Talk:Finite volume method

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Physics: Fluid Dynamics Start‑class Mid‑importance

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The finite volume method looks similar to the finite element method. In both cases, the integral by a subdomain is approximated by a mean value...

There are differences too; they are two completely different methods A.N. Yzelman 09:41, 30 August 2007 (UTC)[reply]

We need to add a section on upwinding. —Preceding unsigned comment added by GeneralKickass (talk • contribs) 04:32, 25 December 2007 (UTC)[reply]

Equation Error

Looks to me like there is a sign error in equations (4), (5), and (6). Someone should verify, but it appears that when df/dx was moved to the right hand side, it was not turned negative.

Think about it, for the amount of rho at time two to be greater than at time one, you need a net decreasing flux to the right (df/dx must be negative). Thus for the integral in equation (4) to be valid, it must be subtracted from the initial amount of rho.

The same correction is needed with (5), and with (6) either the sign on the flux integrals should be swapped, or the indexes can be. When the equation was re-arranged in (7), correct sign convention appears to be in order again.

If this is the case and I'm not just going nuts about nothing, someone with equation-editing know-how ought to give it a quick adjust. --LANMasta (talk) 23:41, 10 August 2009 (UTC)[reply]

You are correct and I have made the necessary changes. I have also made some other minor modifications that I hope will aid understanding. Griffgruff (talk) 10:13, 15 August 2009 (UTC)[reply]