Water waves over a strongly undulating bottom.
Water waves over a strongly undulating bottom.
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DOI：
10.1103/physreve.70.066302
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发表时间：
2004-06
期刊：
影响因子：
--
通讯作者：
V. Ruban
中科院分区：
文献类型：
--
作者：
V. Ruban
利用保角变换研究了理想流体在强非均匀底面上的二维自由面势流。对于解析函数参数化的任意海床形状，用变分方法导出了弱非线性和精确的非线性运动方程。作为该理论的应用，计算了周期底上线性波的能带结构，数值模拟了从深部到浅部的强孤立波的演化。
Two-dimensional free-surface potential flows of an ideal fluid over a strongly inhomogeneous bottom are investigated with the help of conformal mappings. Weakly nonlinear and exact nonlinear equations of motion are derived by the variational method for an arbitrary seabed shape parametrized by an analytical function. As applications of this theory, the band structure of linear waves over periodic bottoms is calculated and the evolution of strong solitary waves running from a deep region to a shallow region is numerically simulated.