multiphaseEulerFoam: new functionObject "moments"

This function calculates integral (integer moments) or mean properties
(mean, variance, standard deviation) of a size distribution computed with
multiphaseEulerFoam. It has to be run with multiphaseEulerFoam, either
at run-time or with -postProcess. It will not work with the postProcess
utility.

The following function object specification for example returns the first
moment of the volume-based number density function which is equivalent to
the phase fraction of the particulate phase:

    moments
    {
        type                moments;
        libs                ("libmultiphaseEulerFoamFunctionObjects.so");
        executeControl      timeStep;
        writeControl        writeTime;
        populationBalance   bubbles;
        momentType          integerMoment;
        coordinateType      volume;
        order               1;
    }

The same can be achieved using a packaged function:

    #includeFunc moments
    (
        populationBalance=bubbles,
        momentType=integerMoment,
        coordinateType=volume,
        order=1,
        funcName=moments
    )

Or on the command line:

    multiphaseEulerFoam -postProcess -func "
        moments
        (
            populationBalance=bubbles,
            momentType=integerMoment,
            coordinateType=volume,
            order=1,
            funcName=moments
        )"

Patch contributed by Institute of Fluid Dynamics,
Helmholtz-Zentrum Dresden - Rossendorf (HZDR)
This commit is contained in:
Will Bainbridge
2022-01-07 08:42:33 +00:00
parent 07c43e9c5d
commit 36c565b9bf
9 changed files with 1291 additions and 17 deletions

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@ -1,3 +1,4 @@
moments/moments.C
sizeDistribution/sizeDistribution.C
phaseForces/phaseForces.C
phaseMap/phaseMap.C

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@ -0,0 +1,972 @@
/*---------------------------------------------------------------------------*\
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2022 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 "moments.H"
#include "addToRunTimeSelectionTable.H"
// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
namespace Foam
{
namespace functionObjects
{
defineTypeNameAndDebug(moments, 0);
addToRunTimeSelectionTable(functionObject, moments, dictionary);
}
}
namespace Foam
{
template<>
const char* NamedEnum
<
Foam::functionObjects::moments::momentType,
4
>::names[] = {"integerMoment", "mean", "variance", "stdDev"};
}
const Foam::NamedEnum
<
Foam::functionObjects::moments::momentType,
4
>
Foam::functionObjects::moments::momentTypeNames_;
namespace Foam
{
template<>
const char* NamedEnum
<
Foam::functionObjects::moments::coordinateType,
3
>::names[] = {"volume", "area", "diameter"};
}
const Foam::NamedEnum
<
Foam::functionObjects::moments::coordinateType,
3
>
Foam::functionObjects::moments::coordinateTypeNames_;
namespace Foam
{
template<>
const char* NamedEnum
<
Foam::functionObjects::moments::weightType,
3
>::names[] =
{
"numberConcentration",
"volumeConcentration",
"areaConcentration"
};
}
const Foam::NamedEnum
<
Foam::functionObjects::moments::weightType,
3
>
Foam::functionObjects::moments::weightTypeNames_;
namespace Foam
{
template<>
const char* NamedEnum
<
Foam::functionObjects::moments::meanType,
3
>::names[] = {"arithmetic", "geometric", "notApplicable"};
}
const Foam::NamedEnum
<
Foam::functionObjects::moments::meanType,
3
>
Foam::functionObjects::moments::meanTypeNames_;
// * * * * * * * * * * * * Private Member Functions * * * * * * * * * * * * //
Foam::word Foam::functionObjects::moments::coordinateTypeSymbolicName()
{
word coordinateTypeSymbolicName(word::null);
switch (coordinateType_)
{
case coordinateType::volume:
{
coordinateTypeSymbolicName = "v";
break;
}
case coordinateType::area:
{
coordinateTypeSymbolicName = "a";
break;
}
case coordinateType::diameter:
{
coordinateTypeSymbolicName = "d";
break;
}
}
return coordinateTypeSymbolicName;
}
Foam::word Foam::functionObjects::moments::weightTypeSymbolicName()
{
word weightTypeSymbolicName(word::null);
switch (weightType_)
{
case weightType::numberConcentration:
{
weightTypeSymbolicName = "N";
break;
}
case weightType::volumeConcentration:
{
weightTypeSymbolicName = "V";
break;
}
case weightType::areaConcentration:
{
weightTypeSymbolicName = "A";
break;
}
}
return weightTypeSymbolicName;
}
Foam::word Foam::functionObjects::moments::defaultFldName()
{
word meanName
(
meanType_ == meanType::geometric
? word(meanTypeNames_[meanType_]).capitalise()
: word("")
);
return
word
(
IOobject::groupName
(
"weighted"
+ meanName
+ word(momentTypeNames_[momentType_]).capitalise()
+ "("
+ weightTypeSymbolicName()
+ ","
+ coordinateTypeSymbolicName()
+ ")",
popBal_.name()
)
);
}
Foam::word Foam::functionObjects::moments::integerMomentFldName()
{
return
word
(
IOobject::groupName
(
word(momentTypeNames_[momentType_])
+ Foam::name(order_)
+ "("
+ weightTypeSymbolicName()
+ ","
+ coordinateTypeSymbolicName()
+ ")",
popBal_.name()
)
);
}
void Foam::functionObjects::moments::setDimensions
(
volScalarField& fld,
momentType momType
)
{
switch (momType)
{
case momentType::integerMoment:
{
switch (coordinateType_)
{
case coordinateType::volume:
{
fld.dimensions().reset
(
pow(dimVolume, order_)/dimVolume
);
break;
}
case coordinateType::area:
{
fld.dimensions().reset
(
pow(dimArea, order_)/dimVolume
);
break;
}
case coordinateType::diameter:
{
fld.dimensions().reset
(
pow(dimLength, order_)/dimVolume
);
break;
}
}
switch (weightType_)
{
case weightType::volumeConcentration:
{
fld.dimensions().reset(fld.dimensions()*dimVolume);
break;
}
case weightType::areaConcentration:
{
fld.dimensions().reset(fld.dimensions()*dimArea);
break;
}
default:
{
break;
}
}
break;
}
case momentType::mean:
{
switch (coordinateType_)
{
case coordinateType::volume:
{
fld.dimensions().reset(dimVolume);
break;
}
case coordinateType::area:
{
fld.dimensions().reset(dimArea);
break;
}
case coordinateType::diameter:
{
fld.dimensions().reset(dimLength);
break;
}
}
break;
}
case momentType::variance:
{
switch (coordinateType_)
{
case coordinateType::volume:
{
fld.dimensions().reset(sqr(dimVolume));
break;
}
case coordinateType::area:
{
fld.dimensions().reset(sqr(dimArea));
break;
}
case coordinateType::diameter:
{
fld.dimensions().reset(sqr(dimLength));
break;
}
}
if (meanType_ == meanType::geometric)
{
fld.dimensions().reset(dimless);
}
break;
}
case momentType::stdDev:
{
switch (coordinateType_)
{
case coordinateType::volume:
{
fld.dimensions().reset(dimVolume);
break;
}
case coordinateType::area:
{
fld.dimensions().reset(dimArea);
break;
}
case coordinateType::diameter:
{
fld.dimensions().reset(dimLength);
break;
}
}
if (meanType_ == meanType::geometric)
{
fld.dimensions().reset(dimless);
}
break;
}
}
}
Foam::tmp<Foam::volScalarField>
Foam::functionObjects::moments::totalConcentration()
{
tmp<volScalarField> tTotalConcentration
(
volScalarField::New
(
"totalConcentration",
mesh_,
dimensionedScalar(inv(dimVolume), Zero)
)
);
volScalarField& totalConcentration = tTotalConcentration.ref();
switch (weightType_)
{
case weightType::volumeConcentration:
{
totalConcentration.dimensions().reset
(
totalConcentration.dimensions()*dimVolume
);
break;
}
case weightType::areaConcentration:
{
totalConcentration.dimensions().reset
(
totalConcentration.dimensions()*dimArea
);
break;
}
default:
{
break;
}
}
forAll(popBal_.sizeGroups(), i)
{
const Foam::diameterModels::sizeGroup& fi = popBal_.sizeGroups()[i];
switch (weightType_)
{
case weightType::numberConcentration:
{
totalConcentration += fi*fi.phase()/fi.x();
break;
}
case weightType::volumeConcentration:
{
totalConcentration += fi*fi.phase();
break;
}
case weightType::areaConcentration:
{
totalConcentration += fi.a()*fi*fi.phase()/fi.x();
break;
}
}
}
return tTotalConcentration;
}
Foam::tmp<Foam::volScalarField> Foam::functionObjects::moments::mean()
{
tmp<volScalarField> tMean
(
volScalarField::New
(
"mean",
mesh_,
dimensionedScalar(dimless, Zero)
)
);
volScalarField& mean = tMean.ref();
setDimensions(mean, momentType::mean);
volScalarField totalConcentration(this->totalConcentration());
forAll(popBal_.sizeGroups(), i)
{
const Foam::diameterModels::sizeGroup& fi = popBal_.sizeGroups()[i];
volScalarField concentration(fi*fi.phase()/fi.x());
switch (weightType_)
{
case weightType::volumeConcentration:
{
concentration *= fi.x();
break;
}
case weightType::areaConcentration:
{
concentration *= fi.a();
break;
}
default:
{
break;
}
}
switch (meanType_)
{
case meanType::geometric:
{
mean.dimensions().reset(dimless);
switch (coordinateType_)
{
case coordinateType::volume:
{
dimensionedScalar unitVolume(dimVolume, 1);
mean +=
Foam::log(fi.x()/unitVolume)
*concentration/totalConcentration;
break;
}
case coordinateType::area:
{
dimensionedScalar unitArea(dimArea, 1);
mean +=
Foam::log(fi.a()/unitArea)
*concentration/totalConcentration;
break;
}
case coordinateType::diameter:
{
dimensionedScalar unitLength(dimLength, 1);
mean +=
Foam::log(fi.d()/unitLength)
*concentration/totalConcentration;
break;
}
}
break;
}
default:
{
switch (coordinateType_)
{
case coordinateType::volume:
{
mean += fi.x()*concentration/totalConcentration;
break;
}
case coordinateType::area:
{
mean += fi.a()*concentration/totalConcentration;
break;
}
case coordinateType::diameter:
{
mean += fi.d()*concentration/totalConcentration;
break;
}
}
break;
}
}
}
if (meanType_ == meanType::geometric)
{
mean = exp(mean);
setDimensions(mean, momentType::mean);
}
return tMean;
}
Foam::tmp<Foam::volScalarField> Foam::functionObjects::moments::variance()
{
tmp<volScalarField> tVariance
(
volScalarField::New
(
"variance",
mesh_,
dimensionedScalar(dimless, Zero)
)
);
volScalarField& variance = tVariance.ref();
setDimensions(variance, momentType::variance);
volScalarField totalConcentration(this->totalConcentration());
volScalarField mean(this->mean());
forAll(popBal_.sizeGroups(), i)
{
const Foam::diameterModels::sizeGroup& fi = popBal_.sizeGroups()[i];
volScalarField concentration(fi*fi.phase()/fi.x());
switch (weightType_)
{
case weightType::volumeConcentration:
{
concentration *= fi.x();
break;
}
case weightType::areaConcentration:
{
concentration *= fi.a();
break;
}
default:
{
break;
}
}
switch (meanType_)
{
case meanType::geometric:
{
switch (coordinateType_)
{
case coordinateType::volume:
{
variance +=
sqr(Foam::log(fi.x()/mean))
*concentration/totalConcentration;
break;
}
case coordinateType::area:
{
variance +=
sqr(Foam::log(fi.a()/mean))
*concentration/totalConcentration;
break;
}
case coordinateType::diameter:
{
variance +=
sqr(Foam::log(fi.d()/mean))
*concentration/totalConcentration;
break;
}
}
break;
}
default:
{
switch (coordinateType_)
{
case coordinateType::volume:
{
variance +=
sqr(fi.x() - mean)*concentration/totalConcentration;
break;
}
case coordinateType::area:
{
variance +=
sqr(fi.a() - mean)*concentration/totalConcentration;
break;
}
case coordinateType::diameter:
{
variance +=
sqr(fi.d() - mean)*concentration/totalConcentration;
break;
}
}
break;
}
}
}
return tVariance;
}
Foam::tmp<Foam::volScalarField>
Foam::functionObjects::moments::stdDev()
{
switch (meanType_)
{
case meanType::geometric:
{
return exp(sqrt(this->variance()));
}
default:
{
return sqrt(this->variance());
}
}
}
// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
Foam::functionObjects::moments::moments
(
const word& name,
const Time& runTime,
const dictionary& dict
)
:
fvMeshFunctionObject(name, runTime, dict),
popBal_
(
obr_.lookupObject<Foam::diameterModels::populationBalanceModel>
(
dict.lookup("populationBalance")
)
),
momentType_(momentTypeNames_.read(dict.lookup("momentType"))),
coordinateType_(coordinateTypeNames_.read(dict.lookup("coordinateType"))),
weightType_
(
dict.found("weight")
? weightTypeNames_.read(dict.lookup("weightType"))
: weightType::numberConcentration
),
meanType_(meanType::notApplicable),
order_(-1),
fldPtr_(nullptr)
{
read(dict);
}
// * * * * * * * * * * * * * * * * Destructor * * * * * * * * * * * * * * * //
Foam::functionObjects::moments::~moments()
{}
// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
bool Foam::functionObjects::moments::read(const dictionary& dict)
{
fvMeshFunctionObject::read(dict);
switch (momentType_)
{
case momentType::integerMoment:
{
order_ = dict.lookup<int>("order");
break;
}
default:
{
meanType_ =
dict.found("meanType")
? meanTypeNames_.read(dict.lookup("meanType"))
: meanType::arithmetic;
break;
}
}
switch (momentType_)
{
case momentType::integerMoment:
{
fldPtr_.set
(
new volScalarField
(
IOobject
(
this->integerMomentFldName(),
mesh_.time().timeName(),
mesh_,
IOobject::NO_READ,
IOobject::NO_WRITE
),
mesh_,
dimensionedScalar(dimless, Zero)
)
);
volScalarField& integerMoment = fldPtr_();
setDimensions(integerMoment, momentType::integerMoment);
break;
}
case momentType::mean:
{
fldPtr_.set
(
new volScalarField
(
IOobject
(
this->defaultFldName(),
mesh_.time().timeName(),
mesh_,
IOobject::NO_READ,
IOobject::NO_WRITE
),
this->mean()
)
);
break;
}
case momentType::variance:
{
fldPtr_.set
(
new volScalarField
(
IOobject
(
this->defaultFldName(),
mesh_.time().timeName(),
mesh_,
IOobject::NO_READ,
IOobject::NO_WRITE
),
this->variance()
)
);
break;
}
case momentType::stdDev:
{
fldPtr_.set
(
new volScalarField
(
IOobject
(
this->defaultFldName(),
mesh_.time().timeName(),
mesh_,
IOobject::NO_READ,
IOobject::NO_WRITE
),
this->stdDev()
)
);
break;
}
}
return true;
}
bool Foam::functionObjects::moments::execute()
{
switch (momentType_)
{
case momentType::integerMoment:
{
volScalarField& integerMoment = fldPtr_();
integerMoment = Zero;
forAll(popBal_.sizeGroups(), i)
{
const Foam::diameterModels::sizeGroup& fi =
popBal_.sizeGroups()[i];
volScalarField concentration(fi*fi.phase()/fi.x());
switch (weightType_)
{
case weightType::volumeConcentration:
{
concentration *= fi.x();
break;
}
case weightType::areaConcentration:
{
concentration *= fi.a();
break;
}
default:
{
break;
}
}
switch (coordinateType_)
{
case coordinateType::volume:
{
integerMoment +=
pow(fi.x(), order_)*concentration;
break;
}
case coordinateType::area:
{
integerMoment +=
pow(fi.a(), order_)*concentration;
break;
}
case coordinateType::diameter:
{
integerMoment +=
pow(fi.d(), order_)*concentration;
break;
}
}
}
break;
}
case momentType::mean:
{
fldPtr_() = this->mean();
break;
}
case momentType::variance:
{
fldPtr_() = this->variance();
break;
}
case momentType::stdDev:
{
fldPtr_() = sqrt(this->variance());
break;
}
}
return true;
}
bool Foam::functionObjects::moments::write()
{
writeObject(fldPtr_->name());
return true;
}
// ************************************************************************* //

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@ -0,0 +1,258 @@
/*---------------------------------------------------------------------------*\
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2022 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/>.
Class
Foam::functionObjects::moments
Description
Calculates and writes out integral (integer moments) or mean properties
(mean, variance, standard deviation) of a size distribution computed with
multiphaseEulerFoam. Requires solver post-processing.
The following function object specification for example returns the first
moment of the volume-based number density function which is equivalent to
the phase fraction of the particulate phase:
\verbatim
moments
{
type moments;
libs ("libmultiphaseEulerFoamFunctionObjects.so");
executeControl timeStep;
writeControl writeTime;
populationBalance bubbles;
momentType integerMoment;
coordinateType volume;
order 1;
}
\endverbatim
Usage
\table
Property | Description | Required | Default
populationBalance | population balance name | yes |
momentType | desired moment of the distribution\\
| yes |
coordinateType | particle property | yes |
weightType | number/volume/area concentration\\
| no\\
| numberConcentration
order | order of integer moment | for integer moments |
meanType | arithmetic or geometric | for non-integer moments\\
| arithmetic
\endtable
See also
Foam::diameterModels::populationBalanceModel
Foam::functionObjects::fvMeshFunctionObject
Foam::functionObject
SourceFiles
moments.C
\*---------------------------------------------------------------------------*/
#ifndef functionObjects_moments_H
#define functionObjects_moments_H
#include "fvMeshFunctionObject.H"
#include "populationBalanceModel.H"
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
namespace Foam
{
namespace functionObjects
{
/*---------------------------------------------------------------------------*\
Class moments Declaration
\*---------------------------------------------------------------------------*/
class moments
:
public fvMeshFunctionObject
{
public:
//- Enumeration for the moment types
enum class momentType
{
integerMoment,
mean,
variance,
stdDev
};
//- Names of the moment types
static const NamedEnum<momentType, 4> momentTypeNames_;
//- Enumeration for the coordinate types
enum class coordinateType
{
volume,
area,
diameter
};
//- Names of the coordinate types
static const NamedEnum<coordinateType, 3> coordinateTypeNames_;
//- Enumeration for the weight types
enum class weightType
{
numberConcentration,
volumeConcentration,
areaConcentration
};
//- Names of the weight types
static const NamedEnum<weightType, 3> weightTypeNames_;
//- Enumeration for the mean types
enum class meanType
{
arithmetic,
geometric,
notApplicable
};
//- Names of the mean types
static const NamedEnum<meanType, 3> meanTypeNames_;
private:
// Private Data
//- Reference to population balance
const Foam::diameterModels::populationBalanceModel& popBal_;
//- Moment type
momentType momentType_;
//- Coordinate type
coordinateType coordinateType_;
//- Weight type
weightType weightType_;
//- Mean type
meanType meanType_;
//- Integer moment order
int order_;
//- Result field
autoPtr<volScalarField> fldPtr_;
// Private Member Functions
//- Coordinate type symbolic name for shorter field names
word coordinateTypeSymbolicName();
//- Weight type symbolic name for shorter field names
word weightTypeSymbolicName();
//- Default field name
word defaultFldName();
//- Integer moment field name
word integerMomentFldName();
//- Set dimensions
void setDimensions(volScalarField& fld, momentType momType);
//- Total concentration
tmp<volScalarField> totalConcentration();
//- Mean value
tmp<volScalarField> mean();
//- Variance
tmp<volScalarField> variance();
//- Standard deviation
tmp<volScalarField> stdDev();
public:
//- Runtime type information
TypeName("moments");
// Constructors
//- Construct from Time and dictionary
moments
(
const word& name,
const Time& runTime,
const dictionary&
);
//- Disallow default bitwise copy construction
moments(const moments&) = delete;
//- Destructor
virtual ~moments();
// Member Functions
//- Read the data
virtual bool read(const dictionary&);
//- Return the list of fields required
virtual wordList fields() const
{
return wordList::null();
}
//- Calculate the force fields
virtual bool execute();
//- Write the force fields
virtual bool write();
// Member Operators
//- Disallow default bitwise assignment
void operator=(const moments&) = delete;
};
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
} // End namespace functionObjects
} // End namespace Foam
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
#endif
// ************************************************************************* //

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@ -0,0 +1,34 @@
/*--------------------------------*- C++ -*----------------------------------*\
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Version: dev
\\/ M anipulation |
-------------------------------------------------------------------------------
Description
Calculates and writes out integral (integer moments) or mean properties
(mean, variance, standard deviation) of a size distribution computed with
multiphaseEulerFoam. Requires solver post-processing.
\*---------------------------------------------------------------------------*/
type moments;
libs ("libmultiphaseEulerFoamFunctionObjects.so");
populationBalance <populationBalance>;
momentType <moment>; // integerMoment, mean, variance,
// stdDev
coordinateType <coordinate>; // volume, area, diameter
weightType numberConcentration; // volumeConcentration,
// areaConcentration
// defaults to numberConcentration
order 0; // relevant for integer moments only
mean arithmetic; // geometric
// relevant for non-integer moments,
// defaults to arithmetic
executeControl timeStep;
writeControl writeTime;
// ************************************************************************* //

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@ -6,6 +6,6 @@ cd "${0%/*}" || exit 1
# Source clean functions
. $WM_PROJECT_DIR/bin/tools/CleanFunctions
cleanCase && rm -f moments.eps numberDensity.eps
cleanCase && rm -rf *.eps 0/d.air 0/uniform/ 0/integerMoment*
#------------------------------------------------------------------------------

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@ -28,7 +28,7 @@ deltaT 0.01;
writeControl runTime;
writeInterval 6;
writeInterval 0.2;
purgeWrite 0;
@ -68,21 +68,30 @@ functions
densityFunction yes;
}
moments
{
type sizeDistribution;
functionObjectLibs ("libmultiphaseEulerFoamFunctionObjects.so");
#includeFunc moments
(
populationBalance=bubbles,
momentType=integerMoment,
coordinateType=volume,
order=1
)
writeControl runTime;
writeInterval 0.1;
#includeFunc moments
(
populationBalance=bubbles,
momentType=integerMoment,
coordinateType=volume,
order=0
)
setFormat raw;
populationBalance bubbles;
functionType moments;
coordinateType volume;
maxOrder 1;
}
#includeFunc probes
(
funcName=probes,
points=((0.5 0.5 0.5)),
integerMoment0(N,v).bubbles,
integerMoment1(N,v).bubbles,
writeControl=writeTime
)
}
// ************************************************************************* //

View File

@ -36,9 +36,9 @@ gnuplot<<EOF
set yrange [0.5:3.5]
set key top left
plot '../postProcessing/moments/0/moments.dat' every 2 u 1:(\$2/0.02186682) w p pt 5 lc rgb 'black' t 'j=0 (Numbers), numerical',\
plot '../postProcessing/probes/0/integerMoment0(N,v).bubbles' u 1:(\$2/0.02186682) w p pt 5 lc rgb 'black' t 'j=0 (Numbers), numerical',\
'<printf "0 1\n6 1\n"' w l lc rgb 'black' t 'j=0 (Numbers), exact',\
'../postProcessing/moments/0/moments.dat' u 1:(\$3/0.066553351) every 2 w p pt 6 lc rgb 'black' t 'j=1 (Volume), numerical',\
'../postProcessing/probes/0/integerMoment1(N,v).bubbles' u 1:(\$2/0.066553351) w p pt 6 lc rgb 'black' t 'j=1 (Volume), numerical',\
'<printf "0 1\n6 3\n"' w l dt 2 lc rgb 'black' t 'j=1 (Volume), exact'
EOF