LinearWave problem in rectanglular domain. More...

Inheritance diagram for LinearWaveProblem< ELEMENT, TIMESTEPPER >:

Public Member Functions
	LinearWaveProblem (const unsigned &nx, const unsigned &ny, const bool &impulsive_start, LinearWaveEquations< 2 >::LinearWaveSourceFctPt source_fct_pt)
	Constructor for LinearWave problem. More...

	~LinearWaveProblem ()
	Destructor (empty) More...

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

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

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

void	actions_before_implicit_timestep ()

void	set_initial_condition ()
	Set initial condition (incl history values) More...

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

void	unsteady_run ()
	Do unsteady run. More...

	LinearWaveProblem (const unsigned &nx, const unsigned &ny, LinearWaveEquations< 2 >::LinearWaveSourceFctPt source_fct_pt)
	Constructor for LinearWave problem. More...

	~LinearWaveProblem ()
	Destructor (empty) More...

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

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

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

void	actions_before_implicit_timestep ()

void	set_initial_condition ()

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

void	unsteady_run ()
	Do unsteady run. More...

	LinearWaveProblem (const unsigned &nx, const unsigned &ny, const bool &impulsive_start, LinearWaveEquations< 2 >::LinearWaveSourceFctPt source_fct_pt)

	~LinearWaveProblem ()
	Destructor (empty) More...

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

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

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

void	actions_before_implicit_timestep ()

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

void	set_initial_condition ()
	Set initial condition (incl history values) More...

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

void	unsteady_run ()
	Do unsteady run. More...

Public Member Functions inherited from oomph::Problem
virtual void	debug_hook_fct (const unsigned &i)

void	set_analytic_dparameter (double *const &parameter_pt)

void	unset_analytic_dparameter (double *const &parameter_pt)

bool	is_dparameter_calculated_analytically (double *const &parameter_pt)

void	set_analytic_hessian_products ()

void	unset_analytic_hessian_products ()

bool	are_hessian_products_calculated_analytically ()

void	set_pinned_values_to_zero ()

bool	distributed () const

virtual void	actions_before_adapt ()

virtual void	actions_after_adapt ()
	Actions that are to be performed after a mesh adaptation. More...

OomphCommunicator *	communicator_pt ()
	access function to the oomph-lib communicator More...

const OomphCommunicator *	communicator_pt () const
	access function to the oomph-lib communicator, const version More...

	Problem ()

	Problem (const Problem &dummy)=delete
	Broken copy constructor. More...

void	operator= (const Problem &)=delete
	Broken assignment operator. More...

virtual	~Problem ()
	Virtual destructor to clean up memory. More...

Mesh *&	mesh_pt ()
	Return a pointer to the global mesh. More...

Mesh *const &	mesh_pt () const
	Return a pointer to the global mesh (const version) More...

Mesh *&	mesh_pt (const unsigned &imesh)

Mesh *const &	mesh_pt (const unsigned &imesh) const
	Return a pointer to the i-th submesh (const version) More...

unsigned	nsub_mesh () const
	Return number of submeshes. More...

unsigned	add_sub_mesh (Mesh *const &mesh_pt)

void	flush_sub_meshes ()

void	build_global_mesh ()

void	rebuild_global_mesh ()

LinearSolver *&	linear_solver_pt ()
	Return a pointer to the linear solver object. More...

LinearSolver *const &	linear_solver_pt () const
	Return a pointer to the linear solver object (const version) More...

LinearSolver *&	mass_matrix_solver_for_explicit_timestepper_pt ()

LinearSolver *	mass_matrix_solver_for_explicit_timestepper_pt () const

EigenSolver *&	eigen_solver_pt ()
	Return a pointer to the eigen solver object. More...

EigenSolver *const &	eigen_solver_pt () const
	Return a pointer to the eigen solver object (const version) More...

Time *&	time_pt ()
	Return a pointer to the global time object. More...

Time *	time_pt () const
	Return a pointer to the global time object (const version). More...

double &	time ()
	Return the current value of continuous time. More...

double	time () const
	Return the current value of continuous time (const version) More...

TimeStepper *&	time_stepper_pt ()

const TimeStepper *	time_stepper_pt () const

TimeStepper *&	time_stepper_pt (const unsigned &i)
	Return a pointer to the i-th timestepper. More...

ExplicitTimeStepper *&	explicit_time_stepper_pt ()
	Return a pointer to the explicit timestepper. More...

unsigned long	set_timestepper_for_all_data (TimeStepper *const &time_stepper_pt, const bool &preserve_existing_data=false)

virtual void	shift_time_values ()
	Shift all values along to prepare for next timestep. More...

AssemblyHandler *&	assembly_handler_pt ()
	Return a pointer to the assembly handler object. More...

AssemblyHandler *const &	assembly_handler_pt () const
	Return a pointer to the assembly handler object (const version) More...

double &	minimum_dt ()
	Access function to min timestep in adaptive timestepping. More...

double &	maximum_dt ()
	Access function to max timestep in adaptive timestepping. More...

unsigned &	max_newton_iterations ()
	Access function to max Newton iterations before giving up. More...

void	problem_is_nonlinear (const bool &prob_lin)
	Access function to Problem_is_nonlinear. More...

double &	max_residuals ()

bool &	time_adaptive_newton_crash_on_solve_fail ()
	Access function for Time_adaptive_newton_crash_on_solve_fail. More...

double &	newton_solver_tolerance ()

void	add_time_stepper_pt (TimeStepper *const &time_stepper_pt)

void	set_explicit_time_stepper_pt (ExplicitTimeStepper *const &explicit_time_stepper_pt)

void	initialise_dt (const double &dt)

void	initialise_dt (const Vector< double > &dt)

Data *&	global_data_pt (const unsigned &i)
	Return a pointer to the the i-th global data object. More...

void	add_global_data (Data *const &global_data_pt)

void	flush_global_data ()

LinearAlgebraDistribution *const &	dof_distribution_pt () const
	Return the pointer to the dof distribution (read-only) More...

unsigned long	ndof () const
	Return the number of dofs. More...

unsigned	ntime_stepper () const
	Return the number of time steppers. More...

unsigned	nglobal_data () const
	Return the number of global data values. More...

unsigned	self_test ()
	Self-test: Check meshes and global data. Return 0 for OK. More...

void	enable_store_local_dof_pt_in_elements ()

void	disable_store_local_dof_pt_in_elements ()

unsigned long	assign_eqn_numbers (const bool &assign_local_eqn_numbers=true)

void	describe_dofs (std::ostream &out= *(oomph_info.stream_pt())) const

void	enable_discontinuous_formulation ()

void	disable_discontinuous_formulation ()

void	get_dofs (DoubleVector &dofs) const

void	get_dofs (const unsigned &t, DoubleVector &dofs) const
	Return vector of the t'th history value of all dofs. More...

void	set_dofs (const DoubleVector &dofs)
	Set the values of the dofs. More...

void	set_dofs (const unsigned &t, DoubleVector &dofs)
	Set the history values of the dofs. More...

void	set_dofs (const unsigned &t, Vector< double * > &dof_pt)

void	add_to_dofs (const double &lambda, const DoubleVector &increment_dofs)
	Add lambda x incremenet_dofs[l] to the l-th dof. More...

double *	global_dof_pt (const unsigned &i)

double &	dof (const unsigned &i)
	i-th dof in the problem More...

double	dof (const unsigned &i) const
	i-th dof in the problem (const version) More...

double *&	dof_pt (const unsigned &i)
	Pointer to i-th dof in the problem. More...

double *	dof_pt (const unsigned &i) const
	Pointer to i-th dof in the problem (const version) More...

virtual void	get_inverse_mass_matrix_times_residuals (DoubleVector &Mres)

virtual void	get_dvaluesdt (DoubleVector &f)

virtual void	get_residuals (DoubleVector &residuals)
	Get the total residuals Vector for the problem. More...

virtual void	get_jacobian (DoubleVector &residuals, DenseDoubleMatrix &jacobian)

virtual void	get_jacobian (DoubleVector &residuals, CRDoubleMatrix &jacobian)

virtual void	get_jacobian (DoubleVector &residuals, CCDoubleMatrix &jacobian)

virtual void	get_jacobian (DoubleVector &residuals, SumOfMatrices &jacobian)

void	get_fd_jacobian (DoubleVector &residuals, DenseMatrix< double > &jacobian)
	Get the full Jacobian by finite differencing. More...

void	get_derivative_wrt_global_parameter (double *const &parameter_pt, DoubleVector &result)

void	get_hessian_vector_products (DoubleVectorWithHaloEntries const &Y, Vector< DoubleVectorWithHaloEntries > const &C, Vector< DoubleVectorWithHaloEntries > &product)

void	solve_eigenproblem (const unsigned &n_eval, Vector< std::complex< double >> &eigenvalue, Vector< DoubleVector > &eigenvector, const bool &steady=true)
	Solve the eigenproblem. More...

void	solve_eigenproblem (const unsigned &n_eval, Vector< std::complex< double >> &eigenvalue, const bool &steady=true)

virtual void	get_eigenproblem_matrices (CRDoubleMatrix &mass_matrix, CRDoubleMatrix &main_matrix, const double &shift=0.0)

void	assign_eigenvector_to_dofs (DoubleVector &eigenvector)
	Assign the eigenvector passed to the function to the dofs. More...

void	add_eigenvector_to_dofs (const double &epsilon, const DoubleVector &eigenvector)

void	store_current_dof_values ()
	Store the current values of the degrees of freedom. More...

void	restore_dof_values ()
	Restore the stored values of the degrees of freedom. More...

void	enable_jacobian_reuse ()

void	disable_jacobian_reuse ()
	Disable recycling of Jacobian in Newton iteration. More...

bool	jacobian_reuse_is_enabled ()
	Is recycling of Jacobian in Newton iteration enabled? More...

bool &	use_predictor_values_as_initial_guess ()

void	newton_solve ()
	Use Newton method to solve the problem. More...

void	enable_globally_convergent_newton_method ()
	enable globally convergent Newton method More...

void	disable_globally_convergent_newton_method ()
	disable globally convergent Newton method More...

void	newton_solve (unsigned const &max_adapt)

void	steady_newton_solve (unsigned const &max_adapt=0)

void	copy (Problem *orig_problem_pt)

virtual Problem *	make_copy ()

virtual void	read (std::ifstream &restart_file, bool &unsteady_restart)

virtual void	read (std::ifstream &restart_file)

virtual void	dump (std::ofstream &dump_file) const

void	dump (const std::string &dump_file_name) const

void	delete_all_external_storage ()

virtual void	symmetrise_eigenfunction_for_adaptive_pitchfork_tracking ()

double *	bifurcation_parameter_pt () const

void	get_bifurcation_eigenfunction (Vector< DoubleVector > &eigenfunction)

void	activate_fold_tracking (double *const &parameter_pt, const bool &block_solve=true)

void	activate_bifurcation_tracking (double *const &parameter_pt, const DoubleVector &eigenvector, const bool &block_solve=true)

void	activate_bifurcation_tracking (double *const &parameter_pt, const DoubleVector &eigenvector, const DoubleVector &normalisation, const bool &block_solve=true)

void	activate_pitchfork_tracking (double *const &parameter_pt, const DoubleVector &symmetry_vector, const bool &block_solve=true)

void	activate_hopf_tracking (double *const &parameter_pt, const bool &block_solve=true)

void	activate_hopf_tracking (double *const &parameter_pt, const double &omega, const DoubleVector &null_real, const DoubleVector &null_imag, const bool &block_solve=true)

void	deactivate_bifurcation_tracking ()

void	reset_assembly_handler_to_default ()
	Reset the system to the standard non-augemented state. More...

double	arc_length_step_solve (double *const &parameter_pt, const double &ds, const unsigned &max_adapt=0)

double	arc_length_step_solve (Data *const &data_pt, const unsigned &data_index, const double &ds, const unsigned &max_adapt=0)

void	reset_arc_length_parameters ()

int &	sign_of_jacobian ()

void	explicit_timestep (const double &dt, const bool &shift_values=true)
	Take an explicit timestep of size dt. More...

void	unsteady_newton_solve (const double &dt)

void	unsteady_newton_solve (const double &dt, const bool &shift_values)

void	unsteady_newton_solve (const double &dt, const unsigned &max_adapt, const bool &first, const bool &shift=true)

double	doubly_adaptive_unsteady_newton_solve (const double &dt, const double &epsilon, const unsigned &max_adapt, const bool &first, const bool &shift=true)

double	doubly_adaptive_unsteady_newton_solve (const double &dt, const double &epsilon, const unsigned &max_adapt, const unsigned &suppress_resolve_after_spatial_adapt_flag, const bool &first, const bool &shift=true)

double	adaptive_unsteady_newton_solve (const double &dt_desired, const double &epsilon)

double	adaptive_unsteady_newton_solve (const double &dt_desired, const double &epsilon, const bool &shift_values)

void	assign_initial_values_impulsive ()

void	assign_initial_values_impulsive (const double &dt)

void	calculate_predictions ()
	Calculate predictions. More...

void	enable_mass_matrix_reuse ()

void	disable_mass_matrix_reuse ()

bool	mass_matrix_reuse_is_enabled ()
	Return whether the mass matrix is being reused. More...

void	refine_uniformly (const Vector< unsigned > &nrefine_for_mesh)

void	refine_uniformly (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh)

void	refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	refine_uniformly (DocInfo &doc_info)

void	refine_uniformly_and_prune (DocInfo &doc_info)

void	refine_uniformly ()

void	refine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
	Do uniform refinement for submesh i_mesh with documentation. More...

void	refine_uniformly (const unsigned &i_mesh)
	Do uniform refinement for submesh i_mesh without documentation. More...

void	p_refine_uniformly (const Vector< unsigned > &nrefine_for_mesh)

void	p_refine_uniformly (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	p_refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh)

void	p_refine_uniformly_and_prune (const Vector< unsigned > &nrefine_for_mesh, DocInfo &doc_info)

void	p_refine_uniformly (DocInfo &doc_info)

void	p_refine_uniformly_and_prune (DocInfo &doc_info)

void	p_refine_uniformly ()

void	p_refine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
	Do uniform p-refinement for submesh i_mesh with documentation. More...

void	p_refine_uniformly (const unsigned &i_mesh)
	Do uniform p-refinement for submesh i_mesh without documentation. More...

void	refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)

void	refine_selected_elements (const Vector< RefineableElement * > &elements_to_be_refined_pt)

void	refine_selected_elements (const unsigned &i_mesh, const Vector< unsigned > &elements_to_be_refined)

void	refine_selected_elements (const unsigned &i_mesh, const Vector< RefineableElement * > &elements_to_be_refined_pt)

void	refine_selected_elements (const Vector< Vector< unsigned >> &elements_to_be_refined)

void	refine_selected_elements (const Vector< Vector< RefineableElement * >> &elements_to_be_refined_pt)

void	p_refine_selected_elements (const Vector< unsigned > &elements_to_be_refined)

void	p_refine_selected_elements (const Vector< PRefineableElement * > &elements_to_be_refined_pt)

void	p_refine_selected_elements (const unsigned &i_mesh, const Vector< unsigned > &elements_to_be_refined)

void	p_refine_selected_elements (const unsigned &i_mesh, const Vector< PRefineableElement * > &elements_to_be_refined_pt)

void	p_refine_selected_elements (const Vector< Vector< unsigned >> &elements_to_be_refined)

void	p_refine_selected_elements (const Vector< Vector< PRefineableElement * >> &elements_to_be_refined_pt)

unsigned	unrefine_uniformly ()

unsigned	unrefine_uniformly (const unsigned &i_mesh)

void	p_unrefine_uniformly (DocInfo &doc_info)

void	p_unrefine_uniformly (const unsigned &i_mesh, DocInfo &doc_info)
	Do uniform p-unrefinement for submesh i_mesh without documentation. More...

void	adapt (unsigned &n_refined, unsigned &n_unrefined)

void	adapt ()

void	p_adapt (unsigned &n_refined, unsigned &n_unrefined)

void	p_adapt ()

void	adapt_based_on_error_estimates (unsigned &n_refined, unsigned &n_unrefined, Vector< Vector< double >> &elemental_error)

void	adapt_based_on_error_estimates (Vector< Vector< double >> &elemental_error)

void	get_all_error_estimates (Vector< Vector< double >> &elemental_error)

void	doc_errors (DocInfo &doc_info)
	Get max and min error for all elements in submeshes. More...

void	doc_errors ()
	Get max and min error for all elements in submeshes. More...

void	enable_info_in_newton_solve ()

void	disable_info_in_newton_solve ()
	Disable the output of information when in the newton solver. More...

Public Member Functions inherited from oomph::ExplicitTimeSteppableObject
	ExplicitTimeSteppableObject ()
	Empty constructor. More...

	ExplicitTimeSteppableObject (const ExplicitTimeSteppableObject &)=delete
	Broken copy constructor. More...

void	operator= (const ExplicitTimeSteppableObject &)=delete
	Broken assignment operator. More...

virtual	~ExplicitTimeSteppableObject ()
	Empty destructor. More...

virtual void	actions_before_explicit_stage ()

virtual void	actions_after_explicit_stage ()

Private Member Functions
void	create_flux_elements (const unsigned &b, Mesh const &bulk_mesh_pt, Mesh const &surface_mesh_pt)

Private Attributes
ofstream	Trace_file

bool	Impulsive_start

RectangularQuadMesh< ELEMENT > *	Bulk_mesh_pt
	Pointer to the "bulk" mesh. More...

Mesh *	Surface_mesh_pt
	Pointer to the "surface" mesh. More...

Additional Inherited Members
Public Types inherited from oomph::Problem
typedef void(*	SpatialErrorEstimatorFctPt) (Mesh *&mesh_pt, Vector< double > &elemental_error)
	Function pointer for spatial error estimator. More...

typedef void(*	SpatialErrorEstimatorWithDocFctPt) (Mesh *&mesh_pt, Vector< double > &elemental_error, DocInfo &doc_info)
	Function pointer for spatial error estimator with doc. More...

Public Attributes inherited from oomph::Problem
bool	Shut_up_in_newton_solve

Static Public Attributes inherited from oomph::Problem
static bool	Suppress_warning_about_actions_before_read_unstructured_meshes

Protected Types inherited from oomph::Problem
enum	Assembly_method { Perform_assembly_using_vectors_of_pairs , Perform_assembly_using_two_vectors , Perform_assembly_using_maps , Perform_assembly_using_lists , Perform_assembly_using_two_arrays }
	Enumerated flags to determine which sparse assembly method is used. More...

Protected Member Functions inherited from oomph::Problem
unsigned	setup_element_count_per_dof ()

virtual void	sparse_assemble_row_or_column_compressed (Vector< int * > &column_or_row_index, Vector< int * > &row_or_column_start, Vector< double * > &value, Vector< unsigned > &nnz, Vector< double * > &residual, bool compressed_row_flag)

virtual void	actions_before_newton_convergence_check ()

virtual void	actions_before_newton_step ()

virtual void	actions_after_newton_step ()

virtual void	actions_after_implicit_timestep_and_error_estimation ()

virtual void	actions_before_explicit_timestep ()
	Actions that should be performed before each explicit time step. More...

virtual void	actions_after_explicit_timestep ()
	Actions that should be performed after each explicit time step. More...

virtual void	actions_before_read_unstructured_meshes ()

virtual void	actions_after_read_unstructured_meshes ()

virtual void	actions_after_change_in_global_parameter (double *const &parameter_pt)

virtual void	actions_after_change_in_bifurcation_parameter ()

virtual void	actions_after_parameter_increase (double *const &parameter_pt)

double &	dof_derivative (const unsigned &i)

double &	dof_current (const unsigned &i)

virtual double	global_temporal_error_norm ()

unsigned	newton_solve_continuation (double *const &parameter_pt)

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

void	calculate_continuation_derivatives (double *const &parameter_pt)

void	calculate_continuation_derivatives (const DoubleVector &z)

void	calculate_continuation_derivatives_fd (double *const &parameter_pt)

bool	does_pointer_correspond_to_problem_data (double *const &parameter_pt)

void	set_consistent_pinned_values_for_continuation ()

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

std::map< double *, bool >	Calculate_dparameter_analytic

bool	Calculate_hessian_products_analytic

LinearAlgebraDistribution *	Dof_distribution_pt

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

DoubleVectorWithHaloEntries	Element_count_per_dof

double	Relaxation_factor

double	Newton_solver_tolerance

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

unsigned	Nnewton_iter_taken

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

double	Max_residuals

bool	Time_adaptive_newton_crash_on_solve_fail

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

bool	Jacobian_has_been_computed

bool	Problem_is_nonlinear

bool	Pause_at_end_of_sparse_assembly

bool	Doc_time_in_distribute

unsigned	Sparse_assembly_method

unsigned	Sparse_assemble_with_arrays_initial_allocation

unsigned	Sparse_assemble_with_arrays_allocation_increment

Vector< Vector< unsigned > >	Sparse_assemble_with_arrays_previous_allocation

double	Numerical_zero_for_sparse_assembly

double	FD_step_used_in_get_hessian_vector_products

bool	Mass_matrix_reuse_is_enabled

bool	Mass_matrix_has_been_computed

bool	Discontinuous_element_formulation

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

double	Maximum_dt
	Maximum desired dt. More...

double	DTSF_max_increase

double	DTSF_min_decrease

double	Minimum_dt_but_still_proceed

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

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

double	Theta_squared

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

double	Continuation_direction

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

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

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

unsigned	Dof_derivative_offset

unsigned	Dof_current_offset

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

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

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

unsigned	Desired_newton_iterations_ds

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

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

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

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

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

bool	Use_finite_differences_for_continuation_derivatives

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

bool	Always_take_one_newton_step

double	Timestep_reduction_factor_after_nonconvergence

bool	Keep_temporal_error_below_tolerance

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

Detailed Description

template<class ELEMENT, class TIMESTEPPER>
class LinearWaveProblem< ELEMENT, TIMESTEPPER >

LinearWave problem in rectanglular domain.

LinearWave problem with flux boundary conditions in rectangle.

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

Constructor & Destructor Documentation

◆ LinearWaveProblem() [1/3]

template<class ELEMENT , class TIMESTEPPER >

LinearWaveProblem< ELEMENT, TIMESTEPPER >::LinearWaveProblem	(	const unsigned &	nx,
		const unsigned &	ny,
		const bool &	impulsive_start,
		LinearWaveEquations< 2 >::LinearWaveSourceFctPt	source_fct_pt
	)

Constructor for LinearWave problem.

Constructor: pass number of elements in x and y directions, bool indicating impulsive or "smooth" start, and pointer to source function

                                                             :
  Impulsive_start(impulsive_start)
 { 
  
  //Allocate the timestepper -- this constructs the time object as well
  add_time_stepper_pt(new TIMESTEPPER());
  
  // Set up parameters for exact solution
  //-------------------------------------
  
  // Steepness of tanh profile
  TanhSolnForLinearWave::Alpha=4.0;
  
  // Orientation of step wave
  TanhSolnForLinearWave::Phi=MathematicalConstants::Pi/180.0*30.0;
  
  // Set up mesh
  //------------
  
  // # of elements in x-direction
  unsigned Nx=nx;
  
  // # of elements in y-direction
  unsigned Ny=ny;
  
  // Domain length in x-direction
  double Lx=1.0;
  
  // Domain length in y-direction
  double Ly=2.0;
  
  // Build and assign mesh
  Problem::mesh_pt()=new RectangularQuadMesh<ELEMENT>(
   Nx,Ny,Lx,Ly,time_stepper_pt());
  
  // Set the boundary conditions for this problem: All nodes are
  // free by default -- just pin the ones that have Dirichlet conditions
  // here. 
  unsigned num_bound = mesh_pt()->nboundary();
  for(unsigned ibound=0;ibound<num_bound;ibound++)
   {
    unsigned num_nod= mesh_pt()->nboundary_node(ibound);
    for (unsigned inod=0;inod<num_nod;inod++)
     {
      mesh_pt()->boundary_node_pt(ibound,inod)->pin(0); 
     }
   } //end of boundary conditions
  
  // Complete build of elements
  // --------------------------
  
  // Loop over the elements to set up element-specific 
  // things that cannot be handled by constructor 
 unsigned n_element = mesh_pt()->nelement();
 for(unsigned i=0;i<n_element;i++)
   {
    // Upcast from GeneralisedElement to the present element
    ELEMENT *el_pt = dynamic_cast<ELEMENT*>(mesh_pt()->element_pt(i));
  
    //Set the source function pointer
    el_pt->source_fct_pt() = source_fct_pt;
   }
  
  // Setup equation numbering scheme
  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl; 
  
 } // end of constructor

References oomph::Problem::add_time_stepper_pt(), TanhSolnForLinearWave::Alpha, oomph::Problem::assign_eqn_numbers(), i, Global_Parameters::Lx, Global_Parameters::Ly, LinearWaveProblem< ELEMENT, TIMESTEPPER >::mesh_pt(), Mesh_Parameters::nx, GlobalParameters::Nx, Mesh_Parameters::ny, GlobalParameters::Ny, TanhSolnForLinearWave::Phi, BiharmonicTestFunctions2::Pi, oomph::source_fct_pt(), and oomph::Problem::time_stepper_pt().

◆ ~LinearWaveProblem() [1/3]

template<class ELEMENT , class TIMESTEPPER >

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

inline

Destructor (empty)

121 {}

◆ LinearWaveProblem() [2/3]

template<class ELEMENT , class TIMESTEPPER >

LinearWaveProblem< ELEMENT, TIMESTEPPER >::LinearWaveProblem	(	const unsigned &	nx,
		const unsigned &	ny,
		LinearWaveEquations< 2 >::LinearWaveSourceFctPt	source_fct_pt
	)

Constructor for LinearWave problem.

Constructor: pass number of elements in x and y directions and pointer to source function.

 { 
  
  //Create the timestepper -- this constructs the time object as well
  add_time_stepper_pt(new TIMESTEPPER());
  
  
  // Set up parameters for exact solution
  //-------------------------------------
  
  // Steepness of tanh profile
  TanhSolnForLinearWave::Alpha=4.0;
  
  // Orientation of step wave
  TanhSolnForLinearWave::Phi=MathematicalConstants::Pi/180.0*30.0;
  
  
  
  // Set up mesh
  //------------
  
  // # of elements in x-direction
  unsigned Nx=nx;
  
  // # of elements in y-direction
  unsigned Ny=ny;
  
  // Domain length in x-direction
  double Lx=1.0;
  
  // Domain length in y-direction
  double Ly=2.0;
  
  // Build bulk mesh
  Bulk_mesh_pt=new RectangularQuadMesh<ELEMENT>(Nx,Ny,Lx,Ly,time_stepper_pt());
  
  // Create "surface mesh" that will contain only the prescribed-flux 
  // elements. The constructor just creates the mesh without
  // giving it any elements, nodes, etc.
  Surface_mesh_pt = new Mesh;
  
  // Create prescribed-flux elements from all elements that are 
  // adjacent to boundary 1, but add them to a separate mesh.
  // Note that this is exactly the same function as used in the 
  // single mesh version of the problem, we merely pass different Mesh pointers.
  create_flux_elements(1,Bulk_mesh_pt,Surface_mesh_pt);
  
  // Add the two sub meshes to the problem
  add_sub_mesh(Bulk_mesh_pt);
  add_sub_mesh(Surface_mesh_pt);
  
  // Combine all submeshes into a single Mesh
  build_global_mesh();
  
  
  
  // Set the boundary conditions for this problem: All nodes are
  // free by default -- just pin the ones that have Dirichlet conditions
  // here. 
  unsigned num_bound = Bulk_mesh_pt->nboundary();
  for(unsigned ibound=0;ibound<num_bound;ibound++)
   {
    if (ibound!=1) // Not on the flux boundary
     {
      unsigned num_nod= Bulk_mesh_pt->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        Bulk_mesh_pt->boundary_node_pt(ibound,inod)->pin(0); 
       }
     }
   }
  
  // Complete build of bulk elements
  // -------------------------------
  
  // Loop over the elements to set up element-specific 
  // things that cannot be handled by constructor
  unsigned n_element = Bulk_mesh_pt->nelement();
  for(unsigned i=0;i<n_element;i++)
   {
    // Upcast from FiniteElement to the present element
    ELEMENT *el_pt = dynamic_cast<ELEMENT*>(Bulk_mesh_pt->element_pt(i));
  
    //Set the source function pointer
    el_pt->source_fct_pt() = source_fct_pt;
   }
  
  
  // Complete build of flux elements
  // -------------------------------
  
  // Loop over surface elements to set up element-specific 
  // things that cannot be handled by constructor
  n_element = Surface_mesh_pt->nelement();
  for (unsigned e=0;e<n_element;e++)
   {
    // Upcast from GeneralisedElement to LinearWave flux element
    LinearWaveFluxElement<ELEMENT> *el_pt = 
     dynamic_cast< LinearWaveFluxElement<ELEMENT>*>(
      Surface_mesh_pt->element_pt(e));
    
    el_pt->flux_fct_pt() = 
     &TanhSolnForLinearWave::prescribed_flux_on_fixed_y_boundary;
   }
  
  //Setup equation numbering scheme
  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl; 
  
 } // end of constructor

References TanhSolnForLinearWave::Alpha, e(), oomph::LinearWaveFluxElement< ELEMENT >::flux_fct_pt(), i, Global_Parameters::Lx, Global_Parameters::Ly, Mesh_Parameters::nx, GlobalParameters::Nx, Mesh_Parameters::ny, GlobalParameters::Ny, TanhSolnForLinearWave::Phi, BiharmonicTestFunctions2::Pi, TanhSolnForLinearWave::prescribed_flux_on_fixed_y_boundary(), and oomph::source_fct_pt().

◆ ~LinearWaveProblem() [2/3]

template<class ELEMENT , class TIMESTEPPER >

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

inline

Destructor (empty)

151 {}

◆ LinearWaveProblem() [3/3]

template<class ELEMENT , class TIMESTEPPER >

LinearWaveProblem< ELEMENT, TIMESTEPPER >::LinearWaveProblem	(	const unsigned &	nx,
		const unsigned &	ny,
		const bool &	impulsive_start,
		LinearWaveEquations< 2 >::LinearWaveSourceFctPt	source_fct_pt
	)

Constructor: pass number of elements in x and y directions bool indicating impulsive or "smooth" start and pointer to source function

◆ ~LinearWaveProblem() [3/3]

template<class ELEMENT , class TIMESTEPPER >

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

inline

Destructor (empty)

121 {}

Member Function Documentation

◆ actions_after_implicit_timestep() [1/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs after solve (empty)

Reimplemented from oomph::Problem.

130 {}

◆ actions_after_implicit_timestep() [2/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs after solve (empty)

Reimplemented from oomph::Problem.

160 {}

◆ actions_after_implicit_timestep() [3/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs after solve (empty)

Reimplemented from oomph::Problem.

130 {}

◆ actions_after_newton_solve() [1/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs after solve (empty)

Reimplemented from oomph::Problem.

124 {}

◆ actions_after_newton_solve() [2/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs after solve (empty)

Reimplemented from oomph::Problem.

154 {}

◆ actions_after_newton_solve() [3/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs after solve (empty)

Reimplemented from oomph::Problem.

124 {}

◆ actions_before_implicit_timestep() [1/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs before next timestep: Set time-dependent Dirchlet boundary from exact solution.

Reimplemented from oomph::Problem.

   {
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt> 
     initial_value_fct(1);
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt>
     initial_veloc_fct(1);
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt> 
     initial_accel_fct(1);
    
    // Assign values for analytical value, veloc and accel:
    initial_value_fct[0]=&TanhSolnForLinearWave::exact_u;
    initial_veloc_fct[0]=&TanhSolnForLinearWave::exact_dudt;
    initial_accel_fct[0]=&TanhSolnForLinearWave::exact_d2udt2;
    
    // Loop over boundaries
    unsigned num_bound=mesh_pt()->nboundary();
    for (unsigned ibound=0;ibound<num_bound;ibound++)
     {
      // Loop over boundary nodes
      unsigned num_nod=mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        // Set the boundary condition from the exact solution
        Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
  
        bool use_direct_assignment=false;
        if (use_direct_assignment)
         {
          // Set nodal coordinates for evaluation of BC:
          Vector<double> x(2);
          x[0]=nod_pt->x(0);
          x[1]=nod_pt->x(1);
          
          // Set exact solution at current time
          nod_pt->set_value(0,
                            TanhSolnForLinearWave::exact_u(time_pt()->time(),x));
         }
        else
         {
          // Get timestepper
          TIMESTEPPER* timestepper_pt=dynamic_cast<TIMESTEPPER*>
           (time_stepper_pt());
          
          // Assign the history values
          timestepper_pt->assign_initial_data_values(nod_pt, 
                                                     initial_value_fct,
                                                     initial_veloc_fct,
                                                     initial_accel_fct);
         }
       }
     }
   } // end of actions before timestep

References TanhSolnForLinearWave::exact_d2udt2(), TanhSolnForLinearWave::exact_dudt(), TanhSolnForLinearWave::exact_u(), oomph::Data::set_value(), plotDoE::x, and oomph::Node::x().

◆ actions_before_implicit_timestep() [2/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs before next timestep: Set Dirchlet boundary conditions from exact solution.

Reimplemented from oomph::Problem.

   {
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt> 
     initial_value_fct(1);
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt>
     initial_veloc_fct(1);
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt> 
     initial_accel_fct(1);
    
    // Assign values for analytical value, veloc and accel:
    initial_value_fct[0]=&TanhSolnForLinearWave::exact_u;
    initial_veloc_fct[0]=&TanhSolnForLinearWave::exact_dudt;
    initial_accel_fct[0]=&TanhSolnForLinearWave::exact_d2udt2;
    
    // Loop over boundaries
    unsigned num_bound=Bulk_mesh_pt->nboundary();
    for (unsigned ibound=0;ibound<num_bound;ibound++)
     {
      // Ignore boundary 1 where flux condition is applied
      if (ibound!=1)
       {
        // Loop over boundary nodes
        unsigned num_nod=Bulk_mesh_pt->nboundary_node(ibound);
        for (unsigned inod=0;inod<num_nod;inod++)
         {
          // Set the boundary condition from the exact solution
          Node* nod_pt=Bulk_mesh_pt->boundary_node_pt(ibound,inod);
          
          bool use_direct_assignment=false;
          if (use_direct_assignment)
           {
            // Set nodal coordinates for evaluation of BC:
            Vector<double> x(2);
            x[0]=nod_pt->x(0);
            x[1]=nod_pt->x(1);
            
            // Set exact solution at current time
            nod_pt->
             set_value(0,
                       TanhSolnForLinearWave::exact_u(time_pt()->time(),x));
           }
          else
           {  
            // Get timestepper
            TIMESTEPPER* timestepper_pt=dynamic_cast<TIMESTEPPER*>
             (time_stepper_pt());
            
            // Assign the history values
            timestepper_pt->assign_initial_data_values(nod_pt, 
                                                       initial_value_fct,
                                                       initial_veloc_fct,
                                                       initial_accel_fct);
           }
         }
       }
     }
   } // end of actions before timestep

References TanhSolnForLinearWave::exact_d2udt2(), TanhSolnForLinearWave::exact_dudt(), TanhSolnForLinearWave::exact_u(), plotDoE::x, and oomph::Node::x().

◆ actions_before_implicit_timestep() [3/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs before next timestep: Set time-dependent Dirchlet boundary from exact solution.

Reimplemented from oomph::Problem.

   {
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt> 
     initial_value_fct(1);
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt>
     initial_veloc_fct(1);
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt> 
     initial_accel_fct(1);
    
    // Assign values for analytical value, veloc and accel:
    initial_value_fct[0]=&TanhSolnForLinearWave::exact_u;
    initial_veloc_fct[0]=&TanhSolnForLinearWave::exact_dudt;
    initial_accel_fct[0]=&TanhSolnForLinearWave::exact_d2udt2;
    
    // Loop over boundaries
    unsigned num_bound=mesh_pt()->nboundary();
    for (unsigned ibound=0;ibound<num_bound;ibound++)
     {
      // Loop over boundary nodes
      unsigned num_nod=mesh_pt()->nboundary_node(ibound);
      for (unsigned inod=0;inod<num_nod;inod++)
       {
        // Set the boundary condition from the exact solution
        Node* nod_pt=mesh_pt()->boundary_node_pt(ibound,inod);
  
        bool use_direct_assignment=false;
        if (use_direct_assignment)
         {
          // Set nodal coordinates for evaluation of BC:
          Vector<double> x(2);
          x[0]=nod_pt->x(0);
          x[1]=nod_pt->x(1);
          
          // Set exact solution at current time
          nod_pt->
           set_value(0,
                     TanhSolnForLinearWave::exact_u(time_pt()->time(),x));
         }
        else
         {  
          // Get timestepper
          TIMESTEPPER* timestepper_pt=dynamic_cast<TIMESTEPPER*>
           (time_stepper_pt());
          
          // Assign the history values
          timestepper_pt->assign_initial_data_values(nod_pt, 
                                                     initial_value_fct,
                                                     initial_veloc_fct,
                                                     initial_accel_fct);
         }
       }
     }
   } // end of actions before timestep

References TanhSolnForLinearWave::exact_d2udt2(), TanhSolnForLinearWave::exact_dudt(), TanhSolnForLinearWave::exact_u(), plotDoE::x, and oomph::Node::x().

◆ actions_before_newton_solve() [1/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

127 {}

◆ actions_before_newton_solve() [2/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

157 {}

◆ actions_before_newton_solve() [3/3]

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

127 {}

◆ create_flux_elements()

template<class ELEMENT , class TIMESTEPPER >

void LinearWaveProblem< ELEMENT, TIMESTEPPER >::create_flux_elements	(	const unsigned &	b,
		Mesh *const &	bulk_mesh_pt,
		Mesh *const &	surface_mesh_pt
	)

private

Create LinearWave flux elements on boundary b of the Mesh pointed to by bulk_mesh_pt and add them to the Mesh object pointed to by surface_mesh_pt

Create LinearWave Flux Elements on the b-th boundary of the Mesh object pointed to by bulk_mesh_pt and add the elements to the Mesh object pointed to by surface_mesh_pt.

 {
  // How many bulk elements are adjacent to boundary b?
  unsigned n_element = bulk_mesh_pt->nboundary_element(b);
  
  // Loop over the bulk elements adjacent to boundary b?
  for(unsigned e=0;e<n_element;e++)
   {
    // Get pointer to the bulk element that is adjacent to boundary b
    ELEMENT* bulk_elem_pt = dynamic_cast<ELEMENT*>(
     bulk_mesh_pt->boundary_element_pt(b,e));
    
    //Find the index of the face of element e along boundary b
    int face_index = bulk_mesh_pt->face_index_at_boundary(b,e);
       
    // Build the corresponding prescribed-flux element
    LinearWaveFluxElement<ELEMENT>* flux_element_pt = new 
     LinearWaveFluxElement<ELEMENT>(bulk_elem_pt,face_index);
    
    //Add the prescribed-flux element to the surface mesh
    surface_mesh_pt->add_element_pt(flux_element_pt);
  
   } //end of loop over bulk elements adjacent to boundary b
  
 } // end of create flux elements

References oomph::Mesh::add_element_pt(), b, oomph::Mesh::boundary_element_pt(), e(), oomph::Mesh::face_index_at_boundary(), and oomph::Mesh::nboundary_element().

◆ doc_solution() [1/3]

template<class ELEMENT , class TIMESTEPPER >

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

Doc the solution.

 { 
  
  ofstream some_file;
  char filename[100];
  
  // Number of plot points
  unsigned npts;
  npts=5; 
  
  cout << std::endl;
  cout << "=================================================" << std::endl;
  cout << "Docing solution for t=" << time_pt()->time() << std::endl;
  cout << "=================================================" << std::endl;
  
  // Output solution 
  //-----------------
  sprintf(filename,"%s/soln%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->output(some_file,npts);
  some_file << "TEXT X=2.5,Y=93.6,F=HELV,HU=POINT,C=BLUE,H=26,T=\"time = " 
            << time_pt()->time() << "\"";
  some_file << "GEOMETRY X=2.5,Y=98,T=LINE,C=BLUE,LT=0.4" << std::endl;
  some_file << "1" << std::endl;
  some_file << "2" << std::endl;
  some_file << " 0 0" << std::endl;
  some_file << time_pt()->time()*20.0 << " 0" << std::endl;
  some_file.close();
  
  // Output exact solution 
  //----------------------
  sprintf(filename,"%s/exact_soln%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  oomph_info << " FILENAME: " << filename << std::endl;
  some_file.open(filename);
  mesh_pt()->output_fct(some_file,npts,time_pt()->time(),
                         TanhSolnForLinearWave::get_exact_u); 
  some_file.close();
  
  // Doc error
  //----------
  double error,norm;
  sprintf(filename,"%s/error%i.dat",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  mesh_pt()->compute_error(some_file,
                           TanhSolnForLinearWave::get_exact_u,
                           time_pt()->time(),
                           error,norm); 
  some_file.close();
  cout << "error: " << error << std::endl; 
  cout << "norm : " << norm << std::endl << std::endl;
  
  // Write trace file
  Trace_file << time_pt()->time() << " " << time_pt()->dt()
             << " " << mesh_pt()->nelement() << " " 
             << error << " " << norm << std::endl;
  
 } // end of doc solution

References oomph::DocInfo::directory(), calibrate::error, MergeRestartFiles::filename, TanhSolnForLinearWave::get_exact_u(), oomph::DocInfo::number(), oomph::oomph_info, and oomph::Problem_Parameter::Trace_file.

◆ doc_solution() [2/3]

template<class ELEMENT , class TIMESTEPPER >

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

Doc the solution.

◆ doc_solution() [3/3]

template<class ELEMENT , class TIMESTEPPER >

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

Doc the solution.

◆ mesh_pt()

template<class ELEMENT , class TIMESTEPPER >

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

inline

Access function for the specific mesh.

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

Referenced by LinearWaveProblem< ELEMENT, TIMESTEPPER >::LinearWaveProblem().

◆ set_initial_condition() [1/3]

template<class ELEMENT , class TIMESTEPPER >

void LinearWaveProblem< ELEMENT, TIMESTEPPER >::set_initial_condition

virtual

Set initial condition (incl history values)

Set initial condition.

Reimplemented from oomph::Problem.

 { 
  
  // Get timestepper
  TIMESTEPPER* timestepper_pt=dynamic_cast<TIMESTEPPER*>(time_stepper_pt());
  
  
  // Impulsive start
  //----------------
  if (Impulsive_start)
   {
    // Loop over the nodes to set initial conditions everywhere
    unsigned num_nod=mesh_pt()->nnode();
    for (unsigned jnod=0;jnod<num_nod;jnod++)
     {
      // Pointer to node
      Node* nod_pt=mesh_pt()->node_pt(jnod);
  
      // Get nodal coordinates
      Vector<double> x(2);
      x[0]=nod_pt->x(0);
      x[1]=nod_pt->x(1);
  
      // Assign initial value from exact solution
      nod_pt->set_value(0,TanhSolnForLinearWave::exact_u(time_pt()->time(),x));
  
      // Set history values so that they are consistent with an impulsive
      // start from this value
      timestepper_pt->assign_initial_values_impulsive(nod_pt);
     }
   } // end impulsive start
  
  // "Smooth" start from analytical time history
  //--------------------------------------------
  else
   {
  
    // Vector of function pointers to functions that specify the
    // value, and the first and second time-derivatives of the
    // function used as the initial condition
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt> 
     initial_value_fct(1);
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt>
     initial_veloc_fct(1);
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt> 
     initial_accel_fct(1);
    
    // Assign values for analytical value, veloc and accel:
    initial_value_fct[0]=&TanhSolnForLinearWave::exact_u;
    initial_veloc_fct[0]=&TanhSolnForLinearWave::exact_dudt;
    initial_accel_fct[0]=&TanhSolnForLinearWave::exact_d2udt2;
    
    // Assign Newmark history values so that Newmark approximations
    // for velocity and accel are correct at initial time:
  
    // Loop over the nodes to set initial conditions everywhere
    unsigned num_nod=mesh_pt()->nnode();
    for (unsigned jnod=0;jnod<num_nod;jnod++)
     {
      // Pointer to node
      Node* nod_pt=mesh_pt()->node_pt(jnod);
     
      // Assign the history values
      timestepper_pt->assign_initial_data_values(nod_pt, 
                                                 initial_value_fct,
                                                 initial_veloc_fct,
                                                 initial_accel_fct);
     } // end of smooth start
  
  
    // Paranoia: Check that the initial values were assigned correctly
    double err_max=0.0;
    for (unsigned jnod=0;jnod<num_nod;jnod++)
     {
      // Pointer to node
      Node* nod_pt=mesh_pt()->node_pt(jnod);
  
      // Get nodal coordinates
      Vector<double> x(2);
      x[0]=nod_pt->x(0);
      x[1]=nod_pt->x(1);
  
      // Get exact value and first and second time-derivatives
      double u_exact=
       TanhSolnForLinearWave::exact_u(time_pt()->time(),x);
      double dudt_exact=
       TanhSolnForLinearWave::exact_dudt(time_pt()->time(),x);
      double d2udt2_exact=
       TanhSolnForLinearWave::exact_d2udt2(time_pt()->time(),x);
     
      // Get Newmark approximations for zero-th, first and second 
      // time-derivatives of the nodal values. 
      double u_fe=timestepper_pt->time_derivative(0,nod_pt,0);
      double dudt_fe=timestepper_pt->time_derivative(1,nod_pt,0);
      double d2udt2_fe=timestepper_pt->time_derivative(2,nod_pt,0);
      
      // Error
      double error=sqrt(pow(u_exact-u_fe,2)+
                        pow(dudt_exact-dudt_fe,2)+
                        pow(d2udt2_exact-d2udt2_fe,2));
      if (error>err_max) err_max=error;
     }
    cout << "Max. error in assignment of initial condition " 
         << err_max << std::endl;   
   }
  
  
 } // end of set initial condition

References calibrate::error, TanhSolnForLinearWave::exact_d2udt2(), TanhSolnForLinearWave::exact_dudt(), TanhSolnForLinearWave::exact_u(), Eigen::ArrayBase< Derived >::pow(), oomph::Data::set_value(), sqrt(), plotDoE::x, and oomph::Node::x().

◆ set_initial_condition() [2/3]

template<class ELEMENT , class TIMESTEPPER >

void LinearWaveProblem< ELEMENT, TIMESTEPPER >::set_initial_condition ( )

virtual

Set initial condition (incl history values) according to specified function.

Reimplemented from oomph::Problem.

◆ set_initial_condition() [3/3]

template<class ELEMENT , class TIMESTEPPER >

void LinearWaveProblem< ELEMENT, TIMESTEPPER >::set_initial_condition ( )

virtual

Set initial condition (incl history values)

Reimplemented from oomph::Problem.

◆ unsteady_run() [1/3]

template<class ELEMENT , class TIMESTEPPER >

void LinearWaveProblem< ELEMENT, TIMESTEPPER >::unsteady_run

Do unsteady run.

Perform run up to specified time.

Unsteady run.

 {
  
  // Setup labels for output
  DocInfo doc_info;
  
  // Output directory
  if (Impulsive_start)
   {
    doc_info.set_directory("RESLT_impulsive"); 
   }
  else
   {
    doc_info.set_directory("RESLT_smooth"); 
   }
  
  // Open trace file
  char filename[100];   
  sprintf(filename,"%s/trace.dat",doc_info.directory().c_str());
  Trace_file.open(filename);
  
  // Initialise time
  double time0=0.0;
  time_pt()->time()=time0;
  
  // Set initial timestep
  double dt=0.005;
  time_pt()->initialise_dt(dt);
  
  // Set IC
  set_initial_condition();
  
  //Output initial condition
  doc_solution(doc_info);
  
  //Increment counter for solutions 
  doc_info.number()++;
  
  // Maximum time
  double t_max=4.0;
  
  // Number of steps
  unsigned nstep=unsigned(t_max/dt);
  
  // If validation run only do 2 timesteps
  if (CommandLineArgs::Argc>1)
   { 
    nstep=2; 
    cout << "Validation run -- only doing two timesteps." << std::endl;
   }
  
  // Timestepping loop
  for (unsigned istep=0;istep<nstep;istep++)
   {
    //Take fixed timestep without spatial adaptivity
    unsteady_newton_solve(dt);
       
    //Output solution
    doc_solution(doc_info);
      
    //Increment counter for solutions 
    doc_info.number()++;
   }
  
  // Close trace file
  Trace_file.close();
  
 } // end of unsteady run

References oomph::CommandLineArgs::Argc, oomph::DocInfo::directory(), MergeRestartFiles::filename, oomph::DocInfo::number(), oomph::DocInfo::set_directory(), and oomph::Problem_Parameter::Trace_file.

◆ unsteady_run() [2/3]

template<class ELEMENT , class TIMESTEPPER >

void LinearWaveProblem< ELEMENT, TIMESTEPPER >::unsteady_run ( )

Do unsteady run.

◆ unsteady_run() [3/3]

template<class ELEMENT , class TIMESTEPPER >

void LinearWaveProblem< ELEMENT, TIMESTEPPER >::unsteady_run ( )

Do unsteady run.

Member Data Documentation

◆ Bulk_mesh_pt

template<class ELEMENT , class TIMESTEPPER >

RectangularQuadMesh<ELEMENT>* LinearWaveProblem< ELEMENT, TIMESTEPPER >::Bulk_mesh_pt

private

Pointer to the "bulk" mesh.

◆ Impulsive_start

template<class ELEMENT , class TIMESTEPPER >

bool LinearWaveProblem< ELEMENT, TIMESTEPPER >::Impulsive_start

private

◆ Surface_mesh_pt

template<class ELEMENT , class TIMESTEPPER >

Mesh* LinearWaveProblem< ELEMENT, TIMESTEPPER >::Surface_mesh_pt

private

Pointer to the "surface" mesh.

◆ Trace_file

template<class ELEMENT , class TIMESTEPPER >

ofstream LinearWaveProblem< ELEMENT, TIMESTEPPER >::Trace_file

private

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

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT, class TIMESTEPPER> class LinearWaveProblem< ELEMENT, TIMESTEPPER >

Constructor & Destructor Documentation

◆ LinearWaveProblem() [1/3]

◆ ~LinearWaveProblem() [1/3]

◆ LinearWaveProblem() [2/3]

◆ ~LinearWaveProblem() [2/3]

◆ LinearWaveProblem() [3/3]

◆ ~LinearWaveProblem() [3/3]

Member Function Documentation

◆ actions_after_implicit_timestep() [1/3]

◆ actions_after_implicit_timestep() [2/3]

◆ actions_after_implicit_timestep() [3/3]

◆ actions_after_newton_solve() [1/3]

◆ actions_after_newton_solve() [2/3]

◆ actions_after_newton_solve() [3/3]

◆ actions_before_implicit_timestep() [1/3]

◆ actions_before_implicit_timestep() [2/3]

◆ actions_before_implicit_timestep() [3/3]

◆ actions_before_newton_solve() [1/3]

◆ actions_before_newton_solve() [2/3]

◆ actions_before_newton_solve() [3/3]

◆ create_flux_elements()

◆ doc_solution() [1/3]

◆ doc_solution() [2/3]

◆ doc_solution() [3/3]

◆ mesh_pt()

◆ set_initial_condition() [1/3]

◆ set_initial_condition() [2/3]

◆ set_initial_condition() [3/3]

◆ unsteady_run() [1/3]

◆ unsteady_run() [2/3]

◆ unsteady_run() [3/3]

Member Data Documentation

◆ Bulk_mesh_pt

◆ Impulsive_start

◆ Surface_mesh_pt

◆ Trace_file

template<class ELEMENT, class TIMESTEPPER>
class LinearWaveProblem< ELEMENT, TIMESTEPPER >