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

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.