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Flux computation in unstructured grids

Posted July 16, 2010 at 10:49 by praveen (CFD, Numerical Analysis, Scientific Computing)

Consider finite volume scheme on unstructured grids for the Euler equations.

Let n=(n_x,n_y,n_z) be normal to a cell face and whose magnitude is equal to face area. Let Q be the conserved vector. The finite volume update equation using forward Euler time discretization is

Q^{n+1}_j = Q^n_j - \Delta t \sum_{k \in N(j)} F(Q_j^n, Q_k^n, n_{jk})

Here n_{jk} is a normal vector pointing from current cell "j" into the neighbouring cell...
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