孤立波与潜水台阶相互作用的数值研究

本文用完整二维Navier-Stokes方程和VOF方法研究孤立波与潜水台阶障碍物相互作用问题.本文的计算结果与Seabra-Santos,Penouard and Temperville(1987)的实验结果有较好的一致性,与Germain(1984)基于势流浅水理论的结果较为接近,同时能更好模拟出前传演化波的衰减.只要给出初始孤立波波幅,静水深和潜水台阶障碍物的高度,利用本文方法就能模拟出演化波、分裂波和反射波的波形,并给出每一时刻的自由面形状、流场、涡量和压力的分布.

Numerical Study of the Interaction between a Solitary Wave and a Submerged Step Obstacle

The full 2-D Navier-Stokes equations and VOF technique are introduced to describe the phenom-ena of a barotropic solitary wave passing over a submerged step obstacle. The numerical results are shown to be in good agreement with experimental results by Seabra-Santos, Penouard and Temperville (1987), and with those from an analytical model derived in the framework of a potential shallow water theory by Genmain(1984). Given the initial conditions, i. e. amplitude of the incident solitary wave, water depth in the deep region, and height of the step obstacle. it is possible to predict the amplitude and decay of the transmitted and fission Waves as well as the amplitude of the reflected wave, and to present the shape of the free surface, velocity field, vortex field and pressure distribution at any time.