高超声速化学非平衡欧拉方程数值模拟

Numerical Simulation of Hypersonic Chemical Non equilibriumFlows around Reentry Bodies Using Euler Equations

本文给出了求解高超声速化学非平衡无粘流场的数值模拟方法。计算中采用守恒变量型的ＮＮＤ差分格式和全流场捕捉技术；建立了（数学）奇性轴上的控制方程，克服了通常在其上插值方法所引起的扰动，改善了收敛性和计算精度；化学反应模型由五组元五反应组成；温度和压力的计算是非迭代的，有别于国内外惯用的迭代算法；此外，还发展了背风过低压区的处理方法，从而提高了欧拉方程的应用范围。

A numerical algorithm to simulate the hypersonic inviscid Flow fields of chemical non equilibrium is presented in this paper .The NND schemes in conservative variable type and shock capturing technology are used in the calculations. The governing equation of flow parameters at singular axle of body has been developed to overcome the numerical disturbance introduced by the interpolation of flow parameters at singular axle , and improves the convergence too . The five components and five reactions model is used in the computation .The non iterative calculation of temperature and pressure developed in this paper is different to the iterative calculation used ordinarily. Also ,the development of the algorithm of low pressure leeward flowfields extends the application of Euler equations and leads to obtain the angle of attack of non equilibrium inviscid flowfields up to 30 degree .