海洋工程水池模型试验中的雷诺数约比实际尺度平台的雷诺数低两个数量级，因此，雷诺数（即尺度效应）是影响海洋工程水池模型试验精度的一个重要因素。文章采用数值模拟的方法研究了雷诺数对垂荡阻尼板水动力特性的影响。研究中，采用一块沿着自身轴线做强迫余弦振荡运动的薄圆盘代表垂荡板。数值模拟中采用了基于Smagorinsky亚格子模型的大涡模拟方法。研究表明，在同一个KC数下，雷诺数对垂荡板的附加质量和阻尼系数的影响并不显著，尽管在低雷诺数和高雷诺数下垂荡阻尼板周围的流场形态迥异。湍流脉动对垂荡阻尼板水动力特性的影响被平板表面平均化了。在不关心流场形态时，可基于轴对称假设对圆形垂荡阻尼板的水动力系数进行求解。研究为带有垂荡板的平台的水池模型试验和数值模拟研究均提供了有益的参考。%Scale effect (Reynolds number effect) is one of the most important issues regarding the accuracy of the hydrodynamic model tests carried out in wave basin, as the Reynolds number in mod-el test is normally two orders lower in magnitude than that in the prototype. This paper presents a nu-merical investigation on the effects of Reynolds number on the hydrodynamic characteristics of a heave damping plate. A thin circular disk is selected to represent the heave damping plate and is forced to oscillate along its axis sinusoidally. The numerical simulations were performed using the large-eddy simulation method with the Smagorinsky subgrid model. For a given KC number, the ef-fect of Reynolds number on the added mass and damping coefficients of the disk is in fact not sig-nificant, even though a large discrepancy is observed between the flow features around the disk at low and high Reynolds numbers. The effect of turbulent fluctuations on the hydrodynamic forces on the disk appears to be averaged over the disk surface, so the hydrodynamic force coefficients of the circular disk at high Reynolds numbers could be calculated based on the axisymmetric flow assump-tion. The fundamental conclusions addressed in this paper are of great importance in both wave basin model tests and numerical simulations for heave damping plates.
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