Nonlinear interactions of nearly non-dispersive equatorial shallow-water waves

doi:10.1093/imamat/hxaa009

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	Nonlinear interactions of nearly non-dispersive equatorial shallow-water waves
	Wang M(王冕)1; Wang Z(王展)1 ; Hajduk H 2
通讯作者	Wang, Zhan(zwang@imech.ac.cn)
发表期刊	IMA JOURNAL OF APPLIED MATHEMATICS
	2020-06-01
卷号	85 期号:3 页码:365-384
ISSN	0272-4960
摘要	This paper is concerned with nonlinear interactions of fundamental equatorial modes. In order to understand the mechanism of large-scale atmospheric motions in the near equator regime-especially the observed wavenumber-frequency spectrum-we develop novel models describing interactions among Kelvin, Yanai and Poincare waves. Based on the methods of multiple scales and Galerkin projection, the primitive equations can be simplified to model equations which reduce the complexity and cost of computation significantly. Subsequently, the detailed numerical results indicate that wave interactions between the aforementioned modes in the non-dispersive regime depends on initial amplitude and relative phase and that the eastward Yanai wave can be generated from the second Poincare mode. We also compare the simplified models to an advanced finite element approximation for the primitive equations. The fact that results of the latter are in good agreement, at least qualitatively, with those of the simplified models, indicates that reduced models capture most of the wave interaction mechanisms in the nearly non-dispersive regime.
关键词	wave interactions shallow water equations equatorial waves
DOI	10.1093/imamat/hxaa009
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000537515600002
关键词[WOS]	MATLAB/GNU OCTAVE TOOLBOX ; DISCONTINUOUS GALERKIN METHOD ; ROSSBY-GRAVITY-WAVES ; ONE-LAYER MODEL ; WEAK-INTERACTIONS ; MECHANISM ; FESTUNG ; RESONANCE
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
资助项目	DFG Initiation of International Collaboration Programme[KU 1530/22-1] ; Key Research Program of Frontier Sciences of CAS[QYZDBSSW-SYS015] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040203] ; CAS Center for Excellence in Complex System Mechanics
项目资助者	DFG Initiation of International Collaboration Programme ; Key Research Program of Frontier Sciences of CAS ; Strategic Priority Research Program of the Chinese Academy of Sciences ; CAS Center for Excellence in Complex System Mechanics
论文分区	二类
力学所作者排名	1
RpAuthor	Wang, Zhan
引用统计
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/82126
专题	流固耦合系统力学重点实验室
作者单位	1.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China; 2.TU Dortmund Univ, Inst Appl Math LS 3, Vogelpothsweg 87, D-44227 Dortmund, Germany
推荐引用方式 GB/T 7714	Wang M,Wang Z,Hajduk H. Nonlinear interactions of nearly non-dispersive equatorial shallow-water waves[J]. IMA JOURNAL OF APPLIED MATHEMATICS,2020,85,3,:365-384.
APA	王冕,王展,&Hajduk H.(2020).Nonlinear interactions of nearly non-dispersive equatorial shallow-water waves.IMA JOURNAL OF APPLIED MATHEMATICS,85(3),365-384.
MLA	王冕,et al."Nonlinear interactions of nearly non-dispersive equatorial shallow-water waves".IMA JOURNAL OF APPLIED MATHEMATICS 85.3(2020):365-384.

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