Nonlinear hydroelastic waves on a linear shear current at finite depth
作者: T. GaoZ. WangP. A. Milewski
作者单位: 11 Department of Mathematical Sciences , University of Bath , Bath BA2 7AY , UK
2 2 Institute of Mechanics , Chinese Academy of Sciences , Beijing 100190 , China
3 3 School of Engineering Science , University of Chinese Academy of Sciences , Beijing 100049 , China
刊名: Journal of Fluid Mechanics, 2019, Vol.876 , pp.55-86
来源数据库: Cambridge University Press Journal
DOI: 10.1017/jfm.2019.528
原始语种摘要: This 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 Schrödinger 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...
全文获取路径: Cambridge U Press  (合作)
影响因子:2.183 (2012)

  • nonlinear 非线性的
  • finite 有限的
  • current 
  • deformable 可变形的
  • depth 
  • flexible 接电绳
  • amplitude 振幅
  • propagating 传递
  • detail 详情
  • monochromatic 单能的