中文摘要：

该文以雷诺时均的Navier-Stokes方程为控制方程，用k-ε模型来封闭湍流模型，采用VOF方法来跟踪波动自由表面，建立了三维数学模型。然后对波浪与小尺度孤立柱的相互作用过程进行了数值模拟，得到了时变的波浪力，然后用实验资料进行了验证，并且和Morison方程的计算结果进行了比对。然后利用验证过的模型模拟了三维波浪场中两个不同间距的纵向排列的小尺度桩柱上所受的波浪力，得到了两个桩柱的干扰系数和间距的关系。计算方法和计算结果对此类结构物的设计施工有一定的参考价值。

英文摘要：

In this paper, three-dimenslon numerical models are developed based on 3-D unsteady Reynolds Equation. The standard k-ε equation is used to close the Reynolds equations. VOF method is used to reconstruct the free surface. Then the models are used to simulate the wave forces on single small-diameter cylinder, then verified by experimental data and compared with the results gained by Morlson equation. Finally the models are used to simulate the process of periodic wave running through two longitudinally collocated cylinders of small diameters, and the relation between interference coefficient on each cylinder and cylinder distance is obtained. The methods and results are useful in designing and constructing this kind of structures.