Abstract This paper studies RANS turbulence modelling for a linear compressor cascade corner separation flow, using large-eddy simulation results as reference. The Boussinesq and the quadratic constitutive relations are investigated with two versions of Wilcox’s k − ω turbulence model through a priori and a posteriori analyses. In the a priori analysis the quadratic constitutive relation shows improvement on the alignment between the rate-of-strain tensor and the Reynolds stress tensor for the inlet region, compared to the Boussinesq constitutive relation. But the improvement is less significant in the highly vortical region. Using the turbulent kinetic energy and the specific dissipation rate provides a fairly good estimate of the turbulent viscosity. The turbulent kinetic energy budget is also investigated. Large-eddy simulation results present non-equilibrium turbulence, i.e. the production and dissipation are not balanced, whereas the RANS models predicts equilibrium turbulence.

中文翻译：

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角分离流中的湍流建模分析

摘要 本文以大涡模拟结果为参考，研究了线性压缩机叶栅角分离流的RANS湍流建模。Boussinesq 和二次本构关系通过两个版本的 Wilcox 的 k − ω 湍流模型通过先验和后验分析进行研究。在先验分析中，与 Boussinesq 本构关系相比，二次本构关系显示了入口区域的应变率张量和雷诺应力张量之间对齐的改进。但在高涡度区域，改善不那么显着。使用湍流动能和特定耗散率可以很好地估计湍流粘度。还研究了湍流动能收支。