Periodic loading problem. More...

Inheritance diagram for RefineablePeriodicLoadProblem< ELEMENT >:

Public Member Functions
	RefineablePeriodicLoadProblem (const unsigned &nx, const unsigned &ny, const double &lx, const double &ly)

void	actions_before_newton_solve ()
	Update before solve is empty. More...

void	actions_after_newton_solve ()
	Update after solve is empty. More...

void	actions_before_adapt ()
	Actions before adapt: Wipe the mesh of traction elements. More...

void	actions_after_adapt ()
	Actions after adapt: Rebuild the mesh of traction elements. More...

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 Member Functions
void	assign_traction_elements ()
	Allocate traction elements on the top surface. More...

void	delete_traction_elements ()
	Kill traction elements on the top surface. More...

Private Attributes
TreeBasedRefineableMeshBase *	Bulk_mesh_pt
	Pointer to the (refineable!) bulk mesh. More...

Mesh *	Surface_mesh_pt
	Pointer to the mesh of traction elements. More...

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

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

Public Attributes inherited from oomph::Problem
bool	Shut_up_in_newton_solve

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

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

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

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

virtual void	actions_before_newton_convergence_check ()

virtual void	actions_before_newton_step ()

virtual void	actions_after_newton_step ()

virtual void	actions_before_implicit_timestep ()

virtual void	actions_after_implicit_timestep ()

virtual void	actions_after_implicit_timestep_and_error_estimation ()

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

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

virtual void	actions_before_read_unstructured_meshes ()

virtual void	actions_after_read_unstructured_meshes ()

virtual void	actions_after_change_in_global_parameter (double *const &parameter_pt)

virtual void	actions_after_change_in_bifurcation_parameter ()

virtual void	actions_after_parameter_increase (double *const &parameter_pt)

double &	dof_derivative (const unsigned &i)

double &	dof_current (const unsigned &i)

virtual 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 RefineablePeriodicLoadProblem< ELEMENT >

Periodic loading problem.

Constructor & Destructor Documentation

◆ RefineablePeriodicLoadProblem()

template<class ELEMENT >

RefineablePeriodicLoadProblem< ELEMENT >::RefineablePeriodicLoadProblem	(	const unsigned &	nx,
		const unsigned &	ny,
		const double &	lx,
		const double &	ly
	)

Constructor: Pass number of elements in x and y directions and lengths.

Problem constructor: Pass number of elements in the coordinate directions and the domain sizes.

 {
  // Create the mesh 
  Bulk_mesh_pt = new RefineableRectangularQuadMesh<ELEMENT>(nx,ny,lx,ly);
  
  // Create/set error estimator
  Bulk_mesh_pt->spatial_error_estimator_pt()=new Z2ErrorEstimator;
  
  // Make the mesh periodic in the x-direction by setting the nodes on
  // right boundary (boundary 1) to be the periodic counterparts of
  // those on the left one (boundary 3).
  unsigned n_node = Bulk_mesh_pt->nboundary_node(1);
  for(unsigned n=0;n<n_node;n++)
   {
    Bulk_mesh_pt->boundary_node_pt(1,n)
     ->make_periodic(Bulk_mesh_pt->boundary_node_pt(3,n));
   }
  
  
  // Now establish the new neighbours (created by "wrapping around"
  // the domain) in the TreeForst representation of the mesh
  
  // Get pointers to tree roots associated with elements on the 
  // left and right boundaries
   Vector<TreeRoot*> left_root_pt(ny);
   Vector<TreeRoot*> right_root_pt(ny);
   for(unsigned i=0;i<ny;i++) 
    {
     left_root_pt[i] = 
      dynamic_cast<ELEMENT*>(Bulk_mesh_pt->element_pt(i*nx))->
      tree_pt()->root_pt();
     right_root_pt[i] = 
      dynamic_cast<ELEMENT*>(Bulk_mesh_pt->element_pt(nx-1+i*nx))->
      tree_pt()->root_pt();
    }
  
   // Switch on QuadTreeNames for enumeration of directions
    using namespace QuadTreeNames;
  
   //Set the neighbour and periodicity
   for(unsigned i=0;i<ny;i++) 
    {
     // The western neighbours of the elements on the left
     // boundary are those on the right
     left_root_pt[i]->neighbour_pt(W) = right_root_pt[i];
     left_root_pt[i]->set_neighbour_periodic(W); 
     
     // The eastern neighbours of the elements on the right
     // boundary are those on the left
     right_root_pt[i]->neighbour_pt(E) = left_root_pt[i];
     right_root_pt[i]->set_neighbour_periodic(E);     
    } // done
  
  
  //Create the surface mesh of traction elements
  Surface_mesh_pt=new Mesh;
  assign_traction_elements();
  
  // Set the boundary conditions for this problem: All nodes are
  // free by default -- just pin & set the ones that have Dirichlet 
  // conditions here
  unsigned ibound=0;
  unsigned num_nod=Bulk_mesh_pt->nboundary_node(ibound);
  for (unsigned inod=0;inod<num_nod;inod++)
   {
    // Get pointer to node
    Node* nod_pt=Bulk_mesh_pt->boundary_node_pt(ibound,inod);
  
    // Pinned in x & y at the bottom and set value
    nod_pt->pin(0);
    nod_pt->pin(1);
  
    // Check which boundary conditions to set and set them
    if (Global_Parameters::Finite)
      {
       // Set both displacements to zero
       nod_pt->set_value(0,0);
       nod_pt->set_value(1,0);
      }
    else
      {
       // Extract nodal coordinates from node:
       Vector<double> x(2);
       x[0]=nod_pt->x(0);
       x[1]=nod_pt->x(1);
  
       // Compute the value of the exact solution at the nodal point
       Vector<double> u(2);
       Global_Parameters::exact_solution(x,u);
  
       // Assign these values to the nodal values at this node
       nod_pt->set_value(0,u[0]);
       nod_pt->set_value(1,u[1]);
      };
   } // end_loop_over_boundary_nodes
  
  // Complete the problem setup to make the elements fully functional
  
  // Loop over the elements
  unsigned n_el = Bulk_mesh_pt->nelement();
  for(unsigned e=0;e<n_el;e++)
   {
    // Cast to a bulk element
    ELEMENT *el_pt = dynamic_cast<ELEMENT*>(Bulk_mesh_pt->element_pt(e));
  
    // Set the elasticity tensor
    el_pt->elasticity_tensor_pt() = &Global_Parameters::E;
   }// end loop over elements
  
  
  // Do selective refinement of one element so that we can test
  // whether periodic hanging nodes work: Choose a single element 
  // (the zero-th one) as the to-be-refined element.
  // This creates a hanging node on the periodic boundary
  Vector<unsigned> refine_pattern(1,0);
  Bulk_mesh_pt->refine_selected_elements(refine_pattern);
   
  // Add the submeshes to the problem
  add_sub_mesh(Bulk_mesh_pt);
  add_sub_mesh(Surface_mesh_pt);
  
  // Now build the global mesh
  build_global_mesh();
  
  // Assign equation numbers
  cout << assign_eqn_numbers() << " equations assigned" << std::endl; 
 } // end of constructor

References Global_Physical_Variables::E, e(), Global_Parameters::E, Global_Parameters::exact_solution(), Global_Parameters::Finite, i, Mesh_Parameters::lx, Mesh_Parameters::ly, n, Mesh_Parameters::nx, Mesh_Parameters::ny, oomph::Data::pin(), oomph::Data::set_value(), oomph::QuadTreeNames::W, plotDoE::x, and oomph::Node::x().

Member Function Documentation

◆ actions_after_adapt()

template<class ELEMENT >

void RefineablePeriodicLoadProblem< ELEMENT >::actions_after_adapt ( )

inlinevirtual

Actions after adapt: Rebuild the mesh of traction elements.

Reimplemented from oomph::Problem.

   {
    // Create traction elements
    assign_traction_elements();
  
    // Rebuild the Problem's global mesh from its various sub-meshes
    rebuild_global_mesh();
   }

◆ actions_after_newton_solve()

template<class ELEMENT >

void RefineablePeriodicLoadProblem< ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update after solve is empty.

Reimplemented from oomph::Problem.

104 {}

◆ actions_before_adapt()

template<class ELEMENT >

void RefineablePeriodicLoadProblem< ELEMENT >::actions_before_adapt ( )

inlinevirtual

Actions before adapt: Wipe the mesh of traction elements.

Reimplemented from oomph::Problem.

   {
    // Kill the traction elements and wipe surface mesh
    delete_traction_elements();
    
    // Rebuild the Problem's global mesh from its various sub-meshes
    rebuild_global_mesh();
   }

◆ actions_before_newton_solve()

template<class ELEMENT >

void RefineablePeriodicLoadProblem< ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update before solve is empty.

Reimplemented from oomph::Problem.

101 {}

◆ assign_traction_elements()

template<class ELEMENT >

void RefineablePeriodicLoadProblem< ELEMENT >::assign_traction_elements

private

Allocate traction elements on the top surface.

Make traction elements along the top boundary of the bulk mesh.

 {
  
  // How many bulk elements are next to boundary 2 (the top boundary)?
  unsigned bound=2;
  unsigned n_neigh = Bulk_mesh_pt->nboundary_element(bound); 
  
  // Now loop over bulk elements and create the face elements
  for(unsigned n=0;n<n_neigh;n++)
   {
    // Create the face element
    FiniteElement *traction_element_pt 
     = new LinearElasticityTractionElement<ELEMENT>
     (Bulk_mesh_pt->boundary_element_pt(bound,n),
      Bulk_mesh_pt->face_index_at_boundary(bound,n));
  
    // Add to mesh
    Surface_mesh_pt->add_element_pt(traction_element_pt);
   }
  
  // Now set function pointer to applied traction
  unsigned n_traction =  Surface_mesh_pt->nelement();
  for(unsigned e=0;e<n_traction;e++)
   {
    // Cast to a surface element
    LinearElasticityTractionElement<ELEMENT> *el_pt = 
     dynamic_cast<LinearElasticityTractionElement<ELEMENT>* >
     (Surface_mesh_pt->element_pt(e));
    
    // Set the applied traction
    el_pt->traction_fct_pt() = &Global_Parameters::periodic_traction;
   }// end loop over traction elements
  
  
 } // end of assign_traction_elements

References e(), n, Global_Parameters::periodic_traction(), and oomph::LinearElasticityTractionElement< ELEMENT >::traction_fct_pt.

◆ delete_traction_elements()

template<class ELEMENT >

void RefineablePeriodicLoadProblem< ELEMENT >::delete_traction_elements ( )

inlineprivate

Kill traction elements on the top surface.

   {
    // How many surface elements are in the surface mesh
    unsigned n_element = Surface_mesh_pt->nelement();
    
    // Loop over the traction elements
    for(unsigned e=0;e<n_element;e++)
     {
      // Kill surface element
      delete Surface_mesh_pt->element_pt(e);
     }
    
    // Wipe the mesh
    Surface_mesh_pt->flush_element_and_node_storage();
   }

References e().

◆ doc_solution()

template<class ELEMENT >

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

Doc the solution.

 { 
  ofstream some_file;
  char filename[100];
  
  // Number of plot points
  unsigned npts=5; 
  
  // Output solution 
  sprintf(filename,"%s/soln.dat",doc_info.directory().c_str());
  some_file.open(filename);
  Bulk_mesh_pt->output(some_file,npts);
  some_file.close();
  
  // Output exact solution 
  sprintf(filename,"%s/exact_soln.dat",doc_info.directory().c_str());
  some_file.open(filename);
  Bulk_mesh_pt->output_fct(some_file,npts,
                           Global_Parameters::exact_solution); 
  some_file.close();
  
  // Doc error
  double error=0.0;
  double norm=0.0;
  sprintf(filename,"%s/error.dat",doc_info.directory().c_str());
  some_file.open(filename);
  Bulk_mesh_pt->compute_error(some_file,
                              Global_Parameters::exact_solution, 
                              error,norm);
  some_file.close();
  
 // Doc error norm:
  cout << "\nNorm of error    " << sqrt(error) << std::endl; 
  cout << "Norm of solution : " << sqrt(norm) << std::endl << std::endl;
  cout << std::endl;
  
  
 } // end_of_doc_solution   

References oomph::DocInfo::directory(), calibrate::error, Global_Parameters::exact_solution(), MergeRestartFiles::filename, and sqrt().

Member Data Documentation

◆ Bulk_mesh_pt

template<class ELEMENT >

TreeBasedRefineableMeshBase* RefineablePeriodicLoadProblem< ELEMENT >::Bulk_mesh_pt

private

Pointer to the (refineable!) bulk mesh.

◆ Surface_mesh_pt

template<class ELEMENT >

Mesh* RefineablePeriodicLoadProblem< ELEMENT >::Surface_mesh_pt

private

Pointer to the mesh of traction elements.

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

refineable_periodic_load.cc

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT> class RefineablePeriodicLoadProblem< ELEMENT >

Constructor & Destructor Documentation

◆ RefineablePeriodicLoadProblem()

Member Function Documentation

◆ actions_after_adapt()

◆ actions_after_newton_solve()

◆ actions_before_adapt()

◆ actions_before_newton_solve()

◆ assign_traction_elements()

◆ delete_traction_elements()

◆ doc_solution()

Member Data Documentation

◆ Bulk_mesh_pt

◆ Surface_mesh_pt

template<class ELEMENT>
class RefineablePeriodicLoadProblem< ELEMENT >