound=3;
       unsigned num_nod= mesh_pt()->nboundary_node(ibound);
       for (unsigned inod=0;inod<num_nod;inod++)
        {     
     // No flow in azimuthal direction:
     mesh_pt()->boundary_node_pt(ibound,inod)->set_value(1,0.0);
        }
      }
    }//End of pinv
  
   // Loop over remaining boundaries (side walls)
   unsigned num_bound = mesh_pt()->nboundary();
  
   // No penetration and no slip condition on remaining boundaries
   for(unsigned long ibound=0;ibound<num_bound;ibound=ibound+2)
     {
       unsigned num_nod= mesh_pt()->nboundary_node(ibound);
       for (unsigned inod=0;inod<num_nod;inod++)
     {
       mesh_pt()->boundary_node_pt(ibound,inod)->set_value(0,0.);
       //No flow in theta direction
       mesh_pt()->boundary_node_pt(ibound,inod)->set_value(1,0.);
         }
     }//End of setting side walls to zero
  
  } // end_of_actions_before_solve

References Global_Physical_Variables::Alpha, cos(), Eigen::placeholders::end, TanhSolnForLinearWave::exact_u(), Global_Physical_Variables::inlet_traction, m, Global_Parameters::mu, Global_Physical_Variables::outlet_traction, Global_Physical_Variables::pinv, Eigen::bfloat16_impl::pow(), UniformPSDSelfTest::r, sin(), oomph::CumulativeTimings::start(), and Global_Physical_Variables::stokes.

◆ assign_external_pressure()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::assign_external_pressure ( )

inline

Set up external pressure and pass to traction elements.

   {
    // Regard the external pressure as an unknown and add
    // it to the problem's global data.
    add_global_data(External_pressure_data_pt);
  
    //Can pin our external pressure if needed
    //External_pressure_data_pt->pin(0);
  
    //pass flux element the external pressure data
    FluxConstraint* flux_el_pt = this->mesh_pt()->flux_constraint_elt_pt();
  
    flux_el_pt->set_pressure_data(External_pressure_data_pt);
  
    //Need to pass pointer to external pressure to inlet traction elements
    unsigned n_inlet = mesh_pt()->inlet_traction_elt_length();
    for(unsigned e=0;e<n_inlet;e++)
     {
      this->mesh_pt()->inlet_traction_elt_pt(e)->set_external_pressure_data(External_pressure_data_pt);
     }
  
   } // end of assign_external_pressure

References e(), and oomph::FluxConstraint::set_pressure_data().

◆ doc_solution()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::doc_solution ( DocInfo & doc_info )

Doc the solution.

 { 
  ofstream some_file;
  char filename[100];
  
  // Number of plot points 
  unsigned npts;
  npts=3; 
  
  // Output solution 
  sprintf(filename,"%s/soln%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  header( some_file );
  unsigned n_fluid = mesh_pt()->fluid_elt_length();
  for(unsigned e=0;e<n_fluid;e++)
   {
    ELEMENT* el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e));
    el_pt->output(some_file,npts);
   }
  some_file.close();
  
 } // end_of_doc_solution

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

◆ element_output()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::element_output	(	std::ostream &	outfile,
		unsigned	e,
		const unsigned &	nplot
	)

Output an individual element.

 { 
   // Upcast from GeneralisedElement to the present element
   ELEMENT* el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e));
  
   el_pt->output(outfile,nplot);
  
 } // end_of_element_output

References e().

◆ fix_pressure()

template<class ELEMENT >

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

inline

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

   {
    //Cast to full element type and fix the pressure at that element
    dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e))->
                           fix_pressure(pdof,pvalue);
   } // end of fix_pressure

References e().

◆ get_Jacobian_sign()

template<class ELEMENT >

int PolarNSProblem< ELEMENT >::get_Jacobian_sign

 {
   int sign=Sign_of_jacobian;
   return sign;
 } //End of get_Jacobian_sign

References SYCL::sign().

◆ get_pext()

template<class ELEMENT >

double PolarNSProblem< ELEMENT >::get_pext

 {
  return External_pressure_data_pt->value(0);
 }

◆ get_shear_stress()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::get_shear_stress ( Vector< double > & shear_stress )

 {
  //Find the number of shear elements
  unsigned Nshear_lower = mesh_pt()->lower_stress_integral_elt_length();
  unsigned Nshear_upper = mesh_pt()->upper_stress_integral_elt_length();
  
  //Storage for element pointer
  PolarStressIntegralElement<ELEMENT>* el_pt;
  
  //Storage for answer
  double lower=0.0,upper=0.0;
  
  for(unsigned e=0;e<Nshear_lower;e++)
   {
    el_pt = dynamic_cast<PolarStressIntegralElement<ELEMENT>*>(this->mesh_pt()->lower_stress_integral_elt_pt(e));
    lower+= el_pt->get_shear_stress();
   }
  for(unsigned e=0;e<Nshear_upper;e++)
   {
    el_pt = dynamic_cast<PolarStressIntegralElement<ELEMENT>*>(this->mesh_pt()->upper_stress_integral_elt_pt(e));
    upper+= el_pt->get_shear_stress();
   }
  
  shear_stress[0]=lower;
  shear_stress[1]=upper;
  
 } //End of get shear_stress

References e(), oomph::PolarStressIntegralElement< ELEMENT >::get_shear_stress(), and helpers::lower().

◆ get_symmetry()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::get_symmetry	(	DoubleVector &	symmetry,
		double	pressure_norm
	)

 {
  // First store the current dof values
  this->store_current_dof_values();
  
  //Loop over nodes and set nodal values according to symmetry
  unsigned num_nod= mesh_pt()->nnode();
  for (unsigned inod=0;inod<num_nod;inod++)
   {
    // Get coordinates of node
    double r = mesh_pt()->node_pt(inod)->x(0);
    double phi = mesh_pt()->node_pt(inod)->x(1);
    
    // Anti-symmetric in u, symmetric in v
    mesh_pt()->node_pt(inod)->set_value(0,r*phi*(1.-phi*phi));
    mesh_pt()->node_pt(inod)->set_value(1,(1.-phi*phi));
   }
  
  //Loop over fluid elements to set pressure dofs
  unsigned n_fluid = mesh_pt()->fluid_elt_length();
  for(unsigned e=0;e<n_fluid;e++)
   {
    // Upcast from GeneralisedElement to the present element
    ELEMENT* el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e));
  
    Vector<double> s(2,0.0);
    double r = el_pt->interpolated_x(s,0);
    double phi = el_pt->interpolated_x(s,1);
    s[0]=-1.;double r_min = el_pt->interpolated_x(s,0);
    s[0]=1.;double r_max = el_pt->interpolated_x(s,0);
    s[1]=-1.;double phi_min = el_pt->interpolated_x(s,1);
    s[1]=1.;double phi_max = el_pt->interpolated_x(s,1);
  
    double a = phi*(1.-phi*phi)*r*r;
    double b = phi*(1.-phi*phi)*2.*r*(r_max-r_min)/2.;
    double c = (1.-3.*phi*phi)*r*r*(phi_max-phi_min)/2.;
  
    //Set the pressure dofs to give an antisymmetric pressure
    *el_pt->internal_data_pt(0)->value_pt(0) = a*pressure_norm;
    *el_pt->internal_data_pt(0)->value_pt(1) = b*pressure_norm;
    *el_pt->internal_data_pt(0)->value_pt(2) = c*pressure_norm;
    
   } // end loop over fluid elements
  
  //Finally set the value of pext (if appropriate)
  if(Global_Physical_Variables::inlet_traction 
     && Global_Physical_Variables::outlet_traction) this->set_pext(0.0);
  
  //Get the dofs
  this->get_dofs(symmetry);
  
  // Finally restore the dof values
  this->restore_dof_values(); 
  
 } //End of get_symmetry

References a, b, calibrate::c, e(), Global_Physical_Variables::inlet_traction, Global_Physical_Variables::outlet_traction, UniformPSDSelfTest::r, BiharmonicTestFunctions2::r_max, BiharmonicTestFunctions2::r_min, and s.

◆ header()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::header ( ofstream & some_file )

  {
   using namespace Global_Physical_Variables;
   some_file << "# Refineable mesh" << "\n";
   some_file << "# Re = " << Re << " Alpha = " << Alpha << " R_l = " << R_l << "\n";
   some_file << "# Initial xmesh = " << xmesh << " Initial ymesh = " << ymesh << "\n";
   some_file << "# Uniform refinements: " << uniform << " Adaptive refinements: " << adaptive << "\n";
   some_file << "# inlet_traction = " << inlet_traction << " eta_inlet = " << eta_inlet << "\n";
   some_file << "# outlet_traction = " << outlet_traction << " eta_outlet = " << eta_outlet << "\n";
   some_file << "# log_mesh = " << log_mesh << " new_outlet_region = " << new_outlet_region << "\n";
   some_file << "# pinv = " << pinv << "\n";
   some_file << "# Total equations = " << this->ndof() << "\n";
   some_file << "\n";
  }

◆ mesh_pt()

template<class ELEMENT >

jh_mesh<ELEMENT>* PolarNSProblem< ELEMENT >::mesh_pt ( )

inline

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

◆ output_streamfunction()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::output_streamfunction	(	DocInfo &	doc_info,
		bool	eigen
	)

 {
  //Create a streamfunction problem 
  // This needs to know if its solving for the flow or the eigenfunction
  StreamfunctionProblem stream_problem(eigen); 
  
  // Document the refines to date
  Vector<Vector<unsigned> > refinement_pattern;
  cout << "Obtaining refinement pattern of mesh" << endl;
  this->mesh_pt()->get_refinement_pattern(refinement_pattern);
  cout << "Refining streamfunction mesh to same level" << endl;
  stream_problem.actions_before_adapt();
  stream_problem.mesh_pt()->refine_base_mesh(refinement_pattern);
  stream_problem.actions_after_adapt();
  cout << "Streamfunction mesh refined to same level" << endl;
  cout << "Number of (streamfunction) equations:" << stream_problem.assign_eqn_numbers() << endl;
  cout << "Assigning velocities to streamfunction problem" << endl;
  clock_t start=clock();
  
  unsigned num_nod1 = this->mesh_pt()->nnode();
  unsigned num_nod2 = stream_problem.mesh_pt()->nnode();
  cout << "num_nod1: " << num_nod1 << endl;
  cout << "num_nod2: " << num_nod2 << endl;
  for(unsigned i=0;i<num_nod2;i++)
    {
     double r2 = stream_problem.mesh_pt()->node_pt(i)->x(0);
     double phi2 = stream_problem.mesh_pt()->node_pt(i)->x(1);
  
     int found=-1;int j=0;
     double u=0.;double v=0.;
     while(found<0)
       {
     double r = this->mesh_pt()->node_pt(j)->x(0);
     double phi = this->mesh_pt()->node_pt(j)->x(1);
     if((abs(r-r2)<1.e-8) && (abs(phi-phi2)<1.e-8))
     {
      u = this->mesh_pt()->node_pt(j)->value(0);
      v = this->mesh_pt()->node_pt(j)->value(1);
      found=1;
     }
     j+=1;
       }
  
     // Transfer values across from old node to new node
     stream_problem.mesh_pt()->node_pt(i)->set_value(1,u);
     stream_problem.mesh_pt()->node_pt(i)->set_value(2,v);
    }
  
  clock_t end=clock();
  cout << "This took  "<<(double(end-start))/CLOCKS_PER_SEC<<" seconds."<<endl; 
  
  stream_problem.newton_solve();
  stream_problem.doc_solution(doc_info);
  //Select output file 
  char file_name[100];
  sprintf(file_name,"my_streamfunction%i.dat",doc_info.number());
  stream_problem.my_output(201,81,false,file_name);
  
 } //End of output_streamfunction

References abs(), oomph::StreamfunctionProblem::actions_after_adapt(), oomph::StreamfunctionProblem::actions_before_adapt(), oomph::Problem::assign_eqn_numbers(), oomph::StreamfunctionProblem::doc_solution(), Eigen::placeholders::end, Particles2023AnalysisHung::file_name, MergeRestartFiles::found, i, j, oomph::StreamfunctionProblem::mesh_pt(), oomph::StreamfunctionProblem::my_output(), oomph::Problem::newton_solve(), oomph::Mesh::nnode(), oomph::Mesh::node_pt(), oomph::DocInfo::number(), UniformPSDSelfTest::r, oomph::TreeBasedRefineableMeshBase::refine_base_mesh(), oomph::Data::set_value(), oomph::CumulativeTimings::start(), v, and oomph::Node::x().

◆ pin_boundaries()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::pin_boundaries ( )

inline

Pin boundaries.

   {
    // Inlet/Outlet perturbation  
    //Which ends do we need to pin both u and v at?
    unsigned long start=1,end=4;
    if(Global_Physical_Variables::inlet_traction) end=2;
    if(Global_Physical_Variables::outlet_traction) start=3;
  
    for(unsigned long ibound=start;ibound<end;ibound+=2)
     {
      cout << "Pinning u on boundary: " << ibound << endl;
      unsigned num_nod= mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        //pin u velocity
        mesh_pt()->boundary_node_pt(ibound,inod)->pin(0);
        //pin v velocity
        mesh_pt()->boundary_node_pt(ibound,inod)->pin(1); 
       }
     } // End pinning of inlet and outlet
  
    if(Global_Physical_Variables::pinv)
     {
      //If we haven't just pinned v at the inlet (end=2)
      //then pin it here
      if(end==2)
       {
        unsigned long ibound=3;
        cout << "Pinning v at inlet. " << endl;
        unsigned num_nod= mesh_pt()->nboundary_node(ibound);
        for (unsigned inod=0;inod<num_nod;inod++)
     {
      //pin u velocity
      mesh_pt()->boundary_node_pt(ibound,inod)->pin(1); 
     }
       }
     } // end pin v at inlet
  
    //Pin velocities on side walls to zero
    unsigned num_bound = mesh_pt()->nboundary();
    for(unsigned ibound=0;ibound<num_bound;ibound+=2)
     {
      unsigned num_nod= mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        // Loop over values (u and v velocities)
        for (unsigned i=0;i<2;i++)
     {
      mesh_pt()->boundary_node_pt(ibound,inod)->pin(i); 
     }
       }
     } // end loop over side walls
  
   } // end_of_pin_boundaries

References Eigen::placeholders::end, i, Global_Physical_Variables::inlet_traction, Global_Physical_Variables::outlet_traction, Global_Physical_Variables::pinv, and oomph::CumulativeTimings::start().

◆ pin_boundaries_to_zero()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::pin_boundaries_to_zero

 {
   //Initially set to zero both inlet and outlet
   unsigned long start=1,end=4;
   //But which ends have we pinned u at?
   if(Global_Physical_Variables::inlet_traction) end=2;
   if(Global_Physical_Variables::outlet_traction) start=3;
   for(unsigned long ibound=start;ibound<end;ibound+=2)
    {
     unsigned num_nod= mesh_pt()->nboundary_node(ibound);
     for (unsigned inod=0;inod<num_nod;inod++)
      {
       //Pin to zero
       mesh_pt()->boundary_node_pt(ibound,inod)->set_value(0,0.0);
      }
    }//End of dirichlet inlet/outlet in u
  
 } //End of pin_boundaries_to_zero

References Eigen::placeholders::end, Global_Physical_Variables::inlet_traction, Global_Physical_Variables::outlet_traction, and oomph::CumulativeTimings::start().

◆ set_pext()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::set_pext ( double p )

 {
  External_pressure_data_pt->set_value(0,p);
 }

References p.

◆ setup_external_pressure()

template<class ELEMENT >

void PolarNSProblem< ELEMENT >::setup_external_pressure ( )

inline

Set up external pressure and pass to traction elements.

   {
     //Create a Data object whose single value stores the
    //external pressure
    External_pressure_data_pt = new Data(1);
  
    // Set external pressure
    External_pressure_data_pt->set_value(0,0.0);
  
    //Now assign it to the problem
    assign_external_pressure();
  
   } // end of setup_external_pressure

References oomph::Data::set_value().

Member Data Documentation

◆ External_pressure_data_pt

template<class ELEMENT >

Data* PolarNSProblem< ELEMENT >::External_pressure_data_pt

private

Data object whose single value stores the external pressure.

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

jeffery_hamel.cc

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT> class PolarNSProblem< ELEMENT >

Constructor & Destructor Documentation

◆ PolarNSProblem()

◆ ~PolarNSProblem()

Member Function Documentation

◆ actions_after_adapt()

◆ actions_after_solve()

◆ actions_before_adapt()

◆ actions_before_newton_convergence_check()

◆ actions_before_solve()

◆ assign_external_pressure()

◆ doc_solution()

◆ element_output()

◆ fix_pressure()

◆ get_Jacobian_sign()

◆ get_pext()

◆ get_shear_stress()

◆ get_symmetry()

◆ header()

◆ mesh_pt()

◆ output_streamfunction()

◆ pin_boundaries()

◆ pin_boundaries_to_zero()

◆ set_pext()

◆ setup_external_pressure()

Member Data Documentation

◆ External_pressure_data_pt

template<class ELEMENT>
class PolarNSProblem< ELEMENT >