Topographic effect on oblique internal wave-wave interactions | |
Yuan C; Grimshaw R; Johnson E; Wang Z(王展)![]() | |
Source Publication | JOURNAL OF FLUID MECHANICS
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2018-09-28 | |
Volume | 856Pages:36-60 |
ISSN | 0022-1120 |
Abstract | Based on a variable-coefficient Kadomtsev-Petviashvili (KP) equation, the topographic effect on the wave interactions between two oblique internal solitary waves is investigated. In the absence of rotation and background shear, the model set-up featuring idealised shoaling topography and continuous stratification is motivated by the large expanse of continental shelf in the South China Sea. When the bottom is flat, the evolution of an initial wave consisting of two branches of internal solitary waves can be categorised into six patterns depending on the respective amplitudes and the oblique angles measured counterclockwise from the transverse axis. Using theoretical multi-soliton solutions of the constant-coefficient KP equation, we select three observed patterns and examine each of them in detail both analytically and numerically. The effect of shoaling topography leads to a complicated structure of the leading waves and the emergence of two types of trailing wave trains. Further, the case when the along-crest width is short compared with the transverse domain of interest is examined and it is found that although the topographic effect can still modulate the wave field, the spreading effect in the transverse direction is dominant. |
Keyword | internal waves solitary waves topographic effects |
DOI | 10.1017/jfm.2018.678 |
URL | 查看原文 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:000445853700001 |
WOS Keyword | SOUTH CHINA SEA ; SOLITARY WAVES ; MACH REFLECTION ; COASTAL OCEAN ; SHALLOW-WATER ; PROPAGATION ; EVOLUTION ; SOLITONS ; GENERATION ; FLOWS |
WOS Research Area | Mechanics ; Physics, Fluids & Plasmas |
WOS Subject | Mechanics ; Physics |
Funding Organization | Chinese Scholarship Council ; UCL Dean's prize ; Leverhulme Trust through the Leverhulme Emeritus Fellowship ; National Natural Science Foundation of China [11772341] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB22040203] |
Classification | 一类/力学重要期刊 |
Ranking | 3 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/77858 |
Collection | 流固耦合系统力学重点实验室 |
Affiliation | 1.[Yuan, C. 2.Grimshaw, R. 3.Johnson, E.] UCL, Dept Math, London WC1E 6BT, England 4.[Wang, Z.] Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China 5.[Wang, Z.] Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China |
Recommended Citation GB/T 7714 | Yuan C,Grimshaw R,Johnson E,et al. Topographic effect on oblique internal wave-wave interactions[J]. JOURNAL OF FLUID MECHANICS,2018,856:36-60. |
APA | Yuan C,Grimshaw R,Johnson E,&王展.(2018).Topographic effect on oblique internal wave-wave interactions.JOURNAL OF FLUID MECHANICS,856,36-60. |
MLA | Yuan C,et al."Topographic effect on oblique internal wave-wave interactions".JOURNAL OF FLUID MECHANICS 856(2018):36-60. |
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