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从准地转正压涡度方程出发，在ｋ１＋ｋ２＋ｋ３＝△ｋ、ｌ１＋ｌ２＋ｌ３＝０和ω１＋ω２＋ω３＝０的准共振条件下，分析了准共振三波能量和位涡拟能的传输。当△ｋ很小时，准共振三波组的总能量和总拟能近似守恒；三波之间能量和拟能的传输方向与共振情况基本相同，但中波向长波传输较多能量、向短波传输较多拟能和三波之间产生能量与拟能传输这三者的可能非线性准共振的面积与共振时相比均有较大的变化，而三者的面积比也有较明 相似文献
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Conservation laws of wave action and potential enstrophy for rossby waves in a stratified atmosphere
David M. Straus 《Pure and Applied Geophysics》1983,121(5-6):917-946
The purpose of this article is to discuss the evolution of wave energy, enstrophy and action for atmospheric Rossby waves
in a variable mean flow. The presentation is theoretical, but does not represent original research; rather, it is pedagogic
in nature. The work of a number of people has been drawn together into a unified account, with much of the algebra implicit
in previous work made explicit here. The central results are that wave energy is conserved only when there are no spatial
variations in the mean flow, and wave action is conserved even in the presence of such variations as long as they are not
in the longitudinal direction. Finally, wave enstrophy is conserved in the presence of arbitrary (slow) mean flow variations. 相似文献
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Mozheng Wei 《大气科学进展》1996,13(1):67-90
ＡＬｏｗ－ｏｒｄｅｒＭｏｄｅｌｏｆＴｗｏ－ｄｉｍｅｎｓｉｏｎａｌＦｌｕｉｄＤｙｎａｍｉｃｓｏｎｔｈｅＳｕｒｆａｃｅｏｆａＳｐｈｅｒｅＭｏｚｈｅｎｇＷｅｉ（ＣＲＣｆｏｒＳｏｕｔｈｅｒｎＨｅｍｉｓｐｈｅｒｅＭｅｔｅｏｒｏｌｏｇｙ，ＣＳＩＲＯＤｉｖｉｓｉｏ... 相似文献
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本文建立了一个简单的海—气相互作用振子模式,并利用拟能函数和Melnikov函数,讨论了海—气系统的振荡、分岔和非周期性态.分析的结果表明该气候系统存在一个唯一的分岔点和一个唯一的极限环,其演化行为是确定性行为和类随机性行为并存. 相似文献
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In this note, equations for enstrophy and enstrophy advection are derived in terms of well-known quantities, assuming horizontal frictionless flow on a beta-plane. Specifically, enstrophy can be written in terms of the geopotential (or pressure), relative vorticity, zonal wind, and resultant deformation. Enstrophy advection is shown to be related to the time evolution of deformation and ageostrophic relative vorticity. Based on previous research, these terms may contribute to instability associated with atmospheric blocking development and decay. 相似文献
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Eight-year daily mean output of a quasi-global eddy-resolving model is examined with a focus on the large-scale dynamical characteristics of the North Atlantic Ocean in a framework of potential vorticity (PV) and its derivatives. The model has reproduced some of the observed features of the mean potential vorticity field well. The three-dimensional structure of the mean potential vorticity supports baroclinic instability in most of the basin. Eddies are found to play important roles in the formation and maintenance of the mean potential vorticity fields. The contribution of relative vorticity to the mean potential vorticity field is found to be negligible for the most part. However, relative vorticity contribution to the source/sink of potential vorticity and eddy potential enstrophy is not negligible. We also find that eddies are not necessarily diffusive even on a basin-scale. 相似文献
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Wei Mozheng 《大气科学进展》1997,14(3):355-368
We develop the finite-mode model for a two-dimensional Euler system on the sphere based on Hopped’s discovery in group theory. This model strives to keep as many invariants of the original Euler equation as possible. Theoretically, the number of invariants in this model is limited only by computing power. At present, almost all the popular numerical models in weather and climate researches such as numerical weather prediction models and general circulation models (GCMs) use spectral method. However all these spectrally truncated models do not keep all the invariants except for the energy and the enstrophy. By using this model one is able to study the influence from some other lost invariants. The result from this model is expected to be closer to that of the original Euler equations than from ordinary spectrally truncated models. The relevant fundamental equations and important formulas for this model are given explicitly. 相似文献
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