赤道海洋波致Lagrange余流的弱非线性动力学模型及其解

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，零阶赤道以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。波致环流的产生紧缩联系于Ｌａｇｒａｎｇｅ轨迹运动与波流的非线性耦合效应，所导出的最低阶赤道波致Ｌａｇｒａｎｇｅ余 一般解具有与零阶波动不同的垂直与

A WEAKLY NON-LINEAR MODEL OF THE EQUATORIAL WAVE-INDUCED LAGRANGIAN RESIDUAL CURRENT AND ITS SOLUTIONS

To estabish a dynamic theory of wave-induced residual cireulation and the associated long term material transport in the tropcal ocean on the basis of the Lagrmgian average concept in order to understand the contribution of the equatorial wave to distribution and variation of climarelogical cireulation and sea surface temperature in the tropical ocean, a set of equations of the wave-driven and wind-driven residual cireulation 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 contitinuously. stratified ocean. The model showed tha the non-linear couping of the first order equatorial wave generates secondary residual connt of not negligible impotae to the quasi-steady upper tropical cireulation. Generation of the wave,nduced cireulation is closely related to the non-linear couping between the Lagrangian locus and velocity. The general solution of the lowest Lagrangian equatorial wave-indued 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 foree.