A novel Omega (Ω) -driven dynamic partially-averaged Navier-Stokes (PANS) model is proposed in this paper. The ratio of the modeled-to-total turbulent kinetic energies f_k is dynamically adjusted by the rigid vorticity ratio (the ratio of the rigid vorticity to the total vorticity), the key parameter of the Ω vortex identification method. Three classical flow cases with rotation and curvature are used to test the model. The results show that the turbulent viscosity is effectively adjusted by the new dynamic f_k and the LES-like mode is activated, which can help the revelation of more turbulence information and improve the prediction accuracy. The new PANS model does not contain any explicit dependency on the grid size and enjoys good adaptability to the flow fields, and can be used for efficient engineering computations of the turbulent flows in the hydraulic machinery.

中文翻译：

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由Omega驱动的新型动态PANS模型

本文提出了一种新型的由欧米茄（Ω）驱动的动态局部平均Navier-Stokes（PANS）模型。湍流动能f _k与总湍动能之比f可以通过刚性涡度比（刚性涡度与总涡度之比）（Ω涡旋识别方法的关键参数）进行动态调整。三种具有旋转和曲率的经典流动情况用于测试模型。结果表明，新的动态f _k可以有效地调节湍流粘度。并激活了类似LES的模式，可以帮助揭示更多的湍流信息并提高预测精度。新的PANS模型不包含任何对网格大小的明确依赖，并且对流场具有良好的适应性，可用于对液压机械中的湍流进行有效的工程计算。