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本文在低雷诺数k-ε两方程框架下,应用八个常见的非线性湍流模式,对两个激波/边界层相互作用诱导分离的超声速流动进行了研究。采用的非线性模式有:二阶模式(Wilcox&Rubesin(1980),Shih,Zhu&Lumley(1993),Shih,Zhu&Lumley(1995),Gatski&Speziale(1993))和三阶模式(Craft,Launder&Suga(1996),Lien&Leschziner(1996),Apsley&Leschziner(1998),Shih(1997))。两个超声速流动为:20°可压缩拐角绕流和轴对称尖顶拱-柱-裙组合体绕流。计算结果表明,对于激波边界层相互作用,在不做任何可压缩性修正的情况下,非线性模式并没有给出明显优于线性模式的结果。
In this paper, under the framework of low Reynolds number k-ε two equations, eight common nonlinear turbulence models are applied to study the supersonic flow induced by the interaction of two shocks / boundary layers. The nonlinear modes used are: second order mode (Wilcox & Rubesin (1980), Shih, Zhu & Lumley (1993), Shih, Zhu & Lumley (1995), Gatski & Speziale (1993)) and third order mode (Craft, Launder & Suga ), Apsley & Leschziner (1998), Shih (1997)). The two supersonic flows are: a 20 ° compressible corner around the flow and an axisymmetric spire-column-skirt combination around the flow. The results show that for the shock boundary layer interaction, the non-linear model does not give any obviously better results than the linear model without any compressibility correction.