Applying Upwind Godunov Methods to Calculate Two—Phase Mixture Conservation Laws

摘要

This paper continues a previous work (ICNAAM 2009; AIP Conference Proceedings, 1168, 601-604) on solving a hyperbolic conservative model for compressible gas—solid mixture flow using upwind Godunov methods. The numerical resolution of the model from Godunov first—order upwind and MUSCL—Hancock methods are reported. Both methods are based on the HLL Riemann solver in the framework of finite volume techniques. Calculation results are presented for a series of one—dimensional test problems. The results show that upwind Godunov methods are accurate and robust enough for two—phase mixture conservation laws.