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How to translate code to formula?

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Old   July 7, 2021, 11:37
Question How to translate code to formula?
  #1
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sprayFoam had a member function called SU, which calculates the transfferd kinetic energy from the particles to the gas. This function returned value code is listed as follows.

const DimensionedField<scalar, volMesh>
Vdt(mesh_.V()*this->db().time().deltaT());

/////////////////////////////////////////////////
UTrans()/Vdt - fvm::Sp(UCoeff()/Vdt, U) + UCoeff()/Vdt*U //If U is solved semiImplicitly
/////////////////////////////////////////////////
tmp<fvVectorMatrix> tfvm(new fvVectorMatrix(U, dimForce));
fvVectorMatrix& fvm = tfvm.ref();
fvm.source() = -UTrans()/(this->db().time().deltaT()) //Other condition
/////////////////////////////////////////////////
tmp<fvVectorMatrix>(new fvVectorMatrix(U, dimForce)) //Default value

where :// Sources

//- Momentum
autoPtr<DimensionedField<vector, volMesh>> UTrans_;

//- Coefficient for carrier phase U equation
autoPtr<DimensionedField<scalar, volMesh>> UCoeff_;

My question is how to translate the code to formula? Especially the first code.

Thanks a lots!
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Old   July 7, 2021, 12:29
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It's almost impossible to understand the code you quoted ... partly because you didn't embed it using the code tags, and partly becaus you edited it leaving out the crucial parts that explain the context. Luckily I found the code that you are referring to in https://cpp.openfoam.org/v8/Kinemati...e.html#l00420:

Code:
 template<class CloudType>
 inline Foam::tmp<Foam::fvVectorMatrix>
 Foam::KinematicCloud<CloudType>::SU(volVectorField& U) const
 {
     if (debug)
     {
      ...
     }
 
     if (solution_.coupled())
     {
         if (solution_.semiImplicit("U"))
         {
             const volScalarField::Internal
                 Vdt(mesh_.V()*this->db().time().deltaT());
 
             return UTrans()/Vdt - fvm::Sp(UCoeff()/Vdt, U) + UCoeff()/Vdt*U;
         }
         else
         {
             tmp<fvVectorMatrix> tfvm(new fvVectorMatrix(U, dimForce));
             fvVectorMatrix& fvm = tfvm.ref();
 
             fvm.source() = -UTrans()/(this->db().time().deltaT());
 
             return tfvm;
         }
     }
 
     return tmp<fvVectorMatrix>(new fvVectorMatrix(U, dimForce));
 }
So what is this doing? Well, this is calculating the source term that derives from the droplets, that is then used in the UEqn of the solver:

Code:
 tmp<fvVectorMatrix> tUEqn
 (
     fvm::ddt(rho, U) + fvm::div(phi, U)
   + MRF.DDt(rho, U)
   + turbulence->divDevTau(U)
  ==
     rho()*g
   + parcels.SU(U)
   + fvOptions(rho, U)
 );
If an implicit approach is being taken then it creates a volScalarField called Vdt (cell volume times timestep) and then generates an explicit source term using UTrans and Vdt. In fact, it's more cunning than that since part of the explicit source term is moved into the implicit source term (the fvm::Sp() term), and this is offset/negated by the last term on the line.

If the approach is not implicit, then it just calculates just an explicit source term.

Hopefully that should be enough for you to dig down into the details. Good luck!
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Old   July 7, 2021, 16:27
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Thanks!
I have already read the code. What I expect is the PDE/ODE expression "translated" from the code.
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Old   July 7, 2021, 16:30
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By the way, I still use OpenFoam 4.X.
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Old   July 7, 2021, 17:12
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ok ... this routine calculates source term:

S_U = - \frac{T}{\delta t}

where T is the momentum transfer term. I would have thought that was obvious from what I have written above, and I was trying to help you understand the code so that you could solve it yourself next time ...
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Old   July 8, 2021, 04:19
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Thanks once again.
What I mean is the "translation" of those two sentences in the code.
const volScalarField::Internal
Vdt(mesh_.V()*this->db().time().deltaT());

return UTrans()/Vdt - fvm::Sp(UCoeff()/Vdt, U) + UCoeff()/Vdt*U;
Especially the last senetence. Is it right?
Su=Utrans/deltaT-UCoeff/Vdt*U + UCoeff/Vdt*U? where Vdt = V*deltaT, V is the droplet velocity?
That's the point I want to know.
Best regards!
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Old   July 8, 2021, 04:59
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Use CODE TAGS for these long stuff man.... It is impossible to read this...

No. mesh_.V() returns the cell volumes. So Vdt is the cell volume multiplied by the timestep. The velocity is usually called U everywhere.


BTW:
Code tags (You have to remove the spaces after first "CODE" !!! I just inserted so you can see the syntax):
[CODE ] void thisIsADumbCode(int, int) {...} [/CODE]
And it'll be:
Code:
 void thisIsADumbCode(int, int) {...}
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Old   July 8, 2021, 06:01
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If you really want to dig into the code and understand it, then first up - well done, that's the only way you will really understand how OpenFOAM works; secondly - buckle up, since you've got a heck of a ride in front of you! The lot's to get your head around. One bit of advice is that the Doxygen pages are REALLY useful for finding code, and tracking down variables etc ... there is a version for v4:

https://cpp.openfoam.org/v4/classFoa...20320c31fba00c

the page I quoted has the class ref for V() - click on the metalink 186 to take you through to line 186 of the code etc. Also, read the header code in the associated .H files, and slowly you will start to build up the picture.

Good luck again.
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