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/*---------------------------------------------------------------------------*\
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2024-2026 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 "wallBoiling.H"
#include "multiphaseEuler.H"
#include "fluidThermophysicalTransportModel.H"
#include "partitioningModel.H"
#include "nucleationSiteModel.H"
#include "departureDiameterModel.H"
#include "departureFrequencyModel.H"
#include "alphatPhaseChangeWallFunctionFvPatchScalarField.H"
#include "alphatJayatillekeWallFunctionFvPatchScalarField.H"
#include "wallBoilingPhaseChangeRateFvPatchScalarField.H"
#include "zeroGradientFvPatchFields.H"
#include "addToRunTimeSelectionTable.H"
/*---------------------------------------------------------------------------*\
Class wallBoiling::laggedProperties Declaration
\*---------------------------------------------------------------------------*/
struct Foam::fv::wallBoiling::laggedProperties
{
//- Typedef to shorten the name of the Jayatilleke wall function
typedef
compressible::alphatJayatillekeWallFunctionFvPatchScalarField
alphatJayatillekeWallFunction;
//- Wall function field
const wallBoiling& model;
//- Patch index
const label patchi;
//- Liquid volume fraction
const scalarField& alphaLiquid;
//- Vapour volume fraction
const scalarField& alphaVapour;
//- Liquid thermophysical transport model
const fluidThermophysicalTransportModel& ttmLiquid;
//- Vapour thermophysical transport model
const fluidThermophysicalTransportModel& ttmVapour;
//- Liquid convective turbulent thermal diffusivity
const scalarField alphatConvLiquid;
//- Phase convective turbulent thermal diffusivity
const scalarField alphatConvVapour;
//- Patch area by neighbouring cell volume ratio
const scalarField AbyV;
//- Liquid density
private: const tmp<scalarField> trhoLiquid;
public: const scalarField& rhoLiquid;
//- Vapour density
private: const tmp<scalarField> trhoVapour;
public: const scalarField& rhoVapour;
//- Liquid heat capacity
const scalarField& CpLiquid;
//- Liquid laminar kinematic viscosity
private: const tmp<scalarField> tnuLiquid;
public: const scalarField& nuLiquid;
//- Liquid laminar thermal diffusivity
const scalarField kappaByCpLiquid;
//- Liquid viscosity wall function
const nutWallFunctionFvPatchScalarField& nutLiquid;
//- Dimensionless wall distance
const scalarField yPlusLiquid;
//- Smoothing function
const scalarField P;
//- Cell temperature
const scalarField TcLiquid;
//- Saturation temperature
const scalarField Tsat;
//- Latent heat
const scalarField L;
//- Patch
inline const fvPatch& patch() const
{
return model.mesh().boundary()[patchi];
}
//- Constructor
laggedProperties
(
const wallBoiling& model,
const label patchi
)
:
model(model),
patchi(patchi),
alphaLiquid(model.liquid_.boundaryField()[patchi]),
alphaVapour(model.vapour_.boundaryField()[patchi]),
ttmLiquid
(
model.mesh().lookupType<fluidThermophysicalTransportModel>
(
model.liquid_.name()
)
),
ttmVapour
(
model.mesh().lookupType<fluidThermophysicalTransportModel>
(
model.vapour_.name()
)
),
alphatConvLiquid
(
alphatJayatillekeWallFunction::alphat(ttmLiquid, model.Prt_, patchi)
),
alphatConvVapour
(
alphatJayatillekeWallFunction::alphat(ttmVapour, model.Prt_, patchi)
),
AbyV
(
patch().magSf()
/scalarField
(
patch().mesh().V(),
patch().faceCells()
)
),
trhoLiquid(model.liquid_.thermo().rho(patchi)),
rhoLiquid(trhoLiquid()),
trhoVapour(model.vapour_.thermo().rho(patchi)),
rhoVapour(trhoVapour()),
CpLiquid(model.liquid_.thermo().Cp().boundaryField()[patchi]),
tnuLiquid(model.liquid_.fluidThermo().nu(patchi)),
nuLiquid(tnuLiquid()),
kappaByCpLiquid
(
model.liquid_.thermo().kappa().boundaryField()[patchi]/CpLiquid
),
nutLiquid
(
nutWallFunctionFvPatchScalarField::nutw
(
ttmLiquid.momentumTransport(),
patchi
)
),
yPlusLiquid
(
pow025(nutLiquid.Cmu())
*sqrt(ttmLiquid.momentumTransport().k()().boundaryField()[patchi])
*ttmLiquid.momentumTransport().yb()[patchi]
/nuLiquid
),
P
(
alphatJayatillekeWallFunction::P
(
rhoLiquid*nuLiquid/kappaByCpLiquid/model.Prt_
)
),
TcLiquid
(
model.liquid_.thermo().T().boundaryField()[patchi]
.patchInternalField()
),
Tsat
(
model.Tsat_->value
(
model.liquid_.fluidThermo().p().boundaryField()[patchi]
)
),
L
(
model.L
(
patchi,
model.liquid_.thermo().T().boundaryField()[patchi]
)
)
{}
};
// * * * * * * * * * * * * * Static Member Functions * * * * * * * * * * * * //
namespace Foam
{
namespace fv
{
defineTypeNameAndDebug(wallBoiling, 0);
addToRunTimeSelectionTable(fvModel, wallBoiling, dictionary);
}
}
// * * * * * * * * * * * * * Private Member Functions * * * * * * * * * * * //
void Foam::fv::wallBoiling::readCoeffs(const dictionary& dict)
{
reReadSpecie(dict);
Tsat_.reset
(
Function1<scalar>::New
(
"saturationTemperature",
{dimPressure, dimTemperature},
dict
).ptr()
);
partitioningModel_.reset
(
wallBoilingModels::partitioningModel::New
(
dict.subDict("partitioningModel")
).ptr()
);
nucleationSiteModel_.reset
(
wallBoilingModels::nucleationSiteModel::New
(
dict.subDict("nucleationSiteModel")
).ptr()
);
departureDiameterModel_.reset
(
wallBoilingModels::departureDiameterModel::New
(
dict.subDict("departureDiameterModel")
).ptr()
);
departureFrequencyModel_.reset
(
wallBoilingModels::departureFrequencyModel::New
(
dict.subDict("departureFrequencyModel")
).ptr()
);
tolerance_ =
dict.lookupOrDefault<scalar>("tolerance", units::unitless, rootSmall);
liquidTemperatureWallFunction_ =
dict.lookupOrDefault<Switch>("useLiquidTemperatureWallFunction", true);
Prt_ = dict.lookupOrDefault<scalar>("Prt", dimless, 0.85);
bubbleWaitingTimeRatio_ =
dict.lookupOrDefault<scalar>("bubbleWaitingTimeRatio", dimless, 0.8);
}
const Foam::fvPatchScalarField&
Foam::fv::wallBoiling::getLiquidTemperaturePatchField
(
const laggedProperties& lagProps,
scalarField& isFixed,
scalarField& h,
scalarField& hTaPlusQa
) const
{
isFixed.setSize(lagProps.patch().size());
h.setSize(lagProps.patch().size());
hTaPlusQa.setSize(lagProps.patch().size());
const fvPatchScalarField& T =
liquid_.thermo().T().boundaryField()[lagProps.patchi];
const fvPatchScalarField& alphat =
alphatLiquid_.boundaryField()[lagProps.patchi];
if (isA<fixedValueFvPatchScalarField>(T))
{
isFixed = 1;
h = rootVGreat;
hTaPlusQa = rootVGreat*T;
}
else if (isA<zeroGradientFvPatchScalarField>(T))
{
isFixed = 0;
h = 0;
hTaPlusQa = 0;
}
else if (isA<fixedGradientFvPatchScalarField>(T))
{
const fixedGradientFvPatchScalarField& Tfg =
refCast<const fixedGradientFvPatchScalarField>(T);
isFixed = 0;
h = 0;
hTaPlusQa = alphat*lagProps.CpLiquid*Tfg.gradient();
}
else if (isA<mixedFvPatchScalarField>(T))
{
const mixedFvPatchScalarField& Tm =
refCast<const mixedFvPatchScalarField>(T);
isFixed = pos(Tm.valueFraction() - 1 + rootSmall);
h =
Tm.valueFraction()
/max(1 - Tm.valueFraction(), rootVSmall)
*alphat
*lagProps.CpLiquid
*lagProps.patch().deltaCoeffs();
hTaPlusQa =
h*Tm.refValue()
+ alphat*lagProps.CpLiquid*Tm.refGrad();
}
else
{
FatalErrorInFunction
<< "Temperature boundary condition type not recognised"
<< exit(FatalError);
}
return T;
}
Foam::tmp<Foam::scalarField> Foam::fv::wallBoiling::calcBoiling
(
const laggedProperties& lagProps,
const scalarField& TLiquid,
const scalarField& wetFraction,
scalarField& dDeparture,
scalarField& fDeparture,
scalarField& nucleationSiteDensity,
scalarField& qQuenching,
scalarField& qEvaporative,
scalarField& mDot
) const
{
using constant::mathematical::pi;
scalarField Tl;
if (!liquidTemperatureWallFunction_)
{
Tl = lagProps.TcLiquid;
}
else
{
// Liquid temperature at y+=250 is estimated from the logarithmic
// thermal wall function of Koncar, Krepper & Egorov (2005)
const scalarField TyPlus250
(
Prt_
*(
log(lagProps.nutLiquid.E()*250)
/lagProps.nutLiquid.kappa()
+ lagProps.P
)
);
const scalarField TyPlus
(
Prt_
*(
log
(
lagProps.nutLiquid.E()
*max(lagProps.yPlusLiquid, scalar(11))
)
/lagProps.nutLiquid.kappa()
+ lagProps.P
)
);
Tl = TLiquid - (TyPlus250/TyPlus)*(TLiquid - lagProps.TcLiquid);
}
// Bubble departure diameter
dDeparture =
departureDiameterModel_->dDeparture
(
liquid_,
vapour_,
lagProps.patchi,
Tl,
lagProps.Tsat,
lagProps.L
);
// Bubble departure frequency
fDeparture =
departureFrequencyModel_->fDeparture
(
liquid_,
vapour_,
lagProps.patchi,
Tl,
lagProps.Tsat,
lagProps.L,
dDeparture
);
// Nucleation site density
nucleationSiteDensity =
nucleationSiteModel_->nucleationSiteDensity
(
liquid_,
vapour_,
lagProps.patchi,
Tl,
lagProps.Tsat,
lagProps.L,
dDeparture,
fDeparture
);
// Del Valle & Kenning (1985)
const scalarField Ja
(
lagProps.rhoLiquid
*lagProps.CpLiquid
*max(lagProps.Tsat - Tl, scalar(0))
/(lagProps.rhoVapour*lagProps.L)
);
const scalarField Al
(
wetFraction*4.8*exp(min(-Ja/80, log(vGreat)))
);
scalarField A2
(
min(pi*sqr(dDeparture)*nucleationSiteDensity*Al/4, scalar(1))
);
const scalarField A1(max(1 - A2, scalar(1e-4)));
scalarField A2E
(
min(pi*sqr(dDeparture)*nucleationSiteDensity*Al/4, scalar(5))
);
// Volumetric mass source in the near wall cell due to the
// wall boiling
mDot = (1.0/6.0)*A2E*dDeparture*lagProps.rhoVapour*fDeparture*lagProps.AbyV;
// Quenching heat transfer coefficient
const scalarField hQ
(
2*lagProps.kappaByCpLiquid*lagProps.CpLiquid*fDeparture
*sqrt
(
bubbleWaitingTimeRatio_
/max(fDeparture, small)
/(pi*lagProps.kappaByCpLiquid/lagProps.rhoLiquid)
)
);
// Quenching heat flux
qQuenching = A2*hQ*max(TLiquid - Tl, scalar(0));
// Evaporation heat flux
qEvaporative = mDot*lagProps.L/lagProps.AbyV;
// Return total sum of convective, quenching and evaporative heat fluxes
const scalarField gradT
(
lagProps.patch().deltaCoeffs()
*max(TLiquid - lagProps.TcLiquid, small*lagProps.TcLiquid)
);
return
A1*lagProps.alphatConvLiquid*lagProps.CpLiquid*gradT
+ qQuenching
+ qEvaporative;
}
Foam::tmp<Foam::scalarField> Foam::fv::wallBoiling::calcBoiling
(
const wallBoilingPhaseChangeRateFvPatchScalarField& mDot,
const laggedProperties& lagProps,
const scalarField& TLiquid
) const
{
scalarField dDeparture(mDot.dDeparture_);
scalarField fDeparture(mDot.fDeparture_);
scalarField nucleationSiteDensity(mDot.nucleationSiteDensity_);
scalarField qQuenching(mDot.qQuenching_);
scalarField qEvaporative(mDot.qEvaporative_);
scalarField mDotCopy(mDot);
return
calcBoiling
(
lagProps,
TLiquid,
mDot.wetFraction_,
dDeparture,
fDeparture,
nucleationSiteDensity,
qQuenching,
qEvaporative,
mDotCopy
);
}
Foam::tmp<Foam::scalarField> Foam::fv::wallBoiling::evaluateBoiling
(
wallBoilingPhaseChangeRateFvPatchScalarField& mDot,
const laggedProperties& lagProps,
const scalarField& TLiquid
) const
{
return
calcBoiling
(
lagProps,
TLiquid,
mDot.wetFraction_,
mDot.dDeparture_,
mDot.fDeparture_,
mDot.nucleationSiteDensity_,
mDot.qQuenching_,
mDot.qEvaporative_,
mDot
);
}
void Foam::fv::wallBoiling::correctMDot() const
{
Info<< type() << ": " << name() << endl << incrIndent;
//- Reset the phase-change rates in all the near-wall cells
forAll(mDot_.boundaryField(), patchi)
{
if (!isPatchActive(patchi)) continue;
const labelUList& faceCells = mesh().boundary()[patchi].faceCells();
forAll(faceCells, i)
{
mDot_[faceCells[i]] = scalar(0);
}
}
// Loop the boiling patches, evaluate the model, and sum the phase change
// rates into the adjacent cells
forAll(mDot_.boundaryField(), patchi)
{
if (!isPatchActive(patchi)) continue;
// Access the wall-boiling phase-change patch field for this patch
wallBoilingPhaseChangeRateFvPatchScalarField& mDot = mDotPfRef(patchi);
// Construct lagged properties
const laggedProperties lagProps(*this, patchi);
// Evaluate the wetted fraction
mDot.wetFraction_ =
partitioningModel_->wetFraction(lagProps.alphaLiquid);
// Set the vapour turbulent thermal diffusivity
mDot.alphatVapour_ =
(1 - mDot.wetFraction_)
/max(1 - lagProps.alphaLiquid, rootSmall)
*lagProps.alphatConvVapour;
// Get the temperature boundary condition and extract its
// physical parameters
scalarField TLiquidIsFixed, TLiquidH, TLiquidHTaPlusQa;
const fvPatchScalarField& TLiquid =
getLiquidTemperaturePatchField
(
lagProps,
TLiquidIsFixed,
TLiquidH,
TLiquidHTaPlusQa
);
// Define the residual. This should be monotonic in T.
auto R = [&](const scalarField& T)
{
return
calcBoiling(mDot, lagProps, T)
- TLiquidHTaPlusQa
+ TLiquidH*T;
};
// Solve using interval bisection. Boiling cannot occur below the
// saturation temperature, so that is taken to be the lower bound. The
// upper bound is harder to define. For now, take twice the current
// superheat as the maximum. The solution is likely to be below this
// value. If it is not, then the iteration will converge to this upper
// limit, creating a new superheat of twice the current value.
// Subsequent time-steps will then double this superheat again and
// again until it does eventually bound the solution.
mDot.boiling_ = neg(R(lagProps.Tsat));
scalarField T0(lagProps.Tsat);
scalarField T1
(
max
(
TLiquid + (TLiquid - lagProps.Tsat),
lagProps.Tsat*(1 + sqrt(tolerance_))
)
);
scalar e =
gMax((1 - TLiquidIsFixed)*mDot.boiling_*(T1 - T0)/(T0 + T1));
for (; e > tolerance_; e /= 2)
{
const scalarField Tm((T0 + T1)/2);
const scalarField rM(R(Tm));
T0 = pos(rM)*T0 + neg0(rM)*Tm;
T1 = pos(rM)*Tm + neg0(rM)*T1;
}
const scalarField T
(
TLiquidIsFixed*TLiquid + (1 - TLiquidIsFixed)*(T0 + T1)/2
);
// Use solution to re-evaluate the boiling and set the thermal
// diffusivity to recover the calculated heat flux
const scalarField gradT
(
lagProps.patch().deltaCoeffs()
*max(T - lagProps.TcLiquid, small*lagProps.TcLiquid)
);
const scalarField q(evaluateBoiling(mDot, lagProps, T));
const scalarField alphatBoilingLiquid
(
q/lagProps.CpLiquid/gradT/max(lagProps.alphaLiquid, rootSmall)
);
mDot.alphatLiquid_=
mDot.boiling_*alphatBoilingLiquid
+ (1 - mDot.boiling_)*lagProps.alphatConvLiquid;
infoField
(
word("mDot[", mesh().boundary()[patchi].name(), "]"),
dimensions::density/dimensions::time,
mDot
);
// Sum the phase change rate into the internal field
const labelUList& faceCells = mesh().boundary()[patchi].faceCells();
forAll(faceCells, i)
{
mDot_[faceCells[i]] += mDot[i];
}
}
Info<< decrIndent;
}
// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
Foam::fv::wallBoiling::wallBoiling
(
const word& name,
const word& modelType,
const fvMesh& mesh,
const dictionary& dict
)
:
wallPhaseChange
(
name,
modelType,
mesh,
dict,
readSpecie(coeffs(modelType, dict), false)
),
nucleation(),
liquid_(phases().first()),
vapour_(phases().second()),
alphatLiquid_(wallPhaseChange::alphats().first()),
alphatVapour_(wallPhaseChange::alphats().second()),
p_rgh_
(
mesh().lookupObject<solvers::multiphaseEuler>(solver::typeName).p_rgh
),
tolerance_(NaN),
liquidTemperatureWallFunction_(true),
Prt_(NaN),
bubbleWaitingTimeRatio_(NaN),
Tsat_(nullptr),
partitioningModel_(nullptr),
nucleationSiteModel_(nullptr),
departureDiameterModel_(nullptr),
departureFrequencyModel_(nullptr),
pressureEquationIndex_(-1),
mDot_
(
IOobject
(
name + ":mDot",
mesh.time().name(),
mesh,
IOobject::READ_IF_PRESENT,
IOobject::AUTO_WRITE
),
mesh,
dimensionedScalar(dimensions::density/dimensions::time, scalar(0)),
mDotBoundaryTypes
(
wallBoilingPhaseChangeRateFvPatchScalarField::typeName
)
)
{
readCoeffs(coeffs(dict));
}
// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
const Foam::scalarField& Foam::fv::wallBoiling::active
(
const label patchi
) const
{
return mDotPfRef(patchi).boiling_;
}
Foam::Pair<const Foam::scalarField&> Foam::fv::wallBoiling::alphats
(
const label patchi
) const
{
return
Pair<const Foam::scalarField&>
(
mDotPfRef(patchi).alphatLiquid_,
mDotPfRef(patchi).alphatVapour_
);
}
Foam::tmp<Foam::volInternalScalarField>
Foam::fv::wallBoiling::Lfraction() const
{
// Put all the latent heat into the liquid
return
volInternalScalarField::New
(
name() + ":Lfraction",
mesh(),
dimensionedScalar(dimless, scalar(0))
);
}
Foam::tmp<Foam::volInternalScalarField>
Foam::fv::wallBoiling::d() const
{
tmp<volScalarField> tdVapour = vapour_.d();
const volInternalScalarField& dVapour = tdVapour();
const volInternalScalarField mask
(
neg
(
mag(mDot_())
- dimensionedScalar(dimensions::density/dimensions::time, rootVSmall)
)
);
tmp<volInternalScalarField> td =
volInternalScalarField::New(name() + ":d", mask*dVapour);
volInternalScalarField& d = td.ref();
forAll(mDot_.boundaryField(), patchi)
{
if (!isPatchActive(patchi)) continue;
// Access the wall-boiling phase-change patch field for this patch
const wallBoilingPhaseChangeRateFvPatchScalarField& mDot =
mDotPf(patchi);
// Average the diameter into the internal field
const labelUList& faceCells = mesh().boundary()[patchi].faceCells();
forAll(faceCells, i)
{
if (mask[faceCells[i]]) continue;
d[faceCells[i]] += mDot.dDeparture_[i]*mDot[i]/mDot_[faceCells[i]];
}
}
return td;
}
Foam::tmp<Foam::volInternalScalarField>
Foam::fv::wallBoiling::nDot() const
{
tmp<volInternalScalarField> tnDot =
volInternalScalarField::New
(
name() + ":nDot",
mesh(),
dimensionedScalar(inv(dimensions::time), scalar(0))
);
volInternalScalarField& nDot = tnDot.ref();
forAll(mDot_.boundaryField(), patchi)
{
if (!isPatchActive(patchi)) continue;
// Access the wall-boiling phase-change patch field for this patch
const wallBoilingPhaseChangeRateFvPatchScalarField& mDot =
mDotPf(patchi);
// Sum the frequency into the internal field
const labelUList& faceCells = mesh().boundary()[patchi].faceCells();
forAll(faceCells, i)
{
nDot[faceCells[i]] += mDot.fDeparture_[i];
}
}
return tnDot;
}
Foam::tmp<Foam::volInternalScalarField>
Foam::fv::wallBoiling::tau() const
{
NotImplemented;
return tmp<volInternalScalarField>(nullptr);
}
Foam::tmp<Foam::volInternalScalarField>
Foam::fv::wallBoiling::mDot() const
{
return mDot_.internalField();
}
const Foam::wallBoilingPhaseChangeRateFvPatchScalarField&
Foam::fv::wallBoiling::mDotPf(const label patchi) const
{
if (!isPatchActive(patchi))
{
FatalErrorInFunction
<< "Patch " << mesh().boundary()[patchi].name()
<< " is not boiling" << exit(FatalError);
}
return
refCast<const wallBoilingPhaseChangeRateFvPatchScalarField>
(
mDot_.boundaryField()[patchi]
);
}
Foam::wallBoilingPhaseChangeRateFvPatchScalarField&
Foam::fv::wallBoiling::mDotPfRef(const label patchi) const
{
if (!isPatchActive(patchi))
{
FatalErrorInFunction
<< "Patch " << mesh().boundary()[patchi].name()
<< " is not boiling" << exit(FatalError);
}
return
refCast<wallBoilingPhaseChangeRateFvPatchScalarField>
(
mDot_.boundaryFieldRef()[patchi]
);
}
void Foam::fv::wallBoiling::addSup
(
const volScalarField& alpha,
const volScalarField& rho,
fvMatrix<scalar>& eqn
) const
{
// Pressure equation (i.e., continuity, linearised in the pressure)
if
(
(&alpha == &liquid_ || &alpha == &vapour_)
&& (&rho == &liquid_.rho() || &rho == &vapour_.rho())
&& &eqn.psi() == &p_rgh_
)
{
// Ensure that the source is up-to date if this is the first call in
// the current phase loop
if (pressureEquationIndex_ % 2 == 0) correctMDot();
pressureEquationIndex_ ++;
}
// Let the base class add the actual source
massTransfer::addSup(alpha, rho, eqn);
}
void Foam::fv::wallBoiling::correct()
{
// Reset the p_rgh equation solution counter
pressureEquationIndex_ = 0;
// Correct the total phase change rate
correctMDot();
}
bool Foam::fv::wallBoiling::read(const dictionary& dict)
{
if (phaseChange::read(dict))
{
readCoeffs(coeffs(dict));
return true;
}
else
{
return false;
}
}
// ************************************************************************* //