A Comparison between Kinetic Flux Vector Splitting and Flux Difference Splitting Methods in Solution of Euler Equations

摘要

This paper is proposed to compare the performances of deferent inviscid flux approximation methods in solution of two-dimensional Euler equations.The methods belong to two different group of flux splitting methods:flux difference splitting(FDS) methods and kinetic flux vector splitting(KFVS) method.Here Roe method and Osher method belonging to flux difference splitting(FDS)group have been employed and their Performances are compared with that of kinetic flux vector splitting method(KFVS).Roe and Osher methods are based on approximate solution of Riemann problem over computational cell surfaces while the KFVS has a quit different base.In KFVS inviscid fluxes are approximated based on the kinetic theory and correlation between Boltzmann equation and Euler equations.For comparison the performances of the above mentioned methods three different problems have been solved.The first problem is flow over a 10 degree compression-expansion ramp with Mach number of 2.0,the second one is a transonic flow with Mach number of 0.85 over a 4.2% circular bump in a duct and the third is supersonic flow with Mach number of 3.0 over a circular blunt slab.