高阶孤立波的速度场特征  

Velocity Field of High Order Solitary Wave

作　　者：胡子俊[1,2] 吴卫[1] 刘桦[1] 

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200240 [2]中国船舶科学研究中心,无锡214082

出　　处：《力学季刊》2012年第4期521-525,共5页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金项目(10972138);上海市重点学科建设项目(B206)

摘　　要：采用完全非线性高度色散水波理论,运用约化摄动展开法并运用符号运算工具,得到孤立波十七阶渐近解。基于高阶孤立波解,分析比较了孤立波自由表面水平流速、水深平均水平流速、底部水平流速之间的差异,并且与现有的完全非线性数值解进行了比较。当波幅较大时,孤立波的三阶孤立波解与本文的高阶解比较接近。在波峰附近,自由液面的水平流速大于水深平均流速,而在离波峰较远处自由液面的水平流速小于水深平均流速。An exact fully nonlinear and fully dispersive （FNFD） model was used to study high order solita-ry wave. Using the reductive perturbation method, the leading 17th-order solitary wave solutions were obtained. Using these solutions, the difference among the horizontal velocity on the free surface, the depth-averaged velocity and the velocity on the bottom were discussed and compared with the numerical results. It turns out that the horizontal velocities, evaluated at the free surface and the, bottom, are of sig-nificant difference with the depth-averaged value.

关 键 词：FNFD模型 约化摄动法 孤立波 

分 类 号：O353.2[理学—流体力学]