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Dynamics of interfacial gravity-capillary waves in three-dimensional fluids of great depth
Li HY(李海艳)1,2; Wang Z(王展)1,2,3
通讯作者Wang, Zhan(zwang@imech.ac.cn)
发表期刊COMPUTERS & FLUIDS
2021-12-15
卷号231页码:13
ISSN0045-7930
摘要This paper proposes a new isotropic bidirectional model for weakly nonlinear gravity-capillary waves propagating between two incompressible, inviscid, and immiscible fluids of different densities. The newly developed equation is a generalization of the celebrated two-dimensional Benjamin equation. It is derived based on the nonlocal formulation of water wave (i.e., the Ablowitz-Fokas-Musslimani formulation) and computed with the modified exponential time-differencing method. It is found that horizontally two-dimensional, fully localized traveling waves (known as lumps) exist in the model equation, and plane solitary waves are unstable subject to long transverse perturbations, which evolve into groups of lumps in the long-term dynamics. When considering topographical disturbances on the rigid upper boundary, the nonlinear effect becomes important when a uniform flow passes beneath a locally confined topography with a near-critical speed, and the phenomenon of time-periodic shedding of lumps occurs. Unlike the near-critical situation, the subcritical flows usually generate steady elevation waves, while the supercritical ones produce a V-shaped pattern of wake lines. Furthermore, it is shown that a uniformly accelerated motion can also generate lumps provided that the flow stays in the transcritical regime for a considerably long time.
关键词Isotropic model ETD Interfacial wave Capillary-gravity wave
DOI10.1016/j.compfluid.2021.105151
收录类别SCI ; EI
语种英语
WOS记录号WOS:000708699100005
关键词[WOS]SOLITARY WAVES ; WATER ; GENERATION
WOS研究方向Computer Science ; Mechanics
WOS类目Computer Science, Interdisciplinary Applications ; Mechanics
资助项目National Natural Science Foun-dation of China[11911530171] ; National Natural Science Foun-dation of China[11772341] ; National Natural Science Foun-dation of China[12132018] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040203]
项目资助者National Natural Science Foun-dation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences
论文分区二类
力学所作者排名1
RpAuthorWang, Zhan
引用统计
文献类型期刊论文
条目标识符http://dspace.imech.ac.cn/handle/311007/87632
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, Beijing 100190, Peoples R China;
2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China;
3.Univ Chinese Acad Sci, Sch Future Technol, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714
Li HY,Wang Z. Dynamics of interfacial gravity-capillary waves in three-dimensional fluids of great depth[J]. COMPUTERS & FLUIDS,2021,231:13.
APA 李海艳,&王展.(2021).Dynamics of interfacial gravity-capillary waves in three-dimensional fluids of great depth.COMPUTERS & FLUIDS,231,13.
MLA 李海艳,et al."Dynamics of interfacial gravity-capillary waves in three-dimensional fluids of great depth".COMPUTERS & FLUIDS 231(2021):13.
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