| A local model for the limiting configuration of interfacial solitary waves | |
Guan, X. ; Vanden-Broeck, J. -M.; Wang Z(王展); Dias, F.
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| Source Publication | JOURNAL OF FLUID MECHANICS
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| 2021-07 | |
| Volume | 921Pages:A9 |
| ISSN | 0022-1120 |
| Abstract | 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. |
| Keyword | solitary waves internal waves |
| Subject Area | Mechanics ; Physics, Fluids & Plasmas |
| DOI | 10.1017/jfm.2021.521 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000665865500001 |
| Funding Organization | 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 |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Wang, Z (corresponding author), Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/90226 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.[Guan, X. 2.Wang, Z.] Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China 3.Vanden-Broeck, J. -M.] UCL, Dept Math, London WC1E 6BT, England 4.[Dias, F.] Univ Coll Dublin, Sch Math & Stat, Dublin 4, Ireland |
| Recommended Citation 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.Rp_Au:Wang, Z (corresponding author), Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China. |
| 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. |
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| guan2021.pdf（648KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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