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赤道海洋波致Lagrange余流的弱非线性动力学模型及其解
王凡1, 吴德星2, 冯士筰2, 侍茂崇2
1.中国科学院海洋研究所 青岛266071;2.青岛海洋大学海洋环境学院 青岛266003
摘要:
基于一个连续层化赤道海洋波动的弱非线性动力学系统,推导并建立了由最低阶Lagrange余流体现的包含波致、风生等效应在内的热带海洋余环流基本方程组。经分析发现,零阶赤道波动自身的非线性耦合可产生一阶余流,其量级对于热带上层海洋准定常环流而言是不可忽略的。波致环流的产生紧密联系于Lagrange轨迹运动与波流场的非线性耦合效应。所导出的最低阶赤道波致Lagrange余流的一般解具有与零阶波动不同的垂直与经向结构。从而表明,在赤道波运动占优势的连续层化海洋中,环流的产生机制,除了惯常认为的海面风应力和热盐强迫力外,波周期运动也可产生定常环流。
关键词:  赤道海洋波动  弱非线性动力学模型  波致Lagrange余流  非线性耦合  海洋环流
DOI:
分类号:
基金项目:国家自然科学基金资助项目,49576276号
A WEAKLY NON-LINEAR MODEL OF THE EQUATORIAL WAVE-INDUCED LAGRANGIAN RESIDUAL CURRENT AND ITS SOLUTIONS
WANG Fan1, WU De-xing2, FENG Shi-zuo2, SHI Mao-chong2
1.Institute of Ocaenology, The Chinese Academp of Scieiences, Qingdao, 266071;2.Marine Enviromental College, Ocean University of Qingdao, Qingdao, 266003
Abstract:
To establish a dynamic theory of wave-induced residual circulation and the associated long term material transport in the tropical ocean on the basis of the Lagrangian average concept in order to understand the contribution of the equatorial wave to distribution and variation of climatological circulation and sea surface temperature in the tropical ocean, a set of equations of the wave-driven and wind-driven residual circulation of the tropical ocean satisfied by the lowest order Lagrangian residual current were set up, based on a weakly non-linear dynamic system of the equatorial wave in the continuously stratified ocean. The model showed that the non-linear coupling of the first order equatorial wave generates secondary residual current of not negligible importance to the quasi-steady upper tropical circulation. Generation of the wave-induced circulation is closely related to the non-linear coupling between the Lagrangian locus and velocity. The general solution of the lowest Lagrangian equatorial wave-induced residual current with different vertical and meridional structures from those of the wave was derived. The results above revealed that, in the continuously stratified ocean with dominant equatorial waves, the steady circulation could be driven by the periodic movement of wave as well as the wind stress and the thermohaline force.
Key words:  Equatorial oceanic waves, Weakly non-linear model, Lagrangian wave-induced residual current, Non-linear coupling, Ocean circulation
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