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/*---------------------------------------------------------------------------*\
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration |
\\ / A nd | Copyright (C) 2011-2015 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
This file is part of OpenFOAM.
OpenFOAM is free software: you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
OpenFOAM 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 General Public License
for more details.
You should have received a copy of the GNU General Public License
along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
\*---------------------------------------------------------------------------*/
#include "SpaldingsLaw.H"
#include "addToRunTimeSelectionTable.H"
// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
namespace Foam
{
namespace tabulatedWallFunctions
{
defineTypeNameAndDebug(SpaldingsLaw, 0);
addToRunTimeSelectionTable
(
tabulatedWallFunction,
SpaldingsLaw,
dictionary
);
}
}
const Foam::label Foam::tabulatedWallFunctions::SpaldingsLaw::maxIters_ = 1000;
const Foam::scalar
Foam::tabulatedWallFunctions::SpaldingsLaw::tolerance_ = 1e-4;
// * * * * * * * * * * * * Private Member Functions * * * * * * * * * * * * //
void Foam::tabulatedWallFunctions::SpaldingsLaw::invertFunction()
{
// Initialise u+ and R
scalar Re = 0.0;
scalar uPlus = 1;
// Populate the table
forAll(invertedTable_, i)
{
if (invertedTable_.log10())
{
Re = pow(10, (i*invertedTable_.dx() + invertedTable_.x0()));
}
else
{
Re = i*invertedTable_.dx() + invertedTable_.x0();
}
// Use latest available u+ estimate
if (i > 0)
{
uPlus = invertedTable_[i-1];
}
// Newton iterations to determine u+
label iter = 0;
scalar error = GREAT;
do
{
scalar kUPlus = min(kappa_*uPlus, 50);
scalar A =
E_*sqr(uPlus)
+ uPlus
*(exp(kUPlus) - pow3(kUPlus)/6 - 0.5*sqr(kUPlus) - kUPlus - 1);
scalar f = - Re + A/E_;
scalar df =
(
2*E_*uPlus
+ exp(kUPlus)*(kUPlus + 1)
- 2/3*pow3(kUPlus)
- 1.5*sqr(kUPlus)
- 2*kUPlus
- 1
)/E_;
scalar uPlusNew = uPlus - f/(df + ROOTVSMALL);
error = mag((uPlus - uPlusNew)/uPlusNew);
uPlus = uPlusNew;
} while (error > tolerance_ && ++iter < maxIters_);
if (iter == maxIters_)
{
WarningInFunction
<< "Newton iterations not converged:" << nl
<< " iters = " << iter << ", error = " << error << endl;
}
// Set new values - constrain u+ >= 0
invertedTable_[i] = max(0, uPlus);
}
}
// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
Foam::tabulatedWallFunctions::SpaldingsLaw::SpaldingsLaw
(
const dictionary& dict,
const polyMesh& mesh
)
:
tabulatedWallFunction(dict, mesh, typeName),
kappa_(readScalar(coeffDict_.lookup("kappa"))),
E_(readScalar(coeffDict_.lookup("E")))
{
invertFunction();
if (debug)
{
writeData(Info);
}
}
// * * * * * * * * * * * * * * * * Destructor * * * * * * * * * * * * * * * //
Foam::tabulatedWallFunctions::SpaldingsLaw::~SpaldingsLaw()
{}
// * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * * //
Foam::scalar Foam::tabulatedWallFunctions::SpaldingsLaw::yPlus
(
const scalar uPlus
) const
{
scalar kUPlus = min(kappa_*uPlus, 50);
return
uPlus
+ 1/E_*(exp(kUPlus) - pow3(kUPlus)/6 - 0.5*sqr(kUPlus) - kUPlus - 1);
}
Foam::scalar Foam::tabulatedWallFunctions::SpaldingsLaw::Re
(
const scalar uPlus
) const
{
return uPlus*yPlus(uPlus);
}
void Foam::tabulatedWallFunctions::SpaldingsLaw::writeData(Ostream& os) const
{
if (invertedTable_.log10())
{
os << "log10(Re), y+, u+:" << endl;
forAll(invertedTable_, i)
{
scalar uPlus = invertedTable_[i];
scalar Re = ::log10(this->Re(uPlus));
scalar yPlus = this->yPlus(uPlus);
os << Re << ", " << yPlus << ", " << uPlus << endl;
}
}
else
{
os << "Re, y+, u+:" << endl;
forAll(invertedTable_, i)
{
scalar uPlus = invertedTable_[i];
scalar Re = this->Re(uPlus);
scalar yPlus = this->yPlus(uPlus);
os << Re << ", " << yPlus << ", " << uPlus << endl;
}
}
}
// ************************************************************************* //
|
