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

doi:10.1007/s10483-013-1658-x

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

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

葛铭纬^1,2，许春晓¹，黄伟希¹，崔桂香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

收稿日期:2012-02-01 修回日期:2012-04-21 出版日期:2013-02-03 发布日期:2013-01-22

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

GE Ming-Wei^1,2, XU Chun-Xiao¹, Wei-xi HUANG¹, Gui-xiang¹

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

摘要/Abstract

摘要： 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.

关键词: turbulent channel flow, enstrophy transport, opposition control

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

葛铭纬许春晓黄伟希崔桂香. Transient response of enstrophy transport to opposition control in turbulent channel flow[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(2): 127-138.

GE Ming-Wei;XU Chun-Xiao;Wei-xi HUANG;Gui-xiang. Transient response of enstrophy transport to opposition control in turbulent channel flow[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(2): 127-138.

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

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

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