Inheritance diagram for AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >:

Public Member Functions
	AxisymmetricLinearElasticityProblem ()

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_implicit_timestep ()
	Actions before implicit timestep. More...

void	set_initial_conditions ()
	Set the initial conditions (history values) More...

void	set_boundary_conditions ()
	Set the boundary conditions. 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

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	assign_traction_elements ()
	Allocate traction elements on the bottom surface. More...

Private Attributes
Mesh *	Bulk_mesh_pt
	Pointer to the 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_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 TIMESTEPPER>
class AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >

Class to validate time harmonic linear elasticity (Fourier decomposed)

Constructor & Destructor Documentation

◆ AxisymmetricLinearElasticityProblem()

template<class ELEMENT , class TIMESTEPPER >

AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >::AxisymmetricLinearElasticityProblem

Constructor: Pass number of elements in r and z directions, boundary locations and whether we are doing an impulsive start or not

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

 {
  //Allocate the timestepper
  add_time_stepper_pt(new TIMESTEPPER());
  
  //Now create the mesh
  Bulk_mesh_pt = new RectangularQuadMesh<ELEMENT>(
    Global_Parameters::Nr,
    Global_Parameters::Nz,
    Global_Parameters::Rmin,
    Global_Parameters::Rmax,
    Global_Parameters::Zmin,
    Global_Parameters::Zmax,
    time_stepper_pt());
  
  //Create the surface mesh of traction elements
  Surface_mesh_pt=new Mesh;
  assign_traction_elements();
  
  //Set the boundary conditions
  set_boundary_conditions();
  
  // 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 body force
    el_pt->body_force_fct_pt() = &Global_Parameters::body_force;
  
    // Set the pointer to Poisson's ratio
    el_pt->nu_pt() = &Global_Parameters::Nu;
  
    // Set the pointer to non-dim Young's modulus
    el_pt->youngs_modulus_pt() = &Global_Parameters::E;
  
    // Set the pointer to the Lambda parameter
    el_pt->lambda_sq_pt() = &Global_Parameters::Omega_sq;
  
   }// end_loop_over_elements
  
  // Loop over the traction elements
  unsigned n_traction =  Surface_mesh_pt->nelement();
  for(unsigned e=0;e<n_traction;e++)
   {
    // Cast to a surface element
    AxisymmetricLinearElasticityTractionElement<ELEMENT>*
     el_pt = 
     dynamic_cast<AxisymmetricLinearElasticityTractionElement
     <ELEMENT>* >(Surface_mesh_pt->element_pt(e));
    
    // Set the applied traction
    el_pt->traction_fct_pt() = &Global_Parameters::boundary_traction;
    
   }// end_loop_over_traction_elements
  
  // 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; 
  
  
  //{ 
  // // Create animation
  // unsigned ntime=20;
  // double displ_r=0;
  // char filename[30];
  // unsigned n_node=Bulk_mesh_pt->nnode();
  // Node* nod_pt=0;
  
  // for (unsigned it=0;it<ntime;it++)
  //  {
  //   sprintf(filename,"animation%i.dat",it);
  //   Global_Parameters::Output_stream.open(filename);
  //   double t=(2*MathematicalConstants::Pi)*(double(it)/(ntime-1));
  //   std::cout << t << std::endl;
  //   
  //   // Loop over nodes of the mesh
  //   for(unsigned j=0;j<n_node;j++)
  //    {
  //     nod_pt=Bulk_mesh_pt->node_pt(j);
  //     Vector<double> x(2);
  //     x[0]=nod_pt->x(0);
  //     x[1]=nod_pt->x(1);
  
  //     displ_r = Global_Parameters::u_r(t,x);
  //     Global_Parameters::Output_stream << x[0] << ' ';
  //     Global_Parameters::Output_stream << x[1] << ' ';
  //     Global_Parameters::Output_stream << displ_r << std::endl;
  //    }
  //   Global_Parameters::Output_stream.close();
  //  }
  //} //end_of_animation
  
 } // end_of_constructor

References Global_Parameters::body_force(), Global_Parameters::boundary_traction(), e(), Global_Parameters::E, Global_Parameters::Nr, Global_Parameters::Nu, Global_Parameters::Nz, Global_Parameters::Omega_sq, Global_Parameters::Rmax, Global_Parameters::Rmin, oomph::AxisymmetricLinearElasticityTractionElement< ELEMENT >::traction_fct_pt, Global_Parameters::Zmax, and Global_Parameters::Zmin.

Member Function Documentation

◆ actions_after_newton_solve()

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update after solve is empty.

Reimplemented from oomph::Problem.

239 {}

◆ actions_before_implicit_timestep()

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Actions before implicit timestep.

Reimplemented from oomph::Problem.

   {
    // Just need to update the boundary conditions
    set_boundary_conditions();
   }

◆ actions_before_newton_solve()

template<class ELEMENT , class TIMESTEPPER >

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

inlinevirtual

Update before solve is empty.

Reimplemented from oomph::Problem.

236 {}

◆ assign_traction_elements()

template<class ELEMENT , class TIMESTEPPER >

void AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >::assign_traction_elements

private

Allocate traction elements on the bottom surface.

Make traction elements along the boundary r=Rmin.

 {
  unsigned bound, n_neigh;
  
  // How many bulk elements are next to boundary 3
  bound=3;
  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 AxisymmetricLinearElasticityTractionElement<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);
   }
  
 } // end of assign_traction_elements

References n.

◆ doc_solution()

template<class ELEMENT , class TIMESTEPPER >

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

Doc the solution.

 { 
  ofstream some_file;
  char filename[100];
  
  // Number of plot points
  unsigned npts=10; 
  
  // Output solution 
  sprintf(filename,"%s/soln%i.dat",doc_info.directory().c_str(),
    doc_info.number());
  some_file.open(filename);
  Bulk_mesh_pt->output(some_file,npts);
  some_file.close();
  
  // Output exact solution 
  sprintf(filename,"%s/exact_soln%i.dat",doc_info.directory().c_str(),
    doc_info.number());
  some_file.open(filename);
  Bulk_mesh_pt->output_fct(some_file,npts,time_pt()->time(),
                           Global_Parameters::exact_solution);
  some_file.close();
  
  // Doc error
  double error=0.0;
  double norm=0.0;
  sprintf(filename,"%s/error%i.dat",doc_info.directory().c_str(),
    doc_info.number());
  some_file.open(filename);
  Bulk_mesh_pt->compute_error(some_file,
                              Global_Parameters::exact_solution, 
                              time_pt()->time(),
                              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, oomph::DocInfo::number(), and sqrt().

◆ set_boundary_conditions()

template<class ELEMENT , class TIMESTEPPER >

void AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >::set_boundary_conditions

Set the boundary conditions.

 {
  // Set the boundary conditions for this problem: All nodes are
  // free by default -- just pin & set the ones that have Dirichlet 
  // conditions here
  
  // storage for nodal position
  Vector<double> x(2);
  
  // Storage for prescribed displacements
  Vector<double> u(9);
  
  // Storage for pointers to the functions defining the displacement,
  // velocity and acceleration components
  Vector<typename TIMESTEPPER::NodeInitialConditionFctPt>
   initial_value_fct(3);
  Vector<typename TIMESTEPPER::NodeInitialConditionFctPt>
   initial_veloc_fct(3);
  Vector<typename TIMESTEPPER::NodeInitialConditionFctPt>
   initial_accel_fct(3);
  
  // Set the displacement function pointers
  initial_value_fct[0]=&Global_Parameters::u_r;
  initial_value_fct[1]=&Global_Parameters::u_z;
  initial_value_fct[2]=&Global_Parameters::u_theta;
  
  // Set the velocity function pointers
  initial_veloc_fct[0]=&Global_Parameters::d_u_r_dt;
  initial_veloc_fct[1]=&Global_Parameters::d_u_z_dt;
  initial_veloc_fct[2]=&Global_Parameters::d_u_theta_dt;
  
  // Set the acceleration function pointers
  initial_accel_fct[0]=&Global_Parameters::d2_u_r_dt2;
  initial_accel_fct[1]=&Global_Parameters::d2_u_z_dt2;
  initial_accel_fct[2]=&Global_Parameters::d2_u_theta_dt2;
  
  
  // Now set displacements on boundaries 0 (z=Zmin),
  //------------------------------------------------
  // 1 (r=Rmax) and 2 (z=Zmax)
  //--------------------------
  for (unsigned ibound=0;ibound<=2;ibound++)
   {
    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 r, z and theta
      nod_pt->pin(0);nod_pt->pin(1);nod_pt->pin(2);
      
      // Direct assigment of just the current values...
      bool use_direct_assigment=true;
      if (use_direct_assigment)
       {
        // get r and z coordinates
        x[0]=nod_pt->x(0);
        x[1]=nod_pt->x(1);
        
        // Compute the value of the exact solution at the nodal point
        Global_Parameters::exact_solution(time_pt()->time(),x,u);
        
        // Set the displacements
        nod_pt->set_value(0,u[0]);
        nod_pt->set_value(1,u[1]);
        nod_pt->set_value(2,u[2]);
       }
      // ...or the history values too:
      else
       {
        // Upcast the timestepper to the specific type we have
        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_loop_over_boundary_nodes
 } // end_of_set_boundary_conditions

References Global_Parameters::d2_u_r_dt2(), Global_Parameters::d2_u_theta_dt2(), Global_Parameters::d2_u_z_dt2(), Global_Parameters::d_u_r_dt(), Global_Parameters::d_u_theta_dt(), Global_Parameters::d_u_z_dt(), Global_Parameters::exact_solution(), oomph::Data::pin(), oomph::Data::set_value(), Global_Parameters::u_r(), Global_Parameters::u_theta(), Global_Parameters::u_z(), plotDoE::x, and oomph::Node::x().

◆ set_initial_conditions()

template<class ELEMENT , class TIMESTEPPER >

void AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >::set_initial_conditions

Set the initial conditions (history values)

Set the initial conditions, either for an impulsive start or with history values for the time stepper

 {
  // Upcast the timestepper to the specific type we have
  TIMESTEPPER* timestepper_pt =
   dynamic_cast<TIMESTEPPER*>(time_stepper_pt());
  
  // By default do a non-impulsive start and provide initial conditions
  bool impulsive_start=false;
  
  if(impulsive_start)
   {
    // Number of nodes in the bulk mesh
    unsigned n_node = Bulk_mesh_pt->nnode();
  
    // Loop over all nodes in the bulk mesh
    for(unsigned inod=0;inod<n_node;inod++)
     {
      // Pointer to node
      Node* nod_pt = Bulk_mesh_pt->node_pt(inod);
  
      // Get nodal coordinates
      Vector<double> x(2);
      x[0] = nod_pt->x(0);
      x[1] = nod_pt->x(1);
  
      // Assign zero solution at t=0
      nod_pt->set_value(0,0);
      nod_pt->set_value(1,0);
      nod_pt->set_value(2,0);
  
      // Set the impulsive initial values in the timestepper
      timestepper_pt->assign_initial_values_impulsive(nod_pt);
     }
   } // end_of_impulsive_start
  else // Smooth start
   {
    // Storage for pointers to the functions defining the displacement,
    // velocity and acceleration components
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt>
     initial_value_fct(3);
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt>
     initial_veloc_fct(3);
    Vector<typename TIMESTEPPER::NodeInitialConditionFctPt>
     initial_accel_fct(3);
  
    // Set the displacement function pointers
    initial_value_fct[0]=&Global_Parameters::u_r;
    initial_value_fct[1]=&Global_Parameters::u_z;
    initial_value_fct[2]=&Global_Parameters::u_theta;
  
    // Set the velocity function pointers
    initial_veloc_fct[0]=&Global_Parameters::d_u_r_dt;
    initial_veloc_fct[1]=&Global_Parameters::d_u_z_dt;
    initial_veloc_fct[2]=&Global_Parameters::d_u_theta_dt;
  
    // Set the acceleration function pointers
    initial_accel_fct[0]=&Global_Parameters::d2_u_r_dt2;
    initial_accel_fct[1]=&Global_Parameters::d2_u_z_dt2;
    initial_accel_fct[2]=&Global_Parameters::d2_u_theta_dt2;
  
    // Number of nodes in the bulk mesh
    unsigned n_node = Bulk_mesh_pt->nnode();
  
    // Loop over all nodes in bulk mesh
    for(unsigned inod=0;inod<n_node;inod++)
     {
      // Pointer to node
      Node* nod_pt = Bulk_mesh_pt->node_pt(inod);
  
      // Assign the history values
      timestepper_pt->assign_initial_data_values(nod_pt,
                                                 initial_value_fct,
                                                 initial_veloc_fct,
                                                 initial_accel_fct);
     } // end_of_loop_over_nodes
  
    // Paranoid checking of history values
    double err_max=0.0;
  
    // Loop over all nodes in bulk mesh
    for(unsigned jnod=0;jnod<n_node;jnod++)
     {
      // Pointer to node
      Node* nod_pt=Bulk_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 displacements
      double u_r_exact=
       Global_Parameters::u_r(time_pt()->time(),x);
      double u_z_exact=
       Global_Parameters::u_z(time_pt()->time(),x);
      double u_theta_exact=
       Global_Parameters::u_theta(time_pt()->time(),x);
  
      // Get exact velocities
      double d_u_r_dt_exact=
       Global_Parameters::d_u_r_dt(time_pt()->time(),x);
      double d_u_z_dt_exact=
       Global_Parameters::d_u_z_dt(time_pt()->time(),x);
      double d_u_theta_dt_exact=
       Global_Parameters::d_u_theta_dt(time_pt()->time(),x);
  
      // Get exact accelerations
      double d2_u_r_dt2_exact=
       Global_Parameters::d2_u_r_dt2(time_pt()->time(),x);
      double d2_u_z_dt2_exact=
       Global_Parameters::d2_u_z_dt2(time_pt()->time(),x);
      double d2_u_theta_dt2_exact=
       Global_Parameters::d2_u_theta_dt2(time_pt()->time(),x);
  
      // Get Newmark approximations for:
      // zero-th time derivatives
      double u_r_fe=timestepper_pt->time_derivative(0,nod_pt,0);
      double u_z_fe=timestepper_pt->time_derivative(0,nod_pt,1);
      double u_theta_fe=timestepper_pt->time_derivative(0,nod_pt,2);
  
      // first time derivatives
      double d_u_r_dt_fe=timestepper_pt->time_derivative(1,nod_pt,0);
      double d_u_z_dt_fe=timestepper_pt->time_derivative(1,nod_pt,1);
      double d_u_theta_dt_fe=timestepper_pt->time_derivative(1,nod_pt,2);
  
      // second time derivatives
      double d2_u_r_dt2_fe=timestepper_pt->time_derivative(2,nod_pt,0);
      double d2_u_z_dt2_fe=timestepper_pt->time_derivative(2,nod_pt,1);
      double d2_u_theta_dt2_fe=timestepper_pt->time_derivative(2,nod_pt,2);
  
      // Calculate the error as the norm of all the differences between the
      // Newmark approximations and the 'exact' (numerical) expressions
      double error=sqrt(pow(u_r_exact-u_r_fe,2)+
                        pow(u_z_exact-u_z_fe,2)+
                        pow(u_theta_exact-u_theta_fe,2)+
                        pow(d_u_r_dt_exact-d_u_r_dt_fe,2)+
                        pow(d_u_z_dt_exact-d_u_z_dt_fe,2)+
                        pow(d_u_theta_dt_exact-d_u_theta_dt_fe,2)+
                        pow(d2_u_r_dt2_exact-d2_u_r_dt2_fe,2)+
                        pow(d2_u_z_dt2_exact-d2_u_z_dt2_fe,2)+
                        pow(d2_u_theta_dt2_exact-d2_u_theta_dt2_fe,2));
  
      // If there is an error greater than one previously seen, keep hold of it
      if(error>err_max)
       {
        err_max=error;
       }
     } // end of loop over nodes
    std::cout << "Max error in assignment of initial conditions "
              << err_max << std::endl;
   }
 } // end_of_set_initial_conditions

References Global_Parameters::d2_u_r_dt2(), Global_Parameters::d2_u_theta_dt2(), Global_Parameters::d2_u_z_dt2(), Global_Parameters::d_u_r_dt(), Global_Parameters::d_u_theta_dt(), Global_Parameters::d_u_z_dt(), calibrate::error, Eigen::bfloat16_impl::pow(), oomph::Data::set_value(), sqrt(), Global_Parameters::u_r(), Global_Parameters::u_theta(), Global_Parameters::u_z(), plotDoE::x, and oomph::Node::x().

Member Data Documentation

◆ Bulk_mesh_pt

template<class ELEMENT , class TIMESTEPPER >

Mesh* AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >::Bulk_mesh_pt

private

Pointer to the bulk mesh.

◆ Surface_mesh_pt

template<class ELEMENT , class TIMESTEPPER >

Mesh* AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >::Surface_mesh_pt

private

Pointer to the mesh of traction elements.

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

axisym_linear_elasticity/cylinder/cylinder.cc

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT, class TIMESTEPPER> class AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >

Constructor & Destructor Documentation

◆ AxisymmetricLinearElasticityProblem()

Member Function Documentation

◆ actions_after_newton_solve()

◆ actions_before_implicit_timestep()

◆ actions_before_newton_solve()

◆ assign_traction_elements()

◆ doc_solution()

◆ set_boundary_conditions()

◆ set_initial_conditions()

Member Data Documentation

◆ Bulk_mesh_pt

◆ Surface_mesh_pt

template<class ELEMENT, class TIMESTEPPER>
class AxisymmetricLinearElasticityProblem< ELEMENT, TIMESTEPPER >