Numerical schemes for the coupling of compressible and incompressible fluids in several space dimensions

摘要

We present a numerical scheme for immiscible two-phase flows with one compressible phase and one incompressible phase. Special emphasis lies in the discussion of the coupling strategy for compressible and incompressible Euler equations to simulate inviscid liquid–vapor flows. To reduce the computational effort further, we also introduce two approximate coupling strategies. The resulting schemes are compared numerically to a fully compressible scheme and show good agreement with these standard algorithm at lower numerical costs.