The derivation of an isotropic model for internal waves and its application to wave generation
Yuan C4; Wang Z(王展)2,3; Chen X1,4
刊名OCEAN MODELLING
2020-09-01
卷号153页码:9
关键词3D Internal waves Benney-Luke equation Isotropic model
ISSN号1463-5003
DOI10.1016/j.ocemod.2020.101663
通讯作者Wang, Z.(zwang@imech.ac.cn)
英文摘要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.
分类号二类/Q1
资助项目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]
WOS关键词SOLITARY WAVES ; EVOLUTION-EQUATIONS ; STRATIFIED FLUIDS ; LONG ; FLOW ; AMPLITUDE ; SOLITONS
WOS研究方向Meteorology & Atmospheric Sciences ; Oceanography
语种英语
WOS记录号WOS:000564119200001
资助机构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
其他责任者Wang, Z.
内容类型期刊论文
源URL[http://dspace.imech.ac.cn/handle/311007/85031]  
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.China Univ Geosci, Hubei Key Lab Marine Geol Resources, Wuhan 430074, Peoples R China
2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China;
3.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China;
4.Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China;
推荐引用方式
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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