Abstract
We introduce an approximate Roe type Riemann solver for the numerical simulation of two-phase fluid flows composed of liquid droplets suspended in gas. We compute a Roe linearization of some well-conditioned approximate Rankine-Hugoniot relations in non-conservation form. The computed solutions are found to be in good agreement with the exact solution in one dimension slab geometry. We extend this solver to two-dimensional geometries using a finite volume formulation.
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