Gas-Kinetic Relaxation (BGK-Type) Schemes for the Compressible Euler Equations

摘要

Starting from the gas-kinetic model, a new class of relaxation schemes for the Euler equations are presented. Instead of linearizing the Euler equations into a few simple waves, the new flow solvers are based on teh BGK model for the evolution of particle distribution functions, i.e. a nonequilibrium state will evolve into an equilibrium state along with the increasing of entropy. The numerical discretization combines naturally both the Lax-Wendroff and the Flux Vector Splitting type schemes. The nuemrical results for a few welldefined test cases are presented to indicate the robustness and accuracy of the BGK-type schemes.