Conservative discretizations of two-fluid flow problems generally exhibitpressure oscillations. In this work we show that these pressure oscillationsare induced by the loss of a pressure-invariance property under discretization,and we introduce a non-oscillatory conservative method for barotropic two-fluidflows. The conservative formulation renders the two-fluid flow problem suitableto treatment by a Godunov-type method. We present a modified Osher scheme forthe two-fluid flow problem. Numerical results are presented for atranslating-interface test case and a shock/interface-collision test case.

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Modelling, Analysis and Simulation [MAS]
Scientific Computing

van Brummelen, H., & Koren, B. (2002). A pressure-invariant conservative Godunov-type method for barotropic two-fluid flows. Modelling, Analysis and Simulation [MAS]. CWI.