球锥俯仰阻尼导数的数值计算

本文从非定常Ｅｕｌｅｒ方程出发，应用谐振摄动法计算了球锥体超声速、高超声速下的俯仰阻尼导数和。Ｅｕｌｅｒ方程的求解利用ＳＣＭ方法和ＭａｃＣｏｒｍａｃｋ的两步算法。文中用任意攻角下不同俯仰轴的气动导数转换公式来简化计算，用较粗网格可以得到较精确的结果，程序编制相对简单。一次计算可以得到定常绕流解及一系列钝头率、不同俯仰轴下的多种动导数结果，在ＥＬＸＳＩ６４００机上约需２０～４０分钟。所得结果与试验结果符合程度令人满意。

Calculation of Damping-in-Pitch Derivatives of Sphere-Cone Bodies

Damping-in-pitch derivatives of sphere-cone bodies at super-and hyper-sonic speeds at angle of attack are determined with the assumption of harmonic perturbation. The unsteady Euler equations aresolved by means of SCM method and MacCormack's two-step algorithm.The numerical results have good consistence with the existing experimentaldata,and the method is valid in wide range of attack angles,reducedfrequencies,and the ratio of bluntness.In addition,a set of transfer rela-tions of the stability derivatives between pitching axes in the case ofattack angle are developed.