Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (2): 127-138.doi: https://doi.org/10.1007/s10483-013-1658-x

• Articles •     Next Articles

Transient response of enstrophy transport to opposition control in turbulent channel flow

 GE Ming-Wei1,2, XU Chun-Xiao1, Wei-xi HUANG1, Gui-xiang1   

  1. 1. Key Laboratory of Applied Mechanics, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P. R. China 2. Guodian United Power Technology Company Limited, Beijing 100039, P. R. China
  • Received:2012-02-01 Revised:2012-04-21 Online:2013-02-03 Published:2013-01-22
  • Contact: Chun-xiao XU, E-mail: xucx@tsinghua.edu.cn E-mail:xucx@tsinghua.edu.cn

Abstract: The transient response of the turbulent enstrophy transport to opposition control in the turbulent channel flow is studied with the aid of direct numerical simulation. It is found that the streamwise enstrophy and the spanwise enstrophy are suppressed by the attenuation of the stretching terms at first, while the vertical enstrophy is reduced by inhibiting the tilt of the mean shear. In the initial period of the control, the streamwise enstrophy evolves much slower than the other two components. The vertical vorticity component exhibits a rapid monotonic decrease and also plays an important role in the attenuation of the other two components.

Key words: sideways parabolic equation, regularization, optimal error bound, inverse heat conduction problem, ill-posed problem, turbulent channel flow, enstrophy transport, opposition control

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