A Fluid-Mixture Algorithm For Compressible Multi-Medium Flow

A fluid-mixture algorithm is presented for compressible multi-medium flow. The equation modelis obtained to describe the multi-medium flow by coupling the fluid volume fraction model to thecompressible fluid dynamics systems. The Runge-Kutta discontinuous Galerkin method (RKDG) isconstructed for the five-equation model and is extended to the simulation of multi-medium flow withgeneral equation of state (EOS). Several numerical experiments are conducted to demonstraterobustness and efficiency of the current method. They include several1D and2D gas-gas, gas-waterand gas-copper flow problems, involving a large density gradient at the material interface and strongshock-interface interactions. The numerical results show that the algorithm given in this paper cancapture the shock waves and the material interface with high accuracy, and is stable and robust evenfor solutions with large density and pressure gradients.