Optimal perturbations for controlling the growth of a Rayleigh–Taylor instability
作者: Ali KordJesse Capecelatro
作者单位: 11 Department of Mechanical Engineering , University of Michigan , Ann Arbor , MI 48109-2125 , USA
刊名: Journal of Fluid Mechanics, 2019, Vol.876 , pp.150-185
来源数据库: Cambridge University Press Journal
DOI: 10.1017/jfm.2019.532
原始语种摘要: A discrete adjoint-based method is employed to control multi-mode Rayleigh–Taylor (RT) instabilities via strategic manipulation of the initial interfacial perturbations. We seek to find to what extent mixing and growth can be enhanced at late stages of the instability and which modes are targeted to achieve this. Three objective functions are defined to quantify RT mixing and growth: (i) variance of mole fraction, (ii) a kinetic energy norm based on the vertical velocity and (iii) variations of mole fraction with respect to the unperturbed initial state. The sensitivity of these objective functions to individual amplitudes of the initial perturbations are studied at various stages of the RT instability. The most sensitive wavenumber during the early stages of the instability closely...
全文获取路径: Cambridge U Press  (合作)
影响因子:2.183 (2012)

  • 垂线 增强
  • growth 生长
  • initial 开首字母
  • instability 不稳定性
  • objective 接物镜
  • bubble 磁泡
  • increase 增加
  • achieved 获得的
  • corresponding 对应的
  • enhanced 增强
  • vertical 增强