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半封闭海区潮波运动问题的构建
引用本文:张庆华,马艳,曲媛媛.半封闭海区潮波运动问题的构建[J].海洋科学进展,2006,24(4):416-423.
作者姓名:张庆华  马艳  曲媛媛
作者单位:国家海洋局,第一海洋研究所,山东,青岛,266061;海洋环境科学与数值模拟国家海洋局重点实验室,山东,青岛,266061
基金项目:国家自然科学基金项目——半封闭海区开边界条件反演的解析方法(40576020)
摘    要:利用海底粘滞性条件,首先导出了海底摩擦与海面坡度之间的简单关系式,在此基础上导出了水平流通量与海面坡度的关系式。然后利用连续性方程进一步得到了海面升高即潮位所满足的二阶椭圆型方程,进而导出了以潮位形式给出的半封闭海区岸壁不可穿透条件。最终在给定半封闭海区开边界水位分布的条件下构建了完整的关于潮位分布函数的微分方程边值问题。初步讨论表明,海底摩擦矢量与水平流通量矢量并不在相反的方向上。

关 键 词:潮波  潮位  海底摩擦  水平流通量
文章编号:1671-6647(2006)04-0416-08
收稿时间:2006-06-28
修稿时间:2006年6月28日

Formulation of Tidal Wave Motion Problem in A Semi-closed Sea Area
ZHANG Qing-hua,MA Yan,QU Yuan-yuan.Formulation of Tidal Wave Motion Problem in A Semi-closed Sea Area[J].Advances in Marine Science,2006,24(4):416-423.
Authors:ZHANG Qing-hua  MA Yan  QU Yuan-yuan
Institution:1. First Institute of Oceanography, SOA, Qingdao 266061, China; 2.Key Laboratory of Marine Science and Numerical Modeling, SOA, Qingdao 266061, China
Abstract:In this paper,a simple relation between sea bottom friction and sea surface slope is firstly derived by using the viscosity condition on the sea bottom,and the relation between horizontal current flux and sea surface slope is then obtained.The equation of continuity is then used to further get a 2-order elliptical equation satisfied by sea surface elevation,and the unpenetrable condition at the shore wall of semi-closed sea area is also derived by means of tidal level.Finally,a complet boundary value problem of differential equations about tidal level distribution function is formulated under the conditions of given tidal level distributions at the open boundary of semi-closed sea area.It is shown from the preliminary discussions that the sea bottom friction vector is not opposite to the horizontal current flux vector.
Keywords:tide-wave  tidal level  sea bottom friction  horizontal current flux
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