| Hydroelastic lumps in shallow water | |
Meng YH(孟洋涵)1,2 ; Wang Z(王展)1,2,3
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| Corresponding Author | Wang, Zhan([email protected]) |
| Source Publication | PHYSICA D-NONLINEAR PHENOMENA
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| 2022-06-01 | |
| Volume | 434Pages:14 |
| ISSN | 0167-2789 |
| Abstract | Hydroelastic solitary waves propagating on the surface of a three-dimensional ideal fluid through the deformation of an elastic sheet are studied. The problem is investigated based on a Benney-Luke-type equation derived via an explicit non-local formulation of the classic water wave problem. The normal form analysis is carried out for the newly developed equation, which results in the Benney-Roskes-Davey-Stewartson (BRDS) system governing the coupled evolution of the envelope of a carrier wave and the wave-induced mean flow. Numerical results show three types of free solitary waves in the Benney-Luke-type equation all of which are predicted by the BRDS system: plane solitary wave, lump (i.e., fully localized traveling waves in three dimensions), and transversally periodic solitary wave. They are linked together by a dimension-breaking bifurcation where plane solitary waves and lumps can be viewed as two limiting cases, and transversally periodic solitary waves serve as intermediate states. The stability and interaction of solitary waves are investigated via a numerical time integration of the Benney-Luke-type equation. For a localized load moving on the elastic sheet with a constant speed, it is found that there exists a transcritical regime of forcing speed for which there are no steady solutions. Instead, periodic shedding of lumps can be observed if the forcing moves at speed in this range. (C) 2022 Elsevier B.V. All rights reserved. |
| Keyword | Hydroelastic wave Lump Free-surface flow |
| DOI | 10.1016/j.physd.2022.133200 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000808613100001 |
| WOS Keyword | CAPILLARY SOLITARY WAVES ; FLOATING ICE ; GENERATION ; EXISTENCE ; SOLITONS ; EQUATION ; COVER ; SHEET |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical |
| Funding Project | Key Research Program of Frontier Sciences of CAS, China[QYZDB-SSW-SYS015] ; Strategic Priority Research Program of CAS, China[XDB22040203] |
| Funding Organization | Key Research Program of Frontier Sciences of CAS, China ; Strategic Priority Research Program of CAS, China |
| Classification | 二类/Q1 |
| Ranking | 1 |
| Contributor | Wang, Zhan |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/89307 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 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 |
| Recommended Citation GB/T 7714 | Meng YH,Wang Z. Hydroelastic lumps in shallow water[J]. PHYSICA D-NONLINEAR PHENOMENA,2022,434:14.Rp_Au:Wang, Zhan |
| APA | 孟洋涵,&王展.(2022).Hydroelastic lumps in shallow water.PHYSICA D-NONLINEAR PHENOMENA,434,14. |
| MLA | 孟洋涵,et al."Hydroelastic lumps in shallow water".PHYSICA D-NONLINEAR PHENOMENA 434(2022):14. |
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| Jp2022FA339_2022_Hyd（1216KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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