The simulation of compressible multi-phase flows poses additional difficulties in the numerical and thermodynamic description. In this case all conservation equations are coupled via the describing equation of state (EOS). This poses additional difficulties in the description of all interface related effects that includes surface tension and phase transition. The numerical description has to be thermodynamic and numerically consistent.
We have developed a sharp interface method based on the Ghost-Fluid approximation and resolve the interface jump conditions by a local solution at the interface.
To be able to reproduce realistic effects experimental investigations in the numerical approach we consider realistic EOS within the approximation. To speed-up the EOS evaluation we have developed a tabulation method that allows a speed-up of three order of magnitudes compared to the direct evaluation.
Examples of the suitability of the approach include the compressible treatment treatment of droplet dynamics