Numerical Simulation of Two-Dimensional Flow over Three Cylinders by LatticeBoltzmann Method

YANG Hong-Bing, LIU Yang, XU You-Sheng,, and KOU Jian-Long

Communications in Theoretical Physics ›› 2010, Vol. 54 ›› Issue (05) : 886-892.

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Communications in Theoretical Physics ›› 2010, Vol. 54 ›› Issue (05) : 886-892.

Numerical Simulation of Two-Dimensional Flow over Three Cylinders by LatticeBoltzmann Method

  • YANG Hong-Bing,1 LIU Yang,2 XU You-Sheng,1,2 and KOU Jian-Long1
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Abstract

The numerical simulation using the multiple relaxation time lattice Boltzmann method (MRT-LBM) is carried out for the purpose of investigating the two-dimensional flow around three circular cylinders. Among these three circular cylinders, one of the three cylinders on which a forced in-line vibrating is used to do this research and attempt to find out the effects of the moving
cylinder and the other two rigid cylinders on the wake characteristics and vortex formation. As a benchmark problem to discuss the problem of lift coefficient r.m.s for these cylinders with spacing ratios T/D between other rigid side-by-side cylinders, and the calculation is carried out with two compared cases at Reynolds number of 100, two of the cylinders are rigid
and the other one is an in-line vibrated cylinder lying downstream, in addition, forced vibrating amplitude and frequency are A/D= 0.5 and fν=0.4 (where A is the forced amplitude, D is the cylinder diameter, and fν stands for the vibrating frequency, respectively). The calculated results not only
indicate that the spacing ratios T/D (T is the center-to-center spacing between the two upstream cylinders) have influence on the wake patterns and the formation of vortex shedding, but also analyze the lift coefficient r.m.s for the three cylinders with the spacing ratios S/D (where S is the center-to-center spacing between the center of upstream two side-by-side cylinders and downstream cylinder).

Key words

flow over three cylinders / numerical simulation / lattice Boltzmann method

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YANG Hong-Bing, LIU Yang, XU You-Sheng,, and KOU Jian-Long. Numerical Simulation of Two-Dimensional Flow over Three Cylinders by LatticeBoltzmann Method[J]. Communications in Theoretical Physics, 2010, 54(05): 886-892
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