Godunov schemes for compressible multiphase flows

Compressible multiphase models have been studied for a long time inspired on different applications in diverse engineering areas. Solutions for these equations are not simple and researcher have spent much time trying to bring answers. The possibility to properly solve these equations and perform real simulations represent a very ambitious goal. Today new numerical techniques show a promising path to reach the goal. We are concerned with the construction of Godunov-type schemes for compressible multiphase flows. In particular we study finite volume methods for the Baer-Nunziato equations [1], a system of seven equations for the 1D case. First we assess the stratified approach reported in [2], whereby the two-phase Riemann problem is reduced to a set of simpler ones in which the initial states are single phases. Then we propose the extension of the EVILIN [3] approach to solve approximately the complete two phase Riemann problem. Numerical results for test problems with exact solutions [4] are presented