A pressure-invariant conservative Godunov-type method for barotropic two-fluid flows

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.