Пример #1
0
Real random(const Teuchos::RCP<Epetra_Comm> &comm) {
  Real val = 0.0;
  if ( comm->MyPID()==0 ) {
    val = (Real)rand()/(Real)RAND_MAX;
  }
  comm->Broadcast(&val,1,0);
  return val;
}
Пример #2
0
int main(int argc, char *argv[])
{
  
  // Initialize MPI
  Teuchos::GlobalMPISession mpiSession(&argc,&argv);

  int ierr = 0;
  int MyPID = 0;
  double alpha = 1.00; // stable steady state
  double beta = BETA_INIT;
  double D1 = 1.0/40.0;
  double D2 = 1.0/40.0;
  int NumGlobalNodes = 10;  // default
  int spatialProcs   = 1;   // default
  int numTimeSteps   = 100;  // default
  
  try {

    // Check for verbose output
    bool verbose = false;
    if (argc>1) 
      if (argv[1][0]=='-' && argv[1][1]=='v') 
	verbose = true;

    // Get the number of elements from the command line
    if ((argc > 2) && (verbose))
      NumGlobalNodes = atoi(argv[2]) + 1;
    else if ((argc > 1) && (!verbose))
      NumGlobalNodes = atoi(argv[1]) + 1;

    // Get the number of processors to use for the spatial problem
    if ((argc > 3) && (verbose))
      spatialProcs = atoi(argv[3]);
    else if ((argc > 2) && (!verbose))
      spatialProcs = atoi(argv[2]);

    // Get the number of processors to use for the spatial problem
    if ((argc > 4) && (verbose))
      numTimeSteps = atoi(argv[4]);
    else if ((argc > 3) && (!verbose))
      numTimeSteps = atoi(argv[3]);

    // MPI MANIPULATION FOR XYZT PROBLEMS
#ifdef HAVE_MPI
    Teuchos::RCP<EpetraExt::MultiMpiComm> globalComm = 
      Teuchos::rcp(new EpetraExt::MultiMpiComm(MPI_COMM_WORLD, 
					       spatialProcs, numTimeSteps));
#else
    Teuchos::RCP<EpetraExt::MultiSerialComm> globalComm = 
      Teuchos::rcp(new EpetraExt::MultiSerialComm(numTimeSteps));
#endif
    Epetra_Comm& Comm = globalComm->SubDomainComm();
    MyPID = globalComm->MyPID();

    // Get the total number of processors
    int NumProc = Comm.NumProc();

    // The number of unknowns must be at least equal to the 
    // number of processors.
    if (NumGlobalNodes < NumProc) {
      std::cout << "numGlobalNodes = " << NumGlobalNodes 
		<< " cannot be < number of processors = " << NumProc 
		<< std::endl;
      exit(1);
    }

    // Create the Brusselator problem class.  This creates all required
    // Epetra objects for the problem and allows calls to the 
    // function (F) and Jacobian evaluation routines.
    Brusselator::OverlapType OType = Brusselator::ELEMENTS;
    Brusselator Problem(NumGlobalNodes, Comm, OType);
    
    // Get the vector from the Problem
    Epetra_Vector& soln = Problem.getSolution();
    
    // Begin Nonlinear Solver ************************************
    
    // Create the top level parameter list
    Teuchos::RCP<Teuchos::ParameterList> paramList =
      Teuchos::rcp(new Teuchos::ParameterList);
    getParamList(&(*paramList), MyPID);
    
    // Sublist for "Linear Solver"
    Teuchos::ParameterList& lsParams = 
      paramList->sublist("NOX").sublist("Direction").sublist("Newton").sublist("Linear Solver");
    
    // Sublist for "Printing"
    Teuchos::ParameterList& printParams = 
      paramList->sublist("NOX").sublist("Printing");
    
    // Change NOX priting settings if "-verbose" not requested
    if (!verbose)
      printParams.set("Output Information", NOX::Utils::Error);
      
    // Create the interface between the test problem and the nonlinear solver
    Teuchos::RCP<Problem_Interface> interface = 
      Teuchos::rcp(new Problem_Interface(Problem));
      
    // Create the Epetra_RowMatrixfor the Jacobian/Preconditioner
    Teuchos::RCP<Epetra_RowMatrix> A = 
      Teuchos::rcp(&Problem.getJacobian(),false);
      
    // Create initial guess
    Epetra_MultiVector initGuess(soln.Map(), 
				 globalComm->NumTimeStepsOnDomain());
    for (int i=0; i<globalComm->NumTimeStepsOnDomain(); i++) 
      *(initGuess(i)) = soln;
      
    // Get XYZT preconditioner linear solver parameters
    Teuchos::RCP<Teuchos::ParameterList> precLSParams = 
      Teuchos::rcp(new Teuchos::ParameterList);
    getPrecLSParams(&(*precLSParams), MyPID);

    // Get XYZT preconditioner print parameters
    Teuchos::RCP<Teuchos::ParameterList> precPrintParams = 
      Teuchos::rcp(new Teuchos::ParameterList);
    getPrecPrintParams(&(*precPrintParams), MyPID);
      
    // Change xyztPrec priting settings if "-verbose" not requested
    if (!verbose)
      precPrintParams->set("Output Information", NOX::Utils::Error);
	
    // Create the XYZT object
    Teuchos::RCP<LOCA::Epetra::Interface::xyzt> ixyzt = 
      Teuchos::rcp(new LOCA::Epetra::Interface::xyzt(interface,
                                                     initGuess, A,
                                                     globalComm,
                                                     soln, 0.5,
                                                     precPrintParams.get(),
                                                     precLSParams.get()));

    // Create the XYZT operator, solution, and preconditioner
    Teuchos::RCP<Epetra_RowMatrix> Axyzt =
      Teuchos::rcp(&(ixyzt->getJacobian()),false);
    Epetra_Vector& solnxyzt = ixyzt->getSolution();
    Teuchos::RCP<Epetra_Operator> Mxyzt = 
      Teuchos::rcp(&(ixyzt->getPreconditioner()),false);
    
    // Create the Linear System
    Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = ixyzt;
    Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = ixyzt;
    Teuchos::RCP<NOX::Epetra::Interface::Preconditioner> iPrec = 
      Teuchos::rcp(&(ixyzt->getPreconditioner()),false);
    Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linSys =
      Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(printParams, lsParams,
							iJac, Axyzt, 
							iPrec, Mxyzt, 
							solnxyzt));

    // Create full xyzt initial guess
    NOX::Epetra::Vector initialGuess(solnxyzt);
      
    // Create and initialize the parameter vector
    LOCA::ParameterVector pVector;
    pVector.addParameter("alpha",alpha);
    pVector.addParameter("beta",beta);
    pVector.addParameter("D1",D1);
    pVector.addParameter("D2",D2);
      
    // Create Epetra factory
    Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory =
      Teuchos::rcp(new LOCA::Epetra::Factory);
      
    // Create global data object
    Teuchos::RCP<LOCA::GlobalData> globalData = 
      LOCA::createGlobalData(paramList, epetraFactory);
      
    Teuchos::RCP<LOCA::Epetra::Group> grp =
      Teuchos::rcp(new LOCA::Epetra::Group(globalData, printParams,
					   iReq, initialGuess, linSys, 
					   pVector));
      
    grp->computeF();
      
    // Create the convergence tests
    Teuchos::RCP<NOX::StatusTest::NormF> absresid = 
      Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-8, 
					      NOX::StatusTest::NormF::Unscaled));
    Teuchos::RCP<NOX::StatusTest::MaxIters> maxiters = 
      Teuchos::rcp(new NOX::StatusTest::MaxIters(MAX_NEWTON_ITERS));
    Teuchos::RCP<NOX::StatusTest::Combo> combo =
      Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR));
    combo->addStatusTest(absresid);
    combo->addStatusTest(maxiters);
      
    // Create stepper
    LOCA::Stepper stepper(globalData, grp, combo, paramList);
      
    LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
      
    if (status != LOCA::Abstract::Iterator::Finished) {
      ierr =1;
      if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
	globalData->locaUtils->out() 
	  << "Stepper failed to converge!" << std::endl;
    }
      
    // Get the final solution from the stepper
    Teuchos::RCP<const LOCA::Epetra::Group> finalGroup = 
      Teuchos::rcp_dynamic_cast<const LOCA::Epetra::Group>(stepper.getSolutionGroup());
    const NOX::Epetra::Vector& finalSolution = 
      dynamic_cast<const NOX::Epetra::Vector&>(finalGroup->getX());
      
    // Output the parameter list
    if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
      globalData->locaUtils->out() 
	<< std::endl << "Final Parameters" << std::endl
	<< "****************" << std::endl;
      stepper.getList()->print(globalData->locaUtils->out());
      globalData->locaUtils->out() << std::endl;
    }
      
    // Check some statistics on the solution
    NOX::TestCompare testCompare(globalData->locaUtils->out(), 
				 *(globalData->locaUtils));
      
    if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
      globalData->locaUtils->out() 
	<< std::endl 
	<< "***** Checking solution statistics *****" 
	<< std::endl;
      
    // Check number of continuation steps
    int numSteps = stepper.getStepNumber();
    int numSteps_expected = 3;
    ierr += testCompare.testValue(numSteps, numSteps_expected, 0.0,
				  "number of continuation steps",
				  NOX::TestCompare::Absolute);
      
    // Check number of failed steps
    int numFailedSteps = stepper.getNumFailedSteps();
    int numFailedSteps_expected = 0;
    ierr += testCompare.testValue(numFailedSteps, numFailedSteps_expected, 0.0,
				  "number of failed continuation steps",
				  NOX::TestCompare::Absolute);
      
    // Check final value of continuation parameter
    double beta_final = finalGroup->getParam("beta");
    double beta_expected = 2.0;
    ierr += testCompare.testValue(beta_final, beta_expected, 1.0e-14,
				  "final value of continuation parameter", 
				  NOX::TestCompare::Relative);
      
    // Check final value of ||F||
    double Fnorm_final = (const_cast<Teuchos::ParameterList&>(*stepper.getList()).sublist("NOX").sublist("Output").get("2-Norm of Residual",1.0e+10));
    double Fnorm_expected = 0.0;
    ierr += testCompare.testValue(Fnorm_final, Fnorm_expected, 1.0e-8,
				  "final value of ||F||", 
				  NOX::TestCompare::Absolute);
      
    // Check number of nonlinear iterations on last continuation step
    int nonlin_final = (const_cast<Teuchos::ParameterList&>(*stepper.getList()).sublist("NOX").
			sublist("Output").get("Nonlinear Iterations",MAX_NEWTON_ITERS));
    int nonlin_expected = 4;
    ierr += testCompare.testValue(nonlin_final, nonlin_expected, 0.0,
				  "number of nonlinear iterations on last continuation step", 
				  NOX::TestCompare::Absolute);
      
      
    // initialize solution comparison norm on all procs
    double solution_diff_norm = 0.0;
      
    // Compute norm of difference of computed solution - expected solution
    if (globalComm->MyPID() == (globalComm->NumProc()-1)) {
      // Get solution at last time step
      ixyzt->getSolution().ExtractBlockValues(soln, 
					      (globalComm->NumTimeStepsOnDomain() + 
					       globalComm->FirstTimeStepOnDomain() - 1));
	
      // Check final solution at final time step
      NOX::Epetra::Vector final_solution(soln);
      NOX::Epetra::Vector final_x_expected(final_solution);
      for (int i=0; i<NumGlobalNodes; i++) {
	final_x_expected.getEpetraVector()[2*i] = alpha;
	final_x_expected.getEpetraVector()[2*i+1] = beta_final/alpha;
      }
      solution_diff_norm = testCompare.computeVectorNorm(final_solution, 
							 final_x_expected, 
							 1.0e-4, 
							 1.0e-4);
	
    }
      
    // Check final solution at final time step on all procs
    globalComm->Broadcast(&solution_diff_norm, 1, globalComm->NumProc()-1);
    double solution_diff_norm_expected = 0.0;
    ierr += testCompare.testValue(solution_diff_norm, solution_diff_norm_expected, 1.0e-4,
				  "inf norm of (solution_final - solution_expected) at last time step", 
				  NOX::TestCompare::Absolute);
            
    LOCA::destroyGlobalData(globalData);
        
  }
  catch (std::exception& e) {
    std::cout << e.what() << std::endl;
    ierr = 1;
  }
  catch (const char *s) {
    std::cout << s << std::endl;
    ierr = 1;
  }
  catch (...) {
    std::cout << "Caught unknown exception!" << std::endl;
    ierr = 1;
  }

  if (MyPID == 0) {
    if (ierr == 0)
      std::cout << "All tests passed!" << std::endl;
    else
      std::cout << ierr << " test(s) failed!" << std::endl;
  }

  return ierr;
}