Progressive flexural-gravity waves with constant vorticity | |
Wang Z(王展); Guan X(关昕); Vanden-Broeck J-M | |
Source Publication | JOURNAL OF FLUID MECHANICS |
2020-12-25 | |
Volume | 905Pages:A12 |
ISSN | 0022-1120 |
Abstract | This paper is concerned with the interaction of vertically sheared currents with two-dimensional flexural-gravity waves in finite depth. A third-order Stokes expansion is carried out and fully nonlinear computations are performed for symmetric, steadily travelling waves on a linear shear current. For upstream periodic waves, two global bifurcation mechanisms are discovered. Both branches bifurcate from infinitesimal periodic waves, with one stopping at another infinitesimal wave of different phase speed, and the other terminating at a stationary configuration. Generalised solitary waves are found for downstream waves. More surprisingly, the central pulse of the generalised solitary wave can become wide and flat as the computational domain is enlarged. This provides strong evidence for the existence of wave fronts in single-layer free-surface waves. Particle trajectories and streamline structures are studied numerically for the fully nonlinear equations. Two patterns, closed orbits and pure horizontal transport, are observed for both periodic and solitary waves in moving frames. The most striking phenomenon is the existence of net vertical transport of particles beneath some solitary waves due to wave-current interactions. The streamline patterns alternate between net vertical transport and a closed orbit, resulting in the formation of a series of nested cat's-eye structures. |
Keyword | shear waves HYDROELASTIC SOLITARY WAVES surface gravity waves LOADED ELASTIC PLATE solitary waves KORTEWEG-DE-VRIES WATER-WAVES FINITE-DEPTH CAPILLARY WAVES SURFACE-WAVES SHEAR CURRENT ICE COVER BENEATH |
DOI | 10.1017/jfm.2020.750 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:000586493000001 |
WOS Research Area | Mechanics ; Physics |
WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
Funding Organization | National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11772341} ; Key Research Program of Frontier Sciences of CAS [QYZDBSSW-SYS015} ; Strategic Priority Research Program of the Chinese Academy of SciencesChinese Academy of Sciences [XDB22040203} ; CAS Center for Excellence in Complex System Mechanics ; EPSRCEngineering & Physical Sciences Research Council (EPSRC) [EP/N018559/1} |
Classification | 一类/力学重要期刊 |
Ranking | 1 |
Contributor | Wang, Z |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/85409 |
Collection | 流固耦合系统力学重点实验室 |
Affiliation | 1.{Wang Z., Guan X.} Chinese Acad Sci Inst Mech Key Lab Mech Fluid Solid Coupling Syst Beijing 100190 Peoples R China 2.{Wang Z.} Chinese Acad Sci Inst Mech State Key Lab Nonlinear Mech Beijing 100190 Peoples R China 3.{Wang Z., Guan X.} Univ Chinese Acad Sci Sch Engn Sci Beijing 100049 Peoples R China 4.{Vanden-Broeck J-M} UCL Dept Math London WC1E 6BT England |
Recommended Citation GB/T 7714 | Wang Z,Guan X,Vanden-Broeck J-M. Progressive flexural-gravity waves with constant vorticity[J]. JOURNAL OF FLUID MECHANICS,2020,905:A12. |
APA | Wang Z,Guan X,&Vanden-Broeck J-M.(2020).Progressive flexural-gravity waves with constant vorticity.JOURNAL OF FLUID MECHANICS,905,A12. |
MLA | Wang Z,et al."Progressive flexural-gravity waves with constant vorticity".JOURNAL OF FLUID MECHANICS 905(2020):A12. |
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