In the study of the cross-flow vortex-induced vibration of the cylinder, it is found that with the increase in the Reynolds number, the upper branch of the vibration amplitude and the lock-in region show an increasing trend. Currently, there are relatively few studies on two-degree-of-freedom VIV at high Reynolds number. In this paper, the Launder and Sharma low Reynolds number k–ɛ turbulence model is modified by limiting the kinetic energy generation term and dissipation term, which is similar with the limiter used in SST k–ω model. Based on the modified turbulence model, the two-degree-of-freedom vortex-induced vibration of the cylinder with different Reynolds numbers is simulated with the two-dimensional RANS method. The accuracy of the improved turbulence model and its applicable Reynolds number range are verified by comparing with experiments and relevant numerical simulations. The effects of Reynolds number on the vibration characteristics of cylinder with low mass damping ratio are discussed, which provide a theoretical reference for the study of vortex-induced vibration under high Reynolds number.

中文翻译：

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低雷诺数k-ɛ湍流模型在亚临界雷诺数范围涡激振动中的修正与应用

在对圆柱体横流涡激振动的研究中发现，随着雷诺数的增加，振幅的上支和锁相区均呈现增大趋势。目前，关于高雷诺数下的二自由度 VIV 的研究相对较少。本文通过限制动能产生项和耗散项来修改Launder和Sharma低雷诺数k-ɛ湍流模型，这与SST k-ω模型中使用的限制器类似。基于改进的湍流模型，采用二维RANS方法模拟了不同雷诺数圆柱体的二自由度涡激振动。通过与实验和相关数值模拟的对比，验证了改进湍流模型的准确性及其适用的雷诺数范围。讨论了雷诺数对低质量阻尼比圆柱体振动特性的影响，为高雷诺数下涡激振动的研究提供了理论参考。