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A local model for the limiting configuration of interfacial solitary waves

文献类型：期刊论文

作者Guan, X.; Vanden-Broeck, J. -M.; Wang Z(王展); Dias, F.
刊名JOURNAL OF FLUID MECHANICS
出版日期2021-07
卷号921页码:A9
关键词solitary waves internal waves
ISSN号0022-1120
DOI10.1017/jfm.2021.521
英文摘要The limiting configuration of interfacial solitary waves between two homogeneous fluids consisting of a sharp angle with an enclosed bubble of stagnant heavier fluid on top is investigated numerically. We use a boundary integral equation method to compute the almost limiting profiles which are nearly self-intersecting and thus extend the work of Pullin & Grimshaw (Phys. Fluids, vol. 31, 1988, pp. 3550-3559) by obtaining the overhanging solutions for very small density ratios. To further study the local configuration of the limiting profile, we propose a reduced model that replaces the angle with two straight solid walls intersecting at the bottom of the bubble. Using a series truncation method, a one-parameter family of solutions depending on the angle between the two solid walls (denoted by gamma ) is found. When gamma = 2 pi/3 it is shown that the simplified model agrees well with the near-limiting wave profile if the density ratio is small, and thus provides a good local approximation to the assumed limiting configuration. Interesting solutions for other values of gamma are also explored.
学科主题Mechanics ; Physics, Fluids & Plasmas
分类号一类/力学重要期刊
语种英语
WOS记录号WOS:000665865500001
资助机构National Natural Science Foundation of China [11772341] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB22040203] ; European Research Council [833125] ; EPSRC [EP/N018559/1] ; Chinese Scholarship Council
其他责任者Wang, Z (corresponding author), Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China.
源URL[http://dspace.imech.ac.cn/handle/311007/90226]  
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.[Dias, F.] Univ Coll Dublin, Sch Math & Stat, Dublin 4, Ireland
2.Vanden-Broeck, J. -M.] UCL, Dept Math, London WC1E 6BT, England
3.Wang, Z.] Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
4.[Guan, X.
推荐引用方式
GB/T 7714		 Guan, X.,Vanden-Broeck, J. -M.,Wang Z,et al. A local model for the limiting configuration of interfacial solitary waves[J]. JOURNAL OF FLUID MECHANICS,2021,921:A9.
APA Guan, X.,Vanden-Broeck, J. -M.,王展,&Dias, F..(2021).A local model for the limiting configuration of interfacial solitary waves.JOURNAL OF FLUID MECHANICS,921,A9.
MLA Guan, X.,et al."A local model for the limiting configuration of interfacial solitary waves".JOURNAL OF FLUID MECHANICS 921(2021):A9.

入库方式： OAI收割

来源：力学研究所

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