| Nonlinear interactions of nearly non-dispersive equatorial shallow-water waves | |
Wang M(王冕)1; Wang Z(王展)1 ; Hajduk H2
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| Corresponding Author | Wang, Zhan([email protected]) |
| Source Publication | IMA JOURNAL OF APPLIED MATHEMATICS
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| 2020-06-01 | |
| Volume | 85Issue:3Pages:365-384 |
| ISSN | 0272-4960 |
| Abstract | 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. |
| Keyword | wave interactions shallow water equations equatorial waves |
| DOI | 10.1093/imamat/hxaa009 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000537515600002 |
| WOS Keyword | MATLAB/GNU OCTAVE TOOLBOX ; DISCONTINUOUS GALERKIN METHOD ; ROSSBY-GRAVITY-WAVES ; ONE-LAYER MODEL ; WEAK-INTERACTIONS ; MECHANISM ; FESTUNG ; RESONANCE |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| Funding Project | 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 |
| Funding Organization | 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 |
| Classification | 二类 |
| Ranking | 1 |
| Contributor | Wang, Zhan |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/82126 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 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 |
| Recommended Citation 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.Rp_Au:Wang, Zhan |
| 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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| Jp2020156.pdf（1701KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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