谭本馗. 1990. 层结切变流中的Rossby波的稳定度[J]. 气象学报, 48(4):486-490, doi:10.11676/qxxb1990.059 |
层结切变流中的Rossby波的稳定度 |
THE STABILITY OF ROSSBY WAVES IN A STRATIFIED SHEAR FLUID |
投稿时间:1987-12-14 修订日期:1989-03-30 |
DOI:10.11676/qxxb1990.059 |
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中文摘要: |
Rossby波的稳定度问题是大气动力学的中心问题之一,这方面的研究工作已有很多。早期,文献[1-4,9]采用标准波型法对此问题作了开创性的研究,得到了许多重要结论。如,有关不稳定的判据,稳定波和不稳定波的结构,以及它们对维持大气环流所起的作用等。 |
英文摘要: |
In this paper the stability of linear Rossby waves in a stratified shea:fluid is investigated by using the qualitative theory of ordinary differential equations.It is found that (Ⅰ)if the basic current has no shear at all,the Rossby waves are always stable;(2) if the basic current has horizontal shear only,the unstablecriterion for the waves is sK2+n2f0(f0-∂u/∂y)<0;(3)it the basic current has vertical shear only,the unstable criterion is n-∂u/∂y)>0;(4)if the basic current has both horizontal and vertical shears if sK2+n2f0(f0-∂u/∂y)<0,the waves are unstable;if sK2+n2f0(f0-∂u/∂y)>0,the unstable crtierion is f0(f0-∂u/∂y)n -∂u/∂y)>0 |
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