UnsteadyHeatMeltProblem< ELEMENT > Class Template Reference

UnsteadyHeat problem. More...

+ Inheritance diagram for UnsteadyHeatMeltProblem< ELEMENT >:

Public Member Functions

 UnsteadyHeatMeltProblem ()
 Constructor. More...
 
 ~UnsteadyHeatMeltProblem ()
 Destructor (empty) More...
 
void actions_after_newton_solve ()
 Update the problem specs after solve (empty) More...
 
void actions_before_newton_solve ()
 Update the problem specs before solve (empty) More...
 
void actions_before_adapt ()
 Actions before adapt: wipe flux elements. More...
 
void actions_after_adapt ()
 
void doc_solution ()
 Doc the solution. More...
 
double global_temporal_error_norm ()
 Dummy global error norm for adaptive time-stepping. 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_flux_elements ()
 Create flux elements. More...
 
void delete_flux_elements ()
 Delete flux elements. More...
 
void complete_problem_setup ()
 

Private Attributes

RefineableSolidTriangleMesh< ELEMENT > * Bulk_mesh_pt
 Pointers to specific mesh. More...
 
Mesh * Surface_melt_mesh_pt
 Pointer to the "surface" mesh. More...
 
unsigned Melt_boundary_id
 ID of melt boundary. More...
 
unsigned Bottom_boundary_id
 ID of bottom boundary. More...
 
unsigned Left_boundary_id
 ID of left boundary. More...
 
unsigned Right_boundary_id
 ID of right boundary. More...
 
ofstream Trace_file
 Trace file. More...
 
DocInfo Doc_info
 
BackupMeshForProjection< TElement< 1, 3 > > * Backed_up_surface_melt_mesh_pt
 

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 ()
 
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 UnsteadyHeatMeltProblem< ELEMENT >

UnsteadyHeat problem.

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

Constructor & Destructor Documentation

◆ UnsteadyHeatMeltProblem()

template<class ELEMENT >
UnsteadyHeatMeltProblem< ELEMENT >::UnsteadyHeatMeltProblem

Constructor.

Constructor for UnsteadyHeat problem in square domain.

456 {
457 
458  // Output directory
459  Doc_info.set_directory("RESLT");
460 
461  // Output number
462  Doc_info.number()=0;
463 
464  // Open trace file
465  Trace_file.open("RESLT/trace.dat");
466 
467  // Allow for crap initial guess
468  Problem::Max_residuals=10000.0;
470 
471  // Allocate the timestepper -- this constructs the Problem's
472  // time object with a sufficient amount of storage to store the
473  // previous timsteps.
475 
476  // Pointer to the closed curve that defines the outer boundary
477  TriangleMeshClosedCurve* closed_curve_pt=0;
478 
479  // Build outer boundary as Polygon
480 
481  // The boundary is bounded by five distinct boundaries, each
482  // represented by its own polyline
483  Vector<TriangleMeshCurveSection*> boundary_polyline_pt(4);
484 
485  // Vertex coordinates on boundary
486  Vector<Vector<double> > bound_coords(2);
487 
488  // Left boundary
489  bound_coords[0].resize(2);
490  bound_coords[0][0]=0.0;
491  bound_coords[0][1]=1.0;
492 
493  bound_coords[1].resize(2);
494  bound_coords[1][0]=0.0;
495  bound_coords[1][1]=0.0;
496 
497  // Build the boundary polyline
499  boundary_polyline_pt[0]=new TriangleMeshPolyLine(bound_coords,
501 
502  // Bottom boundary
503  bound_coords[0].resize(2);
504  bound_coords[0][0]=0.0;
505  bound_coords[0][1]=0.0;
506 
507  bound_coords[1].resize(2);
508  bound_coords[1][0]=1.0;
509  bound_coords[1][1]=0.0;
510 
511  // Build the boundary polyline
513  boundary_polyline_pt[1]=new TriangleMeshPolyLine(bound_coords,
515 
516 
517  // Right boundary
518  bound_coords[0].resize(2);
519  bound_coords[0][0]=1.0;
520  bound_coords[0][1]=0.0;
521 
522  bound_coords[1].resize(2);
523  bound_coords[1][0]=1.0;
524  bound_coords[1][1]=1.0;
525 
526  // Build the boundary polyline
528  boundary_polyline_pt[2]=new TriangleMeshPolyLine(bound_coords,
530 
531  // Flux boundary
532  bound_coords[0].resize(2);
533  bound_coords[0][0]=1.0;
534  bound_coords[0][1]=1.0;
535 
536  bound_coords[1].resize(2);
537  bound_coords[1][0]=0.0;
538  bound_coords[1][1]=1.0;
539 
540  // Build boundary poly line
542  boundary_polyline_pt[3]=new TriangleMeshPolyLine(bound_coords,
544 
545  // Create the triangle mesh polygon for outer boundary
546  //----------------------------------------------------
547  TriangleMeshPolygon *outer_polygon =
548  new TriangleMeshPolygon(boundary_polyline_pt);
549 
550  // Set the pointer
551  closed_curve_pt = outer_polygon;
552 
553  // Now build the mesh
554  //===================
555 
556  // Use the TriangleMeshParameters object for helping on the manage of the
557  // TriangleMesh parameters
558  TriangleMeshParameters triangle_mesh_parameters(closed_curve_pt);
559 
560  // Specify the maximum area element
561  double uniform_element_area=0.002;
562  triangle_mesh_parameters.element_area() = uniform_element_area;
563 
564  // Create the mesh
565  Bulk_mesh_pt=new RefineableSolidTriangleMesh<ELEMENT>(triangle_mesh_parameters,
566  time_stepper_pt());
567 
568  // Set error estimator for bulk mesh
570  Bulk_mesh_pt->spatial_error_estimator_pt()=error_estimator_pt;
571 
572  // Set element size limits
573  Bulk_mesh_pt->max_element_size()=0.2;
574  Bulk_mesh_pt->min_element_size()=0.0002; // hierher 0.002;
575 
576 
577  // Create the surface mesh as an empty mesh
579 
580  // Build 'em
582 
583  // Set boundary condition and complete the build of all elements
585 
586  // Add the two sub meshes to the problem
589 
590  // Combine all submeshes into a single global Mesh
592 
593  // Set the initial conditions
594  unsigned nnod = Bulk_mesh_pt->nnode();
595  for(unsigned j=0;j<nnod;j++)
596  {
597  Bulk_mesh_pt->node_pt(j)->set_value(0,ExactSolution::U0);
598  }
599 
600  // Do equation numbering
601  cout <<"Number of equations: " << assign_eqn_numbers() << std::endl;
602 
603 } // end of constructor
RefineableSolidTriangleMesh< ELEMENT > * Bulk_mesh_pt
Pointers to specific mesh.
Definition: melt.cc:420
ofstream Trace_file
Trace file.
Definition: melt.cc:438
unsigned Right_boundary_id
ID of right boundary.
Definition: melt.cc:435
Mesh * Surface_melt_mesh_pt
Pointer to the "surface" mesh.
Definition: melt.cc:423
unsigned Melt_boundary_id
ID of melt boundary.
Definition: melt.cc:426
void complete_problem_setup()
Definition: melt.cc:309
unsigned Left_boundary_id
ID of left boundary.
Definition: melt.cc:432
unsigned Bottom_boundary_id
ID of bottom boundary.
Definition: melt.cc:429
void create_flux_elements()
Create flux elements.
Definition: melt.cc:261
DocInfo Doc_info
Definition: melt.cc:441
void set_directory(const std::string &directory)
Definition: oomph_utilities.cc:298
unsigned & number()
Number used (e.g.) for labeling output files.
Definition: oomph_utilities.h:554
Definition: mesh.h:67
void add_time_stepper_pt(TimeStepper *const &time_stepper_pt)
Definition: problem.cc:1545
unsigned add_sub_mesh(Mesh *const &mesh_pt)
Definition: problem.h:1330
void build_global_mesh()
Definition: problem.cc:1493
unsigned long assign_eqn_numbers(const bool &assign_local_eqn_numbers=true)
Definition: problem.cc:1989
TimeStepper *& time_stepper_pt()
Definition: problem.h:1524
Base class defining a closed curve for the Triangle mesh generation.
Definition: unstructured_two_d_mesh_geometry_base.h:1339
Definition: triangle_mesh.template.h:94
Class defining a polyline for use in Triangle Mesh generation.
Definition: unstructured_two_d_mesh_geometry_base.h:868
Class defining a closed polygon for the Triangle mesh generation.
Definition: unstructured_two_d_mesh_geometry_base.h:1451
Definition: oomph-lib/src/generic/Vector.h:58
Definition: error_estimator.h:266
double U0
Constant/initial temperature.
Definition: circular_boulder_melt.cc:99
Z2ErrorEstimator * error_estimator_pt
Definition: MortaringCantileverCompareToNonMortaring.cpp:190
unsigned Max_newton_iterations
Maximum number of newton iterations.
Definition: elements.cc:1654
std::ptrdiff_t j
Definition: tut_arithmetic_redux_minmax.cpp:2

References GlobalParameters::Doc_info, oomph::TriangleMeshParameters::element_area(), MeshRefinement::error_estimator_pt, j, oomph::Locate_zeta_helpers::Max_newton_iterations, oomph::DocInfo::number(), oomph::DocInfo::set_directory(), oomph::Problem_Parameter::Trace_file, and ExactSolution::U0.

◆ ~UnsteadyHeatMeltProblem()

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

Destructor (empty)

194 {}

Member Function Documentation

◆ actions_after_adapt()

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

Actions after adapt: Setup the problem again – remember that the mesh has been completely rebuilt and its element's don't have any pointers to source fcts etc. yet

Reimplemented from oomph::Problem.

221  {
222  // Create flux elements
224 
225  // Rebuild the Problem's global mesh from its various sub-meshes
227 
228  // Rebuild elements
230 
231  // Now project from backup of original contact mesh to new one
234 
235  // Wipe Lagrange multiplier pressure
236  unsigned n_element=Surface_melt_mesh_pt->nelement();
237  for (unsigned e=0;e<n_element;e++)
238  {
240  dynamic_cast<SurfaceMeltElement<ELEMENT>*>(
243  }
244 
245  // Kill backed up mesh
247  Backed_up_surface_melt_mesh_pt=0; // hierher add to constructor
248 
249  }
Array< double, 1, 3 > e(1./3., 0.5, 2.)
BackupMeshForProjection< TElement< 1, 3 > > * Backed_up_surface_melt_mesh_pt
Definition: melt.cc:445
void project_onto_new_mesh(Mesh *new_mesh_pt)
Definition: face_mesh_project.h:394
GeneralisedElement *& element_pt(const unsigned long &e)
Return pointer to element e.
Definition: mesh.h:448
unsigned long nelement() const
Return number of elements in the mesh.
Definition: mesh.h:590
void rebuild_global_mesh()
Definition: problem.cc:1533
Definition: heat_transfer_and_melt_elements.h:2249
void set_lagrange_multiplier_pressure_to_zero()
Definition: heat_transfer_and_melt_elements.h:2433

References e(), and oomph::SurfaceMeltElement< ELEMENT >::set_lagrange_multiplier_pressure_to_zero().

◆ actions_after_newton_solve()

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

Update the problem specs after solve (empty)

Reimplemented from oomph::Problem.

197 {}

◆ actions_before_adapt()

template<class ELEMENT >
void UnsteadyHeatMeltProblem< ELEMENT >::actions_before_adapt ( )
inlinevirtual

Actions before adapt: wipe flux elements.

Reimplemented from oomph::Problem.

204  {
205  // Make backup of surface mesh
208 
209  // Kill the elements and wipe surface mesh
211 
212  // Rebuild the Problem's global mesh from its various sub-meshes
214  }
void delete_flux_elements()
Delete flux elements.
Definition: melt.cc:290
Definition: face_mesh_project.h:223

◆ actions_before_newton_solve()

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

Update the problem specs before solve (empty)

Reimplemented from oomph::Problem.

200 {}

◆ complete_problem_setup()

template<class ELEMENT >
void UnsteadyHeatMeltProblem< ELEMENT >::complete_problem_setup ( )
inlineprivate

Helper function to (re-)set boundary condition and complete the build of all elements

310  {
311 
312  // Set (pseudo-)solid mechanics properties for all elements
313  //---------------------------------------------------------
314  unsigned n_element = Bulk_mesh_pt->nelement();
315  for(unsigned e=0;e<n_element;e++)
316  {
317  //Cast to a solid element
318  ELEMENT *el_pt = dynamic_cast<ELEMENT*>(Bulk_mesh_pt->element_pt(e));
319 
320  // Set the constitutive law
321  el_pt->constitutive_law_pt() =
323 
324  // Set density to zero
325  el_pt->lambda_sq_pt()=&ProblemParameters::Lambda_sq;
326 
327  // Disable inertia
328  el_pt->disable_inertia();
329 
330  // Set source function
331  el_pt->source_fct_pt() =
333  }
334 
335  // Apply boundary conditions for solid
336  //------------------------------------
337 
338  // Bottom: completely pinned
339  unsigned b=Bottom_boundary_id;
340  unsigned nnod=Bulk_mesh_pt->nboundary_node(b);
341  for (unsigned j=0;j<nnod;j++)
342  {
343  SolidNode* nod_pt=Bulk_mesh_pt->boundary_node_pt(b,j);
344  nod_pt->pin_position(0);
345  nod_pt->pin_position(1);
346  }
347 
348  // Sides: Symmetry bcs
350  nnod=Bulk_mesh_pt->nboundary_node(b);
351  for (unsigned j=0;j<nnod;j++)
352  {
353  SolidNode* nod_pt=Bulk_mesh_pt->boundary_node_pt(b,j);
354  nod_pt->pin_position(0);
355  }
357  nnod=Bulk_mesh_pt->nboundary_node(b);
358  for (unsigned j=0;j<nnod;j++)
359  {
360  SolidNode* nod_pt=Bulk_mesh_pt->boundary_node_pt(b,j);
361  nod_pt->pin_position(0);
362  }
363 
364  // No melting: Pin all solid positions and the Lagrange multipliers
365  if (CommandLineArgs::command_line_flag_has_been_set("--disable_melting"))
366  {
367  unsigned nnod=Bulk_mesh_pt->nnode();
368  for (unsigned j=0;j<nnod;j++)
369  {
370  SolidNode* nod_pt=Bulk_mesh_pt->node_pt(j);
371  nod_pt->pin_position(0);
372  nod_pt->pin_position(1);
373  unsigned nval=nod_pt->nvalue();
374  if (nval==3)
375  {
376  nod_pt->pin(1);
377  }
378  }
379  }
380 
381  // Assign the Lagrangian coordinates -- sensible
382  // because we've completely rebuilt the mesh
383  // and haven't copied across any Lagrange multipliers
384  Bulk_mesh_pt->set_lagrangian_nodal_coordinates();
385  n_element=Surface_melt_mesh_pt->nelement();
386  for (unsigned e=0;e<n_element;e++)
387  {
389  dynamic_cast<SurfaceMeltElement<ELEMENT>*>(
392  }
393 
394  // Loop over the flux elements to pass pointer to prescribed flux function
395  //------------------------------------------------------------------------
396  n_element=Surface_melt_mesh_pt->nelement();
397  for(unsigned e=0;e<n_element;e++)
398  {
399  // Upcast from GeneralisedElement to SurfaceMeltElement flux element
401  dynamic_cast<SurfaceMeltElement<ELEMENT>*>(
403 
404  // Pass validation flux
405  el_pt->flux_fct_pt()=
407 
408  // Set melt temperature
410 
411  // Suppress melting?
412  if (CommandLineArgs::command_line_flag_has_been_set("--disable_melt_flux"))
413  {
414  el_pt->disable_melting();
415  }
416  }
417  }
Scalar * b
Definition: benchVecAdd.cpp:17
void pin(const unsigned &i)
Pin the i-th stored variable.
Definition: nodes.h:385
unsigned nvalue() const
Return number of values stored in data object (incl pinned ones).
Definition: nodes.h:483
Definition: nodes.h:1686
void pin_position(const unsigned &i)
Pin the nodal position.
Definition: nodes.h:1816
void disable_melting()
Switch off melting by pinning melt-rate dofs.
Definition: heat_transfer_and_melt_elements.h:2408
double *& melt_temperature_pt()
Pointer to (non-default) melt temperature.
Definition: heat_transfer_and_melt_elements.h:2402
UnsteadyHeatPrescribedFluxFctPt & flux_fct_pt()
Access function for the prescribed-flux function pointer.
Definition: heat_transfer_and_melt_elements.h:147
void prescribed_flux_for_unsteady_heat_validation(const double &t, const Vector< double > &x, const Vector< double > &n, const double &u, double &flux)
Definition: circular_boulder_melt.cc:219
void get_source_for_unsteady_heat_validation(const double &t, const Vector< double > &x, double &source)
Source function to make it an exact solution.
Definition: circular_boulder_melt.cc:133
double Melt_temperature
Melt-temperature.
Definition: circular_boulder_melt.cc:67
double Lambda_sq
Timescale ratio (non-dim density)
Definition: unstructured_two_d_curved.cc:54
ConstitutiveLaw * Constitutive_law_pt
Pointer to constitutive law.
Definition: circular_boulder_melt.cc:76
bool command_line_flag_has_been_set(const std::string &flag)
Definition: oomph_utilities.cc:501

References b, oomph::CommandLineArgs::command_line_flag_has_been_set(), ProblemParameters::Constitutive_law_pt, oomph::SurfaceMeltElement< ELEMENT >::disable_melting(), e(), oomph::TemplateFreeUnsteadyHeatBaseFaceElement::flux_fct_pt(), ExactSolution::get_source_for_unsteady_heat_validation(), j, ProblemParameters::Lambda_sq, ProblemParameters::Melt_temperature, oomph::SurfaceMeltElement< ELEMENT >::melt_temperature_pt(), oomph::Data::nvalue(), oomph::Data::pin(), oomph::SolidNode::pin_position(), ExactSolution::prescribed_flux_for_unsteady_heat_validation(), and oomph::SurfaceMeltElement< ELEMENT >::set_lagrange_multiplier_pressure_to_zero().

◆ create_flux_elements()

template<class ELEMENT >
void UnsteadyHeatMeltProblem< ELEMENT >::create_flux_elements ( )
inlineprivate

Create flux elements.

262  {
263  // How many bulk elements are adjacent to boundary b?
264  unsigned b=Melt_boundary_id;
265  unsigned n_element = Bulk_mesh_pt->nboundary_element(b);
266 
267  // Loop over the bulk elements adjacent to boundary b?
268  for(unsigned e=0;e<n_element;e++)
269  {
270  // Get pointer to the bulk element that is adjacent to boundary b
271  ELEMENT* bulk_elem_pt = dynamic_cast<ELEMENT*>(
272  Bulk_mesh_pt->boundary_element_pt(b,e));
273 
274  //What is the face index of element e along boundary b
275  int face_index = Bulk_mesh_pt->face_index_at_boundary(b,e);
276 
277  // Build the corresponding prescribed-flux element
278  SurfaceMeltElement<ELEMENT>* flux_element_pt = new
279  SurfaceMeltElement<ELEMENT>(bulk_elem_pt,face_index);
280 
281  //Add the prescribed-flux element to the surface mesh
282  Surface_melt_mesh_pt->add_element_pt(flux_element_pt);
283 
284  } //end of loop over bulk elements adjacent to boundary b
285  }
void add_element_pt(GeneralisedElement *const &element_pt)
Add a (pointer to) an element to the mesh.
Definition: mesh.h:617

References b, and e().

◆ delete_flux_elements()

template<class ELEMENT >
void UnsteadyHeatMeltProblem< ELEMENT >::delete_flux_elements ( )
inlineprivate

Delete flux elements.

291  {
292  // How many surface elements are in the surface mesh
293  unsigned n_element = Surface_melt_mesh_pt->nelement();
294 
295  // Loop over the surface elements
296  for(unsigned e=0;e<n_element;e++)
297  {
298  // Kill surface element
300  }
301 
302  // Wipe the mesh
304  }
void flush_element_and_node_storage()
Definition: mesh.h:407

References e().

◆ doc_solution()

template<class ELEMENT >
void UnsteadyHeatMeltProblem< ELEMENT >::doc_solution

Doc the solution.

612 {
613  ofstream some_file;
614  char filename[100];
615 
616  // Number of plot points
617  unsigned npts;
618  npts=5;
619 
620  cout << std::endl;
621  cout << "=================================================" << std::endl;
622  cout << "Docing solution for t=" << time_pt()->time() << std::endl;
623  cout << "=================================================" << std::endl;
624 
625  // Output solution
626  sprintf(filename,"%s/soln%i.dat",Doc_info.directory().c_str(),
627  Doc_info.number());
628  some_file.open(filename);
629  Bulk_mesh_pt->output(some_file,npts);
630  some_file.close();
631 
632  // Output solution coarsely (only element vertices for easier
633  // mesh visualisation)
634  sprintf(filename,"%s/coarse_soln%i.dat",Doc_info.directory().c_str(),
635  Doc_info.number());
636  some_file.open(filename);
637  Bulk_mesh_pt->output(some_file,2);
638  some_file.close();
639 
640  // Output flux with melt
641  sprintf(filename,"%s/flux_with_melt%i.dat",Doc_info.directory().c_str(),
642  Doc_info.number());
643  some_file.open(filename);
644  unsigned nel=Surface_melt_mesh_pt->nelement();
645  for (unsigned e=0;e<nel;e++)
646  {
647  dynamic_cast<SurfaceMeltElement<ELEMENT>* >(
648  Surface_melt_mesh_pt->element_pt(e))->output_melt(some_file);
649  }
650  some_file.close();
651 
652 
653  // Output Number of Newton iterations in form that can be visualised
654  // as vector in paraview
655  sprintf(filename,"%s/newton_iter%i.dat",Doc_info.directory().c_str(),
656  Doc_info.number());
657  some_file.open(filename);
658  some_file << "0 0 0 " << Nnewton_iter_taken << std::endl;
659  some_file.close();
660 
661 
662  // Output exact solution
663  sprintf(filename,"%s/exact_soln%i.dat",Doc_info.directory().c_str(),
664  Doc_info.number());
665  some_file.open(filename);
666  Bulk_mesh_pt->output_fct(
667  some_file,npts,time_pt()->time(),
669  some_file.close();
670 
671  // Output exact position of melting line
672  sprintf(filename,"%s/exact_height%i.dat",Doc_info.directory().c_str(),
673  Doc_info.number());
674  some_file.open(filename);
675  unsigned nplot=100;
676  for (unsigned j=0;j<nplot;j++)
677  {
678  double x=double(j)/double(nplot-1);
679  some_file << x << " "
681  << std::endl;
682  }
683  some_file.close();
684 
685 
686  // Write norm of solution to trace file
687  double norm=0.0;
688  Bulk_mesh_pt->compute_norm(norm);
689  Trace_file << norm << std::endl;
690 
691  //Increment counter for solutions
692  Doc_info.number()++;
693 
694 } // end of doc_solution
std::string directory() const
Output directory.
Definition: oomph_utilities.h:524
unsigned Nnewton_iter_taken
Definition: problem.h:603
Time *& time_pt()
Return a pointer to the global time object.
Definition: problem.h:1504
double & time()
Return the current value of continuous time.
Definition: problem.cc:11531
double & time()
Return the current value of the continuous time.
Definition: timesteppers.h:123
double melting_surface_height(const double &t, const double &x)
Height of melting surface.
Definition: circular_boulder_melt.cc:156
void get_exact_u_for_unsteady_heat_validation(const double &t, const Vector< double > &x, Vector< double > &u)
Exact solution as a Vector.
Definition: circular_boulder_melt.cc:112
string filename
Definition: MergeRestartFiles.py:39
list x
Definition: plotDoE.py:28

References oomph::DocInfo::directory(), GlobalParameters::Doc_info, e(), MergeRestartFiles::filename, ExactSolution::get_exact_u_for_unsteady_heat_validation(), j, ExactSolution::melting_surface_height(), oomph::DocInfo::number(), oomph::Problem_Parameter::Trace_file, and plotDoE::x.

◆ global_temporal_error_norm()

template<class ELEMENT >
double UnsteadyHeatMeltProblem< ELEMENT >::global_temporal_error_norm ( )
inlinevirtual

Dummy global error norm for adaptive time-stepping.

Reimplemented from oomph::Problem.

255 {return 0.0;}

Member Data Documentation

◆ Backed_up_surface_melt_mesh_pt

template<class ELEMENT >
BackupMeshForProjection<TElement<1,3> >* UnsteadyHeatMeltProblem< ELEMENT >::Backed_up_surface_melt_mesh_pt
private

Backup of Surface_melt_mesh_pt so the Lagrange multipliers and melt rate can be projected across

◆ Bottom_boundary_id

template<class ELEMENT >
unsigned UnsteadyHeatMeltProblem< ELEMENT >::Bottom_boundary_id
private

ID of bottom boundary.

◆ Bulk_mesh_pt

template<class ELEMENT >
RefineableSolidTriangleMesh<ELEMENT>* UnsteadyHeatMeltProblem< ELEMENT >::Bulk_mesh_pt
private

Pointers to specific mesh.

◆ Doc_info

template<class ELEMENT >
DocInfo UnsteadyHeatMeltProblem< ELEMENT >::Doc_info
private

◆ Left_boundary_id

template<class ELEMENT >
unsigned UnsteadyHeatMeltProblem< ELEMENT >::Left_boundary_id
private

ID of left boundary.

◆ Melt_boundary_id

template<class ELEMENT >
unsigned UnsteadyHeatMeltProblem< ELEMENT >::Melt_boundary_id
private

ID of melt boundary.

◆ Right_boundary_id

template<class ELEMENT >
unsigned UnsteadyHeatMeltProblem< ELEMENT >::Right_boundary_id
private

ID of right boundary.

◆ Surface_melt_mesh_pt

template<class ELEMENT >
Mesh* UnsteadyHeatMeltProblem< ELEMENT >::Surface_melt_mesh_pt
private

Pointer to the "surface" mesh.

◆ Trace_file

template<class ELEMENT >
ofstream UnsteadyHeatMeltProblem< ELEMENT >::Trace_file
private

Trace file.


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