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FDM derived from FVM

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Old   September 15, 2008, 14:12
Default FDM derived from FVM
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I have a question concerning Finite Volume Methods.

Many papers, which I have seen describe finite volume techniques like finite differences. For instance:

d(Q*V)/dt + d(F)/dx = 0

Once, I was told that it is possible to derive a quasi-finite difference method from the integral formulation of the conservation laws. I have found a dissertation from Cheong which describes it briefly. What I understood is:

V*dQ/dt + dV/dt*Q = d(Q*V)/dt, V /= f(t) V*dQ/dt = d(Q*V)/dt

But I cannot see how this will help me for the second integral and the flux F. In that diss, the result is:


I would be really glad to see a paper or something else which describes that mathematical trick in details.

Thanks for your help, in advance.
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