A finite-volume method is presented for the computation of compressible flows of two immiscible fluids at very different densities. The novel ingredient in the method is a two-fluid linearized Godunov scheme, allowing for flux computations in case of different fluids (e.g., water and air) left and right of a cell face. A level-set technique is employed to distinguish between the two fluids. The level-set equation is incorporated into the system of hyperbolic conservation laws

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Modelling, Analysis and Simulation [MAS]
Scientific Computing

Koren, B, Lewis, M.R, van Brummelen, E.H, & van Leer, B. (2001). Riemann-problem and level-set approaches for two-fluid flow computations I. Linearized Godunov scheme. Modelling, Analysis and Simulation [MAS]. CWI.