数值波浪水槽构建与二阶Stokes波仿真

Building of Numerical Wave Tank and 2nd Stokes Wave Simulation

近年来,数值波浪水槽在海洋工程研究中发挥着越来越为重要的作用,成为了水波动力学研究的焦点之一。为此,基于Navier-Stokes(N-S)方程组,首先完成了二维数值波浪水槽的构建。对于N-S方程,采用FVM(Finite Volume Method)法进行离散求解;在入口边界处,模拟活塞推板运动产生了入射波;同时,利用VOF(Volume of Fluid)法对波浪自由面进行了捕捉;在数值波浪水槽尾部,通过设置人工阻尼区实现了消波。利用该二维数值波浪水槽,对典型非线性二阶Stokes波进行了仿真模拟,通过设置虚拟波高监测仪,获取了非线性二阶Stokes波发生、发展和消亡的全过程。对比校验表明,所有仿真结果均与理论精确解相吻合。

In recent years, the numerical wave tanks are widely applied in the study of ocean engineering problems, and become the focus of water wave mechanics research. Based on Navier-Stokes （N-S） equations, a 2D numerical wave tank was built. The N-S governing equations were discretized by Finite Volume Method （FVM）, the incident wave was generated from the boundary by simulating piston wave-maker motions, Volume of Fluid （VOF） method was used to catch the nonlinear free surface, and the outgoing waves were dissipated in an artificial damping zone at the rear part of the wave tank. Then, typical nonlinear 2nd Stokes wave was simulated in this 2D numerical wave tank, and its arising, developing and dissipating were committed to memory of virtual wave height monitors. Comparison and validation show that, all the simulation results match theoretical results well.