高超声速热化学非平衡空间格式的扩展与改进

Extension and improvement for schemes in hypersonic thermal and chemical non-equilibrium flows

扩展、改进和分析了ROE,MAPS,LDFSS,HLLC,HCUSP和ECUSP6种高分辨率空间格式于热化学非平衡流的计算中.采用5组分17反应的Dunn-Kang化学反应模型和Park的双温模型计算了三维球头算例,得到如下结论:ROE和MAPS格式精度高于LDFSS,HLLC和CUSP类格式;基于ROE平均的界面音速可提高格式的鲁棒性及斜激波捕捉能力,同时对流场参量的计算无影响;ROE平均音速的引用改进了MAPS和ECUSP格式.为热化学非平衡流场计算格式的选择提供了参考.

Six high accuracy schemes （ROE, MAPS, LDFSS, HLLC, HCUSP and ECUSP） were successfully extended from ideal gas model to thermal and chemical non-equilibrium gas model. All the schemes were analyzed in detail. Some of them were improved by ROE averaging numerical speed. Five species seventeen reactions Dunn-Kang chemical reaction model and Park＇s two-temperature kinetic model were used to compute three-dimensional sphere test. The results show that in thermal and chemical non-equilibrium flow, the ROE and MAPS schemes have higher accuracy than LDFSS, HLLC and CUSP type schemes. The numerical speed given by ROE averaging can obviously strengthen the robustness of scheme, and improve oblique shock capturing capability, while the physical variables in flow field will be not influenced. The MAPS and ECUSP schemes are improved successfully by using the numerical speed given by ROE averaging. The reference to choose schemes has been provided.