Direct Numerical Simulation of Flow in a Channel With Time-Dependent Wall Geometry

GE Ming-wei; XU Chun-xiao; CUI Gui-xiang

doi:10.3879/j.issn.1000-0887.2010.01.010

Volume 31 Issue 1

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GE Ming-wei, XU Chun-xiao, CUI Gui-xiang. Direct Numerical Simulation of Flow in a Channel With Time-Dependent Wall Geometry[J]. Applied Mathematics and Mechanics, 2010, 31(1): 91-101. doi: 10.3879/j.issn.1000-0887.2010.01.010

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Direct Numerical Simulation of Flow in a Channel With Time-Dependent Wall Geometry

doi: 10.3879/j.issn.1000-0887.2010.01.010

School of Aerospace, Tsinghua University, Beijing 100084, P. R. China

Received Date: 2009-05-13
Rev Recd Date: 2009-11-26
Publish Date: 2010-01-15

Abstract

Abstract

A numerical scheme was developed to extend the scope of the spectralm ethod without solving the covariant and contra-variant form of Navier-Stokes equations in curvilinear coordinates. The primitive variables were rep resented by Fourier series and Chebyshev polynomials in computational space. The time advan cement was accom plished by a high-order tmie-splitting method, and a corresponding high-order pressure condition at the wall was in troduced to reduce the splitting error. Compared with the previous pseudo-spectral scheme, in which the Navier-Stokes equations were solved in covariant and contra-variant form, the present scheme reduced the computational cost, at the same time kept the spectral accuracy. The scheme was tested by the simulation of turbulent flow in a channel with a static streamwise wavy wall and turbulent flow over a flexible wallundergoing streamwise traveling wave motion. Turbulent flow over an oscillating dimple was studied using present numerical scheme, and the periodic generation of vortical structures was analyzed.
- spectralm ethod,
- time-dependent wall geometry,
- turbulent flow,

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References(19)

References

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