受限槽道中三维底部障碍物产生的上游内波的二维化(英文)  

Two Dimensionalization of Upstream Advancing Internal Waves Generatedby a Three Dimensional Bottom Obstacle in Bounded Channel

作　　者：卢志明[1] Roger H J Grimshaw 

机构地区：[1]上海大学,上海市应用数学和力学研究所 [2]Department of Mathematical Sciences, Loughborough University, Loughborough,LE11 3TU,UK

出　　处：《力学季刊》2005年第3期393-400,共8页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金项目(10272071,10442003);上海市重点学科资助项目(Y0103)

摘　　要：本文采用模型方程:强迫的Kadomtsev-Petviashvili(fKP)方程数值研究了受限槽道中三维底部障碍物产生的上游内波的二维化问题。详细比较了fKP方程与相应的二维问题(强迫的KdV方程)的结果,表明起始阶段呈抛物形的上游内波,由于Mach反射逐渐变成沿y方向均匀的二维孤立波,即上游内波必然出现二维化,三维问题转化为二维问题,此时控制方程退化为强迫的KdV方程。另外,粗略研究了障碍物的长宽比以及与槽道宽度的比值对上游内波二维化的影响。Two dimensionalization of upstream advancing internal waves generated by a three di- mensional bottom obstacle in a bounded channel was studied based on a forced Kadomtsev-Petviashvili（fKP） equation. The comparisons between the results of fKP and those of the corresponding two dimensional problem, which is described by a forced Korteweg-de-Vries（KdV） equation, show that, due to Mach reflection, two dimensionalization shall always develop eventually and the upstream advancing generated by a three dimensional bottom obstacle in a bounded channel waves can be described by corresponding two dimensional problem. Furthermore, the effects of aspect ratio of obstacle on the generation and evolution of upstream advancing are also investigated.

关 键 词：内孤立波 二维化 强迫的KP方程 底部障碍物 

分 类 号：O352[理学—流体力学]