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DOI | 10.1175/JAS-D-19-0065.1 |
Modulational Stability of Nonlinear Saturated Gravity Waves | |
Schlutow, Mark | |
2019-11-01 | |
发表期刊 | JOURNAL OF THE ATMOSPHERIC SCIENCES
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ISSN | 0022-4928 |
EISSN | 1520-0469 |
出版年 | 2019 |
卷号 | 76期号:11页码:3327-3336 |
文章类型 | Article |
语种 | 英语 |
国家 | Germany |
英文摘要 | Stationary gravity waves, such as mountain lee waves, are effectively described by Grimshaw's dissipative modulation equations even in high altitudes where they become nonlinear due to their large amplitudes. In this theoretical study, a wave-Reynolds number is introduced to characterize general solutions to these modulation equations. This nondimensional number relates the vertical linear group velocity with wavenumber, pressure scale height, and kinematic molecular/eddy viscosity. It is demonstrated by analytic and numerical methods that Lindzen-type waves in the saturation region, that is, where the wave-Reynolds number is of order unity, destabilize by transient perturbations. It is proposed that this mechanism may be a generator for secondary waves due to direct wave-mean-flow interaction. By assumption, the primary waves are exactly such that altitudinal amplitude growth and viscous damping are balanced and by that the amplitude is maximized. Implications of these results on the relation between mean-flow acceleration and wave breaking heights are discussed. |
英文关键词 | Internal waves Mountain waves Nonlinear dynamics Stability Turbulence Nonlinear models |
领域 | 地球科学 |
收录类别 | SCI-E |
WOS记录号 | WOS:000490476800002 |
WOS关键词 | INSTABILITIES ; GENERATION ; ATMOSPHERE ; BREAKING |
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/188132 |
专题 | 地球科学 |
作者单位 | Free Univ Berlin, Inst Math, Berlin, Germany |
推荐引用方式 GB/T 7714 | Schlutow, Mark. Modulational Stability of Nonlinear Saturated Gravity Waves[J]. JOURNAL OF THE ATMOSPHERIC SCIENCES,2019,76(11):3327-3336. |
APA | Schlutow, Mark.(2019).Modulational Stability of Nonlinear Saturated Gravity Waves.JOURNAL OF THE ATMOSPHERIC SCIENCES,76(11),3327-3336. |
MLA | Schlutow, Mark."Modulational Stability of Nonlinear Saturated Gravity Waves".JOURNAL OF THE ATMOSPHERIC SCIENCES 76.11(2019):3327-3336. |
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