Random-Choice Based Hybrid Methods for One and Two Dimensional Gas Dynamics

摘要

Two hybrid methods applicable to the unsteady Euler equations in one or more space dimensions are presented. Each method consists of a smooth solver for smooth parts of the flow and the Random Choice Method for discontinuities. The solution of the Riemann problem (approximate or exact) gives sufficient information for switching between the smooth solver and RCM. In 1-D the hybrid methods give very accurate results throughout the flow field. Discontinuities are of zero width. In the multidimensional case shock waves are compromised, but contact discontinuities are still of zero width.