| The derivation of an isotropic model for internal waves and its application to wave generation | |
Yuan C1; Wang Z(王展)2,3 ; Chen X1,4
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| Corresponding Author | Wang, Z.(zwang@imech.ac.cn) |
| Source Publication | OCEAN MODELLING
 |
| 2020-09-01 | |
| Volume | 153Pages:9 |
| ISSN | 1463-5003 |
| Abstract | In contrast to two-dimensional oceanic internal waves which have been extensively investigated, there are relatively few theoretical studies on three-dimensional internal waves. The most remarkable theory describing three-dimensional internal waves is the Kadomtsev-Petviashvili (KP) equation. Nevertheless, two shortcomings - unidirectional propagation and anisotropy - limit its application in some general cases. In the current paper, via an asymptotic analysis, we derive an isotropic and bidirectional model, the modified Benney-Luke equation, for a two-layer fluid with bottom topography which can vary both in time and space, therefore tides and currents can be incorporated into the internal wave problem due to the relative motion. In the derivation, the assumption of incompressibility and long waves are invoked and the effects of the Earth's rotation and dissipation are ignored. Based on this model, the generation of nonlinear internal waves by background currents and barotropic tides flowing over topography are investigated. The resulting equation aims to facilitate dynamical analyses, as well as the interpretation of in-situ observational data and laboratory experimental results. |
| Keyword | 3D Internal waves Benney-Luke equation Isotropic model |
| DOI | 10.1016/j.ocemod.2020.101663 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000564119200001 |
| WOS Keyword | SOLITARY WAVES ; EVOLUTION-EQUATIONS ; STRATIFIED FLUIDS ; LONG ; FLOW ; AMPLITUDE ; SOLITONS |
| WOS Research Area | Meteorology & Atmospheric Sciences ; Oceanography |
| WOS Subject | Meteorology & Atmospheric Sciences ; Oceanography |
| Funding Project | National Natural Science Foundation of China[11911530171] ; National Natural Science Foundation of China[11772341] ; Key Program of National Natural Science Foundation of China[91958206] ; Key Research Program of Frontier Sciences, China, Chinese Academy of Sciences[QYZDBSSW-SYS015] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040203] |
| Funding Organization | National Natural Science Foundation of China ; Key Program of National Natural Science Foundation of China ; Key Research Program of Frontier Sciences, China, Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences |
| Classification | 二类/Q1 |
| Ranking | 1 |
| Contributor | Wang, Z. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/85032 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China; 2.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China; 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 4.China Univ Geosci, Hubei Key Lab Marine Geol Resources, Wuhan 430074, Peoples R China |
| Recommended Citation GB/T 7714 | Yuan C,Wang Z,Chen X. The derivation of an isotropic model for internal waves and its application to wave generation[J]. OCEAN MODELLING,2020,153:9. |
| APA | Yuan C,王展,&Chen X.(2020).The derivation of an isotropic model for internal waves and its application to wave generation.OCEAN MODELLING,153,9. |
| MLA | Yuan C,et al."The derivation of an isotropic model for internal waves and its application to wave generation".OCEAN MODELLING 153(2020):9. |
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| File Name/Size | DocType | Version | Access | License | ||
| Jp2020272.pdf（2798KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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