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Help with 2D UPWIND Solver
Posted Mon October 09, 2006 @08:38AM
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Help Desk tizianoghisu writes "I am trying to write a 2D solver for the Euler equations (initially ...) for simulating the flow inside a channel (or duct). Because the problem is advection dominated (even when I will introduce the stresses ...) I chose to use an upwind discretisation for the fluxes to avoid using artificial viscosity to stabilise the solutions. Initially I am trying a simple 1st order UPWIND (or cell-donor scheme), I might improve it later.

Everything works in 1D, but not in 2D. I guess the problems comes from the fact that the flow is more or less in the same direction of the pseudo-horizontal cell boundaries, and this gives me trouble when discretising the flux through the north and south boundaries.

Any suggestion on how to solve the problem pratically?

Thanks in advance"

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