Annular disk. More...

Inheritance diagram for RingWithTRibProblem< ELASTICITY_ELEMENT >:

Public Member Functions
	RingWithTRibProblem ()
	Constructor: More...

void	actions_after_newton_solve ()
	Update function (empty) More...

void	actions_before_newton_solve ()
	Update function (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 ()
	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	create_traction_elements ()
	Create traction elements. More...

void	delete_traction_elements ()
	Delete traction elements. More...

void	complete_problem_setup ()
	Helper function to complete problem setup. More...

Private Attributes
TriangleMesh< ELASTICITY_ELEMENT > *	Solid_mesh_pt
	Pointer to solid mesh. More...

Mesh *	Traction_mesh_pt
	Pointer to mesh of traction elements. More...

DocInfo	Doc_info
	DocInfo object for output. More...

unsigned	Upper_symmetry_boundary_id
	Boundary ID of upper symmetry boundary. More...

unsigned	Lower_symmetry_boundary_id
	Boundary ID of lower symmetry boundary. More...

unsigned	Outer_boundary_id
	Boundary ID of outer boundary. 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 ELASTICITY_ELEMENT>
class RingWithTRibProblem< ELASTICITY_ELEMENT >

Annular disk.

Constructor & Destructor Documentation

◆ RingWithTRibProblem()

template<class ELASTICITY_ELEMENT >

RingWithTRibProblem< ELASTICITY_ELEMENT >::RingWithTRibProblem

Constructor:

 {
  
  // Solid mesh
  //-----------
  
  // Start and end coordinates
  Vector<double> r_start(2);
  Vector<double> r_end(2);
  
  // Outer radius of hull
  double r_outer = 1.0;
  
  // Inner radius of hull
  double r_inner = r_outer-Global_Parameters::H_annulus;
  
  // Thickness of rib
  double rib_thick=0.05;
  
  // Depth of rib
  double rib_depth=0.2;
  
  // Total width of T
  double t_width=0.2;
  
  // Thickness of T
  double t_thick=0.05;
  
  // Half-opening angle of rib
  double half_phi_rib=asin(0.5*rib_thick/r_inner);
  
  // Pointer to the closed curve that defines the outer boundary
  TriangleMeshClosedCurve* closed_curve_pt=0;
  
  // Provide storage for pointers to the parts of the curvilinear boundary
  Vector<TriangleMeshCurveSection*> curvilinear_boundary_pt;
  
  // Outer boundary
  //---------------
  Ellipse* outer_boundary_circle_pt = new Ellipse(r_outer,r_outer);
  double zeta_start=-0.5*MathematicalConstants::Pi;
  double zeta_end=0.5*MathematicalConstants::Pi;
  unsigned nsegment=50;
  unsigned boundary_id=curvilinear_boundary_pt.size();
  curvilinear_boundary_pt.push_back(
   new TriangleMeshCurviLine(
    outer_boundary_circle_pt,zeta_start,zeta_end,nsegment,boundary_id));
  
  // Remember it
  Outer_boundary_id=boundary_id;
  
  
  // Upper straight line segment on symmetry axis
  //---------------------------------------------
  r_start[0]=0.0;
  r_start[1]=r_outer;
  r_end[0]=0.0;
  r_end[1]=r_inner;
  MyStraightLine* upper_sym_pt = new MyStraightLine(r_start,r_end);
  zeta_start=0.0;
  zeta_end=1.0;
  nsegment=1;
  boundary_id=curvilinear_boundary_pt.size();
  curvilinear_boundary_pt.push_back(
   new TriangleMeshCurviLine(
    upper_sym_pt,zeta_start,zeta_end,nsegment,boundary_id));
                                                         
  // Remember it
  Upper_symmetry_boundary_id=boundary_id;
  
  // Upper part of inner boundary
  //-----------------------------
  Ellipse* upper_inner_boundary_pt = 
   new Ellipse(r_inner,r_inner);
  zeta_start=0.5*MathematicalConstants::Pi;
  zeta_end=half_phi_rib;
  nsegment=20;
  boundary_id=curvilinear_boundary_pt.size();
  curvilinear_boundary_pt.push_back(
   new TriangleMeshCurviLine(
    upper_inner_boundary_pt,
    zeta_start,zeta_end,nsegment,boundary_id));
  
  // Upper half of inward rib
  //-------------------------
  r_start[0]=r_inner*cos(half_phi_rib);
  r_start[1]=r_inner*sin(half_phi_rib);
  r_end[0]=r_start[0]-rib_depth;
  r_end[1]=r_start[1];
  MyStraightLine* upper_inward_rib_pt = new MyStraightLine(r_start,r_end);
  zeta_start=0.0;
  zeta_end=1.0;
  nsegment=1;
  boundary_id=curvilinear_boundary_pt.size();
  TriangleMeshCurviLine* upper_inward_rib_curviline_pt=
   new TriangleMeshCurviLine(
    upper_inward_rib_pt,zeta_start,zeta_end,nsegment,boundary_id);
  curvilinear_boundary_pt.push_back(upper_inward_rib_curviline_pt);
  
  // Vertical upper bit of T
  //------------------------
  r_start[0]=r_end[0];
  r_start[1]=r_end[1];
  r_end[0]=r_start[0];
  r_end[1]=r_start[1]+0.5*(t_width-rib_thick);
  MyStraightLine* vertical_upper_t_rib_pt = new MyStraightLine(r_start,r_end);
  zeta_start=0.0;
  zeta_end=1.0;
  nsegment=1;
  boundary_id=curvilinear_boundary_pt.size();
  curvilinear_boundary_pt.push_back(
   new TriangleMeshCurviLine(
    vertical_upper_t_rib_pt,zeta_start,zeta_end,nsegment,boundary_id));
  
  
  // Horizontal upper bit of T
  //-----------==-------------
  r_start[0]=r_end[0];
  r_start[1]=r_end[1];
  r_end[0]=r_start[0]-t_thick;
  r_end[1]=r_start[1];
  MyStraightLine* horizontal_upper_t_rib_pt = new MyStraightLine(r_start,r_end);
  zeta_start=0.0;
  zeta_end=1.0;
  nsegment=1;
  boundary_id=curvilinear_boundary_pt.size();
  curvilinear_boundary_pt.push_back(
   new TriangleMeshCurviLine(
    horizontal_upper_t_rib_pt,zeta_start,zeta_end,nsegment,boundary_id));
  
  // Vertical end of rib end
  //------------------------
  r_start[0]=r_end[0];
  r_start[1]=r_end[1];
  r_end[0]=r_start[0];
  r_end[1]=-r_start[1];
  MyStraightLine* inner_vertical_rib_pt = new MyStraightLine(r_start,r_end);
  zeta_start=0.0;
  zeta_end=1.0;
  nsegment=1;
  boundary_id=curvilinear_boundary_pt.size();
  curvilinear_boundary_pt.push_back(
   new TriangleMeshCurviLine(
    inner_vertical_rib_pt,zeta_start,zeta_end,nsegment,boundary_id));
  
  
  // Horizontal lower bit of T
  //-----------==-------------
  r_start[0]=r_end[0];
  r_start[1]=r_end[1];
  r_end[0]=r_start[0]+t_thick;
  r_end[1]=r_start[1];
  MyStraightLine* horizontal_lower_t_rib_pt = new MyStraightLine(r_start,r_end);
  zeta_start=0.0;
  zeta_end=1.0;
  nsegment=1;
  boundary_id=curvilinear_boundary_pt.size();
  curvilinear_boundary_pt.push_back(
   new TriangleMeshCurviLine(
    horizontal_lower_t_rib_pt,zeta_start,zeta_end,nsegment,boundary_id));
  
  
  // Vertical lower bit of T
  //------------------------
  r_start[0]=r_end[0];
  r_start[1]=r_end[1];
  r_end[0]=r_start[0];
  r_end[1]=r_start[1]+0.5*(t_width-rib_thick);
  MyStraightLine* vertical_lower_t_rib_pt = new MyStraightLine(r_start,r_end);
  zeta_start=0.0;
  zeta_end=1.0;
  nsegment=1;
  boundary_id=curvilinear_boundary_pt.size();
  curvilinear_boundary_pt.push_back(
   new TriangleMeshCurviLine(
    vertical_lower_t_rib_pt,zeta_start,zeta_end,nsegment,boundary_id));
  
  
  // Lower half of inward rib
  //-------------------------
  r_end[0]=r_inner*cos(half_phi_rib);
  r_end[1]=-r_inner*sin(half_phi_rib);
  r_start[0]=r_end[0]-rib_depth;
  r_start[1]=r_end[1];
  MyStraightLine* lower_inward_rib_pt = new MyStraightLine(r_start,r_end);
  zeta_start=0.0;
  zeta_end=1.0;
  nsegment=1;
  boundary_id=curvilinear_boundary_pt.size();
  TriangleMeshCurviLine* lower_inward_rib_curviline_pt=
   new TriangleMeshCurviLine(
    lower_inward_rib_pt,zeta_start,zeta_end,nsegment,boundary_id);
  curvilinear_boundary_pt.push_back(lower_inward_rib_curviline_pt);
  
  
  // Lower part of inner boundary
  //-----------------------------
  Ellipse* lower_inner_boundary_circle_pt = new Ellipse(r_inner,r_inner);
  zeta_start=-half_phi_rib;
  zeta_end=-0.5*MathematicalConstants::Pi;
  nsegment=20;
  boundary_id=curvilinear_boundary_pt.size();
  curvilinear_boundary_pt.push_back(
   new TriangleMeshCurviLine(
    lower_inner_boundary_circle_pt,zeta_start,zeta_end,nsegment,boundary_id));
  
  
  // Lower straight line segment on symmetry axis
  //---------------------------------------------
  r_start[0]=0.0;
  r_start[1]=-r_inner;
  r_end[0]=0.0;
  r_end[1]=-r_outer;
  MyStraightLine* lower_sym_pt = new MyStraightLine(r_start,r_end);
  zeta_start=0.0;
  zeta_end=1.0;
  nsegment=1;
  boundary_id=curvilinear_boundary_pt.size();
  curvilinear_boundary_pt.push_back(
   new TriangleMeshCurviLine(
    lower_sym_pt,zeta_start,zeta_end,nsegment,boundary_id));
       
  // Remember it
  Lower_symmetry_boundary_id=boundary_id;
  
  // Combine to curvilinear boundary
  //--------------------------------
  closed_curve_pt=
   new TriangleMeshClosedCurve(curvilinear_boundary_pt); 
  
   // Vertical dividing line across base of T-rib
  //--------------------------------------------
  Vector<TriangleMeshCurveSection*> internal_polyline_pt(1);
  r_start[0]=r_inner*cos(half_phi_rib);
  r_start[1]=r_inner*sin(half_phi_rib);
  r_end[0]=r_inner*cos(half_phi_rib);
  r_end[1]=-r_inner*sin(half_phi_rib);
  
  Vector<Vector<double> > boundary_vertices(2);
  boundary_vertices[0]=r_start;
  boundary_vertices[1]=r_end;
  boundary_id=100;
  TriangleMeshPolyLine* rib_divider_pt=
   new TriangleMeshPolyLine(boundary_vertices,boundary_id); 
  internal_polyline_pt[0]=rib_divider_pt;
  
  // Make connection
  double s_connect=0.0;
  internal_polyline_pt[0]->connect_initial_vertex_to_curviline(
   upper_inward_rib_curviline_pt,s_connect);
  
  // Make connection
  s_connect=1.0;
  internal_polyline_pt[0]->connect_final_vertex_to_curviline(
   lower_inward_rib_curviline_pt,s_connect);
  
  // Create open curve that defines internal bondary
  Vector<TriangleMeshOpenCurve*> inner_boundary_pt;
  inner_boundary_pt.push_back(new TriangleMeshOpenCurve(internal_polyline_pt));
  
  // Define coordinates of a point inside the rib
  Vector<double> rib_center(2);
  rib_center[0]=r_inner-rib_depth;
  rib_center[1]=0.0;
  
  // Now build the mesh
  //===================
  
  
  // Use the TriangleMeshParameters object for helping on the manage of the
  // TriangleMesh parameters. The only parameter that needs to take is the
  // outer boundary.
  TriangleMeshParameters triangle_mesh_parameters(closed_curve_pt);
  
  // Target area
  triangle_mesh_parameters.element_area()=0.2;
  
  // Specify the internal open boundary
  triangle_mesh_parameters.internal_open_curves_pt()=inner_boundary_pt;
  
  // Define the region
  triangle_mesh_parameters.add_region_coordinates(1,rib_center);
  
 #ifdef ADAPTIVE
  
  // Build the mesh
  Solid_mesh_pt=new 
   RefineableTriangleMesh<ELASTICITY_ELEMENT>(triangle_mesh_parameters);
  
  // Set error estimator
  Solid_mesh_pt->spatial_error_estimator_pt()=new Z2ErrorEstimator;
  
 #else
  
  // Build the mesh
  Solid_mesh_pt=new 
   TriangleMesh<ELASTICITY_ELEMENT>(triangle_mesh_parameters);
  
 #endif
  
  
  // Let's have a look where the boundaries are
  Solid_mesh_pt->output("solid_mesh.dat");
  Solid_mesh_pt->output_boundaries("solid_mesh_boundary.dat");
  
  // Construct the traction element mesh
  Traction_mesh_pt=new Mesh;
  create_traction_elements(); 
  
  // Solid mesh is first sub-mesh
  add_sub_mesh(Solid_mesh_pt);
  
  // Add traction sub-mesh
  add_sub_mesh(Traction_mesh_pt);
  
  // Build combined "global" mesh
  build_global_mesh();
  
  // Create elasticity tensors
  Global_Parameters::E_pt.resize(2);
  Global_Parameters::E_pt[0]=new TimeHarmonicIsotropicElasticityTensor(
     Global_Parameters::Nu);
  Global_Parameters::E_pt[1]=new TimeHarmonicIsotropicElasticityTensor(
   Global_Parameters::Nu);
  
  // Complete problem setup
  complete_problem_setup();
  
  //Assign equation numbers
  cout << assign_eqn_numbers() << std::endl; 
  
  // Set output directory
  Doc_info.set_directory(Global_Parameters::Directory);
  
 } //end_of_constructor

References oomph::TriangleMeshParameters::add_region_coordinates(), Eigen::bfloat16_impl::asin(), cos(), Global_Parameters::Directory, GlobalParameters::Doc_info, Global_Parameters::E_pt, oomph::TriangleMeshParameters::element_area(), Global_Parameters::H_annulus, oomph::TriangleMeshParameters::internal_open_curves_pt(), Global_Parameters::Nu, BiharmonicTestFunctions2::Pi, oomph::DocInfo::set_directory(), and sin().

Member Function Documentation

◆ actions_after_adapt()

template<class ELASTICITY_ELEMENT >

void RingWithTRibProblem< ELASTICITY_ELEMENT >::actions_after_adapt

virtual

Actions after adapt: Rebuild the mesh of traction elements.

Reimplemented from oomph::Problem.

 {
  // Create traction elements from all elements that are 
  // adjacent to FSI boundaries and add them to surface meshes
  create_traction_elements();
  
  // Rebuild the Problem's global mesh from its various sub-meshes
  rebuild_global_mesh();
  
  // Complete problem setup
  complete_problem_setup();   
  
 }// end of actions_after_adapt

◆ actions_after_newton_solve()

template<class ELASTICITY_ELEMENT >

void RingWithTRibProblem< ELASTICITY_ELEMENT >::actions_after_newton_solve ( )

inlinevirtual

Update function (empty)

Reimplemented from oomph::Problem.

164 {}

◆ actions_before_adapt()

template<class ELASTICITY_ELEMENT >

void RingWithTRibProblem< ELASTICITY_ELEMENT >::actions_before_adapt

virtual

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();
  
 }// end of actions_before_adapt

◆ actions_before_newton_solve()

template<class ELASTICITY_ELEMENT >

void RingWithTRibProblem< ELASTICITY_ELEMENT >::actions_before_newton_solve ( )

inlinevirtual

Update function (empty)

Reimplemented from oomph::Problem.

167 {}

◆ complete_problem_setup()

template<class ELASTICITY_ELEMENT >

void RingWithTRibProblem< ELASTICITY_ELEMENT >::complete_problem_setup

private

Helper function to complete problem setup.

Complete problem setup.

 {
  
 #ifdef ADAPTIVE
  
  // Min element size allowed during adaptation
  if (!CommandLineArgs::command_line_flag_has_been_set("--validation"))
   {   
    Solid_mesh_pt->min_element_size()=1.0e-5;
   }
  
 #endif
  
  //Assign the physical properties to the elements
  //----------------------------------------------
  unsigned nreg=Solid_mesh_pt->nregion();
  for (unsigned r=0;r<nreg;r++)
   {
    unsigned nel=Solid_mesh_pt->nregion_element(r);
    for (unsigned e=0;e<nel;e++)
     {     
      //Cast to a solid element
      ELASTICITY_ELEMENT *el_pt = 
       dynamic_cast<ELASTICITY_ELEMENT*>(Solid_mesh_pt->region_element_pt(r,e));
  
      // Set the constitutive law
      el_pt->elasticity_tensor_pt() = Global_Parameters::E_pt[r];
  
      // Square of non-dim frequency
      el_pt->omega_sq_pt()= &Global_Parameters::Omega_sq_region[r];
     }
   }                         
  
  
  // Solid boundary conditions:
  //---------------------------
  // Pin real and imag part of horizontal displacement components 
  //-------------------------------------------------------------
  // on vertical boundaries
  //-----------------------
  {  
   //Loop over the nodes to pin and assign boundary displacements on 
   //solid boundary
   unsigned n_node = Solid_mesh_pt->nboundary_node(Upper_symmetry_boundary_id);
   for(unsigned i=0;i<n_node;i++)
    {
     Node* nod_pt=Solid_mesh_pt->boundary_node_pt(Upper_symmetry_boundary_id,i);
     
     // Real part of x-displacement 
     nod_pt->pin(0);
     nod_pt->set_value(0,0.0);
     
     // Imag part of x-displacement
     nod_pt->pin(2);
     nod_pt->set_value(2,0.0);
    }
  }
  {
   //Loop over the nodes to pin and assign boundary displacements on 
   //solid boundary
   unsigned n_node = Solid_mesh_pt->nboundary_node(Lower_symmetry_boundary_id);
   for(unsigned i=0;i<n_node;i++)
    {
     Node* nod_pt=Solid_mesh_pt->boundary_node_pt(Lower_symmetry_boundary_id,i);
  
     // Real part of x-displacement 
     nod_pt->pin(0);
     nod_pt->set_value(0,0.0);
     
     // Imag part of x-displacement
     nod_pt->pin(2);
     nod_pt->set_value(2,0.0);
    }
  }
 }

References oomph::CommandLineArgs::command_line_flag_has_been_set(), e(), Global_Parameters::E_pt, i, Global_Parameters::Omega_sq_region, oomph::Data::pin(), UniformPSDSelfTest::r, and oomph::Data::set_value().

◆ create_traction_elements()

template<class ELASTICITY_ELEMENT >

void RingWithTRibProblem< ELASTICITY_ELEMENT >::create_traction_elements

private

Create traction elements.

 {
  
  unsigned b=Outer_boundary_id;
  {
   // How many bulk elements are adjacent to boundary b?
   unsigned n_element = Solid_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
     ELASTICITY_ELEMENT* bulk_elem_pt = dynamic_cast<ELASTICITY_ELEMENT*>(
      Solid_mesh_pt->boundary_element_pt(b,e));
     
     //Find the index of the face of element e along boundary b
     int face_index = Solid_mesh_pt->face_index_at_boundary(b,e);
     
     // Create element
     TimeHarmonicLinearElasticityTractionElement<ELASTICITY_ELEMENT>* el_pt=
      new TimeHarmonicLinearElasticityTractionElement<ELASTICITY_ELEMENT>
      (bulk_elem_pt,face_index);   
     
     // Add to mesh
     Traction_mesh_pt->add_element_pt(el_pt);
     
     // Associate element with bulk boundary (to allow it to access
     // the boundary coordinates in the bulk mesh)
     el_pt->set_boundary_number_in_bulk_mesh(b); 
     
     //Set the traction function
     el_pt->traction_fct_pt() = Global_Parameters::pressure_load;
     
    }
  }
  
 } // end_of_create_traction_elements

References b, e(), Global_Parameters::pressure_load(), oomph::FaceElement::set_boundary_number_in_bulk_mesh(), and oomph::TimeHarmonicLinearElasticityTractionElement< ELEMENT >::traction_fct_pt.

◆ delete_traction_elements()

template<class ELASTICITY_ELEMENT >

void RingWithTRibProblem< ELASTICITY_ELEMENT >::delete_traction_elements

private

Delete traction elements.

Delete traction elements and wipe the traction meshes.

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

References e().

◆ doc_solution()

template<class ELASTICITY_ELEMENT >

void RingWithTRibProblem< ELASTICITY_ELEMENT >::doc_solution

Doc the solution.

 {
  
  ofstream some_file;
  char filename[100];
  
  // Number of plot points
  unsigned n_plot=5; 
  
  // Output displacement field
  //--------------------------
  sprintf(filename,"%s/elast_soln%i.dat",Doc_info.directory().c_str(),
          Doc_info.number());
  some_file.open(filename);
  Solid_mesh_pt->output(some_file,n_plot);
  some_file.close();
  
  // Output traction elements
  //-------------------------
  sprintf(filename,"%s/traction_soln%i.dat",Doc_info.directory().c_str(),
          Doc_info.number());
  some_file.open(filename);
  Traction_mesh_pt->output(some_file,n_plot);
  some_file.close();
  
  // Output regions
  //---------------
  unsigned nreg=Solid_mesh_pt->nregion();
  for (unsigned r=0;r<nreg;r++)
   {
    sprintf(filename,"%s/region%i_%i.dat",Doc_info.directory().c_str(),
            r,Doc_info.number());   
    some_file.open(filename);   
    unsigned nel=Solid_mesh_pt->nregion_element(r);
    for (unsigned e=0;e<nel;e++)
     {     
      FiniteElement* el_pt=Solid_mesh_pt->region_element_pt(r,e);
      el_pt->output(some_file,n_plot);
     }
    some_file.close();
   }
  
  // Output norm of solution (to allow validation of solution even
  // if triangle generates a slightly different mesh)
  sprintf(filename,"%s/norm%i.dat",Doc_info.directory().c_str(),
          Doc_info.number());   
  some_file.open(filename);   
  double norm=0.0;
  unsigned nel=Solid_mesh_pt->nelement();
  for (unsigned e=0;e<nel;e++)
   {
    double el_norm=0.0;
    Solid_mesh_pt->compute_norm(el_norm);
    norm+=el_norm;
   }
  some_file << norm << std::endl;
  
  // Increment label for output files
  Doc_info.number()++;
  
 } //end doc

References oomph::DocInfo::directory(), GlobalParameters::Doc_info, e(), MergeRestartFiles::filename, oomph::DocInfo::number(), oomph::FiniteElement::output(), and UniformPSDSelfTest::r.

Member Data Documentation

◆ Doc_info

template<class ELASTICITY_ELEMENT >

DocInfo RingWithTRibProblem< ELASTICITY_ELEMENT >::Doc_info

private

DocInfo object for output.

◆ Lower_symmetry_boundary_id

template<class ELASTICITY_ELEMENT >

unsigned RingWithTRibProblem< ELASTICITY_ELEMENT >::Lower_symmetry_boundary_id

private

Boundary ID of lower symmetry boundary.

◆ Outer_boundary_id

template<class ELASTICITY_ELEMENT >

unsigned RingWithTRibProblem< ELASTICITY_ELEMENT >::Outer_boundary_id

private

Boundary ID of outer boundary.

◆ Solid_mesh_pt

template<class ELASTICITY_ELEMENT >

TriangleMesh<ELASTICITY_ELEMENT>* RingWithTRibProblem< ELASTICITY_ELEMENT >::Solid_mesh_pt

private

Pointer to solid mesh.

◆ Traction_mesh_pt

template<class ELASTICITY_ELEMENT >

Mesh* RingWithTRibProblem< ELASTICITY_ELEMENT >::Traction_mesh_pt

private

Pointer to mesh of traction elements.

◆ Upper_symmetry_boundary_id

template<class ELASTICITY_ELEMENT >

unsigned RingWithTRibProblem< ELASTICITY_ELEMENT >::Upper_symmetry_boundary_id

private

Boundary ID of upper symmetry boundary.

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

unstructured_time_harmonic_elastic_annulus.cc

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class ELASTICITY_ELEMENT> class RingWithTRibProblem< ELASTICITY_ELEMENT >

Constructor & Destructor Documentation

◆ RingWithTRibProblem()

Member Function Documentation

◆ actions_after_adapt()

◆ actions_after_newton_solve()

◆ actions_before_adapt()

◆ actions_before_newton_solve()

◆ complete_problem_setup()

◆ create_traction_elements()

◆ delete_traction_elements()

◆ doc_solution()

Member Data Documentation

◆ Doc_info

◆ Lower_symmetry_boundary_id

◆ Outer_boundary_id

◆ Solid_mesh_pt

◆ Traction_mesh_pt

◆ Upper_symmetry_boundary_id

template<class ELASTICITY_ELEMENT>
class RingWithTRibProblem< ELASTICITY_ELEMENT >