Two-Equation k-s Turbulence Model: Application to a Supersonic Base Flow
Two-Equation k-s Turbulence Model: Application to a Supersonic Base Flow
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DOI：
10.2514/2.1350
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发表时间：
2001
期刊：
影响因子：
2.5
通讯作者：
R. Benay;P. Servel
中科院分区：
文献类型：
--
作者：
R. Benay;P. Servel
由于射弹、导弹或发射器的尾部在其战斗力中起着决定性的作用，因此，基地流是理论研究的一个重要课题。目前的理论方法还不能很好地解决精确预测它们所处的气动载荷的问题。然而，这样的气流对于改进湍流模型是非常有用的试验情况，因为它们几乎包含了在强粘性相互作用下超音速湍流气流中可能遇到的所有基本问题。轴对称圆锥曲线由于其严格的二维性，对于进行模型的大量参数化研究是值得赞赏的。在这个框架内，理论研究的k-！模型，并利用其相对于k-”模型的主要区别特征，建立了第二变量具有简单物理解释的k-ae模型。通过与来自Herrin和达顿的实验的有据可查且被广泛接受的数据库（Herrin，J.L.，和达顿，J.C.，“圆柱形后体近尾流中的超音速底流实验”，AIAA论文93-2924，1993年7月）。特别地，详细地给出了模型所预测的波动量在分离流中的演化。结果表明，在雷诺平均Navier-Stokes方程计算的框架下，用双方程湍流模型模拟分离流仍然是很有前途的。
Base e ows are an important subject of theoretical studies due to the determinant role of the rear part of projectiles, missiles, or launchers in their e ight capabilities. The problem of accurately predicting the aerothermal e elds in which they are embedded is still not satisfactorily solved by current theoretical methods. However, such e ows are very useful test cases for improving turbulence modeling because they incorporate nearly all of the fundamental problems that can be encountered in supersonic turbulent e ows submitted to strong viscous interactions. Axisymmetriccone gurationsareappreciableforperforming numerousparametricalstudiesofmodelsdueto their rigorous two dimensionality. In this framework, a theoretical examination of the k‐! model is performed, and its principal distinguishing characteristics with respect to k‐" models are used to establish a k‐ae model whosesecond variable has a simple physical interpretation. A closeexamination of the predictivecapabilities of thesethree types of models is done in comparison with the well documented and largely accepted database from the experiments of Herrin and Dutton (Herrin, J. L., and Dutton, J. C., “ Supersonic Base Flow Experiments in the Near Wake of a Cylindrical Afterbody,” AIAA Paper 93-2924, July 1993 ). In particular, the evolution of the e uctuating quantities predicted by the models in separated e ow are given in detail. The results obtained prove that the simulation of separated e ows with two-equation turbulence models is still promising in the framework of Reynolds averaged Navier‐Stokes calculations.