Inheritance diagram for CapProblem< ELEMENT >:

Public Member Functions
	CapProblem (const bool &hijack_internal)

	~CapProblem ()

void	parameter_study (const string &dir_name)

void	actions_before_newton_convergence_check ()
	Update the spine mesh after every Newton step. More...

void	create_volume_constraint_elements ()
	Create the volume constraint elements. More...

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

	CapProblem (const unsigned &Nr, const unsigned &Nz1, const unsigned &Nz2, const double &width)
	Constructor. More...

void	set_boundary_conditions ()
	Set boundary conditions on the wall. More...

void	solve_system ()
	Solve the problem. More...

void	create_volume_constraint_elements ()
	Create the volume constraint elements. More...

void	actions_before_newton_convergence_check ()
	Update the spine mesh after every Newton step. More...

	CapProblem (const bool &hijack_internal)

	~CapProblem ()

void	parameter_study (const string &dir_name)

void	actions_before_newton_convergence_check ()
	Update the spine mesh after every Newton step. More...

void	create_volume_constraint_elements ()
	Create the volume constraint elements. More...

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

	CapProblem (const unsigned &Nx, const unsigned &Nh1, const unsigned &Nh2)
	Constructor. More...

void	parameter_study ()
	Peform a parameter study: Solve problem for a range of contact angles. More...

void	finish_problem_setup ()
	Finish full specification of the elements. More...

void	actions_before_newton_convergence_check ()
	Update the spine mesh after every Newton step. More...

void	create_volume_constraint_elements ()
	Create the volume constraint elements. More...

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

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

void	set_analytic_dparameter (double *const &parameter_pt)

void	unset_analytic_dparameter (double *const &parameter_pt)

bool	is_dparameter_calculated_analytically (double *const &parameter_pt)

void	set_analytic_hessian_products ()

void	unset_analytic_hessian_products ()

bool	are_hessian_products_calculated_analytically ()

void	set_pinned_values_to_zero ()

bool	distributed () const

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 ()

Public Attributes
TwoLayerSpineMesh< SpineElement< ELEMENT > > *	Bulk_mesh_pt
	Pointer to the mesh. More...

Public Attributes inherited from oomph::Problem
bool	Shut_up_in_newton_solve

Private Attributes
double	Ca
	The Capillary number. More...

double	Volume
	The volume of the fluid. More...

double	Pext
	The external pressure. More...

double	Angle
	The contact angle. More...

SingleLayerSpineMesh< SpineElement< ELEMENT > > *	Bulk_mesh_pt
	The bulk mesh of fluid elements. More...

Mesh *	Surface_mesh_pt
	The mesh for the interface elements. More...

Mesh *	Point_mesh_pt
	The mesh for the element at the contact point. More...

Mesh *	Volume_constraint_mesh_pt
	The volume constraint mesh. More...

ofstream	Trace_file
	Trace file. More...

Data *	External_pressure_data_pt
	Data object whose single value stores the external pressure. More...

Data *	Traded_pressure_data_pt
	Data that is traded for the volume constraint. 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...

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_solve ()

virtual void	actions_after_newton_solve ()

virtual void	actions_before_newton_step ()

virtual void	actions_after_newton_step ()

virtual void	actions_before_implicit_timestep ()

virtual void	actions_after_implicit_timestep ()

virtual void	actions_after_implicit_timestep_and_error_estimation ()

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

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

virtual void	actions_before_read_unstructured_meshes ()

virtual void	actions_after_read_unstructured_meshes ()

virtual void	actions_after_change_in_global_parameter (double *const &parameter_pt)

virtual void	actions_after_change_in_bifurcation_parameter ()

virtual void	actions_after_parameter_increase (double *const &parameter_pt)

double &	dof_derivative (const unsigned &i)

double &	dof_current (const unsigned &i)

virtual void	set_initial_condition ()

virtual double	global_temporal_error_norm ()

unsigned	newton_solve_continuation (double *const &parameter_pt)

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

void	calculate_continuation_derivatives (double *const &parameter_pt)

void	calculate_continuation_derivatives (const DoubleVector &z)

void	calculate_continuation_derivatives_fd (double *const &parameter_pt)

bool	does_pointer_correspond_to_problem_data (double *const &parameter_pt)

void	set_consistent_pinned_values_for_continuation ()

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

std::map< double *, bool >	Calculate_dparameter_analytic

bool	Calculate_hessian_products_analytic

LinearAlgebraDistribution *	Dof_distribution_pt

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

DoubleVectorWithHaloEntries	Element_count_per_dof

double	Relaxation_factor

double	Newton_solver_tolerance

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

unsigned	Nnewton_iter_taken

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

double	Max_residuals

bool	Time_adaptive_newton_crash_on_solve_fail

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

bool	Jacobian_has_been_computed

bool	Problem_is_nonlinear

bool	Pause_at_end_of_sparse_assembly

bool	Doc_time_in_distribute

unsigned	Sparse_assembly_method

unsigned	Sparse_assemble_with_arrays_initial_allocation

unsigned	Sparse_assemble_with_arrays_allocation_increment

Vector< Vector< unsigned > >	Sparse_assemble_with_arrays_previous_allocation

double	Numerical_zero_for_sparse_assembly

double	FD_step_used_in_get_hessian_vector_products

bool	Mass_matrix_reuse_is_enabled

bool	Mass_matrix_has_been_computed

bool	Discontinuous_element_formulation

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

double	Maximum_dt
	Maximum desired dt. More...

double	DTSF_max_increase

double	DTSF_min_decrease

double	Minimum_dt_but_still_proceed

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

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

double	Theta_squared

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

double	Continuation_direction

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

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

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

unsigned	Dof_derivative_offset

unsigned	Dof_current_offset

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

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

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

unsigned	Desired_newton_iterations_ds

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

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

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

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

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

bool	Use_finite_differences_for_continuation_derivatives

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

bool	Always_take_one_newton_step

double	Timestep_reduction_factor_after_nonconvergence

bool	Keep_temporal_error_below_tolerance

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

Detailed Description

template<class ELEMENT>
class CapProblem< ELEMENT >

A Problem class that solves the Navier–Stokes equations + free surface in an axisymmetric geometry using a spine-based node update

A Problem class that solves the Navier–Stokes equations in an axisymmetric geometry N.B. we usually template problems by element-type and a timestepper in any problems where different elements or timesteppers MAY be used

A Problem class that solves the Navier–Stokes equations + free surface in a 2D geometry using a spine-based node update

Constructor & Destructor Documentation

◆ CapProblem() [1/4]

template<class ELEMENT >

CapProblem< ELEMENT >::CapProblem ( const bool & hijack_internal )

Constructor: Pass boolean flag to indicate if the volume constraint is applied by hijacking an internal pressure or the external pressure

                                                            :
  Ca(2.1),  //Initialise value of Ca to some random value
  Volume(0.125),  //Initialise the value of the volume:
                  //the physical volume divided by 2pi
  Pext(1.23),  //Initialise the external pressure to some random value
  Angle(0.5*MathematicalConstants::Pi) //Initialise the contact angle
 {
  //Set the wall normal
  Global_Physical_Variables::Wall_normal.resize(2);
  Global_Physical_Variables::Wall_normal[0] = 1.0;
  Global_Physical_Variables::Wall_normal[1] = 0.0;
  
  // Number of elements in the horizontal direction
  unsigned nx=4;
  
  // Number of elements in the vertical direction
  unsigned nh=4;
  
  // Halfwidth of domain
  double half_width=0.5;
  
  //Construct bulk mesh
  Bulk_mesh_pt = 
   new SingleLayerSpineMesh<SpineElement<ELEMENT> >(nx,nh,half_width,1.0);
  
  //Create the surface mesh that will contain the interface elements
  //First create storage, but with no elements or nodes
  Surface_mesh_pt = new Mesh;
  //Also create storage for a point mesh that contain the single element
  //responsible for  enforcing the contact angle condition
  Point_mesh_pt = new Mesh;
  
  //Loop over the horizontal elements adjacent to the upper surface
  //(boundary 2) and create the surface elements
  unsigned n_boundary_element = Bulk_mesh_pt->nboundary_element(2);
  for(unsigned e=0;e<n_boundary_element;e++)
   {
    //Construct a new 1D line element adjacent to boundary 2
    FiniteElement *interface_element_pt =
     new SpineAxisymmetricFluidInterfaceElement<SpineElement<ELEMENT> >(
      Bulk_mesh_pt->boundary_element_pt(2,e),
      Bulk_mesh_pt->face_index_at_boundary(2,e));
    
    //Push it back onto the stack
    this->Surface_mesh_pt->add_element_pt(interface_element_pt); 
  
    //Find the (single) node that is on the solid boundary (boundary 1)
    unsigned n_node = interface_element_pt->nnode();
    //We only need to check the right-hand nodes (because I know the
    //ordering of the nodes within the element)
    if(interface_element_pt->node_pt(n_node-1)->is_on_boundary(1))
     {
      //Make the point (contact) element from right-hand edge of the element
      FiniteElement* point_element_pt = 
       dynamic_cast<SpineAxisymmetricFluidInterfaceElement<
        SpineElement<ELEMENT> >*>(interface_element_pt)
       ->make_bounding_element(1);
  
      //Add it to the mesh
      this->Point_mesh_pt->add_element_pt(point_element_pt);
     }
   }
  
  //Create a Data object whose single value stores the
  //external pressure
  External_pressure_data_pt = new Data(1);
  
  // Set external pressure
  External_pressure_data_pt->set_value(0,Pext);
  
  // Which pressure are we trading for the volume constraint: We 
  // can either hijack an internal pressure or use the external pressure.
  if (hijack_internal)
   {
    // The external pressure is pinned -- the external pressure
    // sets the pressure throughout the domain -- we do not have
    // the liberty to fix another pressure value!
    External_pressure_data_pt->pin(0);
  
    //Hijack one of the pressure values in the fluid and use it 
    //as the pressure whose value is determined by the volume constraint.
    //(Its value will affect the residual of that element but it will not
    //be determined by it, i.e. it's hijacked).
    Traded_pressure_data_pt = dynamic_cast<ELEMENT*>(
     Bulk_mesh_pt->element_pt(0))->hijack_internal_value(0,0);
   }
  else
   {
    // Regard the external pressure as an unknown and add
    // it to the problem's global data so it gets included
    // in the equation numbering. Note that, at the moment,
    // there's no equation that determines its value!
    add_global_data(External_pressure_data_pt);
  
    // Declare the external pressure to be the pressure determined
    // by the volume constraint, i.e. the pressure that's "traded":
    Traded_pressure_data_pt = External_pressure_data_pt;
  
    // Since the external pressure is "traded" for the volume constraint,
    // it no longer sets the overall pressure, and we 
    // can add an arbitrary constant to all pressures. To make 
    // the solution unique, we pin a single pressure value in the bulk: 
    // We arbitrarily set the pressure dof 0 in element 0 to zero.
    dynamic_cast<ELEMENT*>(Bulk_mesh_pt->element_pt(0))->fix_pressure(0,0.0);
   }
  
  
  
  // Loop over the elements on the interface to pass pointer to Ca and
  // the pointers to the Data items that contains the single
  // (pressure) value that is "traded" for the volume constraint 
  // and the external pressure
  unsigned n_interface = Surface_mesh_pt->nelement();
  for(unsigned e=0;e<n_interface;e++)
   {
    //Cast to a 1D element
    SpineAxisymmetricFluidInterfaceElement<SpineElement<ELEMENT> >*el_pt=
     dynamic_cast<SpineAxisymmetricFluidInterfaceElement<SpineElement<ELEMENT> >*>
     (Surface_mesh_pt->element_pt(e));
  
    //Set the Capillary number
    el_pt->ca_pt() = &Ca;
    
    //Pass the Data item that contains the single external pressure value
    el_pt->set_external_pressure_data(External_pressure_data_pt);
   }
  
  
  //Set the boundary conditions
  
  //Pin the velocities on all boundaries apart from the free surface
  //(boundary 2) where all velocities are free, and apart from the symmetry
  //line (boundary 3) where only the horizontal velocity is pinned
  unsigned n_bound=Bulk_mesh_pt->nboundary();
  for (unsigned b=0;b<n_bound;b++)
   {
    if (b!=2)
     {
      //Find the number of nodes on the boundary
      unsigned n_boundary_node = Bulk_mesh_pt->nboundary_node(b);
      //Loop over the nodes on the boundary
      for(unsigned n=0;n<n_boundary_node;n++)
       {
        Bulk_mesh_pt->boundary_node_pt(b,n)->pin(0);
        Bulk_mesh_pt->boundary_node_pt(b,n)->pin(2);
        if (b!=3)
         {
          Bulk_mesh_pt->boundary_node_pt(b,n)->pin(1);
         }
       }
     }
   }
  
  // Set the contact angle boundary condition for the rightmost element
  // (pass pointer to double that specifies the contact angle)
  FluidInterfaceBoundingElement *contact_angle_element_pt
   = dynamic_cast<FluidInterfaceBoundingElement*>(
    Point_mesh_pt->element_pt(0));
  
  contact_angle_element_pt->set_contact_angle(&Angle);
  contact_angle_element_pt->ca_pt() = &Ca;
  contact_angle_element_pt->wall_unit_normal_fct_pt() 
   =  &Global_Physical_Variables::wall_unit_normal_fct;
  
  //Now add the volume constraint
  create_volume_constraint_elements();
  
  this->add_sub_mesh(Bulk_mesh_pt);
  this->add_sub_mesh(Surface_mesh_pt);
  this->add_sub_mesh(Point_mesh_pt);
  this->add_sub_mesh(Volume_constraint_mesh_pt);
  
  this->build_global_mesh();
  
  //Setup all the equation numbering and look-up schemes 
  cout << "Number of unknowns: " << assign_eqn_numbers() << std::endl; 
  
 }

◆ ~CapProblem() [1/2]

template<class ELEMENT >

CapProblem< ELEMENT >::~CapProblem

Destructor. Make sure to clean up all allocated memory, so that multiple instances of the problem don't lead to excessive memory usage.

 {
  //Loop over the volume mesh and delete the elements
  unsigned n_element = Volume_constraint_mesh_pt->nelement();
  for(unsigned e=0;e<n_element;e++)
   {delete Volume_constraint_mesh_pt->element_pt(e);}
  //Now flush the storage
  Volume_constraint_mesh_pt->flush_element_and_node_storage();
  //Now delete the mesh
  delete Volume_constraint_mesh_pt;
  
  //Delete the traded pressure if not the same as the external pressure
  if(Traded_pressure_data_pt!=External_pressure_data_pt)
   {delete Traded_pressure_data_pt;}
   //Next delete the external data
  delete External_pressure_data_pt;
  
  //Loop over the point mesh and delete the elements
  n_element = Point_mesh_pt->nelement();
  for(unsigned e=0;e<n_element;e++) 
   {delete Point_mesh_pt->element_pt(e);}
  //Now flush the storage
  Point_mesh_pt->flush_element_and_node_storage();
  //Then delete the mesh
  delete Point_mesh_pt;
  
  //Loop over the surface mesh and delete the elements
  n_element = Surface_mesh_pt->nelement();
  for(unsigned e=0;e<n_element;e++) 
   {delete Surface_mesh_pt->element_pt(e);}
  //Now flush the storage
  Surface_mesh_pt->flush_element_and_node_storage();
  //Then delete the mesh
  delete Surface_mesh_pt;
  
  //Then delete the bulk mesh
  delete Bulk_mesh_pt;
 }

References e().

◆ CapProblem() [2/4]

template<class ELEMENT >

CapProblem< ELEMENT >::CapProblem	(	const unsigned &	Nr,
		const unsigned &	Nz1,
		const unsigned &	Nz2,
		const double &	width
	)

Constructor.

                                            :
  Ca(1.0),  //Initialise value of Ca to one
  Volume(0.125),  //Initialise the value of the volume to 0.125
  Angle(1.57)     //Initialise the value of the contact angle
 {
  //Set the wall normal (in the r-direction)
  Global_Physical_Variables::Wall_normal.resize(2); 
  Global_Physical_Variables::Wall_normal[0] = 1.0; 
  Global_Physical_Variables::Wall_normal[1] = 0.0;
  
  //Construct our mesh
  Bulk_mesh_pt = 
   new TwoLayerSpineMesh<SpineElement<ELEMENT> >(Nr,Nz1,Nz2,width,1.0,1.0);
  
  Surface_mesh_pt = new Mesh;
  
  //Loop over the horizontal elements
  unsigned n_interface_lower = Bulk_mesh_pt->ninterface_lower();
  for(unsigned i=0;i<n_interface_lower;i++)
   {
    //Construct a new 1D line element adjacent to the interface
    FiniteElement *interface_element_pt =  new 
     SpineAxisymmetricFluidInterfaceElement<SpineElement<ELEMENT> >(
      Bulk_mesh_pt->interface_lower_boundary_element_pt(i),
      Bulk_mesh_pt->interface_lower_face_index_at_boundary(i));
    
     this->Surface_mesh_pt->add_element_pt(interface_element_pt);
    }
  
 //Create the point mesh
  Point_mesh_pt = new Mesh;
  {
   //Make the point (contact) element from the last surface element
   FiniteElement* point_element_pt = 
    dynamic_cast<SpineAxisymmetricFluidInterfaceElement<
     SpineElement<ELEMENT> >*>(Surface_mesh_pt->element_pt(n_interface_lower-1))
    ->make_bounding_element(1);
   
   //Add it to the mesh
   this->Point_mesh_pt->add_element_pt(point_element_pt);
  }
  
  
  //Set the linear solver (frontal solver) (function defined in Problem class)
  //linear_solver_pt() = new HSL_MA42;
  
  //We are going to hijack one of the pressure values and make a copy of it
  //in global data
  flush_global_data();
  
  
  //Hijack one of the pressure values in the upper fluid
  add_global_data(dynamic_cast<ELEMENT*>(Bulk_mesh_pt->upper_layer_element_pt(0))
   ->hijack_internal_value(0,0));
  
  Traded_pressure_data_pt = this->global_data_pt(0);
  
  //Loop over the elements on the free surface
  unsigned Ninterface = Surface_mesh_pt->nelement();
  for(unsigned e=0;e<Ninterface;e++)
   {
    //Cast to a 1D element
    SpineAxisymmetricFluidInterfaceElement<SpineElement<ELEMENT> > 
     *el_pt = 
     dynamic_cast<
     SpineAxisymmetricFluidInterfaceElement<SpineElement<ELEMENT> >*>
     (Surface_mesh_pt->element_pt(e));
    //Set the Capillary number
    el_pt->ca_pt() = &Ca;
   }
  
  //Set the boundary conditions
  //Pin all velocity components on the bottom, wall and top
  for(unsigned b=0;b<4;b++)
   {
    //Find the number of nodes on the boundary
    unsigned n_boundary_node = Bulk_mesh_pt->nboundary_node(b);
    //Loop over the nodes on the boundary
    for(unsigned n=0;n<n_boundary_node;n++)
     {
      for(unsigned i=0;i<3;i++)
       {
        Bulk_mesh_pt->boundary_node_pt(b,n)->pin(i);
       }
     }
   }
  
  //Axis boundary, pin u (component 0) and v (component 2), but leave w free
  for(unsigned b=4;b<6;b++)
   {
    //Find the number of nodes on the boundary
    unsigned Nboundary_node = Bulk_mesh_pt->nboundary_node(b);
    //Loop over the nodes on the boundary
    for(unsigned n=0;n<Nboundary_node;n++)
     {
      Bulk_mesh_pt->boundary_node_pt(b,n)->pin(0);
      Bulk_mesh_pt->boundary_node_pt(b,n)->pin(2);
     }
   }
  
  //Set the contact angle on the RHS
  dynamic_cast<FluidInterfaceBoundingElement*>
   (Point_mesh_pt->element_pt(0))->set_contact_angle(&Angle);
  
  dynamic_cast<FluidInterfaceBoundingElement*>
   (Point_mesh_pt->element_pt(0))->ca_pt() = &Ca;
  
  //Set the wall normal on the rhs
  dynamic_cast<FluidInterfaceBoundingElement*>
   (Point_mesh_pt->element_pt(0))->wall_unit_normal_fct_pt() = 
   &Global_Physical_Variables::wall_unit_normal_fct;
  
  //Pin a single pressure value
  dynamic_cast<ELEMENT*>(Bulk_mesh_pt->element_pt(0))->fix_pressure(0,0.0);
  
  this->create_volume_constraint_elements();
  
  this->add_sub_mesh(Bulk_mesh_pt);
  this->add_sub_mesh(Surface_mesh_pt);
  this->add_sub_mesh(Point_mesh_pt);
  this->add_sub_mesh(Volume_constraint_mesh_pt);
  
  this->build_global_mesh();
  
  //Setup all the equation numbering and look-up schemes 
  //(function defined in Problem class)
  cout << assign_eqn_numbers() << std::endl; 
 }

◆ CapProblem() [3/4]

template<class ELEMENT >

CapProblem< ELEMENT >::CapProblem ( const bool & hijack_internal )

◆ ~CapProblem() [2/2]

template<class ELEMENT >

CapProblem< ELEMENT >::~CapProblem ( )

◆ CapProblem() [4/4]

template<class ELEMENT >

CapProblem< ELEMENT >::CapProblem	(	const unsigned &	Nx,
		const unsigned &	Nh1,
		const unsigned &	Nh2
	)

Constructor.

                                                                :
  Ca(2.1),  //Initialise value of Ca to some random value
  Volume(0.5),  //Initialise the value of the volume 
  Angle(0.5*MathematicalConstants::Pi) //Initialise the contact angle
 {
  Global_Physical_Variables::Wall_normal.resize(2);
  Global_Physical_Variables::Wall_normal[0] = 1.0;
  Global_Physical_Variables::Wall_normal[1] = 0.0;
  
  //Construct our mesh
  Bulk_mesh_pt = new TwoLayerSpineMesh<SpineElement<ELEMENT> >
  (Nx,Nh1,Nh2,0.5,1.0,1.0);
  
  Surface_mesh_pt = new Mesh;
  
  //Loop over the horizontal elements
  unsigned n_interface_lower = Bulk_mesh_pt->ninterface_lower();
  for(unsigned i=0;i<n_interface_lower;i++)
   {
    //Construct a new 1D line element adjacent to the interface
    FiniteElement *interface_element_pt =  new 
     SpineLineFluidInterfaceElement<SpineElement<ELEMENT> >(
      Bulk_mesh_pt->interface_lower_boundary_element_pt(i),
      Bulk_mesh_pt->interface_lower_face_index_at_boundary(i));
  
     this->Surface_mesh_pt->add_element_pt(interface_element_pt);
    }
  
 //Create the point mesh
 Point_mesh_pt = new Mesh;
  {
   //Make the point (contact) element from the last surface element
   FiniteElement* point_element_pt = 
   dynamic_cast<SpineLineFluidInterfaceElement<
    SpineElement<ELEMENT> >*>(Surface_mesh_pt->element_pt(n_interface_lower-1))
    ->make_bounding_element(1);
  
  //Add it to the mesh
  this->Point_mesh_pt->add_element_pt(point_element_pt);
 }
  
  //Hijack one of the pressure values in the upper fluid. Its value
  //will affect the residual of that element but it will not
  //be determined by it!
  Traded_pressure_data_pt = dynamic_cast<ELEMENT*>(
   Bulk_mesh_pt->upper_layer_element_pt(0))->hijack_internal_value(0,0);
  
  // Loop over the elements on the interface to pass pointer to Ca and
  // the pointer to the Data item that contains the single
  // (pressure) value that is "traded" for the volume constraint 
  unsigned n_interface = Surface_mesh_pt->nelement();
  for(unsigned e=0;e<n_interface;e++)
   {
    //Cast to a 1D element
    SpineLineFluidInterfaceElement<SpineElement<ELEMENT> >*el_pt=
    dynamic_cast<SpineLineFluidInterfaceElement<
     SpineElement<ELEMENT> >*>
     (Surface_mesh_pt->element_pt(e));
    //Set the Capillary number
    el_pt->ca_pt() = &Ca;
   }
  
  
  //Set the boundary conditions
  
  //Pin the velocities on all external boundaries apart from the symmetry
  //line (boundaries 4 and 5) where only the horizontal velocity is pinned
  for (unsigned b=0;b<6;b++)
   {
    //Find the number of nodes on the boundary
    unsigned n_boundary_node = Bulk_mesh_pt->nboundary_node(b);
    //Loop over the nodes on the boundary
    for(unsigned n=0;n<n_boundary_node;n++)
     {
      Bulk_mesh_pt->boundary_node_pt(b,n)->pin(0);
      if ((b!=4) && (b!=5))
       {
        Bulk_mesh_pt->boundary_node_pt(b,n)->pin(1);
       }
     }
   }
  // Set the contact angle boundary condition for the rightmost element
  dynamic_cast<FluidInterfaceBoundingElement*>(
   Point_mesh_pt->element_pt(0))->set_contact_angle(&Angle);
  
  dynamic_cast<FluidInterfaceBoundingElement*>(
   Point_mesh_pt->element_pt(0))->ca_pt() = &Ca;
  
  dynamic_cast<FluidInterfaceBoundingElement*>(
   Point_mesh_pt->element_pt(0))->wall_unit_normal_fct_pt() = 
   &Global_Physical_Variables::wall_unit_normal_fct;
  
  // Pin a single pressure value: Set the pressure dof 0 in element 0
  // of the lower layer to zero.
  dynamic_cast<ELEMENT*>(Bulk_mesh_pt->lower_layer_element_pt(0))
   ->fix_pressure(0,0.0);
  
  this->create_volume_constraint_elements();
  
  this->add_sub_mesh(Bulk_mesh_pt);
  this->add_sub_mesh(Surface_mesh_pt);
  this->add_sub_mesh(Point_mesh_pt);
  this->add_sub_mesh(Volume_constraint_mesh_pt);
  
  this->build_global_mesh();
  
  //Setup all the equation numbering and look-up schemes 
  cout << "Number of unknowns: " << assign_eqn_numbers() << std::endl; 
  
 }

Member Function Documentation

◆ actions_before_newton_convergence_check() [1/4]

template<class ELEMENT >

void CapProblem< ELEMENT >::actions_before_newton_convergence_check ( )

inlinevirtual

Update the spine mesh after every Newton step.

Reimplemented from oomph::Problem.

94 {Bulk_mesh_pt->node_update();}

oomph::SpineMesh::node_update

void node_update(const bool &update_all_solid_nodes=false)

Definition: spines.cc:84

◆ actions_before_newton_convergence_check() [2/4]

template<class ELEMENT >

void CapProblem< ELEMENT >::actions_before_newton_convergence_check ( )

inlinevirtual

Update the spine mesh after every Newton step.

Reimplemented from oomph::Problem.

116 {Bulk_mesh_pt->node_update();}

References oomph::SpineMesh::node_update().

◆ actions_before_newton_convergence_check() [3/4]

template<class ELEMENT >

void CapProblem< ELEMENT >::actions_before_newton_convergence_check ( )

inlinevirtual

Update the spine mesh after every Newton step.

Reimplemented from oomph::Problem.

94 {Bulk_mesh_pt->node_update();}

◆ actions_before_newton_convergence_check() [4/4]

template<class ELEMENT >

void CapProblem< ELEMENT >::actions_before_newton_convergence_check ( )

inlinevirtual

Update the spine mesh after every Newton step.

Reimplemented from oomph::Problem.

102 {Bulk_mesh_pt->node_update();}

References oomph::SpineMesh::node_update().

◆ create_volume_constraint_elements() [1/4]

template<class ELEMENT >

void CapProblem< ELEMENT >::create_volume_constraint_elements

Create the volume constraint elements.

 {
  //The single volume constraint element
  Volume_constraint_mesh_pt = new Mesh;
  VolumeConstraintElement* vol_constraint_element = 
   new VolumeConstraintElement(&Volume,Traded_pressure_data_pt,0);
  Volume_constraint_mesh_pt->add_element_pt(vol_constraint_element);
  
  //Loop over all boundaries (or just 1 and 2 why?)
  for(unsigned b=0;b<4;b++)
   {
    // How many bulk fluid elements are adjacent to boundary b?
    unsigned n_element = Bulk_mesh_pt->nboundary_element(b);
    
    // Loop over the bulk fluid elements adjacent to boundary b?
    for(unsigned e=0;e<n_element;e++)
     {
      // Get pointer to the bulk fluid element that is 
      // adjacent to boundary b
      ELEMENT* bulk_elem_pt = dynamic_cast<ELEMENT*>(
       Bulk_mesh_pt->boundary_element_pt(b,e));
      
      //Find the index of the face of element e along boundary b
      int face_index = Bulk_mesh_pt->face_index_at_boundary(b,e);
      
      // Create new element
      SpineAxisymmetricVolumeConstraintBoundingElement<ELEMENT>* el_pt =
       new SpineAxisymmetricVolumeConstraintBoundingElement<ELEMENT>(
        bulk_elem_pt,face_index);   
  
      //Set the "master" volume control element
      el_pt->set_volume_constraint_element(vol_constraint_element);
  
      // Add it to the mesh
      Volume_constraint_mesh_pt->add_element_pt(el_pt);     
     }
   }
 }

References b, e(), oomph::VolumeConstraintBoundingElement::set_volume_constraint_element(), and Global_Physical_Variables::Volume.

Referenced by CapProblem< ELEMENT >::CapProblem().

◆ create_volume_constraint_elements() [2/4]

template<class ELEMENT >

void CapProblem< ELEMENT >::create_volume_constraint_elements ( )

Create the volume constraint elements.

◆ create_volume_constraint_elements() [3/4]

template<class ELEMENT >

void CapProblem< ELEMENT >::create_volume_constraint_elements ( )

Create the volume constraint elements.

◆ create_volume_constraint_elements() [4/4]

template<class ELEMENT >

void CapProblem< ELEMENT >::create_volume_constraint_elements ( )

Create the volume constraint elements.

◆ doc_solution() [1/3]

template<class ELEMENT >

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

Doc the solution.

 { 
  
  ofstream some_file;
  char filename[100];
  
  // Number of plot points
  unsigned npts=5; 
  
  
  //Output domain
  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);
  Surface_mesh_pt->output(some_file,npts);
  some_file.close();
  
  //Output domain in paraview format
  sprintf(filename,"%s/soln%i.vtu",doc_info.directory().c_str(),
          doc_info.number());
  some_file.open(filename);
  Bulk_mesh_pt->output_paraview(some_file,npts);
  some_file.close();
  
  // Number of spines
  unsigned nspine=Bulk_mesh_pt->nspine();
  
  // Doc
  Trace_file << Angle*180.0/MathematicalConstants::Pi;
  Trace_file << " "  << Bulk_mesh_pt->spine_pt(0)->height();
  Trace_file << " "  << Bulk_mesh_pt->spine_pt(nspine-1)->height();
  Trace_file << " " 
             << dynamic_cast<ELEMENT*>(Bulk_mesh_pt->element_pt(0))
   ->p_axi_nst(0) - External_pressure_data_pt->value(0);
  Trace_file << " " << -4.0*cos(Angle)/Ca;
  Trace_file << std::endl;
  
 }

References Global_Physical_Variables::Angle, Global_Physical_Variables::Ca, cos(), oomph::DocInfo::directory(), MergeRestartFiles::filename, oomph::DocInfo::number(), BiharmonicTestFunctions2::Pi, and oomph::Problem_Parameter::Trace_file.

◆ doc_solution() [2/3]

template<class ELEMENT >

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

Doc the solution.

◆ doc_solution() [3/3]

template<class ELEMENT >

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

Doc the solution.

◆ finish_problem_setup()

template<class ELEMENT >

void CapProblem< ELEMENT >::finish_problem_setup ( )

Finish full specification of the elements.

◆ parameter_study() [1/3]

template<class ELEMENT >

void CapProblem< ELEMENT >::parameter_study

Peform a parameter study: Solve problem for a range of contact angles.

Perform a parameter study.

 {
  
  // Create DocInfo object (allows checking if output directory exists)
  DocInfo doc_info;
  doc_info.set_directory("RESLT");
  doc_info.number()=0;
  
  
  // Open trace file
  char filename[100];   
  sprintf(filename,"%s/trace.dat",doc_info.directory().c_str());
  Trace_file.open(filename);
  Trace_file << "VARIABLES=\"<greek>a</greek><sub>prescribed</sub>\",";
  Trace_file << "\"h<sub>left</sub>\",\"h<sub>right</sub>\",";
  Trace_file << "\"<greek>a</greek><sub>left</sub>\",";
  Trace_file << "\"<greek>a</greek><sub>right</sub>\",";
  Trace_file << "\"p<sub>upper</sub>\",";
  Trace_file << "\"p<sub>lower</sub>\",";
  Trace_file << "\"p<sub>exact</sub>\"";
  Trace_file << std::endl;
  
  // Doc initial state
  doc_solution(doc_info);
  
  // Bump up counter
  doc_info.number()++;
  
  //Gradually increase the contact angle
  for(unsigned i=0;i<6;i++)
   {
    //Solve the problem
    steady_newton_solve();
  
    //Output result
    doc_solution(doc_info);
  
    // Bump up counter
    doc_info.number()++;
  
    //Decrease the contact angle
    Angle -= 5.0*MathematicalConstants::Pi/180.0;
   }
  
 } 

References Global_Physical_Variables::Angle, oomph::DocInfo::directory(), MergeRestartFiles::filename, i, oomph::DocInfo::number(), BiharmonicTestFunctions2::Pi, oomph::DocInfo::set_directory(), and oomph::Problem_Parameter::Trace_file.

◆ parameter_study() [2/3]

template<class ELEMENT >

void CapProblem< ELEMENT >::parameter_study ( const string & dir_name )

Perform a parameter study: Solve problem for a range of contact angles Pass name of output directory as a string

Perform a parameter study. Pass name of output directory as a string

 {
  
  // Create DocInfo object (allows checking if output directory exists)
  DocInfo doc_info;
  doc_info.set_directory(dir_name);
  doc_info.number()=0;
  
  
  // Open trace file
  char filename[100];   
  sprintf(filename,"%s/trace.dat",doc_info.directory().c_str());
  Trace_file.open(filename);
  Trace_file << "VARIABLES=\"<greek>a</greek><sub>prescribed</sub>\",";
  Trace_file << "\"h<sub>left</sub>\",\"h<sub>right</sub>\",";
  Trace_file << "\"p<sub>fluid</sub>-p<sub>ext</sub>\",";
  Trace_file << "\"<greek>D</greek>p<sub>exact</sub>\"";
  Trace_file << std::endl;
  
  //Gradually increase the contact angle
  for(unsigned i=0;i<6;i++)
   {
    //Solve the problem
    steady_newton_solve();
  
    //Output result
    doc_solution(doc_info);
  
    // Bump up counter
    doc_info.number()++;
  
    //Decrease the contact angle
    Angle -= 5.0*MathematicalConstants::Pi/180.0;
   }
  
 } 

References Global_Physical_Variables::Angle, oomph::DocInfo::directory(), MergeRestartFiles::filename, i, oomph::DocInfo::number(), BiharmonicTestFunctions2::Pi, oomph::DocInfo::set_directory(), and oomph::Problem_Parameter::Trace_file.

◆ parameter_study() [3/3]

template<class ELEMENT >

void CapProblem< ELEMENT >::parameter_study ( const string & dir_name )

Perform a parameter study: Solve problem for a range of contact angles Pass name of output directory as a string

◆ set_boundary_conditions()

template<class ELEMENT >

void CapProblem< ELEMENT >::set_boundary_conditions

Set boundary conditions on the wall.

 {
  //NOTE: The default value of all parameters is zero, so we don't need 
  //to set anything here
 }

◆ solve_system()

template<class ELEMENT >

void CapProblem< ELEMENT >::solve_system

Solve the problem.

 {
  //Define a string that we can set to be the name of the output file
  char filename[100];
  
  //Set the boundary conditions (only need to do this once)
  //If the boundary conditions depend up on time, or Re, we need to
  //reset them every time something changes. This is most easily
  //achieved using the actions_before_newton_solve() {} function.
  set_boundary_conditions();
  
  //Solve the problem (function defined in Problem class)
  //The default tolerance is that the maximum residual must be less that 1.0e-8
  steady_newton_solve();
  
  //Output first solution
  ofstream file("step0_spine.dat");
  Bulk_mesh_pt->output(file,5);
  Surface_mesh_pt->output(file,5);
  file.close();
  
  //Gradually increase the contact angle
  for(unsigned i=1;i<6;i++)
   {
    //Decrease the contact angle
    Angle -= 0.1;
  
    //Solve the problem
    steady_newton_solve();
  
    //Create the filename, including the array index
    sprintf(filename,"step%i_spine.dat",i);
    //Actually, write the data
    file.open(filename);
    Bulk_mesh_pt->output(file,5);
    Surface_mesh_pt->output(file,5);
    file.close();
   }
  
 } 

References Global_Physical_Variables::Angle, MergeRestartFiles::filename, and i.

Member Data Documentation

◆ Angle

template<class ELEMENT >

double CapProblem< ELEMENT >::Angle

private

The contact angle.

Referenced by CapProblem< ELEMENT >::CapProblem().

◆ Bulk_mesh_pt [1/2]

template<class ELEMENT >

TwoLayerSpineMesh< SpineElement< ELEMENT > > * CapProblem< ELEMENT >::Bulk_mesh_pt

private

The bulk mesh of fluid elements.

Pointer to the mesh.

Referenced by CapProblem< ELEMENT >::CapProblem().

◆ Bulk_mesh_pt [2/2]

template<class ELEMENT >

TwoLayerSpineMesh<SpineElement<ELEMENT> >* CapProblem< ELEMENT >::Bulk_mesh_pt

Pointer to the mesh.

◆ Ca

template<class ELEMENT >

double CapProblem< ELEMENT >::Ca

private

The Capillary number.

Referenced by CapProblem< ELEMENT >::CapProblem().

◆ External_pressure_data_pt

template<class ELEMENT >

Data * CapProblem< ELEMENT >::External_pressure_data_pt

private

Data object whose single value stores the external pressure.

Referenced by CapProblem< ELEMENT >::CapProblem().

◆ Pext

template<class ELEMENT >

double CapProblem< ELEMENT >::Pext

private

The external pressure.

Referenced by CapProblem< ELEMENT >::CapProblem().

◆ Point_mesh_pt

template<class ELEMENT >

Mesh * CapProblem< ELEMENT >::Point_mesh_pt

private

The mesh for the element at the contact point.

Pointer to the point mesh.

Referenced by CapProblem< ELEMENT >::CapProblem().

◆ Surface_mesh_pt

template<class ELEMENT >

Mesh * CapProblem< ELEMENT >::Surface_mesh_pt

private

The mesh for the interface elements.

Pointer to the surface mesh.

Referenced by CapProblem< ELEMENT >::CapProblem().

◆ Trace_file

template<class ELEMENT >

ofstream CapProblem< ELEMENT >::Trace_file

private

Trace file.

◆ Traded_pressure_data_pt

template<class ELEMENT >

Data * CapProblem< ELEMENT >::Traded_pressure_data_pt

private

Data that is traded for the volume constraint.

Referenced by CapProblem< ELEMENT >::CapProblem().

◆ Volume

template<class ELEMENT >

double CapProblem< ELEMENT >::Volume

private

The volume of the fluid.

◆ Volume_constraint_mesh_pt

template<class ELEMENT >

Mesh * CapProblem< ELEMENT >::Volume_constraint_mesh_pt

private

The volume constraint mesh.

Pointer to the volume constraint mesh.

Referenced by CapProblem< ELEMENT >::CapProblem().

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

Public Member Functions

Public Attributes

Private Attributes

Additional Inherited Members

Detailed Description

template<class ELEMENT> class CapProblem< ELEMENT >

Constructor & Destructor Documentation

◆ CapProblem() [1/4]

◆ ~CapProblem() [1/2]

◆ CapProblem() [2/4]

◆ CapProblem() [3/4]

◆ ~CapProblem() [2/2]

◆ CapProblem() [4/4]

Member Function Documentation

◆ actions_before_newton_convergence_check() [1/4]

◆ actions_before_newton_convergence_check() [2/4]

◆ actions_before_newton_convergence_check() [3/4]

◆ actions_before_newton_convergence_check() [4/4]

◆ create_volume_constraint_elements() [1/4]

◆ create_volume_constraint_elements() [2/4]

◆ create_volume_constraint_elements() [3/4]

◆ create_volume_constraint_elements() [4/4]

◆ doc_solution() [1/3]

◆ doc_solution() [2/3]

◆ doc_solution() [3/3]

◆ finish_problem_setup()

◆ parameter_study() [1/3]

◆ parameter_study() [2/3]

◆ parameter_study() [3/3]

◆ set_boundary_conditions()

◆ solve_system()

Member Data Documentation

◆ Angle

◆ Bulk_mesh_pt [1/2]

◆ Bulk_mesh_pt [2/2]

◆ Ca

◆ External_pressure_data_pt

◆ Pext

◆ Point_mesh_pt

◆ Surface_mesh_pt

◆ Trace_file

◆ Traded_pressure_data_pt

◆ Volume

◆ Volume_constraint_mesh_pt

template<class ELEMENT>
class CapProblem< ELEMENT >