Pressure Relaxation Procedures for Multiphase Compressible Flows
Abstract
Multiphase compressible flow models are usefull for the numerical simulation of a wide range of applications¸: interface problems, detonation physics, shock waves in mixtures, cavitation flows etc. The numerical solution of such models involves several ingredients. One of those ingredients is the instantaneous pressure relaxation process and is of particular importance. In this report, we present and compare existing and new pressure relaxation procedures in terms of both accuracy and computational efficiency. Among those procedures we enhance one which seems to be particularly well suited for problems with large pressure variations between two phases. Moreover, it deals with general equations of state (EOS). Some tests are provided to illustrate those comparisons.