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Finite volume methods, reconstruction, etc.

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Old   January 23, 2012, 11:08
Default Finite volume methods, reconstruction, etc.
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Nereus
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Hi:

I have a question about finite volume methods, specifically regarding the calculation of fluxes at control volume faces. The books I have read devote a lot of time to discuss the reconstruction of scalar variable U at these faces. For example, the reconstruction of U_{i+1/2}. Then, it is usually stated that we can calculate the flux, F_{i+1/2}=F(U_{i+1/2}), and everything is peachy. I understand the reconstruction of U_{i+1/2}, but what confuses me is if, for instance, I'm considering an advective flux, what velocity do I use with the reconstructed variable at i+1/2 to get my flux? A simple average velocity at the control face?

In short, do I also have to go through the reconstruction process that I used for the scalar variable for the velocity vector?
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