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Usage of fvm and fvc

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Old   July 27, 2012, 07:54
Default Usage of fvm and fvc
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Can anyone help me to understand how to use fvm and fvc?
Here in the forum I found one helpfull thread:
The programmers guide explaines the subject in chapter 2.4. Is says, fvc means a list of values defined at locations in the geometry. It says, fvm are coefficients. Ok.

Let's take an example, the U-equation in piso-Foam:

Quote:
fvVectorMatrix UEqn
(
fvm::ddt(U)
+ fvm::div(phi, U)
+ turbulence->divDevReff(U)
);
I already fail with dU/dt. I thought, U is defined for every mesh cell -> at every location -> it must be fvc. But it is not!!! Can someone help me to understand that example?


An other approach
I think, I understand the difference between explicit (fvc) and implicit derivative (fvm). If I have an equation like u=x*x, u can be calculated easily, it is fvc. An implicit equation is the example (2.12) [A][x] = [b]. Back to dU/dt.
I may write dU/dt = u(t)-u(t-1). Explicit. fvc. Wrong. --> How do I know when to use which namespace?

Thanks a lot for your help!
Norbert
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Old   July 27, 2012, 18:28
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More infos:
Taking an other example, the UEqn from mhdFoam:

Quote:
fvVectorMatrix UEqn
(
fvm::ddt(U)
+ fvm::div(phi, U)
- fvc::div(phiB, 2.0*DBU*B)
- fvm::laplacian(nu, U)
+ fvc::grad(DBU*magSqr(B))
);
The velocity U can not be calculated analytically, only by iteration. That means it is implicitely given = fvm.

When calculating U, the field B is kept constant. If it is constant, it may be calculated/readed easily (explicitly) = fvc.

=> So whenever there is a U in the UEqn, I have to write fvm, if it is not fvc. Can someone confirm that or say it better?
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