孤立波与多个潜水障碍物相互作用的数值研究

本文以完整二维Navier-Stokes方程为控制方程，采用VOF界面跟踪技术和差分方法，数值计算孤立波与多个淹没水下物体相互作用的问题。本文对潜水物体的高度接近水深时，孤立波通过水下孤立直立方柱、两个间距较大的水下直立方柱和两个间距较小的水下直立方柱等三种情况分别进行了计算，给出了波形随时间的演化图，可以看到反射波、前传波和跟随振荡型小波列的生成。对孤立波通过水下孤立直立方柱情形的计算结果，与实验结果和势流理论结果进行了比较。

Numerical Study of Interactions between Solitary Wave and Submerged Multi-obstacles

In this paper, the finite difference numerical solutions for fully nonlinear two-dimensional Navier-Stokes equations with VOF technique form the basis of the study of the interactions between a solitary wave and submerged multi-obstacles. Three cases of a solitary wave passing over an isolated quadrate cylinder, two quadrate cylinders with interval gap of 2m and 5m were calculated respectively. The propagation process of the transformation waves, reflection waves and the generation of tiny wave trains during the process were presented. Good agreement was shown by comparing the present numerical results of a solitary wave over an isolated quadreate cylinder with the experimental results of Seabra-Santos, Penouard and Temperville.