Plotnikov–Toland板模型中水弹性孤立波的迎撞

被引：3

作者：

巴迪MM ^{[1
]}

卢东强 ^{[2
]}

机构：

[1] 上海大学上海市应用数学和力学研究所

[2] 上海市能源工程力学重点实验室

来源：

力学学报 | 2018年 / 50卷 / 06期

关键词：

迎面碰撞; 水弹性孤立波; 冰层; PLK方法;

D O I：

暂无

中图分类号：

O353.2 [波浪理论];

学科分类号：

080103 ; 080704 ;

摘要：

通过奇异摄动方法研究了在薄冰层覆盖的不可压缩理想流体表面上传播的两个水弹性孤立波之间的迎面碰撞.借助特殊的Cosserat超弹性壳理论以及Kirchhoff–Love板理论,冰层由Plotnikov–Toland板模型描述.流体运动采用浅水假设和Boussinesq近似.应用Poincar′e–Lighthill–Kuo方法进行坐标变形,进而渐近求解控制方程及边界条件,给出了三阶解的显式表达.可以观察到碰撞后的孤立波不会改变它们的形状和振幅.波浪轮廓在碰撞之前是对称的,而在碰撞之后变成不对称的并且在波传播方向上向后倾斜.弹性板和流体表面张力减小了波幅.图示比较了本文与已有结果可知线性板模型可作为本文的一个特例.

引用

页码：1406 / 1417

页数：12

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