混合通量差分格式的比较

A Comparison of Hybrid Flux Difference Schemes

系统研究了几种混合通量差分格式的构造方法和耗散模型,分别对低速平板绕流、二维跨音速喷管流动和高超音速钝头体无粘绕流进行了数值模拟,结合先进的EASM湍流模型对格式的粘性分辨率和激波稳定性进行了细致的比较分析.结果表明混合通量差分格式兼顾了FDS和FVS格式的优点,具有较高的间断分辨率和数值稳定性.

The building mechanism and artifical dissipation models of hybrid flux difference schemes are analyzed. The explicit algorithm turbulent model （EASM） is combined with the Reynolds average N-S equations to simulate turbulent flows. Resolution and robustness near shock discontinuities are investigated with low speed laminar/turbulent flows over a flat plate, transonic convergence-divergence diffuser flows and hypersonic inviscid flows over blunt-nose body. Compared with experimental data it shows that the hybrid flux difference schemes obtain similar resolution as a Roe-FDS scheme, and are free of non-physical numerical solutions as FVS schemes.