超声速钝锥三维分离条件的数值分析

Numerical analyses on the condition of the three-dimensional separation of the supersonic blunt cone

采用有限体积方法求解Navier-Stokes方程,对系列迎角下超声速钝锥的三维层流分离开展数值模拟,目的是通过具体的流动问题来考察三维分离判则。计算首先得到了不同马赫数条件下(1.8和10.6)流动分离的详细特征。为了对三维分离条件开展数值分析,针对文献[7]中的分离、再附判则,构造矢量V/n-n(n·V/n)和n·2 V/n2,提出判则的等价数值考察方式。在此基础上,利用计算结果,对分离判则进行数值分析,开展计算与理论的比较分析并给出研究结论。

Numerical simulations have been made on the three-dimensional laminar separations of the supersonic blunt cone at series of attack angles by solving the Navier-Stokes equations and using finite volume method. The purpose is to investigate the three-dimensional separation criteria through specific flow problem. In the first step, the detailed characteristics of the flow separation at different Mach numbers （1.8 and 10.6） are obtained. In order to make numerical analyses on the conditions of the three-dimensional separation, two vectors are constructed as эV/эn-n（n .эV/эn） and n .э^2V/эn^2 , which are used as the equivalent numerical expressions of the corresponding criteria of the separation and reattachment in reference [7] for investigations. Based on the outcomes and the numerical results obtained, numerical analyses are conducted on the separation criteria, and comparisons are made with the theoretical outcomes. The agreement has been obtained between the computation and theoretical analysis.