02enKF_1DinverseHeatTransfer.C

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 * In real Time Highly Advanced Computational Applications for Finite Volumes
 * Copyright (C) 2017 by the ITHACA-FV authors
-------------------------------------------------------------------------------
License
    This file is part of ITHACA-FV
    ITHACA-FV is free software: you can redistribute it and/or modify
    it under the terms of the GNU Lesser General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
    ITHACA-FV is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
    GNU Lesser General Public License for more details.
    You should have received a copy of the GNU Lesser General Public License
    along with ITHACA-FV. If not, see <http://www.gnu.org/licenses/>.
Description
    Example of a state reconstruction in 1D heat transfer problem using EnKF
SourceFiles
    02enKF_1DinverseHeatTransfer.C
\*---------------------------------------------------------------------------*/
 
#include <iostream>
#include "fvCFD.H"
#include "fvOptions.H"
#include "simpleControl.H"
#include "IOmanip.H"
#include "Time.H"
#include "laplacianProblem.H"
#include "ITHACAutilities.H"
#include <Eigen/Dense>
#define _USE_MATH_DEFINES
#include <cmath>
#include "Foam2Eigen.H"
 
#include "MUQ/Modeling/Distributions/Gaussian.h"
 
#include "muq2ithaca.H"
 
#include "02enKF_1DinverseHeatTransfer.H"
 
using namespace SPLINTER;
 
 
int main(int argc, char* argv[])
{
    solverPerformance::debug = 1; //No verbose output
    // Number of elements in the ensemble
    int Nseeds = 50;
    // Create the example object of the 02enKF_1DinverseHeatTransfer type
    EnKF_1DinverseHeatTransfer example(argc, argv, Nseeds);
    // Reading parameters from file
    ITHACAparameters* para = ITHACAparameters::getInstance(example._mesh(),
                             example._runTime());
    example.k = para->ITHACAdict->lookupOrDefault<double>("thermalConductivity", 0);
    M_Assert(example.k > 0, "thermalConductivity, k, not specified");
    example.rho = para->ITHACAdict->lookupOrDefault<double>("density", 0);
    M_Assert(example.rho > 0, "Density, rho, not specified");
    example.Cp = para->ITHACAdict->lookupOrDefault<double>("heatCapacity", 0);
    M_Assert(example.Cp > 0, "heatCapacity, Cp, not specified");
    // Mesh and temperature field setup
    fvMesh& mesh = example._mesh();
    volScalarField& T = example._T();
    int stateSize = T.size();
    scalar initialField = T.internalField()[0];
    // Performes true solution
    example.solveDirect();
    int Ntimes = example.Ntimes;
    // Setting up the densities
    // Gaussian densities are assumed
    example.priorSetup(initialField, 0.7);
    example.modelErrorSetup(0.0, 0.7);
    example.measNoiseSetup(0.0, 0.05);
    Eigen::MatrixXd posteriorSamples(stateSize, Nseeds);
    Eigen::MatrixXd priorSamples(stateSize, Nseeds);
    // Sampling prior density
    example.priorSampling();
    Eigen::MatrixXd posteriorMean(stateSize, Ntimes);
    Eigen::MatrixXd minConfidence = posteriorMean;
    Eigen::MatrixXd maxConfidence = minConfidence;
    posteriorMean.col(0) = posteriorSamples.rowwise().mean();
    // Performs reconstruction
    example.reconstruct();
    return 0;
}
 
//--------