Fixes are presented for the solution errors (`pressure oscillations') that may occur near two-fluid interfaces when applying a capturing method. The fixes are analyzed and tested. For two-fluid flows with arbitrarily large density ratios, a variant of the ghost-fluid method appears to be a perfect remedy. Results are presented for compressible water-air flows. The results are promising for a further elaboration of this important application area. The paper contributes to the state-of-the-art in computing two-fluid flows.

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CWI
Modelling, Analysis and Simulation [MAS]
Scientific Computing

Koren, B., Lewis, M., van Brummelen, H., & van Leer, B. (2001). Riemann-problem and level-set approaches for two-fluid flow computations II. Fixes for solution errors near interfaces.. Modelling, Analysis and Simulation [MAS]. CWI.