本文从一般曲线坐标系下的雷诺应力模式出发，在雷诺应力模式向代数应力模式简化过程中，保留曲率项对雷诺应力输运的影响，得到了曲率修正的代数应力模式和非线性k-ε模式。并用该模式对一典型曲率流动——U型管道内的湍流流动进行了数值模拟与分析。计算结果显示，曲率修正的代数应力模式较好地模拟出了凸曲率对雷诺剪切应力的阻滞作用和凹曲率对剪切应力的增强作用，捕捉到了曲率流动的主要特征，是对雷诺应力模式的一个合理而有效的简化。%In this paper, by modifying the Rodi assumption to take account of the influence of flow curvature, a new curvature modified algebraic stress model and curvature modified nonlinear k-ε model (CMNKE) is developed from the Reynolds stress model(RSM) in the general curvilinear coordinate. Moreover, this new model is validated by numerical simulation of a two-dimensional U-type turnaround duct flow. The results show that the CMNKE can effectively capture the main characteristic of this curvature flow and simulate the damping effect of the shear stress by convex curvature and the enhancing effect by concave curvature. So, this model is a rational and effective simplification to the RSM.
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