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斜底面上的表面波理论
引用本文:李国麟,黄伟健,杨纲凯,曾庆存,张铭. 斜底面上的表面波理论[J]. 大气科学, 1997, 21(6): 649-658. DOI: 10.3878/j.issn.1006-9895.1997.06.02
作者姓名:李国麟  黄伟健  杨纲凯  曾庆存  张铭
作者单位:1.香港中文大学物理系
基金项目:香港中文大学和香港Groucher基金会资助项目
摘    要:考察了任意倾斜底面上的Kelvin波问题,并用线性化的控制方程分别研究了相应于垂直刚壁的和无限倾斜底面上的表面波频散关系。文中还对任意斜坡上的浅水表面波做了尺度分析,并把决定其频散关系的特征值问题简化为该斜坡上气压扰动的常微分方程,且用数值方法进行了求解。

关 键 词:斜底面   表面波   理论

Theory of Surface Waves against an Incline
Lee Kwok-lun,Wong Wai-kin,Young Kenneth,Zeng Qingcun and Zhang Ming. Theory of Surface Waves against an Incline[J]. Chinese Journal of Atmospheric Sciences, 1997, 21(6): 649-658. DOI: 10.3878/j.issn.1006-9895.1997.06.02
Authors:Lee Kwok-lun  Wong Wai-kin  Young Kenneth  Zeng Qingcun  Zhang Ming
Abstract:The properties of Kelvin waves against an arbitrary incline are examined. Based on the linearized governing equations, this paper studies the dispersion relation of different surface waves against a vertical barrier and against an infinite incline. For a shallow incline of arbitrary shape, a scale analysis is performed and the eigenvalue condition determining the dispersion relation to an ordinary differential equation for the pressure disturbance normal to the incline is deduced. The solutions are obtained by numerical calculations.
Keywords:incline surface waves theory
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