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Analytic solution of long wave propagation over a submerged hump

机译：水下驼峰上长波传播的解析解

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摘要

A new analytical solution of the long wave refraction by a submerged circular hump is presented. The geometry of the hump is assumed to be axisymmetric and be described by a power function in the radial direction with arbitrary values of both the exponent and the scaling factor. The submergence of the hump is also variable. The water surface elevation governed by the long wave version of the mild slope wave equation is solved by separation of variables, and a series solution of the Frobenius type is obtained. The solution is shown to be valid when the hump is sufficiently submerged or is of a relatively small height. Matching method is employed to illustrate the refraction of long waves under given conditions of incidence. Effects of the shape, the scale, and the submergence of the hump on wave refraction are discussed.
机译：提出了一种基于圆形驼峰的长波折射的新解析方法。假设驼峰的几何形状是轴对称的，并由幂函数在径向方向上描述，并且指数和比例因子都为任意值。驼峰的浸入也是可变的。通过变量分离求解由缓坡波方程的长波形式控制的水面高程，并获得Frobenius型的级数解。当驼峰被充分淹没或高度相对较小时，该解决方案被证明是有效的。采用匹配法来说明在给定入射条件下长波的折射。讨论了驼峰的形状，大小和浸入对波折射的影响。

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  • 来源
    《Coastal engineering》 |2011年第2期|p.143-150|共8页
  • 作者

    Xiaojing Niu; Xiping Yu;

  • 作者单位

    State Key laboratory of Hydroscience and Engineering, Department of Hydraulic Engineering Tsinghua University, Beijing, China;

    State Key laboratory of Hydroscience and Engineering, Department of Hydraulic Engineering Tsinghua University, Beijing, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    refraction; long wave; submerged hump; analytical solution; frobenius method;

    机译：折射长波淹没峰解析解Frobenius法;

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