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libMesh::TwostepTimeSolver Class Reference

#include <twostep_time_solver.h>

Inheritance diagram for libMesh::TwostepTimeSolver:

List of all members.

Public Types

typedef AdaptiveTimeSolver Parent
typedef DifferentiableSystem sys_type

Public Member Functions

 TwostepTimeSolver (sys_type &s)
 ~TwostepTimeSolver ()
void solve ()
virtual void init ()
virtual void reinit ()
virtual void advance_timestep ()
virtual Real error_order () const
virtual bool element_residual (bool get_jacobian, DiffContext &)
virtual bool side_residual (bool get_jacobian, DiffContext &)
virtual bool nonlocal_residual (bool get_jacobian, DiffContext &)
virtual UniquePtr< DiffSolver > & diff_solver ()
virtual UniquePtr
< LinearSolver< Number > > & 
linear_solver ()
virtual void init_data ()
virtual void adjoint_advance_timestep ()
virtual void retrieve_timestep ()
Number old_nonlinear_solution (const dof_id_type global_dof_number) const
virtual Real du (const SystemNorm &norm) const
virtual bool is_steady () const
virtual void before_timestep ()
const sys_typesystem () const
sys_typesystem ()
void set_solution_history (const SolutionHistory &_solution_history)
bool is_adjoint () const
void set_is_adjoint (bool _is_adjoint_value)

Static Public Member Functions

static std::string get_info ()
static void print_info (std::ostream &out=libMesh::out)
static unsigned int n_objects ()
static void enable_print_counter_info ()
static void disable_print_counter_info ()

Public Attributes

UniquePtr< UnsteadySolvercore_time_solver
SystemNorm component_norm
std::vector< float > component_scale
Real target_tolerance
Real upper_tolerance
Real max_deltat
Real min_deltat
Real max_growth
bool global_tolerance
UniquePtr< NumericVector
< Number > > 
old_local_nonlinear_solution
bool quiet
unsigned int reduce_deltat_on_diffsolver_failure

Protected Types

typedef bool(DifferentiablePhysics::* ResFuncType )(bool, DiffContext &)
typedef void(DiffContext::* ReinitFuncType )(Real)
typedef std::map< std::string,
std::pair< unsigned int,
unsigned int > > 
Counts

Protected Member Functions

virtual Real calculate_norm (System &, NumericVector< Number > &)
void increment_constructor_count (const std::string &name)
void increment_destructor_count (const std::string &name)

Protected Attributes

Real last_deltat
bool first_solve
bool first_adjoint_step
UniquePtr< DiffSolver_diff_solver
UniquePtr< LinearSolver< Number > > _linear_solver
sys_type_system
UniquePtr< SolutionHistorysolution_history

Static Protected Attributes

static Counts _counts
static Threads::atomic
< unsigned int > 
_n_objects
static Threads::spin_mutex _mutex
static bool _enable_print_counter = true

Detailed Description

This class wraps another UnsteadySolver derived class, and compares the results of timestepping with deltat and timestepping with 2*deltat to adjust future timestep lengths.

Currently this class only works on fully coupled Systems

This class is part of the new DifferentiableSystem framework, which is still experimental. Users of this framework should beware of bugs and future API changes.

Author:
Roy H. Stogner 2007

Definition at line 52 of file twostep_time_solver.h.


Member Typedef Documentation

typedef std::map<std::string, std::pair<unsigned int, unsigned int> > libMesh::ReferenceCounter::Counts [protected, inherited]

Data structure to log the information. The log is identified by the class name.

Definition at line 113 of file reference_counter.h.

The parent class

Reimplemented from libMesh::AdaptiveTimeSolver.

Definition at line 58 of file twostep_time_solver.h.

typedef void(DiffContext::* libMesh::TimeSolver::ReinitFuncType)(Real) [protected, inherited]

Definition at line 278 of file time_solver.h.

typedef bool(DifferentiablePhysics::* libMesh::TimeSolver::ResFuncType)(bool, DiffContext &) [protected, inherited]

Definitions of argument types for use in refactoring subclasses.

Definition at line 276 of file time_solver.h.

The type of system

Reimplemented in libMesh::EigenTimeSolver, and libMesh::SteadySolver.

Definition at line 66 of file time_solver.h.


Constructor & Destructor Documentation

Constructor. Requires a reference to the system to be solved.

Definition at line 29 of file twostep_time_solver.C.

References libMesh::AdaptiveTimeSolver::core_time_solver.

  : AdaptiveTimeSolver(s)

{
  // We start with a reasonable time solver: implicit Euler
  core_time_solver.reset(new EulerSolver(s));
}

Destructor.

Definition at line 39 of file twostep_time_solver.C.

{
}

Member Function Documentation

This method advances the adjoint solution to the previous timestep, after an adjoint_solve() has been performed. This will be done before every UnsteadySolver::adjoint_solve().

Reimplemented from libMesh::TimeSolver.

Definition at line 178 of file unsteady_solver.C.

References libMesh::TimeSolver::_system, libMesh::DifferentiableSystem::deltat, libMesh::UnsteadySolver::first_adjoint_step, libMesh::System::get_dof_map(), libMesh::DofMap::get_send_list(), libMesh::System::get_vector(), libMesh::NumericVector< T >::localize(), libMesh::UnsteadySolver::old_local_nonlinear_solution, libMesh::TimeSolver::solution_history, and libMesh::System::time.

{
  // On the first call of this function, we dont save the adjoint solution or
  // decrement the time, we just call the retrieve function below
  if(!first_adjoint_step)
    {
      // Call the store function to store the last adjoint before decrementing the time
      solution_history->store();
      // Decrement the system time
      _system.time -= _system.deltat;
    }
  else
    {
      first_adjoint_step = false;
    }

  // Retrieve the primal solution vectors at this time using the
  // solution_history object
  solution_history->retrieve();

  // Dont forget to localize the old_nonlinear_solution !
  _system.get_vector("_old_nonlinear_solution").localize
    (*old_local_nonlinear_solution,
     _system.get_dof_map().get_send_list());
}
void libMesh::AdaptiveTimeSolver::advance_timestep ( ) [virtual, inherited]

This method advances the solution to the next timestep, after a solve() has been performed. Often this will be done after every UnsteadySolver::solve(), but adaptive mesh refinement and/or adaptive time step selection may require some solve() steps to be repeated.

Reimplemented from libMesh::UnsteadySolver.

Definition at line 87 of file adaptive_time_solver.C.

References libMesh::TimeSolver::_system, libMesh::UnsteadySolver::first_solve, libMesh::System::get_vector(), libMesh::AdaptiveTimeSolver::last_deltat, libMesh::System::solution, and libMesh::System::time.

{
  NumericVector<Number> &old_nonlinear_soln =
    _system.get_vector("_old_nonlinear_solution");
  NumericVector<Number> &nonlinear_solution =
    *(_system.solution);
  //    _system.get_vector("_nonlinear_solution");

  old_nonlinear_soln = nonlinear_solution;

  if (!first_solve)
    _system.time += last_deltat;
}
virtual void libMesh::TimeSolver::before_timestep ( ) [inline, virtual, inherited]

This method is for subclasses or users to override to do arbitrary processing between timesteps

Definition at line 168 of file time_solver.h.

{}
Real libMesh::AdaptiveTimeSolver::calculate_norm ( System s,
NumericVector< Number > &  v 
) [protected, virtual, inherited]

A helper function to calculate error norms

Definition at line 156 of file adaptive_time_solver.C.

References libMesh::System::calculate_norm(), and libMesh::AdaptiveTimeSolver::component_norm.

Referenced by solve().

{
  return s.calculate_norm(v, component_norm);
}
UniquePtr< DiffSolver > & libMesh::AdaptiveTimeSolver::diff_solver ( ) [virtual, inherited]

An implicit linear or nonlinear solver to use at each timestep.

Reimplemented from libMesh::TimeSolver.

Definition at line 142 of file adaptive_time_solver.C.

References libMesh::AdaptiveTimeSolver::core_time_solver.

{
  return core_time_solver->diff_solver();
}
Real libMesh::UnsteadySolver::du ( const SystemNorm norm) const [virtual, inherited]

Computes the size of ||u^{n+1} - u^{n}|| in some norm.

Note that, while you can always call this function, its result may or may not be very meaningful. For example, if you call this function right after calling advance_timestep() then you'll get a result of zero since old_nonlinear_solution is set equal to nonlinear_solution in this function.

Implements libMesh::TimeSolver.

Definition at line 227 of file unsteady_solver.C.

References libMesh::TimeSolver::_system, libMesh::System::calculate_norm(), libMesh::System::get_vector(), and libMesh::System::solution.

{

  UniquePtr<NumericVector<Number> > solution_copy =
    _system.solution->clone();

  solution_copy->add(-1., _system.get_vector("_old_nonlinear_solution"));

  solution_copy->close();

  return _system.calculate_norm(*solution_copy, norm);
}
bool libMesh::AdaptiveTimeSolver::element_residual ( bool  get_jacobian,
DiffContext context 
) [virtual, inherited]

This method is passed on to the core_time_solver

Implements libMesh::TimeSolver.

Definition at line 112 of file adaptive_time_solver.C.

References libMesh::AdaptiveTimeSolver::core_time_solver, and libMesh::libmesh_assert().

{
  libmesh_assert(core_time_solver.get());

  return core_time_solver->element_residual(request_jacobian, context);
}

Methods to enable/disable the reference counter output from print_info()

Definition at line 100 of file reference_counter.C.

References libMesh::ReferenceCounter::_enable_print_counter.

{
  _enable_print_counter = true;
  return;
}
Real libMesh::AdaptiveTimeSolver::error_order ( ) const [virtual, inherited]

This method is passed on to the core_time_solver

Implements libMesh::UnsteadySolver.

Definition at line 103 of file adaptive_time_solver.C.

References libMesh::AdaptiveTimeSolver::core_time_solver, and libMesh::libmesh_assert().

{
  libmesh_assert(core_time_solver.get());

  return core_time_solver->error_order();
}
std::string libMesh::ReferenceCounter::get_info ( ) [static, inherited]

Gets a string containing the reference information.

Definition at line 47 of file reference_counter.C.

References libMesh::ReferenceCounter::_counts, and libMesh::Quality::name().

Referenced by libMesh::ReferenceCounter::print_info().

{
#if defined(LIBMESH_ENABLE_REFERENCE_COUNTING) && defined(DEBUG)

  std::ostringstream oss;

  oss << '\n'
      << " ---------------------------------------------------------------------------- \n"
      << "| Reference count information                                                |\n"
      << " ---------------------------------------------------------------------------- \n";

  for (Counts::iterator it = _counts.begin();
       it != _counts.end(); ++it)
    {
      const std::string name(it->first);
      const unsigned int creations    = it->second.first;
      const unsigned int destructions = it->second.second;

      oss << "| " << name << " reference count information:\n"
          << "|  Creations:    " << creations    << '\n'
          << "|  Destructions: " << destructions << '\n';
    }

  oss << " ---------------------------------------------------------------------------- \n";

  return oss.str();

#else

  return "";

#endif
}
void libMesh::ReferenceCounter::increment_constructor_count ( const std::string &  name) [inline, protected, inherited]

Increments the construction counter. Should be called in the constructor of any derived class that will be reference counted.

Definition at line 163 of file reference_counter.h.

References libMesh::ReferenceCounter::_counts, libMesh::Quality::name(), and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCountedObject< RBParametrized >::ReferenceCountedObject().

{
  Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
  std::pair<unsigned int, unsigned int>& p = _counts[name];

  p.first++;
}
void libMesh::ReferenceCounter::increment_destructor_count ( const std::string &  name) [inline, protected, inherited]

Increments the destruction counter. Should be called in the destructor of any derived class that will be reference counted.

Definition at line 176 of file reference_counter.h.

References libMesh::ReferenceCounter::_counts, libMesh::Quality::name(), and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCountedObject< RBParametrized >::~ReferenceCountedObject().

{
  Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
  std::pair<unsigned int, unsigned int>& p = _counts[name];

  p.second++;
}
void libMesh::AdaptiveTimeSolver::init ( ) [virtual, inherited]

The initialization function. This method is used to initialize internal data structures before a simulation begins.

Reimplemented from libMesh::UnsteadySolver.

Definition at line 58 of file adaptive_time_solver.C.

References libMesh::AdaptiveTimeSolver::core_time_solver, libMesh::libmesh_assert(), and libMesh::UnsteadySolver::old_local_nonlinear_solution.

{
  libmesh_assert(core_time_solver.get());

  // We override this because our core_time_solver is the one that
  // needs to handle new vectors, diff_solver->init(), etc
  core_time_solver->init();

  // As an UnsteadySolver, we have an old_local_nonlinear_solution, but it
  // isn't pointing to the right place - fix it
  //
  // This leaves us with two UniquePtrs holding the same pointer - dangerous
  // for future use.  Replace with shared_ptr?
  old_local_nonlinear_solution =
    UniquePtr<NumericVector<Number> >(core_time_solver->old_local_nonlinear_solution.get());
}
void libMesh::UnsteadySolver::init_data ( ) [virtual, inherited]

The data initialization function. This method is used to initialize internal data structures after the underlying System has been initialized

Reimplemented from libMesh::TimeSolver.

Definition at line 55 of file unsteady_solver.C.

References libMesh::TimeSolver::_system, libMesh::System::get_dof_map(), libMesh::DofMap::get_send_list(), libMesh::GHOSTED, libMesh::System::n_dofs(), libMesh::System::n_local_dofs(), libMesh::UnsteadySolver::old_local_nonlinear_solution, and libMesh::SERIAL.

bool libMesh::TimeSolver::is_adjoint ( ) const [inline, inherited]

Accessor for querying whether we need to do a primal or adjoint solve

Definition at line 233 of file time_solver.h.

References libMesh::TimeSolver::_is_adjoint.

Referenced by libMesh::FEMSystem::build_context().

  { return _is_adjoint; }
virtual bool libMesh::UnsteadySolver::is_steady ( ) const [inline, virtual, inherited]

This is not a steady-state solver.

Implements libMesh::TimeSolver.

Definition at line 146 of file unsteady_solver.h.

{ return false; }
UniquePtr< LinearSolver< Number > > & libMesh::AdaptiveTimeSolver::linear_solver ( ) [virtual, inherited]

An implicit linear solver to use for adjoint and sensitivity problems.

Reimplemented from libMesh::TimeSolver.

Definition at line 149 of file adaptive_time_solver.C.

References libMesh::AdaptiveTimeSolver::core_time_solver.

{
  return core_time_solver->linear_solver();
}
static unsigned int libMesh::ReferenceCounter::n_objects ( ) [inline, static, inherited]

Prints the number of outstanding (created, but not yet destroyed) objects.

Definition at line 79 of file reference_counter.h.

References libMesh::ReferenceCounter::_n_objects.

Referenced by libMesh::LibMeshInit::~LibMeshInit().

  { return _n_objects; }
bool libMesh::AdaptiveTimeSolver::nonlocal_residual ( bool  get_jacobian,
DiffContext context 
) [virtual, inherited]

This method is passed on to the core_time_solver

Implements libMesh::TimeSolver.

Definition at line 132 of file adaptive_time_solver.C.

References libMesh::AdaptiveTimeSolver::core_time_solver, and libMesh::libmesh_assert().

{
  libmesh_assert(core_time_solver.get());

  return core_time_solver->nonlocal_residual(request_jacobian, context);
}
Number libMesh::UnsteadySolver::old_nonlinear_solution ( const dof_id_type  global_dof_number) const [inherited]
Returns:
the old nonlinear solution for the specified global DOF.

Definition at line 216 of file unsteady_solver.C.

References libMesh::TimeSolver::_system, libMesh::System::get_dof_map(), libMesh::DofMap::n_dofs(), and libMesh::UnsteadySolver::old_local_nonlinear_solution.

Referenced by libMesh::EulerSolver::_general_residual(), and libMesh::Euler2Solver::_general_residual().

{
  libmesh_assert_less (global_dof_number, _system.get_dof_map().n_dofs());
  libmesh_assert_less (global_dof_number, old_local_nonlinear_solution->size());

  return (*old_local_nonlinear_solution)(global_dof_number);
}
void libMesh::ReferenceCounter::print_info ( std::ostream &  out = libMesh::out) [static, inherited]

Prints the reference information, by default to libMesh::out.

Definition at line 88 of file reference_counter.C.

References libMesh::ReferenceCounter::_enable_print_counter, and libMesh::ReferenceCounter::get_info().

Referenced by libMesh::LibMeshInit::~LibMeshInit().

void libMesh::AdaptiveTimeSolver::reinit ( ) [virtual, inherited]

The reinitialization function. This method is used to resize internal data vectors after a mesh change.

Reimplemented from libMesh::UnsteadySolver.

Definition at line 77 of file adaptive_time_solver.C.

References libMesh::AdaptiveTimeSolver::core_time_solver, and libMesh::libmesh_assert().

{
  libmesh_assert(core_time_solver.get());

  // We override this because our core_time_solver is the one that
  // needs to handle new vectors, diff_solver->reinit(), etc
  core_time_solver->reinit();
}
void libMesh::UnsteadySolver::retrieve_timestep ( ) [virtual, inherited]

This method retrieves all the stored solutions at the current system.time

Reimplemented from libMesh::TimeSolver.

Definition at line 204 of file unsteady_solver.C.

References libMesh::TimeSolver::_system, libMesh::System::get_dof_map(), libMesh::DofMap::get_send_list(), libMesh::System::get_vector(), libMesh::NumericVector< T >::localize(), libMesh::UnsteadySolver::old_local_nonlinear_solution, and libMesh::TimeSolver::solution_history.

{
  // Retrieve all the stored vectors at the current time
  solution_history->retrieve();

  // Dont forget to localize the old_nonlinear_solution !
  _system.get_vector("_old_nonlinear_solution").localize
    (*old_local_nonlinear_solution,
     _system.get_dof_map().get_send_list());
}
void libMesh::TimeSolver::set_is_adjoint ( bool  _is_adjoint_value) [inline, inherited]

Accessor for setting whether we need to do a primal or adjoint solve

Definition at line 240 of file time_solver.h.

References libMesh::TimeSolver::_is_adjoint.

Referenced by libMesh::DifferentiableSystem::adjoint_solve(), libMesh::FEMSystem::postprocess(), and libMesh::DifferentiableSystem::solve().

  { _is_adjoint = _is_adjoint_value; }
void libMesh::TimeSolver::set_solution_history ( const SolutionHistory _solution_history) [inherited]

A setter function users will employ if they need to do something other than save no solution history

Definition at line 97 of file time_solver.C.

References libMesh::SolutionHistory::clone(), and libMesh::TimeSolver::solution_history.

{
  solution_history = _solution_history.clone();
}
bool libMesh::AdaptiveTimeSolver::side_residual ( bool  get_jacobian,
DiffContext context 
) [virtual, inherited]

This method is passed on to the core_time_solver

Implements libMesh::TimeSolver.

Definition at line 122 of file adaptive_time_solver.C.

References libMesh::AdaptiveTimeSolver::core_time_solver, and libMesh::libmesh_assert().

{
  libmesh_assert(core_time_solver.get());

  return core_time_solver->side_residual(request_jacobian, context);
}

This method solves for the solution at the next timestep. Usually we will only need to solve one (non)linear system per timestep, but more complex subclasses may override this.

Implements libMesh::AdaptiveTimeSolver.

Definition at line 45 of file twostep_time_solver.C.

References libMesh::TimeSolver::_system, libMesh::AdaptiveTimeSolver::calculate_norm(), libMesh::NumericVector< T >::clone(), libMesh::AdaptiveTimeSolver::core_time_solver, libMesh::DifferentiableSystem::deltat, libMesh::UnsteadySolver::first_solve, libMesh::System::get_vector(), libMesh::AdaptiveTimeSolver::global_tolerance, libMesh::AdaptiveTimeSolver::last_deltat, libMesh::libmesh_assert(), std::max(), libMesh::AdaptiveTimeSolver::max_deltat, libMesh::AdaptiveTimeSolver::max_growth, libMesh::AdaptiveTimeSolver::min_deltat, libMesh::out, std::pow(), libMesh::TimeSolver::quiet, libMesh::Real, libMesh::TimeSolver::reduce_deltat_on_diffsolver_failure, libMesh::System::solution, libMesh::AdaptiveTimeSolver::target_tolerance, libMesh::System::time, and libMesh::AdaptiveTimeSolver::upper_tolerance.

{
  libmesh_assert(core_time_solver.get());

  // The core_time_solver will handle any first_solve actions
  first_solve = false;

  // We may have to repeat timesteps entirely if our error is bad
  // enough
  bool max_tolerance_met = false;

  // Calculating error values each time
  Real single_norm(0.), double_norm(0.), error_norm(0.),
    relative_error(0.);

  while (!max_tolerance_met)
    {
      // If we've been asked to reduce deltat if necessary, make sure
      // the core timesolver does so
      core_time_solver->reduce_deltat_on_diffsolver_failure =
        this->reduce_deltat_on_diffsolver_failure;

      if (!quiet)
        {
          libMesh::out << "\n === Computing adaptive timestep === "
                       << std::endl;
        }

      // Use the double-length timestep first (so the
      // old_nonlinear_solution won't have to change)
      core_time_solver->solve();

      // Save a copy of the double-length nonlinear solution
      // and the old nonlinear solution
      UniquePtr<NumericVector<Number> > double_solution =
        _system.solution->clone();
      UniquePtr<NumericVector<Number> > old_solution =
        _system.get_vector("_old_nonlinear_solution").clone();

      double_norm = calculate_norm(_system, *double_solution);
      if (!quiet)
        {
          libMesh::out << "Double norm = " << double_norm << std::endl;
        }

      // Then reset the initial guess for our single-length calcs
      *(_system.solution) = _system.get_vector("_old_nonlinear_solution");

      // Call two single-length timesteps
      // Be sure that the core_time_solver does not change the
      // timestep here.  (This is unlikely because it just succeeded
      // with a timestep twice as large!)
      // FIXME: even if diffsolver failure is unlikely, we ought to
      // do *something* if it happens
      core_time_solver->reduce_deltat_on_diffsolver_failure = 0;

      Real old_time = _system.time;
      Real old_deltat = _system.deltat;
      _system.deltat *= 0.5;
      core_time_solver->solve();
      core_time_solver->advance_timestep();
      core_time_solver->solve();

      single_norm = calculate_norm(_system, *_system.solution);
      if (!quiet)
        {
          libMesh::out << "Single norm = " << single_norm << std::endl;
        }

      // Reset the core_time_solver's reduce_deltat... value.
      core_time_solver->reduce_deltat_on_diffsolver_failure =
        this->reduce_deltat_on_diffsolver_failure;

      // But then back off just in case our advance_timestep() isn't
      // called.
      // FIXME: this probably doesn't work with multistep methods
      _system.get_vector("_old_nonlinear_solution") = *old_solution;
      _system.time = old_time;
      _system.deltat = old_deltat;

      // Find the relative error
      *double_solution -= *(_system.solution);
      error_norm  = calculate_norm(_system, *double_solution);
      relative_error = error_norm / _system.deltat /
        std::max(double_norm, single_norm);

      // If the relative error makes no sense, we're done
      if (!double_norm && !single_norm)
        return;

      if (!quiet)
        {
          libMesh::out << "Error norm = " << error_norm << std::endl;
          libMesh::out << "Local relative error = "
                       << (error_norm /
                           std::max(double_norm, single_norm))
                       << std::endl;
          libMesh::out << "Global relative error = "
                       << (error_norm / _system.deltat /
                           std::max(double_norm, single_norm))
                       << std::endl;
          libMesh::out << "old delta t = " << _system.deltat << std::endl;
        }

      // If our upper tolerance is negative, that means we want to set
      // it based on the first successful time step
      if (this->upper_tolerance < 0)
        this->upper_tolerance = -this->upper_tolerance * relative_error;

      // If we haven't met our upper error tolerance, we'll have to
      // repeat this timestep entirely
      if (this->upper_tolerance && relative_error > this->upper_tolerance)
        {
          // Reset the initial guess for our next try
          *(_system.solution) =
            _system.get_vector("_old_nonlinear_solution");

          // Chop delta t in half
          _system.deltat /= 2.;

          if (!quiet)
            {
              libMesh::out << "Failed to meet upper error tolerance"
                           << std::endl;
              libMesh::out << "Retrying with delta t = "
                           << _system.deltat << std::endl;
            }
        }
      else
        max_tolerance_met = true;
    }


  // Otherwise, compare the relative error to the tolerance
  // and adjust deltat
  last_deltat = _system.deltat;

  // If our target tolerance is negative, that means we want to set
  // it based on the first successful time step
  if (this->target_tolerance < 0)
    this->target_tolerance = -this->target_tolerance * relative_error;

  const Real global_shrink_or_growth_factor =
    std::pow(this->target_tolerance / relative_error,
             static_cast<Real>(1. / core_time_solver->error_order()));

  const Real local_shrink_or_growth_factor =
    std::pow(this->target_tolerance /
             (error_norm/std::max(double_norm, single_norm)),
             static_cast<Real>(1. / (core_time_solver->error_order()+1.)));

  if (!quiet)
    {
      libMesh::out << "The global growth/shrink factor is: "
                   << global_shrink_or_growth_factor << std::endl;
      libMesh::out << "The local growth/shrink factor is: "
                   << local_shrink_or_growth_factor << std::endl;
    }

  // The local s.o.g. factor is based on the expected **local**
  // truncation error for the timestepping method, the global
  // s.o.g. factor is based on the method's **global** truncation
  // error.  You can shrink/grow the timestep to attempt to satisfy
  // either a global or local time-discretization error tolerance.

  Real shrink_or_growth_factor =
    this->global_tolerance ? global_shrink_or_growth_factor :
    local_shrink_or_growth_factor;

  if (this->max_growth && this->max_growth < shrink_or_growth_factor)
    {
      if (!quiet && this->global_tolerance)
        {
          libMesh::out << "delta t is constrained by max_growth" << std::endl;
        }
      shrink_or_growth_factor = this->max_growth;
    }

  _system.deltat *= shrink_or_growth_factor;

  // Restrict deltat to max-allowable value if necessary
  if ((this->max_deltat != 0.0) && (_system.deltat > this->max_deltat))
    {
      if (!quiet)
        {
          libMesh::out << "delta t is constrained by maximum-allowable delta t."
                       << std::endl;
        }
      _system.deltat = this->max_deltat;
    }

  // Restrict deltat to min-allowable value if necessary
  if ((this->min_deltat != 0.0) && (_system.deltat < this->min_deltat))
    {
      if (!quiet)
        {
          libMesh::out << "delta t is constrained by minimum-allowable delta t."
                       << std::endl;
        }
      _system.deltat = this->min_deltat;
    }

  if (!quiet)
    {
      libMesh::out << "new delta t = " << _system.deltat << std::endl;
    }
}
const sys_type& libMesh::TimeSolver::system ( ) const [inline, inherited]
Returns:
a constant reference to the system we are solving.

Definition at line 173 of file time_solver.h.

References libMesh::TimeSolver::_system.

Referenced by libMesh::TimeSolver::reinit(), and libMesh::TimeSolver::solve().

{ return _system; }
sys_type& libMesh::TimeSolver::system ( ) [inline, inherited]
Returns:
a writeable reference to the system we are solving.

Definition at line 178 of file time_solver.h.

References libMesh::TimeSolver::_system.

{ return _system; }

Member Data Documentation

UniquePtr<DiffSolver> libMesh::TimeSolver::_diff_solver [protected, inherited]

An implicit linear or nonlinear solver to use at each timestep.

Definition at line 248 of file time_solver.h.

Referenced by libMesh::TimeSolver::diff_solver(), and libMesh::UnsteadySolver::solve().

bool libMesh::ReferenceCounter::_enable_print_counter = true [static, protected, inherited]

Flag to control whether reference count information is printed when print_info is called.

Definition at line 137 of file reference_counter.h.

Referenced by libMesh::ReferenceCounter::disable_print_counter_info(), libMesh::ReferenceCounter::enable_print_counter_info(), and libMesh::ReferenceCounter::print_info().

UniquePtr<LinearSolver<Number> > libMesh::TimeSolver::_linear_solver [protected, inherited]

An implicit linear solver to use for adjoint problems.

Definition at line 253 of file time_solver.h.

Referenced by libMesh::TimeSolver::linear_solver().

Mutual exclusion object to enable thread-safe reference counting.

Definition at line 131 of file reference_counter.h.

Threads::atomic< unsigned int > libMesh::ReferenceCounter::_n_objects [static, protected, inherited]

The number of objects. Print the reference count information when the number returns to 0.

Definition at line 126 of file reference_counter.h.

Referenced by libMesh::ReferenceCounter::n_objects(), libMesh::ReferenceCounter::ReferenceCounter(), and libMesh::ReferenceCounter::~ReferenceCounter().

Error calculations are done in this norm, DISCRETE_L2 by default.

Definition at line 121 of file adaptive_time_solver.h.

Referenced by libMesh::AdaptiveTimeSolver::calculate_norm().

std::vector<float> libMesh::AdaptiveTimeSolver::component_scale [inherited]

If component_norms is non-empty, each variable's contribution to the error of a system will also be scaled by component_scale[var], unless component_scale is empty in which case all variables will be weighted equally.

Definition at line 129 of file adaptive_time_solver.h.

bool libMesh::UnsteadySolver::first_adjoint_step [protected, inherited]

A bool that will be true the first time adjoint_advance_timestep() is called, (when the primal solution is to be used to set adjoint boundary conditions) and false thereafter

Definition at line 160 of file unsteady_solver.h.

Referenced by libMesh::UnsteadySolver::adjoint_advance_timestep().

bool libMesh::UnsteadySolver::first_solve [protected, inherited]

A bool that will be true the first time solve() is called, and false thereafter

Definition at line 154 of file unsteady_solver.h.

Referenced by libMesh::AdaptiveTimeSolver::advance_timestep(), libMesh::UnsteadySolver::advance_timestep(), solve(), and libMesh::UnsteadySolver::solve().

This flag, which is true by default, grows (shrinks) the timestep based on the expected global accuracy of the timestepping scheme. Global in this sense means the cumulative final-time accuracy of the scheme. For example, the backward Euler scheme's truncation error is locally of order 2, so that after N timesteps of size deltat, the result is first-order accurate. If you set this to false, you can grow (shrink) your timestep based on the local accuracy rather than the global accuracy of the core TimeSolver. Note that by setting this value to false you may fail to achieve the predicted convergence in time of the underlying method, however it may be possible to get more fine-grained control over step sizes as well.

Definition at line 199 of file adaptive_time_solver.h.

Referenced by solve().

We need to store the value of the last deltat used, so that advance_timestep() will increment the system time correctly.

Definition at line 208 of file adaptive_time_solver.h.

Referenced by libMesh::AdaptiveTimeSolver::advance_timestep(), and solve().

Do not allow the adaptive time solver to select deltat > max_deltat. If you use the default max_deltat=0.0, then deltat is unlimited.

Definition at line 169 of file adaptive_time_solver.h.

Referenced by solve().

Do not allow the adaptive time solver to select a new deltat greater than max_growth times the old deltat. If you use the default max_growth=0.0, then the deltat growth is unlimited.

Definition at line 183 of file adaptive_time_solver.h.

Referenced by solve().

Do not allow the adaptive time solver to select deltat < min_deltat. The default value is 0.0.

Definition at line 175 of file adaptive_time_solver.h.

Referenced by solve().

bool libMesh::TimeSolver::quiet [inherited]

Print extra debugging information if quiet == false.

Definition at line 193 of file time_solver.h.

Referenced by solve(), libMesh::UnsteadySolver::solve(), and libMesh::EigenTimeSolver::solve().

This value (which defaults to zero) is the number of times the TimeSolver is allowed to halve deltat and let the DiffSolver repeat the latest failed solve with a reduced timestep. Note that this has no effect for SteadySolvers. Note that you must set at least one of the DiffSolver flags "continue_after_max_iterations" or "continue_after_backtrack_failure" to allow the TimeSolver to retry the solve.

Definition at line 221 of file time_solver.h.

Referenced by solve(), and libMesh::UnsteadySolver::solve().

UniquePtr<SolutionHistory> libMesh::TimeSolver::solution_history [protected, inherited]

An UniquePtr to a SolutionHistory object. Default is NoSolutionHistory, which the user can override by declaring a different kind of SolutionHistory in the application

Definition at line 270 of file time_solver.h.

Referenced by libMesh::UnsteadySolver::adjoint_advance_timestep(), libMesh::UnsteadySolver::advance_timestep(), libMesh::UnsteadySolver::retrieve_timestep(), and libMesh::TimeSolver::set_solution_history().

This tolerance is the target relative error between an exact time integration and a single time step output, scaled by deltat. integrator, scaled by deltat. If the estimated error exceeds or undershoots the target error tolerance, future timesteps will be run with deltat shrunk or grown to compensate.

The default value is 1.0e-2; obviously users should select their own tolerance.

If a *negative* target_tolerance is specified, then its absolute value is used to scale the estimated error from the first simulation time step, and this becomes the target tolerance of all future time steps.

Definition at line 146 of file adaptive_time_solver.h.

Referenced by solve().

This tolerance is the maximum relative error between an exact time integration and a single time step output, scaled by deltat. If this error tolerance is exceeded by the estimated error of the current time step, that time step will be repeated with a smaller deltat.

If you use the default upper_tolerance=0.0, then the current time step will not be repeated regardless of estimated error.

If a *negative* upper_tolerance is specified, then its absolute value is used to scale the estimated error from the first simulation time step, and this becomes the upper tolerance of all future time steps.

Definition at line 163 of file adaptive_time_solver.h.

Referenced by solve().


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