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外强迫作用下正压大气非线性特征数值模拟
引用本文:汪萍,戴新刚.外强迫作用下正压大气非线性特征数值模拟[J].物理学报,2005,54(10):4961-4970.
作者姓名:汪萍  戴新刚
作者单位:(1)中国科学院大气物理研究所,北京 100029; (2)中国科学院大气物理研究所,北京 100029;中国科学院研究生院,北京 100039
基金项目:中国博士后基金(批准号:2004035074)和王宽诚博士后工作奖励基金资助的课题.
摘    要:在两种边界条件下用正压大气非线性位势涡度方程模拟了强迫、耗散和非线性共同作用下大气运动的若干特征.在南北两端为齐次边界条件时,单纯的热力强迫下只出现了波状定常解;在只有经向加热和波状地形共同强迫下出现了在两种基本流型之间振荡的准周期解,十分类似于旋转地球上大气运动的纬向和经向流型之间的准周期循环,前者对应于强的西风环流,后者对应于弱西风流型.在周期边界条件下,弱的下垫面加热导致定常解,较强的加热强迫可以得到周期解.尽管下垫面的波状地形也能强迫一个类似的准周期振荡,但弱西风流型是对称的,不像大气中的弱西风流型.因此,在周期边界条件下用低阶截谱模式求出的解析或数值解,不一定适合描述中高纬度大气的非线性动力特征. 关键词: 正压大气 热力强迫 地形起伏 周期解 准周期振荡

关 键 词:正压大气  热力强迫  地形起伏  周期解  准周期振荡
文章编号:1000-3290/2005/54(10)/4961-10
收稿时间:1/7/2005 12:00:00 AM
修稿时间:2005-01-07

Numerical modeling of non-linear characteristics for barotropic atmosphere with external forcing
Wang Ping,Dai Xin-Gang.Numerical modeling of non-linear characteristics for barotropic atmosphere with external forcing[J].Acta Physica Sinica,2005,54(10):4961-4970.
Authors:Wang Ping  Dai Xin-Gang
Institution:1. Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China ;2.Graduate School of the Chinese Academy of Sciences, Beijing 100039, China
Abstract:Some characteristics of barotropic atmosphere are illustrated by numerical modeling, basing on a potential vorticity equation with forcing, dissipation, and non -linear interaction. For the barotropic potential vorticity equation (named the barotropic model) on a β-plane channel its solution is a stationary, wave-like pattern under a certain thermal forcing, while a quasi-periodic oscillation betw een two essential flow patterns appears if north-south thermal heating and wave- like topography are added as the model forcing. The oscillation has a period abo ut 15d, very similar to atmospheric index cycle in middle and high latitudes. Th e low-index pattern corresponds to a blocking flow, whereas the high index one i s an intensive westerly flow. More oscillation solutions are expected when the e quation is under periodic boundary condition with a strong thermal forcing, and a similar quasi-periodic solution can be obtained, which also results from a wav e topography forcing. However, its low index pattern is symmetrical, and differe nt from the blocking pattern produced by the β-plane model. When the heating fo rcing becomes weak, there also exists a stationary solution. Therefore, the char acteristics of atmospheric index cycle may not be soundly manifested by an analy tical solution or numerical solution under periodic boundary condition using low -order spectrum method that approximates the barotropic model in the β-plane ch annel.
Keywords:barotropic atmosphere  thermal forcing  topography  oscillated solution    quasi-periodic oscillation
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