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DOI | 10.1175/JAS-D-19-0100.1 |
Instability of Surface Quasigeostrophic Spatially Periodic Flows | |
Kalashnik, M. V.1; Kurgansky, M. V.1; Kostrykin, S. V.1,2 | |
2020 | |
发表期刊 | JOURNAL OF THE ATMOSPHERIC SCIENCES
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ISSN | 0022-4928 |
EISSN | 1520-0469 |
出版年 | 2020 |
卷号 | 77期号:1页码:239-255 |
文章类型 | Article |
语种 | 英语 |
国家 | Russia |
英文摘要 | The surface quasigeostrophic (SQG) model is developed to describe the dynamics of flows with zero potential vorticity in the presence of one or two horizontal boundaries (Earth surface and tropopause). Within the framework of this model, the problems of linear and nonlinear stability of zonal spatially periodic flows are considered. To study the linear stability of flows with one boundary, two approaches are used. In the first approach, the solution is sought by decomposing into a trigonometric series, and the growth rate of the perturbations is found from the characteristic equation containing an infinite continued fraction. In the second approach, few-mode Galerkin approximations of the solution are constructed. It is shown that both approaches lead to the same dependence of the growth increment on the wavenumber of perturbations. The existence of instability with a preferred horizontal scale on the order of the wavelength of the main flow follows from this dependence. A similar result is obtained within the framework of the SQG model with two horizontal boundaries. The Galerkin method with three basis trigonometric functions is also used to study the nonlinear dynamics of perturbations, described by a system of three nonlinear differential equations similar to that describing the motion of a symmetric top in classical mechanics. An analysis of the solutions of this system shows that the exponential growth of disturbances at the linear stage is replaced by a stage of stable nonlinear oscillations (vacillations). The results of numerical integration of full nonlinear SQG equations confirm this analysis. |
英文关键词 | Atmospheric circulation Buoyancy Dynamics Potential vorticity Stability |
领域 | 地球科学 |
收录类别 | SCI-E |
WOS记录号 | WOS:000502851700005 |
WOS关键词 | AMPLITUDE VACILLATION ; KOLMOGOROV FLOW ; DYNAMICS ; VORTICES ; TURBULENCE ; MODELS ; WAVES ; JETS |
WOS类目 | Meteorology & Atmospheric Sciences |
WOS研究方向 | Meteorology & Atmospheric Sciences |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/280257 |
专题 | 地球科学 |
作者单位 | 1.Russian Acad Sci, AM Obukhov Inst Atmospher Phys, Moscow, Russia; 2.Russian Acad Sci, GI Marchuk Inst Numer Math, Moscow, Russia |
推荐引用方式 GB/T 7714 | Kalashnik, M. V.,Kurgansky, M. V.,Kostrykin, S. V.. Instability of Surface Quasigeostrophic Spatially Periodic Flows[J]. JOURNAL OF THE ATMOSPHERIC SCIENCES,2020,77(1):239-255. |
APA | Kalashnik, M. V.,Kurgansky, M. V.,&Kostrykin, S. V..(2020).Instability of Surface Quasigeostrophic Spatially Periodic Flows.JOURNAL OF THE ATMOSPHERIC SCIENCES,77(1),239-255. |
MLA | Kalashnik, M. V.,et al."Instability of Surface Quasigeostrophic Spatially Periodic Flows".JOURNAL OF THE ATMOSPHERIC SCIENCES 77.1(2020):239-255. |
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