Nonlinear interactions of nearly non-dispersive equatorial shallow-water waves
文献类型：期刊论文
| 作者 | Wang M(王冕)2; Wang Z(王展)2 ; Hajduk H1
|
| 刊名 | IMA JOURNAL OF APPLIED MATHEMATICS
 |
| 出版日期 | 2020-06-01 |
| 卷号 | 85期号:3页码:365-384 |
| 关键词 | wave interactions shallow water equations equatorial waves |
| ISSN号 | 0272-4960 |
| DOI | 10.1093/imamat/hxaa009 |
| 通讯作者 | Wang, Zhan(zwang@imech.ac.cn) |
| 英文摘要 | 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. |
| 分类号 | 二类 |
| WOS关键词 | MATLAB/GNU OCTAVE TOOLBOX ; DISCONTINUOUS GALERKIN METHOD ; ROSSBY-GRAVITY-WAVES ; ONE-LAYER MODEL ; WEAK-INTERACTIONS ; MECHANISM ; FESTUNG ; RESONANCE |
| 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 |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000537515600002 |
| 资助机构 | 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 |
| 其他责任者 | Wang, Zhan |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/82125]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 作者单位 | 1.TU Dortmund Univ, Inst Appl Math LS 3, Vogelpothsweg 87, D-44227 Dortmund, Germany 2.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China; |
| 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. |
入库方式： OAI收割
来源：力学研究所
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