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Nonlinear hydroelastic waves on a linear shear current at finite depth
Gao T; Wang Z(王展); Milewski PA
Corresponding AuthorWang, Z.(zwang@imech.ac.cn)
Source PublicationJOURNAL OF FLUID MECHANICS
2019-10-10
Volume876Pages:55-86
ISSN0022-1120
AbstractThis work is concerned with waves propagating on water of finite depth with a constant-vorticity current under a deformable flexible sheet. The pressure exerted by the sheet is modelled by using the Cosserat thin shell theory. By means of multi-scale analysis, small amplitude nonlinear modulation equations in several regimes are considered, including the nonlinear Schrodinger equation (NLS) which is used to predict the existence of small-amplitude wavepacket solitary waves in the full Euler equations and to study the modulational instability of quasi-monochromatic wavetrains. Guided by these weakly nonlinear results, fully nonlinear steady and time-dependent computations are performed by employing a conformal mapping technique. Bifurcation mechanisms and typical profiles of solitary waves for different underlying shear currents are presented in detail. It is shown that even when small-amplitude solitary waves are not predicted by the weakly nonlinear theory, we can numerically find large-amplitude solitary waves in the fully nonlinear equations. Time-dependent simulations are carried out to confirm the modulational stability results and illustrate possible outcomes of the nonlinear evolution in unstable cases.
Keywordshear waves solitary waves surface gravity waves
DOI10.1017/jfm.2019.528
Indexed BySCI ; EI
Language英语
WOS IDWOS:000477951600001
WOS KeywordFLEXURAL-GRAVITY-WAVES ; LOADED ELASTIC PLATE ; SEA ICE-SHEET ; SOLITARY WAVES ; WATER-WAVES ; DEEP-WATER ; SURFACE-WAVES ; STABILITY ; AMPLITUDE ; COMPUTATIONS
WOS Research AreaMechanics ; Physics
WOS SubjectMechanics ; Physics, Fluids & Plasmas
Funding ProjectNational Natural Science Foundation of China[11772341] ; Key Research Program of Frontier Sciences, CAS[QYZDBSSW-SYS015] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040203] ; EPSRC[EP/N018176/1]
Funding OrganizationNational Natural Science Foundation of China ; Key Research Program of Frontier Sciences, CAS ; Strategic Priority Research Program of the Chinese Academy of Sciences ; EPSRC
Classification一类/力学重要期刊
Ranking1
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/79486
Collection流固耦合系统力学重点实验室
Recommended Citation
GB/T 7714
Gao T,Wang Z,Milewski PA. Nonlinear hydroelastic waves on a linear shear current at finite depth[J]. JOURNAL OF FLUID MECHANICS,2019,876:55-86.
APA Gao T,王展,&Milewski PA.(2019).Nonlinear hydroelastic waves on a linear shear current at finite depth.JOURNAL OF FLUID MECHANICS,876,55-86.
MLA Gao T,et al."Nonlinear hydroelastic waves on a linear shear current at finite depth".JOURNAL OF FLUID MECHANICS 876(2019):55-86.
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