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reactingEulerFoam: Corrected LaakkonenAlopaeusAittamaa daughter size distribution model

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This fix also required a generalization of the corresponding base class,
which allows the user to specify the number of daughter particles per
breakup event separately.

Patch contributed by Institute of Fluid Dynamics,
Helmholtz-Zentrum Dresden - Rossendorf (HZDR)
This commit is contained in:
Will Bainbridge
2019-07-25 08:41:45 +01:00
parent e24f701372
commit 7af67fbf3f
13 changed files with 138 additions and 98 deletions
Download Patch File Download Diff File Expand all files Collapse all files

2
applications/solvers/multiphase/reactingEulerFoam/phaseSystems/Make/files
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@ -37,7 +37,7 @@ populationBalanceModel/breakupModels/LaakkonenAlopaeusAittamaa/LaakkonenAlopaeus
populationBalanceModel/breakupModels/powerLaw/powerLaw.C
populationBalanceModel/daughterSizeDistributionModels/daughterSizeDistributionModel/daughterSizeDistributionModel.C
populationBalanceModel/daughterSizeDistributionModels/uniformBinary/uniformBinary.C
populationBalanceModel/daughterSizeDistributionModels/uniform/uniform.C
populationBalanceModel/daughterSizeDistributionModels/LaakkonenAlopaeusAittamaaDsd/LaakkonenAlopaeusAittamaaDsd.C
populationBalanceModel/driftModels/driftModel/driftModel.C

75
applications/solvers/multiphase/reactingEulerFoam/phaseSystems/populationBalanceModel/daughterSizeDistributionModels/LaakkonenAlopaeusAittamaaDsd/LaakkonenAlopaeusAittamaaDsd.C
View File

@ -2,7 +2,7 @@
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2018 OpenFOAM Foundation
\\ / A nd | Copyright (C) 2018-2019 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
@ -56,7 +56,8 @@ LaakkonenAlopaeusAittamaaDsd::LaakkonenAlopaeusAittamaaDsd
const dictionary& dict
)
:
daughterSizeDistributionModel(breakup, dict)
daughterSizeDistributionModel(breakup, dict),
C4_(dimensionedScalar::lookupOrDefault("C4", dict, dimless, 4.3))
{}
@ -69,6 +70,26 @@ LaakkonenAlopaeusAittamaaDsd::~LaakkonenAlopaeusAittamaaDsd()
// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
Foam::dimensionedScalar
Foam::diameterModels::daughterSizeDistributionModels::
LaakkonenAlopaeusAittamaaDsd::antiderivative
(
const dimensionedScalar& xk,
const dimensionedScalar& v,
const dimensionedScalar& bndr,
const dimensionedScalar range
) const
{
return
(
pow(xk, -C4_ - 3)*pow(xk - v, C4_)*(v - xk)*((C4_ + 1)*(C4_ + 2)
*(C4_ + 3)*pow3(v) - (C4_ + 1)*(C4_ + 2)*(bndr*(C4_ + 4) - 3.0*xk)
*sqr(v) - 2.0*xk*(C4_ + 1)*(bndr*(C4_ + 4) - 3.0*xk)*v - 2.0*bndr
*sqr(xk)*C4_ + 6.0*pow3(xk) - 8.0*bndr*sqr(xk))
)/(2.0*(range)*(C4_ + 4));
}
Foam::dimensionedScalar
Foam::diameterModels::daughterSizeDistributionModels::
LaakkonenAlopaeusAittamaaDsd::calcNik
@ -77,52 +98,42 @@ LaakkonenAlopaeusAittamaaDsd::calcNik
const label k
) const
{
const dimensionedScalar& xi = breakup_.popBal().sizeGroups()[i].x();
const dimensionedScalar& xk = breakup_.popBal().sizeGroups()[k].x();
const dimensionedScalar& x0 = breakup_.popBal().sizeGroups()[0].x();
dimensionedScalar xi = breakup_.popBal().sizeGroups()[i].x() - x0;
dimensionedScalar xk = breakup_.popBal().sizeGroups()[k].x() - x0;
const UPtrList<sizeGroup>& sizeGroups = breakup_.popBal().sizeGroups();
if (i == 0)
{
const dimensionedScalar& xii = sizeGroups[i+1].x();
dimensionedScalar xii = sizeGroups[i+1].x() - x0;
if (k == 0)
{
return 1.0;
}
return
(
5.0*pow4(xii)*sqr(xk) - 12.0*pow5(xi)*xii + 10.0*pow6(xi)
- (20.0*pow3(xi)*xii - 15.0*pow4(xi))*sqr(xk) - 6.0*pow5(xii)*xk
- (24*pow5(xi) - 30*pow4(xi)*xii)*xk + 2*pow6(xii)
)
/((xii - xi)*pow5(xk));
antiderivative(xk, xi, xii, (xii-xi))
- antiderivative(xk, xii, xii, (xii-xi));
}
else if (i == k)
{
const dimensionedScalar& x = sizeGroups[i-1].x();
dimensionedScalar x = sizeGroups[i-1].x() - x0;
return
(
(15.0*pow4(xi) - 20.0*x*pow3(xi))*sqr(xk)
+ 5.0*pow4(x)*sqr(xk) + (30.0*x*pow4(xi) - 24.0*pow5(xi))*xk
- 6.0*pow5(x)*xk + 10.0*pow6(xi) - 12.0*x*pow5(xi) + 2.0*pow6(x)
)
/((xi - x)*pow5(xk));
antiderivative(xk, xi, x, (xi-x))
- antiderivative(xk, x, x, (xi-x));
}
else
{
const dimensionedScalar& x = sizeGroups[i-1].x();
const dimensionedScalar& xii = sizeGroups[i+1].x();
dimensionedScalar x = sizeGroups[i-1].x() - x0;
dimensionedScalar xii = sizeGroups[i+1].x() - x0;
return
(
5.0*pow4(xii)*sqr(xk) - 12.0*pow5(xi)*xii + 10.0*pow6(xi)
- (20.0*pow3(xi)*xii - 15.0*pow4(xi))*sqr(xk) - 6.0*pow5(xii)*xk
- (24*pow5(xi) - 30*pow4(xi)*xii)*xk + 2*pow6(xii)
)
/((xii - xi)*pow5(xk))
+ (
(15.0*pow4(xi) - 20.0*x*pow3(xi))*sqr(xk)
+ 5.0*pow4(x)*sqr(xk) + (30.0*x*pow4(xi) - 24.0*pow5(xi))*xk
- 6.0*pow5(x)*xk + 10.0*pow6(xi) - 12.0*x*pow5(xi) + 2.0*pow6(x)
)
/((xi - x)*pow5(xk));
antiderivative(xk, xi, xii, (xii-xi))
- antiderivative(xk, xii, xii, (xii-xi))
+ antiderivative(xk, xi, x, (xi-x))
- antiderivative(xk, x, x, (xi-x));
}
}

43
applications/solvers/multiphase/reactingEulerFoam/phaseSystems/populationBalanceModel/daughterSizeDistributionModels/LaakkonenAlopaeusAittamaaDsd/LaakkonenAlopaeusAittamaaDsd.H
View File

@ -2,7 +2,7 @@
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2018 OpenFOAM Foundation
\\ / A nd | Copyright (C) 2018-2019 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
@ -27,14 +27,13 @@ Class
Description
Daughter size distribution model used by Laakkonen et al. (2006). Note that
it must be multiplied by the number of daughter particles (2). Also, the
coefficient C4 needs to be set to the value of 2 as to ensure number and
mass conservation following Kumar and Ramkrishna (1996). Also the internal
coordinate was changed to particle volume, which gives
the diameters in the original expression was substituted by bubble volumes
giving
\f[
\frac{60}{v_j} \left(\frac{v_i}{v_j}\right)^{2}
\left(1 - \frac{v_i}{v_j}\right)^{2}
\left(9 + \frac{33}{2}C_4 + 9C_4^2 + \frac{3}{2}C_4^3\right)
\times \left(\frac{1}{3}\right) \left(\frac{1}{v_j}\right)
\left(\frac{v_i}{v_j}\right)^{2} \left(1 - \frac{v_i}{v_j}\right)^{C_4}
\f]
where
@ -53,20 +52,10 @@ Description
Eq. 3, p. 220.
\endverbatim
\verbatim
Kumar, S., & Ramkrishna, D. (1996).
On the solution of population balance equations by discretization-I.
A fixed pivot technique.
Chemical Engineering Science, 51(8), 1311-1332.
Eq. 33, p. 1318.
\endverbatim
Usage
\table
Property | Description | Required | Default value
C1 | Coefficient C1 | no | 6.0
C2 | Coefficient C2 | no | 0.04
C3 | Coefficient C3 | no | 0.01
C4 | Coefficient C4 | no | 4.3
\endtable
SourceFiles
@ -96,6 +85,12 @@ class LaakkonenAlopaeusAittamaaDsd
:
public daughterSizeDistributionModel
{
// Private Data
//- Optional coefficient C4, defaults to 4.3
dimensionedScalar C4_;
public:
//- Runtime type information
@ -117,8 +112,16 @@ public:
// Member Functions
//- Return total number of particles assigned to class i when a particle
// of class k breaks
//- Calculate antiderivative
dimensionedScalar antiderivative
(
const dimensionedScalar& xk,
const dimensionedScalar& v,
const dimensionedScalar& bndr,
const dimensionedScalar range
) const;
//- Calculate contribution to sizeGroup i due to breakup in sizeGroup k
virtual dimensionedScalar calcNik(const label i, const label k) const;
};

25
applications/solvers/multiphase/reactingEulerFoam/phaseSystems/populationBalanceModel/daughterSizeDistributionModels/daughterSizeDistributionModel/daughterSizeDistributionModel.C
View File

@ -2,7 +2,7 @@
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2017-2018 OpenFOAM Foundation
\\ / A nd | Copyright (C) 2017-2019 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
@ -79,7 +79,18 @@ daughterSizeDistributionModel
const dictionary& dict
)
:
breakup_(breakup)
breakup_(breakup),
particleNumber_
(
dimensionedScalar::lookupOrDefault
(
"particleNumber",
dict,
dimless,
2.0
)
),
nik_()
{}
@ -93,8 +104,7 @@ Foam::diameterModels::daughterSizeDistributionModel::
// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
const Foam::dimensionedScalar&
Foam::diameterModels::daughterSizeDistributionModel::
nik
Foam::diameterModels::daughterSizeDistributionModel::nik
(
const label i,
const label k
@ -114,7 +124,12 @@ void Foam::diameterModels::daughterSizeDistributionModel::correct()
for (label i = 0; i <= k; i++)
{
nik_[k].append(new dimensionedScalar (this->calcNik(i, k)));
nik_[k].append
(
new dimensionedScalar
(
particleNumber_*this->calcNik(i, k))
);
}
}
}

22
applications/solvers/multiphase/reactingEulerFoam/phaseSystems/populationBalanceModel/daughterSizeDistributionModels/daughterSizeDistributionModel/daughterSizeDistributionModel.H
View File

@ -2,7 +2,7 @@
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2017-2018 OpenFOAM Foundation
\\ / A nd | Copyright (C) 2017-2019 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
@ -25,7 +25,14 @@ Class
Foam::diameterModels::daughterSizeDistributionModel
Description
Base class for daughter size distribution models.
Base class for daughter size distribution models. Calculates and stores
the contribution to a sizeGroup i due to breakup in a larger sizeGroup k.
Usage
\table
Property | Description | Required | Default value
p | daughter particle number | no | 2
\endtable
SourceFiles
daughterSizeDistributionModel.C
@ -60,7 +67,10 @@ protected:
//- Reference to the breakupModel
const breakupModel& breakup_;
//- nik
//- Number of daughter particles, defaults to binary breakup
dimensionedScalar particleNumber_;
//- Contribution to sizeGroup i due to breakup in sizeGroup k
PtrList<PtrList<dimensionedScalar>> nik_;
@ -109,15 +119,13 @@ public:
// Member Functions
//- Return total number of particles assigned to class i when a particle
// of class k breaks
//- Return contribution to sizeGroup i due to breakup in sizeGroup k
const dimensionedScalar& nik(const label i, const label k) const;
//- Correct field independent expressions
void correct();
//- Calculate and return total number of particles assigned to class i
// when a particle of class k breaks
//- Calculate contribution to sizeGroup i due to breakup in sizeGroup k
virtual dimensionedScalar calcNik
(
const label i,

30
applications/solvers/multiphase/reactingEulerFoam/phaseSystems/populationBalanceModel/daughterSizeDistributionModels/uniformBinary/uniformBinary.C → applications/solvers/multiphase/reactingEulerFoam/phaseSystems/populationBalanceModel/daughterSizeDistributionModels/uniform/uniform.C
View File

@ -2,7 +2,7 @@
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2017-2018 OpenFOAM Foundation
\\ / A nd | Copyright (C) 2017-2019 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
@ -23,7 +23,7 @@ License
\*---------------------------------------------------------------------------*/
#include "uniformBinary.H"
#include "uniform.H"
#include "addToRunTimeSelectionTable.H"
#include "breakupModel.H"
@ -35,11 +35,11 @@ namespace diameterModels
{
namespace daughterSizeDistributionModels
{
defineTypeNameAndDebug(uniformBinary, 0);
defineTypeNameAndDebug(uniform, 0);
addToRunTimeSelectionTable
(
daughterSizeDistributionModel,
uniformBinary,
uniform,
dictionary
);
}
@ -49,8 +49,8 @@ namespace daughterSizeDistributionModels
// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
Foam::diameterModels::daughterSizeDistributionModels::uniformBinary::
uniformBinary
Foam::diameterModels::daughterSizeDistributionModels::uniform::
uniform
(
const breakupModel& breakup,
const dictionary& dict
@ -62,35 +62,41 @@ uniformBinary
// * * * * * * * * * * * * * * * * Destructor * * * * * * * * * * * * * * * //
Foam::diameterModels::daughterSizeDistributionModels::uniformBinary::
~uniformBinary()
Foam::diameterModels::daughterSizeDistributionModels::uniform::
~uniform()
{}
// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
Foam::dimensionedScalar
Foam::diameterModels::daughterSizeDistributionModels::uniformBinary::calcNik
Foam::diameterModels::daughterSizeDistributionModels::uniform::calcNik
(
const label i,
const label k
) const
{
const dimensionedScalar& x0 = breakup_.popBal().sizeGroups()[0].x();
const dimensionedScalar& xi = breakup_.popBal().sizeGroups()[i].x();
const dimensionedScalar& xk = breakup_.popBal().sizeGroups()[k].x();
const UPtrList<sizeGroup>& sizeGroups = breakup_.popBal().sizeGroups();
if (i == 0)
{
return (sizeGroups[i+1].x() - xi)/xk;
if (k == 0)
{
return 1.0;
}
return (sizeGroups[i+1].x() - xi)/(2.0*(xk - x0));
}
else if (i == k)
{
return (xi - sizeGroups[i-1].x())/xk;
return (xi - sizeGroups[i-1].x())/(2.0*(xk - x0));
}
else
{
return (sizeGroups[i+1].x() - xi)/xk + (xi - sizeGroups[i-1].x())/xk;
return (sizeGroups[i+1].x() - sizeGroups[i-1].x())/(2.0*(xk - x0));
}
}

27
applications/solvers/multiphase/reactingEulerFoam/phaseSystems/populationBalanceModel/daughterSizeDistributionModels/uniformBinary/uniformBinary.H → applications/solvers/multiphase/reactingEulerFoam/phaseSystems/populationBalanceModel/daughterSizeDistributionModels/uniform/uniform.H
View File

@ -2,7 +2,7 @@
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2017-2018 OpenFOAM Foundation
\\ / A nd | Copyright (C) 2017-2019 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
@ -22,20 +22,18 @@ License
along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
Class
Foam::diameterModels::daughterSizeDistributionModels::uniformBinary
Foam::diameterModels::daughterSizeDistributionModels::uniform
Description
Uniform binary daughter size distribution. Used for verification and
validation of the breakup formulation implemented in the
populationBalanceModel class.
Uniform daughter size distribution.
SourceFiles
uniformBinary.C
uniform.C
\*---------------------------------------------------------------------------*/
#ifndef uniformBinary_H
#define uniformBinary_H
#ifndef uniform_H
#define uniform_H
#include "daughterSizeDistributionModel.H"
@ -49,22 +47,22 @@ namespace daughterSizeDistributionModels
{
/*---------------------------------------------------------------------------*\
Class uniformBinary Declaration
Class uniform Declaration
\*---------------------------------------------------------------------------*/
class uniformBinary
class uniform
:
public daughterSizeDistributionModel
{
public:
//- Runtime type information
TypeName("uniformBinary");
TypeName("uniform");
// Constructor
uniformBinary
uniform
(
const breakupModel& breakup,
const dictionary& dict
@ -72,13 +70,12 @@ public:
//- Destructor
virtual ~uniformBinary();
virtual ~uniform();
// Member Functions
//- Return total number of particles assigned to class i when a particle
// of class k breaks
//- Calculate contribution to sizeGroup i due to breakup in sizeGroup k
virtual dimensionedScalar calcNik(const label i, const label k) const;
};

2
applications/solvers/multiphase/reactingEulerFoam/phaseSystems/populationBalanceModel/populationBalanceModel/populationBalanceModel.H
View File

@ -122,7 +122,7 @@ Usage
{
C 0.5;
exponent 0.01;
daughterSizeDistributionModel uniformBinary;
daughterSizeDistributionModel uniform;
}
);

2
test/multiphase/reactingMultiphaseEulerFoam/populationBalanceModeling/breakup/constant/phaseProperties
View File

@ -133,7 +133,7 @@ populationBalanceCoeffs
powerLaw
{
power 2.0;
daughterSizeDistributionModel uniformBinary;
daughterSizeDistributionModel uniform;
}
);

2
test/multiphase/reactingMultiphaseEulerFoam/populationBalanceModeling/simultaneousCoalescenceAndBreakup/constant/phaseProperties
View File

@ -138,7 +138,7 @@ populationBalanceCoeffs
{
C 0.1;
exponent 0.01;
daughterSizeDistributionModel uniformBinary;
daughterSizeDistributionModel uniform;
}
);

2
tutorials/multiphase/reactingMultiphaseEulerFoam/laminar/bubbleColumnPolydisperse/constant/phaseProperties
View File

@ -114,7 +114,7 @@ populationBalanceCoeffs
{
C 0.5;
exponent 0.01;
daughterSizeDistributionModel uniformBinary;
daughterSizeDistributionModel uniform;
}
);

2
tutorials/multiphase/reactingTwoPhaseEulerFoam/RAS/bubbleColumnPolydisperse/constant/phaseProperties
View File

@ -93,7 +93,7 @@ populationBalanceCoeffs
{
C 10.0;
exponent 1.0;
daughterSizeDistributionModel uniformBinary;
daughterSizeDistributionModel uniform;
}
);

2
tutorials/multiphase/reactingTwoPhaseEulerFoam/RAS/wallBoilingPolyDisperse/constant/phaseProperties
View File

@ -91,7 +91,7 @@ populationBalanceCoeffs
{
C 0.5;
exponent 0.01;
daughterSizeDistributionModel uniformBinary;
daughterSizeDistributionModel uniform;
}
);