A finite-volume method is considered for the computation of flows of two compressible, immiscible fluids at very different densities. A level-set technique is employed to distinguish between the two fluids. A simple ghost-fluid method is presented as a fix for the solution errors ('pressure oscillations') that may occur near two-fluid interfaces when applying a capturing method. Computations with it for compressible two-fluid flows with arbitrarily large density ratios yield perfectly sharp, pressure-oscillation-free interfaces. The masses of the separate fluids appear to be conserved up to first-order accuracy.

Modelling, Analysis and Simulation [MAS]
Scientific Computing

Koren, B., van Brummelen, H., Hemker, P., van Leer, B., & Lewis, M. (2003). Fix for solution errors near interfaces in two-fluid flow computations. Modelling, Analysis and Simulation [MAS]. CWI.