RectangularDrivenCavityProblem< ELEMENT > Class Template Reference

Driven cavity problem in rectangular domain. More...

+ Inheritance diagram for RectangularDrivenCavityProblem< ELEMENT >:

Public Member Functions

 RectangularDrivenCavityProblem (const unsigned &element_multiplier, const bool &use_iterative_solver, const bool &use_hypre_for_pressure, const bool &use_hypre_for_momentum, const bool &use_block_diagonal_for_momentum)
 
 ~RectangularDrivenCavityProblem ()
 Destructor. More...
 
void fix_pressure (const unsigned &e, const unsigned &pdof, const double &pvalue)
 Fix pressure in element e at pressure dof pdof and set to pvalue. More...
 
void actions_after_newton_solve ()
 Update the after solve (empty) More...
 
void actions_before_newton_solve ()
 
SimpleRectangularQuadMesh< ELEMENT > * mesh_pt ()
 
void doc_solution (DocInfo &doc_info)
 Doc the solution. More...
 
 RectangularDrivenCavityProblem ()
 Constructor for RectangularDrivenCavity problem. More...
 
 ~RectangularDrivenCavityProblem ()
 Destructor. More...
 
void fix_pressure (const unsigned &e, const unsigned &pdof, const double &pvalue)
 Fix pressure in element e at pressure dof pdof and set to pvalue. More...
 
void actions_after_newton_solve ()
 Update the after solve (empty) More...
 
void actions_before_newton_solve ()
 
SimpleRectangularQuadMesh< ELEMENT > * mesh_pt ()
 
void doc_solution (DocInfo &doc_info)
 Doc the solution. More...
 
 RectangularDrivenCavityProblem (const unsigned &element_multiplier, const bool &use_iterative_solver, const bool &use_hypre_for_pressure, const bool &use_hypre_for_momentum, const bool &use_block_diagonal_for_momentum)
 
 ~RectangularDrivenCavityProblem ()
 Destructor. More...
 
void fix_pressure (const unsigned &e, const unsigned &pdof, const double &pvalue)
 Fix pressure in element e at pressure dof pdof and set to pvalue. More...
 
void actions_after_newton_solve ()
 Update the after solve (empty) More...
 
void actions_before_newton_solve ()
 
SimpleRectangularQuadMesh< ELEMENT > * mesh_pt ()
 
void doc_solution (DocInfo &doc_info)
 Doc the solution. More...
 
void actions_before_adapt ()
 
void actions_after_adapt ()
 Actions that are to be performed after a mesh adaptation. More...
 
void actions_before_distribute ()
 
void actions_after_distribute ()
 
 RectangularDrivenCavityProblem ()
 Constructor. More...
 
 ~RectangularDrivenCavityProblem ()
 Destructor (empty) More...
 
void fix_pressure (const unsigned &e, const unsigned &pdof, const double &pvalue)
 Fix pressure in element e at pressure dof pdof and set to pvalue. More...
 
void actions_after_newton_solve ()
 Update the after solve (empty) More...
 
void actions_before_newton_solve ()
 
SimpleRectangularQuadMesh< ELEMENT > * mesh_pt ()
 
void doc_solution (DocInfo &doc_info)
 Doc the solution. More...
 
 RectangularDrivenCavityProblem ()
 Constructor. More...
 
 ~RectangularDrivenCavityProblem ()
 Destructor (empty) More...
 
void fix_pressure (const unsigned &e, const unsigned &pdof, const double &pvalue)
 Fix pressure in element e at pressure dof pdof and set to pvalue. More...
 
void actions_after_newton_solve ()
 Update the after solve (empty) More...
 
void actions_before_newton_solve ()
 Update the before solve (empty) More...
 
void doc_solution (DocInfo &doc_info)
 Doc the solution. More...
 
void actions_before_newton_step ()
 
void setup_line_plot_points ()
 Build line plot points. More...
 
 RectangularDrivenCavityProblem ()
 Constructor. More...
 
 ~RectangularDrivenCavityProblem ()
 Destructor (empty) More...
 
void sparse_assemble_row_or_column_compressed_test (Vector< Vector< int > > &column_or_row_index, Vector< Vector< int > > &row_or_column_start, Vector< Vector< double > > &value, Vector< Vector< double > * > &residuals, bool compressed_row_flag, unsigned method=1)
 To be killed. More...
 
void fix_pressure (const unsigned &e, const unsigned &pdof, const double &pvalue)
 Fix pressure in element e at pressure dof pdof and set to pvalue. More...
 
void actions_after_newton_solve ()
 Update the after solve (empty) More...
 
void actions_before_newton_solve ()
 
SimpleRectangularQuadMesh< ELEMENT > * mesh_pt ()
 
void doc_solution (DocInfo &doc_info)
 Doc the solution. More...
 
void compare_assembly_strategies (const unsigned &method)
 Do what it says... More...
 
 RectangularDrivenCavityProblem ()
 Constructor. More...
 
 ~RectangularDrivenCavityProblem ()
 Destructor to clean up memory. More...
 
void fix_pressure (const unsigned &e, const unsigned &pdof, const double &pvalue)
 Fix pressure in element e at pressure dof pdof and set to pvalue. More...
 
void actions_after_newton_solve ()
 Update the after solve (empty) More...
 
void actions_before_newton_solve ()
 
SimpleRectangularQuadMesh< ELEMENT > * mesh_pt ()
 
void doc_solution (DocInfo &doc_info)
 Doc the solution. More...
 
- Public Member Functions inherited from oomph::Problem
virtual void debug_hook_fct (const unsigned &i)
 
void set_analytic_dparameter (double *const &parameter_pt)
 
void unset_analytic_dparameter (double *const &parameter_pt)
 
bool is_dparameter_calculated_analytically (double *const &parameter_pt)
 
void set_analytic_hessian_products ()
 
void unset_analytic_hessian_products ()
 
bool are_hessian_products_calculated_analytically ()
 
void set_pinned_values_to_zero ()
 
bool distributed () const
 
OomphCommunicator * communicator_pt ()
 access function to the oomph-lib communicator More...
 
const OomphCommunicator * communicator_pt () const
 access function to the oomph-lib communicator, const version More...
 
 Problem ()
 
 Problem (const Problem &dummy)=delete
 Broken copy constructor. More...
 
void operator= (const Problem &)=delete
 Broken assignment operator. More...
 
virtual ~Problem ()
 Virtual destructor to clean up memory. More...
 
Mesh *& mesh_pt ()
 Return a pointer to the global mesh. More...
 
Mesh *const & mesh_pt () const
 Return a pointer to the global mesh (const version) More...
 
Mesh *& mesh_pt (const unsigned &imesh)
 
Mesh *const & mesh_pt (const unsigned &imesh) const
 Return a pointer to the i-th submesh (const version) More...
 
unsigned nsub_mesh () const
 Return number of submeshes. More...
 
unsigned add_sub_mesh (Mesh *const &mesh_pt)
 
void flush_sub_meshes ()
 
void build_global_mesh ()
 
void rebuild_global_mesh ()
 
LinearSolver *& linear_solver_pt ()
 Return a pointer to the linear solver object. More...
 
LinearSolver *const & linear_solver_pt () const
 Return a pointer to the linear solver object (const version) More...
 
LinearSolver *& mass_matrix_solver_for_explicit_timestepper_pt ()
 
LinearSolver * mass_matrix_solver_for_explicit_timestepper_pt () const
 
EigenSolver *& eigen_solver_pt ()
 Return a pointer to the eigen solver object. More...
 
EigenSolver *const & eigen_solver_pt () const
 Return a pointer to the eigen solver object (const version) More...
 
Time *& time_pt ()
 Return a pointer to the global time object. More...
 
Time * time_pt () const
 Return a pointer to the global time object (const version). More...
 
double & time ()
 Return the current value of continuous time. More...
 
double time () const
 Return the current value of continuous time (const version) More...
 
TimeStepper *& time_stepper_pt ()
 
const TimeStepper * time_stepper_pt () const
 
TimeStepper *& time_stepper_pt (const unsigned &i)
 Return a pointer to the i-th timestepper. More...
 
ExplicitTimeStepper *& explicit_time_stepper_pt ()
 Return a pointer to the explicit timestepper. More...
 
unsigned long set_timestepper_for_all_data (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data=false)
 
virtual void shift_time_values ()
 Shift all values along to prepare for next timestep. More...
 
AssemblyHandler *& assembly_handler_pt ()
 Return a pointer to the assembly handler object. More...
 
AssemblyHandler *const & assembly_handler_pt () const
 Return a pointer to the assembly handler object (const version) More...
 
double & minimum_dt ()
 Access function to min timestep in adaptive timestepping. More...
 
double & maximum_dt ()
 Access function to max timestep in adaptive timestepping. More...
 
unsigned & max_newton_iterations ()
 Access function to max Newton iterations before giving up. More...
 
void problem_is_nonlinear (const bool &prob_lin)
 Access function to Problem_is_nonlinear. More...
 
double & max_residuals ()
 
bool & time_adaptive_newton_crash_on_solve_fail ()
 Access function for Time_adaptive_newton_crash_on_solve_fail. More...
 
double & newton_solver_tolerance ()
 
void add_time_stepper_pt (TimeStepper *const &time_stepper_pt)
 
void set_explicit_time_stepper_pt (ExplicitTimeStepper *const &explicit_time_stepper_pt)
 
void initialise_dt (const double &dt)
 
void initialise_dt (const Vector< double > &dt)
 
Data *& global_data_pt (const unsigned &i)
 Return a pointer to the the i-th global data object. More...
 
void add_global_data (Data *const &global_data_pt)
 
void flush_global_data ()
 
LinearAlgebraDistribution *const & dof_distribution_pt () const
 Return the pointer to the dof distribution (read-only) More...
 
unsigned long ndof () const
 Return the number of dofs. More...
 
unsigned ntime_stepper () const
 Return the number of time steppers. More...
 
unsigned nglobal_data () const
 Return the number of global data values. More...
 
unsigned self_test ()
 Self-test: Check meshes and global data. Return 0 for OK. More...
 
void enable_store_local_dof_pt_in_elements ()
 
void disable_store_local_dof_pt_in_elements ()
 
unsigned long assign_eqn_numbers (const bool &assign_local_eqn_numbers=true)
 
void describe_dofs (std::ostream &out= *(oomph_info.stream_pt())) const
 
void enable_discontinuous_formulation ()
 
void disable_discontinuous_formulation ()
 
void get_dofs (DoubleVector &dofs) const
 
void get_dofs (const unsigned &t, DoubleVector &dofs) const
 Return vector of the t'th history value of all dofs. More...
 
void set_dofs (const DoubleVector &dofs)
 Set the values of the dofs. More...
 
void set_dofs (const unsigned &t, DoubleVector &dofs)
 Set the history values of the dofs. More...
 
void set_dofs (const unsigned &t, Vector< double * > &dof_pt)
 
void add_to_dofs (const double &lambda, const DoubleVector &increment_dofs)
 Add lambda x incremenet_dofs[l] to the l-th dof. More...
 
double * global_dof_pt (const unsigned &i)
 
double & dof (const unsigned &i)
 i-th dof in the problem More...
 
double dof (const unsigned &i) const
 i-th dof in the problem (const version) More...
 
double *& dof_pt (const unsigned &i)
 Pointer to i-th dof in the problem. More...
 
double * dof_pt (const unsigned &i) const
 Pointer to i-th dof in the problem (const version) More...
 
virtual void get_inverse_mass_matrix_times_residuals (DoubleVector &Mres)
 
virtual void get_dvaluesdt (DoubleVector &f)
 
virtual void get_residuals (DoubleVector &residuals)
 Get the total residuals Vector for the problem. More...
 
virtual void get_jacobian (DoubleVector &residuals, DenseDoubleMatrix &jacobian)
 
virtual void get_jacobian (DoubleVector &residuals, CRDoubleMatrix &jacobian)
 
virtual void get_jacobian (DoubleVector &residuals, CCDoubleMatrix &jacobian)
 
virtual void get_jacobian (DoubleVector &residuals, SumOfMatrices &jacobian)
 
void get_fd_jacobian (DoubleVector &residuals, DenseMatrix< double > &jacobian)
 Get the full Jacobian by finite differencing. More...
 
void get_derivative_wrt_global_parameter (double *const &parameter_pt, DoubleVector &result)
 
void get_hessian_vector_products (DoubleVectorWithHaloEntries const &Y, Vector< DoubleVectorWithHaloEntries > const &C, Vector< DoubleVectorWithHaloEntries > &product)
 
void solve_eigenproblem (const unsigned &n_eval, Vector< std::complex< double >> &eigenvalue, Vector< DoubleVector > &eigenvector, const bool &steady=true)
 Solve the eigenproblem. More...
 
void solve_eigenproblem (const unsigned &n_eval, Vector< std::complex< double >> &eigenvalue, const bool &steady=true)
 
virtual void get_eigenproblem_matrices (CRDoubleMatrix &mass_matrix, CRDoubleMatrix &main_matrix, const double &shift=0.0)
 
void assign_eigenvector_to_dofs (DoubleVector &eigenvector)
 Assign the eigenvector passed to the function to the dofs. More...
 
void add_eigenvector_to_dofs (const double &epsilon, const DoubleVector &eigenvector)
 
void store_current_dof_values ()
 Store the current values of the degrees of freedom. More...
 
void restore_dof_values ()
 Restore the stored values of the degrees of freedom. More...
 
void enable_jacobian_reuse ()
 
void disable_jacobian_reuse ()
 Disable recycling of Jacobian in Newton iteration. More...
 
bool jacobian_reuse_is_enabled ()
 Is recycling of Jacobian in Newton iteration enabled? More...
 
bool & use_predictor_values_as_initial_guess ()
 
void newton_solve ()
 Use Newton method to solve the problem. More...
 
void enable_globally_convergent_newton_method ()
 enable globally convergent Newton method More...
 
void disable_globally_convergent_newton_method ()
 disable globally convergent Newton method More...
 
void newton_solve (unsigned const &max_adapt)
 
void steady_newton_solve (unsigned const &max_adapt=0)
 
void copy (Problem *orig_problem_pt)
 
virtual Problem * make_copy ()
 
virtual void read (std::ifstream &restart_file, bool &unsteady_restart)
 
virtual void read (std::ifstream &restart_file)
 
virtual void dump (std::ofstream &dump_file) const
 
void dump (const std::string &dump_file_name) const
 
void delete_all_external_storage ()
 
virtual void symmetrise_eigenfunction_for_adaptive_pitchfork_tracking ()
 
double * bifurcation_parameter_pt () const
 
void get_bifurcation_eigenfunction (Vector< DoubleVector > &eigenfunction)
 
void activate_fold_tracking (double *const &parameter_pt, const bool &block_solve=true)
 
void activate_bifurcation_tracking (double *const &parameter_pt, const DoubleVector &eigenvector, const bool &block_solve=true)
 
void activate_bifurcation_tracking (double *const &parameter_pt, const DoubleVector &eigenvector, const DoubleVector &normalisation, const bool &block_solve=true)
 
void activate_pitchfork_tracking (double *const &parameter_pt, const DoubleVector &symmetry_vector, const bool &block_solve=true)
 
void activate_hopf_tracking (double *const &parameter_pt, const bool &block_solve=true)
 
void activate_hopf_tracking (double *const &parameter_pt, const double &omega, const DoubleVector &null_real, const DoubleVector &null_imag, const bool &block_solve=true)
 
void deactivate_bifurcation_tracking ()
 
void reset_assembly_handler_to_default ()
 Reset the system to the standard non-augemented state. More...
 
double arc_length_step_solve (double *const &parameter_pt, const double &ds, const unsigned &max_adapt=0)
 
double arc_length_step_solve (Data *const &data_pt, const unsigned &data_index, const double &ds, const unsigned &max_adapt=0)
 
void reset_arc_length_parameters ()
 
int & sign_of_jacobian ()
 
void explicit_timestep (const double &dt, const bool &shift_values=true)
 Take an explicit timestep of size dt. More...
 
void unsteady_newton_solve (const double &dt)
 
void unsteady_newton_solve (const double &dt, const bool &shift_values)
 
void unsteady_newton_solve (const double &dt, const unsigned &max_adapt, const bool &first, const bool &shift=true)
 
double doubly_adaptive_unsteady_newton_solve (const double &dt, const double &epsilon, const unsigned &max_adapt, const bool &first, const bool &shift=true)
 
double doubly_adaptive_unsteady_newton_solve (const double &dt, const double &epsilon, const unsigned &max_adapt, const unsigned &suppress_resolve_after_spatial_adapt_flag, const bool &first, const bool &shift=true)
 
double adaptive_unsteady_newton_solve (const double &dt_desired, const double &epsilon)
 
double adaptive_unsteady_newton_solve (const double &dt_desired, const double &epsilon, const bool &shift_values)
 
void assign_initial_values_impulsive ()
 
void assign_initial_values_impulsive (const double &dt)
 
void calculate_predictions ()
 Calculate predictions. More...
 
void enable_mass_matrix_reuse ()
 
void disable_mass_matrix_reuse ()
 
bool mass_matrix_reuse_is_enabled ()
 Return whether the mass matrix is being reused. More...
 
void refine_uniformly (const Vector< unsigned > &nrefine_for_mesh)
 
void refine_uniformly (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)
 
void refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh)
 
void refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)
 
void refine_uniformly (DocInfo &doc_info)
 
void refine_uniformly_and_prune (DocInfo &doc_info)
 
void refine_uniformly ()
 
void refine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
 Do uniform refinement for submesh i_mesh with documentation. More...
 
void refine_uniformly (const unsigned &i_mesh)
 Do uniform refinement for submesh i_mesh without documentation. More...
 
void p_refine_uniformly (const Vector< unsigned > &nrefine_for_mesh)
 
void p_refine_uniformly (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)
 
void p_refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh)
 
void p_refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)
 
void p_refine_uniformly (DocInfo &doc_info)
 
void p_refine_uniformly_and_prune (DocInfo &doc_info)
 
void p_refine_uniformly ()
 
void p_refine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
 Do uniform p-refinement for submesh i_mesh with documentation. More...
 
void p_refine_uniformly (const unsigned &i_mesh)
 Do uniform p-refinement for submesh i_mesh without documentation. More...
 
void refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)
 
void refine_selected_elements (const Vector< RefineableElement * > &elements_to_be_refined_pt)
 
void refine_selected_elements (const unsigned &i_mesh, const Vector< unsigned > &elements_to_be_refined)
 
void refine_selected_elements (const unsigned &i_mesh, const Vector< RefineableElement * > &elements_to_be_refined_pt)
 
void refine_selected_elements (const Vector< Vector< unsigned >> &elements_to_be_refined)
 
void refine_selected_elements (const Vector< Vector< RefineableElement * >> &elements_to_be_refined_pt)
 
void p_refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)
 
void p_refine_selected_elements (const Vector< PRefineableElement * > &elements_to_be_refined_pt)
 
void p_refine_selected_elements (const unsigned &i_mesh, const Vector< unsigned > &elements_to_be_refined)
 
void p_refine_selected_elements (const unsigned &i_mesh, const Vector< PRefineableElement * > &elements_to_be_refined_pt)
 
void p_refine_selected_elements (const Vector< Vector< unsigned >> &elements_to_be_refined)
 
void p_refine_selected_elements (const Vector< Vector< PRefineableElement * >> &elements_to_be_refined_pt)
 
unsigned unrefine_uniformly ()
 
unsigned unrefine_uniformly (const unsigned &i_mesh)
 
void p_unrefine_uniformly (DocInfo &doc_info)
 
void p_unrefine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
 Do uniform p-unrefinement for submesh i_mesh without documentation. More...
 
void adapt (unsigned &n_refined, unsigned &n_unrefined)
 
void adapt ()
 
void p_adapt (unsigned &n_refined, unsigned &n_unrefined)
 
void p_adapt ()
 
void adapt_based_on_error_estimates (unsigned &n_refined, unsigned &n_unrefined, Vector< Vector< double >> &elemental_error)
 
void adapt_based_on_error_estimates (Vector< Vector< double >> &elemental_error)
 
void get_all_error_estimates (Vector< Vector< double >> &elemental_error)
 
void doc_errors (DocInfo &doc_info)
 Get max and min error for all elements in submeshes. More...
 
void doc_errors ()
 Get max and min error for all elements in submeshes. More...
 
void enable_info_in_newton_solve ()
 
void disable_info_in_newton_solve ()
 Disable the output of information when in the newton solver. More...
 
- Public Member Functions inherited from oomph::ExplicitTimeSteppableObject
 ExplicitTimeSteppableObject ()
 Empty constructor. More...
 
 ExplicitTimeSteppableObject (const ExplicitTimeSteppableObject &)=delete
 Broken copy constructor. More...
 
void operator= (const ExplicitTimeSteppableObject &)=delete
 Broken assignment operator. More...
 
virtual ~ExplicitTimeSteppableObject ()
 Empty destructor. More...
 
virtual void actions_before_explicit_stage ()
 
virtual void actions_after_explicit_stage ()
 

Private Attributes

IterativeLinearSolver * Solver_pt
 oomph-lib iterative linear solver More...
 
NavierStokesSchurComplementPreconditioner * Prec_pt
 Preconditioner. More...
 
Preconditioner * P_matrix_preconditioner_pt
 Inexact solver for P block. More...
 
Preconditioner * F_matrix_preconditioner_pt
 Inexact solver for F block. More...
 
SingularNavierStokesSolutionElement< ELEMENT > * Singular_navier_stokes_solution1_element_pt
 
SingularNavierStokesSolutionElement< ELEMENT > * Singular_navier_stokes_solution2_element_pt
 
Mesh * Singular_navier_stokes_solution_mesh_pt
 
Mesh * Navier_stokes_mesh_pt
 Pointer to mesh with Poisson elements. More...
 
MeshAsGeomObject * Mesh_as_geom_object_pt
 Mesh as geom object representation of mesh. More...
 
Vector< Vector< std::pair< GeomObject *, Vector< double > > > > Line_plot_point
 Line_plot_point[i_phi][i_rho]. More...
 

Additional Inherited Members

- Public Types inherited from oomph::Problem
typedef void(* SpatialErrorEstimatorFctPt) (Mesh *&mesh_pt, Vector< double > &elemental_error)
 Function pointer for spatial error estimator. More...
 
typedef void(* SpatialErrorEstimatorWithDocFctPt) (Mesh *&mesh_pt, Vector< double > &elemental_error, DocInfo &doc_info)
 Function pointer for spatial error estimator with doc. More...
 
- Public Attributes inherited from oomph::Problem
bool Shut_up_in_newton_solve
 
- Static Public Attributes inherited from oomph::Problem
static bool Suppress_warning_about_actions_before_read_unstructured_meshes
 
- Protected Types inherited from oomph::Problem
enum  Assembly_method {
  Perform_assembly_using_vectors_of_pairs , Perform_assembly_using_two_vectors , Perform_assembly_using_maps , Perform_assembly_using_lists ,
  Perform_assembly_using_two_arrays
}
 Enumerated flags to determine which sparse assembly method is used. More...
 
- Protected Member Functions inherited from oomph::Problem
unsigned setup_element_count_per_dof ()
 
virtual void sparse_assemble_row_or_column_compressed (Vector< int * > &column_or_row_index, Vector< int * > &row_or_column_start, Vector< double * > &value, Vector< unsigned > &nnz, Vector< double * > &residual, bool compressed_row_flag)
 
virtual void actions_before_newton_convergence_check ()
 
virtual void actions_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 RectangularDrivenCavityProblem< ELEMENT >

Driven cavity problem in rectangular domain.

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

Constructor & Destructor Documentation

◆ RectangularDrivenCavityProblem() [1/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::RectangularDrivenCavityProblem ( const unsigned &  element_multiplier,
const bool &  use_iterative_solver,
const bool &  use_hypre_for_pressure,
const bool &  use_hypre_for_momentum,
const bool &  use_block_diagonal_for_momentum 
)

Constructor: Specify multiplier for number of element rows/columns and solver flag.

Constructor for RectangularDrivenCavity problem: Specify multiplier for number of element rows/columns and solver flag.

200 {
201 
202  // Initialise pointer to oomph-lib iterative linear solver
203  Solver_pt=0;
204 
205  // Initialise pointer to Preconditioner
206  Prec_pt=0;
207 
208  // Initialise pointer to inexact solver for P block
210 
211  // Initialise pointer to inexact solver for F block
213 
214 
215  // Setup mesh
216 
217  // # of elements in x-direction
218  unsigned n_x=10*element_multiplier;
219 
220  // # of elements in y-direction
221  unsigned n_y=10*element_multiplier;
222 
223  // Domain length in x-direction
224  double l_x=1.0;
225 
226  // Domain length in y-direction
227  double l_y=1.0;
228 
229  // Build and assign mesh
230  Problem::mesh_pt() = new SimpleRectangularQuadMesh<ELEMENT>(n_x,n_y,l_x,l_y);
231 
232  // Set the boundary conditions for this problem: All nodes are
233  // free by default -- just pin the ones that have Dirichlet conditions
234  // here.
235  unsigned num_bound = mesh_pt()->nboundary();
236  for(unsigned ibound=0;ibound<num_bound;ibound++)
237  {
238  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
239  for (unsigned inod=0;inod<num_nod;inod++)
240  {
241  // Loop over values (u and v velocities)
242  for (unsigned i=0;i<2;i++)
243  {
244  mesh_pt()->boundary_node_pt(ibound,inod)->pin(i);
245  }
246  }
247  } // end loop over boundaries
248 
249  // Complete the build of all elements so they are fully functional
250 
251  //Find number of elements in mesh
252  unsigned n_element = mesh_pt()->nelement();
253 
254  // Loop over the elements to set up element-specific
255  // things that cannot be handled by constructor
256  for(unsigned e=0;e<n_element;e++)
257  {
258  // Upcast from GeneralisedElement to the present element
259  ELEMENT* el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e));
260 
261  //Set the Reynolds number
262  el_pt->re_pt() = &Global_Physical_Variables::Re;
263  } // end loop over elements
264 
265  // Now set the first pressure value in element 0 to 0.0
266  fix_pressure(0,0,0.0);
267 
268 
269  // Setup iterative linear solver if required
270  if (use_iterative_solver)
271  {
272  // Create oomph-lib iterative linear solver
274 
275  // Set linear solver
277 
278  // Set preconditioner
281 
283 
284  // By default, the LSC Preconditioner uses SuperLU as
285  // an exact preconditioner (i.e. a solver) for the
286  // momentum and Schur complement blocks.
287  // Can overwrite this by passing pointers to
288  // other preconditioners that perform the (approximate)
289  // solves of these blocks.
290 
291  // Create internal preconditioners used on Schur block
292  //-----------------------------------------------------
293 #ifdef OOMPH_HAS_HYPRE
294 //Trap because HYPRE can't handle the case when
295 //OOMPH_HAS_MPI, but we run in serial
296 #ifndef OOMPH_HAS_MPI
297  if (use_hypre_for_pressure)
298  {
300 
301  // Set parameters for use as preconditioner on Poisson-type problem
304 
305  // Use Hypre for the Schur complement block
307 
308  // Shut up!
310  disable_doc_time();
311  }
312 #endif
313 #endif
314 
315  // Create internal preconditioners used on momentum block
316  //--------------------------------------------------------
317  if (use_block_diagonal_for_momentum)
318  {
321 #ifdef OOMPH_HAS_HYPRE
322 //Trap because HYPRE can't handle the case when
323 //OOMPH_HAS_MPI, but we run in serial
324 #ifndef OOMPH_HAS_MPI
325  if (use_hypre_for_momentum)
326  {
328  (F_matrix_preconditioner_pt)->set_subsidiary_preconditioner_function
329  (Hypre_Subsidiary_Preconditioner_Helper::set_hypre_preconditioner);
330  }
331 #endif
332 #endif
333  // Use Hypre for momentum block
335  }
336  else
337  {
338 #ifdef OOMPH_HAS_HYPRE
339 //Trap because HYPRE can't handle the case when
340 //OOMPH_HAS_MPI, but we run in serial
341 #ifndef OOMPH_HAS_MPI
342  if (use_hypre_for_momentum)
343  {
345 
346  // Shut up!
348  disable_doc_time();
349 
350  // Set parameters for use as preconditioner in for momentum
351  // block in Navier-Stokes problem
354 
355  // Use Hypre for momentum block
357  }
358 #endif
359 #endif
360  }
361 
362  }
363 
364  // Setup equation numbering scheme
365  cout << "Number of equations: " << assign_eqn_numbers() << std::endl;
366 
367 } // end_of_constructor
int i
Definition: BiCGSTAB_step_by_step.cpp:9
Array< double, 1, 3 > e(1./3., 0.5, 2.)
Preconditioner * P_matrix_preconditioner_pt
Inexact solver for P block.
Definition: linear_solvers/driven_cavity.cc:180
SimpleRectangularQuadMesh< ELEMENT > * mesh_pt()
Definition: linear_solvers/driven_cavity.cc:158
IterativeLinearSolver * Solver_pt
oomph-lib iterative linear solver
Definition: linear_solvers/driven_cavity.cc:174
Preconditioner * F_matrix_preconditioner_pt
Inexact solver for F block.
Definition: linear_solvers/driven_cavity.cc:183
void fix_pressure(const unsigned &e, const unsigned &pdof, const double &pvalue)
Fix pressure in element e at pressure dof pdof and set to pvalue.
Definition: linear_solvers/driven_cavity.cc:112
NavierStokesSchurComplementPreconditioner * Prec_pt
Preconditioner.
Definition: linear_solvers/driven_cavity.cc:177
Definition: general_purpose_block_preconditioners.h:321
The GMRES method.
Definition: iterative_linear_solver.h:1227
Definition: hypre_solver.h:826
Preconditioner *& preconditioner_pt()
Access function to preconditioner.
Definition: iterative_linear_solver.h:95
Definition: navier_stokes_preconditioners.h:607
void set_p_preconditioner(Preconditioner *new_p_preconditioner_pt)
Function to set a new pressure matrix preconditioner (inexact solver)
Definition: navier_stokes_preconditioners.h:745
void set_f_preconditioner(Preconditioner *new_f_preconditioner_pt)
Function to set a new momentum matrix preconditioner (inexact solver)
Definition: navier_stokes_preconditioners.h:769
void set_navier_stokes_mesh(Mesh *mesh_pt, const bool &allow_multiple_element_type_in_navier_stokes_mesh=false)
Definition: navier_stokes_preconditioners.h:732
LinearSolver *& linear_solver_pt()
Return a pointer to the linear solver object.
Definition: problem.h:1466
unsigned long assign_eqn_numbers(const bool &assign_local_eqn_numbers=true)
Definition: problem.cc:1989
Definition: simple_rectangular_quadmesh.template.h:58
double Re
Reynolds number.
Definition: fibre.cc:55
void set_defaults_for_navier_stokes_momentum_block(HyprePreconditioner *hypre_preconditioner_pt)
Definition: hypre_solver.cc:85
void set_defaults_for_2D_poisson_problem(HyprePreconditioner *hypre_preconditioner_pt)
Definition: hypre_solver.cc:45

References e(), i, Global_Physical_Variables::Re, oomph::Hypre_default_settings::set_defaults_for_2D_poisson_problem(), and oomph::Hypre_default_settings::set_defaults_for_navier_stokes_momentum_block().

◆ ~RectangularDrivenCavityProblem() [1/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::~RectangularDrivenCavityProblem
inline

Destructor.

Destructor for RectangularDrivenCavity problem.

93  {
94  // Kill oomph-lib iterative linear solver
95  if (Solver_pt!=0) delete Solver_pt;
96 
97  // Kill preconditioner
98  if (Prec_pt!=0) delete Prec_pt;
99 
100  // Kill inexact solver for P block
102 
103  // Kill inexact solver for F block
105 
106  // Kill mesh
107  delete mesh_pt();
108 
109  };

◆ RectangularDrivenCavityProblem() [2/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::RectangularDrivenCavityProblem

Constructor for RectangularDrivenCavity problem.

Constructor: Specify multiplier for number of element rows/columns and solver flag.

Constructor for RectangularDrivenCavity problem: Specify multiplier for number of element rows/columns and solver flag.

807 {
808  unsigned element_multiplier=1;
809  bool use_iterative_solver=true;
810  bool use_hypre_for_pressure=false;
811  bool use_hypre_for_momentum=false;
812  bool use_block_diagonal_for_momentum=false;
813 
814  // Initialise pointer to oomph-lib iterative linear solver
815  Solver_pt=0;
816 
817  // Initialise pointer to Preconditioner
818  Prec_pt=0;
819 
820  // Initialise pointer to inexact solver for P block
822 
823  // Initialise pointer to inexact solver for F block
825 
826 
827  // Setup mesh
828 
829  // # of elements in x-direction
830  unsigned n_x=10*element_multiplier;
831 
832  // # of elements in y-direction
833  unsigned n_y=10*element_multiplier;
834 
835  // Domain length in x-direction
836  double l_x=1.0;
837 
838  // Domain length in y-direction
839  double l_y=1.0;
840 
841  // Build and assign mesh
842  Problem::mesh_pt() = new SimpleRectangularQuadMesh<ELEMENT>(n_x,n_y,l_x,l_y);
843 
844  // Set the boundary conditions for this problem: All nodes are
845  // free by default -- just pin the ones that have Dirichlet conditions
846  // here.
847  unsigned num_bound = mesh_pt()->nboundary();
848  for(unsigned ibound=0;ibound<num_bound;ibound++)
849  {
850  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
851  for (unsigned inod=0;inod<num_nod;inod++)
852  {
853  // Loop over values (u and v velocities)
854  for (unsigned i=0;i<2;i++)
855  {
856  mesh_pt()->boundary_node_pt(ibound,inod)->pin(i);
857  }
858  }
859  } // end loop over boundaries
860 
861  // Complete the build of all elements so they are fully functional
862 
863  //Find number of elements in mesh
864  unsigned n_element = mesh_pt()->nelement();
865 
866  // Loop over the elements to set up element-specific
867  // things that cannot be handled by constructor
868  for(unsigned e=0;e<n_element;e++)
869  {
870  // Upcast from GeneralisedElement to the present element
871  ELEMENT* el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e));
872 
873  //Set the Reynolds number
874  el_pt->re_pt() = &Global_Physical_Variables::Re;
875  } // end loop over elements
876 
877  // Now set the first pressure value in element 0 to 0.0
878  fix_pressure(0,0,0.0);
879 
880 
881  // Setup iterative linear solver if required
882  if (use_iterative_solver)
883  {
884  // Create oomph-lib iterative linear solver
886 
887  // Set linear solver
889 
890  // Set preconditioner
893 
894 // Prec_pt->navier_stokes_mesh_pt() = this->mesh_pt();
896 
897 
898  // By default, the LSC Preconditioner uses SuperLU as
899  // an exact preconditioner (i.e. a solver) for the
900  // momentum and Schur complement blocks.
901  // Can overwrite this by passing pointers to
902  // other preconditioners that perform the (approximate)
903  // solves of these blocks.
904 
905  // Create internal preconditioners used on Schur block
906  //-----------------------------------------------------
907 #ifdef OOMPH_HAS_HYPRE
908 //Trap because HYPRE can't handle the case when
909 //OOMPH_HAS_MPI, but we run in serial
910 #ifndef OOMPH_HAS_MPI
911  if (use_hypre_for_pressure)
912  {
914 
915  // Set parameters for use as preconditioner on Poisson-type problem
918 
919  // Use Hypre for the Schur complement block
921 
922  // Shut up!
924  disable_doc_time();
925  }
926 #endif
927 #endif
928 
929  // Create internal preconditioners used on momentum block
930  //--------------------------------------------------------
931  if (use_block_diagonal_for_momentum)
932  {
935 #ifdef OOMPH_HAS_HYPRE
936 //Trap because HYPRE can't handle the case when
937 //OOMPH_HAS_MPI, but we run in serial
938 #ifndef OOMPH_HAS_MPI
939  if (use_hypre_for_momentum)
940  {
942  (F_matrix_preconditioner_pt)->set_subsidiary_preconditioner_function
943  (Hypre_Subsidiary_Preconditioner_Helper::set_hypre_preconditioner);
944  }
945 #endif
946 #endif
947  // Use Hypre for momentum block
949  }
950  else
951  {
952 #ifdef OOMPH_HAS_HYPRE
953 //Trap because HYPRE can't handle the case when
954 //OOMPH_HAS_MPI, but we run in serial
955 #ifndef OOMPH_HAS_MPI
956  if (use_hypre_for_momentum)
957  {
959 
960  // Shut up!
962  disable_doc_time();
963 
964  // Set parameters for use as preconditioner in for momentum
965  // block in Navier-Stokes problem
968 
969  // Use Hypre for momentum block
971  }
972 #endif
973 #endif
974  }
975 
976  }
977 
978  // Setup equation numbering scheme
979  cout << "Number of equations: " << assign_eqn_numbers() << std::endl;
980 
981 } // end_of_constructor

References e(), i, Global_Physical_Variables::Re, oomph::Hypre_default_settings::set_defaults_for_2D_poisson_problem(), and oomph::Hypre_default_settings::set_defaults_for_navier_stokes_momentum_block().

◆ ~RectangularDrivenCavityProblem() [2/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::~RectangularDrivenCavityProblem ( )
inline

Destructor.

705  {
706  // Kill oomph-lib iterative linear solver
707  if (Solver_pt!=0) delete Solver_pt;
708 
709  // Kill preconditioner
710  if (Prec_pt!=0) delete Prec_pt;
711 
712  // Kill inexact solver for P block
714 
715  // Kill inexact solver for F block
717 
718  // Kill mesh
719  delete mesh_pt();
720 
721  };

◆ RectangularDrivenCavityProblem() [3/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::RectangularDrivenCavityProblem ( const unsigned &  element_multiplier,
const bool &  use_iterative_solver,
const bool &  use_hypre_for_pressure,
const bool &  use_hypre_for_momentum,
const bool &  use_block_diagonal_for_momentum 
)

Constructor: Specify multiplier for number of element rows/columns and solver flag.

◆ ~RectangularDrivenCavityProblem() [3/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::~RectangularDrivenCavityProblem ( )
inline

Destructor.

97  {
98  // Kill oomph-lib iterative linear solver
99  if (Solver_pt!=0) delete Solver_pt;
100 
101  // Kill preconditioner
102  if (Prec_pt!=0) delete Prec_pt;
103 
104  // Kill inexact solver for P block
106 
107  // Kill inexact solver for F block
109 
110  // Kill mesh
111  delete mesh_pt();
112 
113  };

◆ RectangularDrivenCavityProblem() [4/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::RectangularDrivenCavityProblem ( )

Constructor.

◆ ~RectangularDrivenCavityProblem() [4/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::~RectangularDrivenCavityProblem ( )
inline

Destructor (empty)

73 {}

◆ RectangularDrivenCavityProblem() [5/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::RectangularDrivenCavityProblem ( )

Constructor.

◆ ~RectangularDrivenCavityProblem() [5/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::~RectangularDrivenCavityProblem ( )
inline

Destructor (empty)

769 {}

◆ RectangularDrivenCavityProblem() [6/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::RectangularDrivenCavityProblem ( )

Constructor.

◆ ~RectangularDrivenCavityProblem() [6/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::~RectangularDrivenCavityProblem ( )
inline

Destructor (empty)

92  {
93  delete Problem::mesh_pt();
94  }

◆ RectangularDrivenCavityProblem() [7/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::RectangularDrivenCavityProblem ( )

Constructor.

◆ ~RectangularDrivenCavityProblem() [7/7]

template<class ELEMENT >
RectangularDrivenCavityProblem< ELEMENT >::~RectangularDrivenCavityProblem ( )

Destructor to clean up memory.

Member Function Documentation

◆ actions_after_adapt()

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_after_adapt ( )
inlinevirtual

Actions that are to be performed after a mesh adaptation.

Reimplemented from oomph::Problem.

178  {
180  unpin_all_pressure_dofs(mesh_pt()->element_pt());
182  pin_redundant_nodal_pressures(mesh_pt()->element_pt());
183  }
Definition: refineable_navier_stokes_elements.h:322

◆ actions_after_distribute()

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_after_distribute ( )
inline
189 {}

◆ actions_after_newton_solve() [1/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the after solve (empty)

Reimplemented from oomph::Problem.

122 {}

◆ actions_after_newton_solve() [2/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the after solve (empty)

Reimplemented from oomph::Problem.

734 {}

◆ actions_after_newton_solve() [3/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the after solve (empty)

Reimplemented from oomph::Problem.

126 {}

◆ actions_after_newton_solve() [4/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the after solve (empty)

Reimplemented from oomph::Problem.

86 {}

◆ actions_after_newton_solve() [5/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the after solve (empty)

Reimplemented from oomph::Problem.

782 {}

◆ actions_after_newton_solve() [6/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the after solve (empty)

Reimplemented from oomph::Problem.

117 {}

◆ actions_after_newton_solve() [7/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_after_newton_solve ( )
inlinevirtual

Update the after solve (empty)

Reimplemented from oomph::Problem.

93 {}

◆ actions_before_adapt()

template<class ELEMENT >
void RectangularDrivenCavityProblem< 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.

175 {}

◆ actions_before_distribute()

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_before_distribute ( )
inline
186 {}

◆ actions_before_newton_solve() [1/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_before_newton_solve ( )
inlinevirtual

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

Reimplemented from oomph::Problem.

128  {
129  // Setup tangential flow along boundary 0:
130  unsigned ibound=0;
131  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
132  for (unsigned inod=0;inod<num_nod;inod++)
133  {
134  // Tangential flow
135  unsigned i=0;
136  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,1.0);
137  // No penetration
138  i=1;
139  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
140  }
141 
142  // Overwrite with no flow along the other boundaries
143  unsigned num_bound = mesh_pt()->nboundary();
144  for(unsigned ibound=1;ibound<num_bound;ibound++)
145  {
146  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
147  for (unsigned inod=0;inod<num_nod;inod++)
148  {
149  for (unsigned i=0;i<2;i++)
150  {
151  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
152  }
153  }
154  }
155  } // end_of_actions_before_newton_solve

References i.

Referenced by main().

◆ actions_before_newton_solve() [2/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_before_newton_solve ( )
inlinevirtual

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

Reimplemented from oomph::Problem.

740  {
741  // Setup tangential flow along boundary 0:
742  unsigned ibound=0;
743  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
744  for (unsigned inod=0;inod<num_nod;inod++)
745  {
746  // Tangential flow
747  unsigned i=0;
748  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,1.0);
749  // No penetration
750  i=1;
751  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
752  }
753 
754  // Overwrite with no flow along the other boundaries
755  unsigned num_bound = mesh_pt()->nboundary();
756  for(unsigned ibound=1;ibound<num_bound;ibound++)
757  {
758  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
759  for (unsigned inod=0;inod<num_nod;inod++)
760  {
761  for (unsigned i=0;i<2;i++)
762  {
763  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
764  }
765  }
766  }
767  } // end_of_actions_before_newton_solve

References i.

◆ actions_before_newton_solve() [3/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_before_newton_solve ( )
inlinevirtual

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

Reimplemented from oomph::Problem.

132  {
133  // Setup tangential flow along boundary 0:
134  unsigned ibound=0;
135  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
136  for (unsigned inod=0;inod<num_nod;inod++)
137  {
138  // Tangential flow
139  unsigned i=0;
140  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,1.0);
141  // No penetration
142  i=1;
143  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
144  }
145 
146  // Overwrite with no flow along the other boundaries
147  unsigned num_bound = mesh_pt()->nboundary();
148  for(unsigned ibound=1;ibound<num_bound;ibound++)
149  {
150  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
151  for (unsigned inod=0;inod<num_nod;inod++)
152  {
153  for (unsigned i=0;i<2;i++)
154  {
155  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
156  }
157  }
158  }
159  } // end_of_actions_before_newton_solve

References i.

◆ actions_before_newton_solve() [4/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_before_newton_solve ( )
inlinevirtual

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

Reimplemented from oomph::Problem.

92  {
93  // Setup tangential flow along boundary 0:
94  unsigned ibound=0;
95  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
96  for (unsigned inod=0;inod<num_nod;inod++)
97  {
98  // Tangential flow
99  unsigned i=0;
100  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,1.0);
101  // No penetration
102  i=1;
103  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
104  }
105 
106  // Overwrite with no flow along the other boundaries
107  unsigned num_bound = mesh_pt()->nboundary();
108  for(unsigned ibound=1;ibound<num_bound;ibound++)
109  {
110  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
111  for (unsigned inod=0;inod<num_nod;inod++)
112  {
113  for (unsigned i=0;i<2;i++)
114  {
115  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
116  }
117  }
118  }
119  } // end_of_actions_before_newton_solve

References i.

◆ actions_before_newton_solve() [5/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_before_newton_solve ( )
inlinevirtual

Update the before solve (empty)

Reimplemented from oomph::Problem.

785 {}

◆ actions_before_newton_solve() [6/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_before_newton_solve ( )
inlinevirtual

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

Reimplemented from oomph::Problem.

123  {
124  // Setup tangential flow along boundary 0:
125  unsigned ibound=0;
126  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
127  for (unsigned inod=0;inod<num_nod;inod++)
128  {
129  // Tangential flow
130  unsigned i=0;
131  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,1.0);
132  // No penetration
133  i=1;
134  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
135  }
136 
137  // Overwrite with no flow along the other boundaries
138  unsigned num_bound = mesh_pt()->nboundary();
139  for(unsigned ibound=1;ibound<num_bound;ibound++)
140  {
141  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
142  for (unsigned inod=0;inod<num_nod;inod++)
143  {
144  for (unsigned i=0;i<2;i++)
145  {
146  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
147  }
148  }
149  }
150  } // end_of_actions_before_newton_solve

References i.

◆ actions_before_newton_solve() [7/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_before_newton_solve ( )
inlinevirtual

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

Reimplemented from oomph::Problem.

98  {
99  // Setup tangential flow along boundary 0:
100  unsigned ibound=0;
101  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
102  for (unsigned inod=0;inod<num_nod;inod++)
103  {
104  // Tangential flow
105  unsigned i=0;
106  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,1.0);
107  // No penetration
108  i=1;
109  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
110  }
111 
112  // Overwrite with no flow along the other boundaries
113  unsigned num_bound = mesh_pt()->nboundary();
114  for(unsigned ibound=1;ibound<num_bound;ibound++)
115  {
116  unsigned num_nod= mesh_pt()->nboundary_node(ibound);
117  for (unsigned inod=0;inod<num_nod;inod++)
118  {
119  for (unsigned i=0;i<2;i++)
120  {
121  mesh_pt()->boundary_node_pt(ibound,inod)->set_value(i,0.0);
122  }
123  }
124  }
125  } // end_of_actions_before_newton_solve

References i.

◆ actions_before_newton_step()

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::actions_before_newton_step ( )
inlinevirtual

Any actions that are to be performed before each individual Newton step. Most likely to be used for diagnostic purposes to doc the solution during a non-converging iteration, say.

Reimplemented from oomph::Problem.

792  {
793  // CRDoubleMatrix jac;
794  // DoubleVector res;
795  // get_jacobian(res,jac);
796  // jac.sparse_indexed_output("jac.dat");
797 
798  // unsigned n_dof=ndof();
799  // DenseDoubleMatrix fd_jac(n_dof);
800  // get_fd_jacobian(res,fd_jac);
801  // fd_jac.sparse_indexed_output("fd_jac.dat");
802  // pause("done");
803  }

◆ compare_assembly_strategies()

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::compare_assembly_strategies ( const unsigned &  method)

Do what it says...

Compare assembly strategies.

Dump matrix?

268 {
269 
270  // Halt code execution?
271  Problem::Pause_at_end_of_sparse_assembly=Global_Variables::Halt_code;
272 
273  DoubleVector residual;
275 
276  Vector<int*> col_index(1);
277  Vector<int* > row_start(1);
279  Vector<unsigned> nnz(1);
280  Vector<double* > residuals(1);
281  bool compressed_row = true;
282 
283  clock_t clock1 = clock();
284 // time_t time1 = std::time(0);
285 
286  switch(method)
287  {
288  case 1:
289 
290  Problem::Sparse_assembly_method=
291  Problem::Perform_assembly_using_vectors_of_pairs;
292 
293  std::cout << std::endl << "Oomph vector of pairs"
294  << std::endl << std::endl;
295  break;
296 
297 
298  case 2:
299 
300  Problem::Sparse_assembly_method=
301  Problem::Perform_assembly_using_two_vectors;
302 
303 
304  std::cout << std::endl << "Oomph two vectors"
305  << std::endl << std::endl;
306  break;
307 
308  case 3:
309 
310  Problem::Sparse_assembly_method=
311  Problem::Perform_assembly_using_maps;
312 
313 
314  std::cout << std::endl << "Oomph maps"
315  << std::endl << std::endl;
316  break;
317 
318 
319  case 4:
320 
321  Problem::Sparse_assembly_method=
322  Problem::Perform_assembly_using_lists;
323 
324 
325  std::cout << std::endl << "Oomph lists"
326  << std::endl << std::endl;
327 
328  break;
329 
330 
331  case 5:
332 
333  Problem::Sparse_assembly_method=
334  Problem::Perform_assembly_using_two_arrays;
335 
336 
337  std::cout << std::endl << "Oomph arrays"
338  << std::endl << std::endl;
339 
340  break;
341 
342  default:
343 
344  std::cout << "Never get here" << std::endl;
345  exit(1);
346 
347  }
348 
349  // Call assembly routine
351  row_start,
352  value,
353  nnz,
354  residuals,
355  compressed_row);
356 
357  clock_t clock2 = clock();
358  //time_t time2 = time(0);
359 
360  cout <<"CPU time for "
361  << Global_Variables::Nx << " x "
362  << Global_Variables::Ny << " mesh; assembly with method "
363  << method << ": "
364  << double(clock2-clock1)/CLOCKS_PER_SEC << "s" << endl;
365 
366 // cout << "Wall time for method " << method << ": "
367 // << difftime(time2, time1) << "s" << endl;
368 
369 //Read out the dimension of the matrix
370  unsigned long n = ndof();
371  LinearAlgebraDistribution dist(this->communicator_pt(),n,false);
372  matrix.build(&dist);
373  matrix.build_without_copy(n,nnz[0],value[0],col_index[0],row_start[0]);
374 
377  {
378  ofstream matrix_file;
379  char filename[100];
380  sprintf(filename,"matrix%i.dat",method);
381  matrix_file.open(filename);
382  matrix.sparse_indexed_output(matrix_file);
383  matrix_file.close();
384  }
385 
386  // clean up
387  delete[] residuals[0];
388 }
const unsigned n
Definition: CG3DPackingUnitTest.cpp:11
Definition: matrices.h:888
Definition: double_vector.h:58
Definition: linear_algebra_distribution.h:64
unsigned long ndof() const
Return the number of dofs.
Definition: problem.h:1674
OomphCommunicator * communicator_pt()
access function to the oomph-lib communicator
Definition: problem.h:1246
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)
Definition: problem.cc:4484
Definition: oomph-lib/src/generic/Vector.h:58
Eigen::Map< Eigen::Matrix< T, Eigen::Dynamic, Eigen::Dynamic, Eigen::ColMajor >, 0, Eigen::OuterStride<> > matrix(T *data, int rows, int cols, int stride)
Definition: common.h:85
squared absolute value
Definition: GlobalFunctions.h:87
unsigned Nx
Number of elements in x direction.
Definition: sparse_assemble_test.cc:55
unsigned Ny
Number of elements in x direction.
Definition: sparse_assemble_test.cc:58
bool Halt_code
Definition: sparse_assemble_test.cc:65
bool Dump_matrices
By default we're dumping the matrices for comparison.
Definition: sparse_assemble_test.cc:61
string filename
Definition: MergeRestartFiles.py:39

References Global_Variables::Dump_matrices, MergeRestartFiles::filename, Global_Variables::Halt_code, matrix(), n, Global_Variables::Nx, Global_Variables::Ny, and Eigen::value.

◆ doc_solution() [1/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::doc_solution ( DocInfo &  doc_info)

Doc the solution.

377 {
378  ofstream some_file;
379  char filename[100];
380 
381  // Number of plot points
382  unsigned npts;
383  npts=5;
384 
385  // Output solution
386  sprintf(filename,"%s/soln%i.dat",doc_info.directory().c_str(),
387  doc_info.number());
388  some_file.open(filename);
389  mesh_pt()->output(some_file,npts);
390  some_file.close();
391 } // end_of_doc_solution
std::string directory() const
Output directory.
Definition: oomph_utilities.h:524
unsigned & number()
Number used (e.g.) for labeling output files.
Definition: oomph_utilities.h:554

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

◆ doc_solution() [2/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::doc_solution ( DocInfo &  doc_info)

Doc the solution.

◆ doc_solution() [3/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::doc_solution ( DocInfo &  doc_info)

Doc the solution.

◆ doc_solution() [4/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::doc_solution ( DocInfo &  doc_info)

Doc the solution.

◆ doc_solution() [5/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::doc_solution ( DocInfo &  doc_info)

Doc the solution.

◆ doc_solution() [6/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::doc_solution ( DocInfo &  doc_info)

Doc the solution.

◆ doc_solution() [7/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::doc_solution ( DocInfo &  doc_info)

Doc the solution.

◆ fix_pressure() [1/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::fix_pressure ( const unsigned &  e,
const unsigned &  pdof,
const double &  pvalue 
)
inline

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

114  {
115  //Cast to full element type and fix the pressure at that element
116  dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e))->
117  fix_pressure(pdof,pvalue);
118  } // end of fix_pressure

References e().

◆ fix_pressure() [2/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::fix_pressure ( const unsigned &  e,
const unsigned &  pdof,
const double &  pvalue 
)
inline

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

726  {
727  //Cast to full element type and fix the pressure at that element
728  dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e))->
729  fix_pressure(pdof,pvalue);
730  } // end of fix_pressure

References e().

◆ fix_pressure() [3/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::fix_pressure ( const unsigned &  e,
const unsigned &  pdof,
const double &  pvalue 
)
inline

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

118  {
119  //Cast to full element type and fix the pressure at that element
120  dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e))->
121  fix_pressure(pdof,pvalue);
122  } // end of fix_pressure

References e().

◆ fix_pressure() [4/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::fix_pressure ( const unsigned &  e,
const unsigned &  pdof,
const double &  pvalue 
)
inline

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

78  {
79  //Cast to full element type and fix the pressure at that element
80  dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e))->
81  fix_pressure(pdof,pvalue);
82  } // end of fix_pressure

References e().

◆ fix_pressure() [5/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::fix_pressure ( const unsigned &  e,
const unsigned &  pdof,
const double &  pvalue 
)
inline

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

774  {
775  //Cast to full element type and fix the pressure at that element
776  dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e))->
777  fix_pressure(pdof,pvalue);
778  } // end of fix_pressure

References e().

◆ fix_pressure() [6/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::fix_pressure ( const unsigned &  e,
const unsigned &  pdof,
const double &  pvalue 
)
inline

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

109  {
110  //Cast to full element type and fix the pressure at that element
111  dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e))->
112  fix_pressure(pdof,pvalue);
113  } // end of fix_pressure

References e().

◆ fix_pressure() [7/7]

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::fix_pressure ( const unsigned &  e,
const unsigned &  pdof,
const double &  pvalue 
)
inline

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

86  {
87  //Cast to full element type and fix the pressure at that element
88  dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(e))->
89  fix_pressure(pdof,pvalue);
90  } // end of fix_pressure

References e().

◆ mesh_pt() [1/6]

template<class ELEMENT >
SimpleRectangularQuadMesh<ELEMENT>* RectangularDrivenCavityProblem< ELEMENT >::mesh_pt ( )
inline
159  {
160  // Upcast from pointer to the Mesh base class to the specific
161  // element type that we're using here.
162  return dynamic_cast<SimpleRectangularQuadMesh<ELEMENT>*>(
163  Problem::mesh_pt());
164  }

◆ mesh_pt() [2/6]

template<class ELEMENT >
SimpleRectangularQuadMesh<ELEMENT>* RectangularDrivenCavityProblem< ELEMENT >::mesh_pt ( )
inline
771  {
772  // Upcast from pointer to the Mesh base class to the specific
773  // element type that we're using here.
774  return dynamic_cast<SimpleRectangularQuadMesh<ELEMENT>*>(
775  Problem::mesh_pt());
776  }

◆ mesh_pt() [3/6]

template<class ELEMENT >
SimpleRectangularQuadMesh<ELEMENT>* RectangularDrivenCavityProblem< ELEMENT >::mesh_pt ( )
inline
163  {
164  // Upcast from pointer to the Mesh base class to the specific
165  // element type that we're using here.
166  return dynamic_cast<SimpleRectangularQuadMesh<ELEMENT>*>(
167  Problem::mesh_pt());
168  }

◆ mesh_pt() [4/6]

template<class ELEMENT >
SimpleRectangularQuadMesh<ELEMENT>* RectangularDrivenCavityProblem< ELEMENT >::mesh_pt ( )
inline
123  {
124  // Upcast from pointer to the Mesh base class to the specific
125  // element type that we're using here.
126  return dynamic_cast<SimpleRectangularQuadMesh<ELEMENT>*>(
127  Problem::mesh_pt());
128  }

◆ mesh_pt() [5/6]

template<class ELEMENT >
SimpleRectangularQuadMesh<ELEMENT>* RectangularDrivenCavityProblem< ELEMENT >::mesh_pt ( )
inline
154  {
155  // Upcast from pointer to the Mesh base class to the specific
156  // element type that we're using here.
157  return dynamic_cast<SimpleRectangularQuadMesh<ELEMENT>*>(
158  Problem::mesh_pt());
159  }

◆ mesh_pt() [6/6]

template<class ELEMENT >
SimpleRectangularQuadMesh<ELEMENT>* RectangularDrivenCavityProblem< ELEMENT >::mesh_pt ( )
inline
129  {
130  // Upcast from pointer to the Mesh base class to the specific
131  // element type that we're using here.
132  return dynamic_cast<SimpleRectangularQuadMesh<ELEMENT>*>(
133  Problem::mesh_pt());
134  }

◆ setup_line_plot_points()

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::setup_line_plot_points ( )
inline

Build line plot points.

807  {
808  // Get geom object
810 
811  // Number of radial lines
812  unsigned n_phi=5;
813  Line_plot_point.resize(n_phi);
814 
815  // How many points to you want?
816  unsigned npt=100;
817  double r_max=0.1;
818  Vector<double> zeta(2);
819  Vector<double> s(2);
820  GeomObject* geom_object_pt=0;
821  for (unsigned i=0;i<n_phi;i++)
822  {
823  Line_plot_point[i].resize(npt);
824  double phi=0.5*MathematicalConstants::Pi*double(i)/double(n_phi-1);
825  oomph_info << "setup at phi : " << phi/(0.5*MathematicalConstants::Pi)
826  << " pi/2" << std::endl;
827  for (unsigned j=0;j<npt;j++)
828  {
829  double r=r_max*double(j+1)/double(npt);
830  zeta[0]=r*cos(phi);
831  zeta[1]=r*sin(phi);
832  Mesh_as_geom_object_pt->locate_zeta(zeta,geom_object_pt,s);
833  if (geom_object_pt==0)
834  {
835  oomph_info << "Point : "
836  << zeta[0] << " "
837  << zeta[1] << " "
838  << " not found in setup of line plots"
839  << std::endl;
840  }
841  Line_plot_point[i][j]=std::make_pair(geom_object_pt,s);
842  }
843  }
844  }
AnnoyingScalar cos(const AnnoyingScalar &x)
Definition: AnnoyingScalar.h:136
AnnoyingScalar sin(const AnnoyingScalar &x)
Definition: AnnoyingScalar.h:137
MeshAsGeomObject * Mesh_as_geom_object_pt
Mesh as geom object representation of mesh.
Definition: navier_stokes/navier_stokes_with_singularity/driven_cavity.cc:864
Vector< Vector< std::pair< GeomObject *, Vector< double > > > > Line_plot_point
Line_plot_point[i_phi][i_rho].
Definition: navier_stokes/navier_stokes_with_singularity/driven_cavity.cc:867
Mesh * Navier_stokes_mesh_pt
Pointer to mesh with Poisson elements.
Definition: navier_stokes/navier_stokes_with_singularity/driven_cavity.cc:861
Definition: geom_objects.h:101
Definition: mesh_as_geometric_object.h:93
void locate_zeta(const Vector< double > &zeta, GeomObject *&sub_geom_object_pt, Vector< double > &s, const bool &use_coordinate_as_initial_guess=false)
Definition: mesh_as_geometric_object.h:373
RealScalar s
Definition: level1_cplx_impl.h:130
double r_max
Definition: two_d_biharmonic.cc:238
double Pi
Definition: two_d_biharmonic.cc:235
EIGEN_STRONG_INLINE const Eigen::CwiseBinaryOp< Eigen::internal::scalar_zeta_op< typename DerivedX::Scalar >, const DerivedX, const DerivedQ > zeta(const Eigen::ArrayBase< DerivedX > &x, const Eigen::ArrayBase< DerivedQ > &q)
Definition: SpecialFunctionsArrayAPI.h:152
r
Definition: UniformPSDSelfTest.py:20
OomphInfo oomph_info
Definition: oomph_definitions.cc:319
std::ptrdiff_t j
Definition: tut_arithmetic_redux_minmax.cpp:2

References cos(), i, j, oomph::oomph_info, BiharmonicTestFunctions2::Pi, UniformPSDSelfTest::r, BiharmonicTestFunctions2::r_max, s, sin(), and Eigen::zeta().

◆ sparse_assemble_row_or_column_compressed_test()

template<class ELEMENT >
void RectangularDrivenCavityProblem< ELEMENT >::sparse_assemble_row_or_column_compressed_test ( Vector< Vector< int > > &  column_or_row_index,
Vector< Vector< int > > &  row_or_column_start,
Vector< Vector< double > > &  value,
Vector< Vector< double > * > &  residuals,
bool  compressed_row_flag,
unsigned  method = 1 
)

To be killed.

Member Data Documentation

◆ F_matrix_preconditioner_pt

template<class ELEMENT >
Preconditioner * RectangularDrivenCavityProblem< ELEMENT >::F_matrix_preconditioner_pt
private

Inexact solver for F block.

◆ Line_plot_point

template<class ELEMENT >
Vector<Vector<std::pair<GeomObject*,Vector<double> > > > RectangularDrivenCavityProblem< ELEMENT >::Line_plot_point
private

Line_plot_point[i_phi][i_rho].

◆ Mesh_as_geom_object_pt

template<class ELEMENT >
MeshAsGeomObject* RectangularDrivenCavityProblem< ELEMENT >::Mesh_as_geom_object_pt
private

Mesh as geom object representation of mesh.

◆ Navier_stokes_mesh_pt

template<class ELEMENT >
Mesh* RectangularDrivenCavityProblem< ELEMENT >::Navier_stokes_mesh_pt
private

Pointer to mesh with Poisson elements.

◆ P_matrix_preconditioner_pt

template<class ELEMENT >
Preconditioner * RectangularDrivenCavityProblem< ELEMENT >::P_matrix_preconditioner_pt
private

Inexact solver for P block.

◆ Prec_pt

template<class ELEMENT >
NavierStokesSchurComplementPreconditioner * RectangularDrivenCavityProblem< ELEMENT >::Prec_pt
private

Preconditioner.

◆ Singular_navier_stokes_solution1_element_pt

template<class ELEMENT >
SingularNavierStokesSolutionElement<ELEMENT>* RectangularDrivenCavityProblem< ELEMENT >::Singular_navier_stokes_solution1_element_pt
private

Pointer to the element defining the unknown C1 (Note: eqn element is templated by the wrapped element!)

◆ Singular_navier_stokes_solution2_element_pt

template<class ELEMENT >
SingularNavierStokesSolutionElement<ELEMENT>* RectangularDrivenCavityProblem< ELEMENT >::Singular_navier_stokes_solution2_element_pt
private

Pointer to the element defining the unknown C2 (Note: eqn element is templated by the wrapped element!)

◆ Singular_navier_stokes_solution_mesh_pt

template<class ELEMENT >
Mesh* RectangularDrivenCavityProblem< ELEMENT >::Singular_navier_stokes_solution_mesh_pt
private

Pointer to the C mesh associated with the elements defining the unknowns C1 and C2

◆ Solver_pt

template<class ELEMENT >
IterativeLinearSolver * RectangularDrivenCavityProblem< ELEMENT >::Solver_pt
private

oomph-lib iterative linear solver


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