161 lines
4.6 KiB
C
161 lines
4.6 KiB
C
/*---------------------------------------------------------------------------*\
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========= |
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\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
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\\ / O peration |
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\\ / A nd | Copyright (C) 2016 OpenFOAM Foundation
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\\/ M anipulation |
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-------------------------------------------------------------------------------
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License
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This file is part of OpenFOAM.
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OpenFOAM is free software: you can redistribute it and/or modify it
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under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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You should have received a copy of the GNU General Public License
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along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
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\*---------------------------------------------------------------------------*/
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#include "BetaIntegrator.H"
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#include "error.H"
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#include "SubList.H"
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#include "SubField.H"
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#include "interpolateXY.H"
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// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
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// const scalar Foam::CMC::BetaIntegrator::staticData();
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// * * * * * * * * * * * * * Static Member Functions * * * * * * * * * * * * //
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// * * * * * * * * * * * * * Private Member Functions * * * * * * * * * * * //
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//extended Simpson's rule (Numerical recipes, 2nd Ed. p.128)
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//for equally spaced and even N intervals (or odd N+1 points)
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Foam::scalar Foam::CMC::BetaIntegrator::simps
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(const scalar xl, const scalar xh, const label n, const UList<scalar>& fx)
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const
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{
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scalar evensum(0.0), oddsum(0.0), sum(0.0);
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scalar h = (xh - xl)/scalar(n);
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for(label i=0 ; i<fx.size() ; i++)
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{
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if(i%2 == 0)
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{
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evensum += fx[i];
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}
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else
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{
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oddsum += fx[i];
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}
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}
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sum = -1.0*fx.first() + 2.0*evensum + 4.0*oddsum - 1.0*fx.last();
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return sum*(h/3.0);
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}
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Foam::scalar Foam::CMC::BetaIntegrator::sumSimps(const UList<scalar>& f) const
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{
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scalar total = 0.0;
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const labelList &N(bg_.N());
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const scalarField &etaCut(bg_.etaCut());
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forAll(N, i)
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{
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const labelList::subList prev(N, i);
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const label baseI = sum(prev) + 1;
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const scalarField::subField subInterval(f, N[i]+1, baseI);
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total += simps(etaCut[i], etaCut[i+1], N[i], subInterval);
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}
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return total;
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}
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// * * * * * * * * * * * * Protected Member Functions * * * * * * * * * * * //
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// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
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Foam::CMC::BetaIntegrator::BetaIntegrator(const BetaFunction& bf, const BetaGrid &bg)
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:
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etaSpace_(bg.etaSpace()),
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pdfNum_(bg.etaSpace().size(), 0.0),
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pdfDen_(0.0),
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bf_(bf),
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bg_(bg)
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{
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const scalarField::subField domain(etaSpace_, etaSpace_.size()-2, 1);
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scalarField::subField range(pdfNum_, etaSpace_.size()-2, 1);
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range = bf_.etaFunc(domain);
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pdfDen_ = sumSimps(pdfNum_)
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+ Foam::pow(etaSpace_[1], bf_.alpha())/(bf_.alpha() + SMALL)
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+ Foam::pow(etaSpace_[1], bf_.beta())/(bf_.beta() + SMALL);
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}
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// * * * * * * * * * * * * * * * * Destructor * * * * * * * * * * * * * * * //
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Foam::CMC::BetaIntegrator::~BetaIntegrator()
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{}
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// * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * * //
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// beta-pdf weighted integration for given mf, mfVar and f
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Foam::scalar Foam::CMC::BetaIntegrator::betaIntegrate(const scalarField& f) const
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{
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scalar result = 0.0;
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if(bf_.fdelta())
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{
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result = interpolateXY(bf_.mf(), etaSpace_, f);
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}
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else
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{
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scalar num = sumSimps (f * pdfNum_)
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+ f.first()*Foam::pow(etaSpace_[1], bf_.alpha())/(bf_.alpha() + SMALL)
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+ f.last()*Foam::pow(etaSpace_[1], bf_.beta())/(bf_.beta() + SMALL);
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result = num/pdfDen_;
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}
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return result;
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}
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// * * * * * * * * * * * * * * Member Operators * * * * * * * * * * * * * * //
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void Foam::CMC::BetaIntegrator::operator=(const BetaIntegrator& rhs)
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{
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// Check for assignment to self
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if (this == &rhs)
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{
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FatalErrorInFunction
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<< "Attempted assignment to self"
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<< abort(FatalError);
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}
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}
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// * * * * * * * * * * * * * * Friend Functions * * * * * * * * * * * * * * //
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// * * * * * * * * * * * * * * Friend Operators * * * * * * * * * * * * * * //
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// ************************************************************************* //
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