波浪水槽的数值建模与计算分析

近年来,随着海岸工程的发展,数值水槽在相应科学研究中的地位越发地突出,并且成为了流体动力学研究的热点之一。基于流体力学的基本方程Navier Stokes(N-S)方程,早期采用VOF(Finite of Method)以及FVM(Finite Volume Meth-od)方法对求解区域进行离散与计算。但是随着计算规模的不断增加,上述方法的数据存储量及计算方程数目呈现非线性增长,已经难以满足工程需求。近年发展起来的ALE算法与SPH算法已经趋于成熟并以其计算的快速与高精度迎合工程需求。以ALE算法为例模拟二维的数值水槽,并将计算记录结果与非线性二阶Stokes波对比。对比证明ALE算法与理论解相一致。

Numerical Modeling and Analysis of Wave Tank

Numerical wave tank becoming more and more prominent in each scientific research and becomes one of the focus in fluid dynamics with the development of coastal engineering, Recently. Based on the Navier-Stokes (N-S) equations, the early application is discretizing and calculating the solving region by VOF (Finite of Method) and FVM (Finite Volume Method) method. The number of equations for calculating and the data storage capacity appears non-linear growth with the increasing size of calculation. So it has difficult to meet the requirements for model engineering. ALE and SPH algorithm developed in these years being tended to be mature so that meet the requirements by fast and precision calculation. The simulation of their-dimensional numerical wave tank is built by ALE algorithm as the example and the results of calculation are compared with second-order non-linear Stokes wave. The comparison is proved that ALE algorithm is consistent with the theoretical solution.