Multiple-relaxation-time lattice Boltzmann computation of channel flow past a square cylinder with an upstream control bi-partition.

*(English)*Zbl 1426.76661Summary: The present paper deals with the application of the multiple-relaxation-time lattice Boltzmann equation (MRT-LBE) for the simulation of a channel flow with a bi-partition located upstream of a square cylinder in order to control the flow. Numerical investigations have been carried out for different heights and positions of the bi-partition at Reynolds number of 250. Key computational issues involved are the computation of fluid forces acting on the square cylinder, the vortex shedding frequency and the impact of such bluff body on the flow pattern. A particular attention is paid to drag and lift coefficients on the square cylinder. The predicted results from MRT-LBE simulations show that in most cases, the interaction was beneficial insofar as the drag of the square block was lower with the bi-partition than without it. Fluctuating side forces due to vortex shedding from the main body were also reduced for most bi-partition positions.

##### MSC:

76P05 | Rarefied gas flows, Boltzmann equation in fluid mechanics |

76M28 | Particle methods and lattice-gas methods |

##### Keywords:

lattice Boltzmann equation; laminar flow channel; bi-partition; square cylinder; flow control
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\textit{M. A. Moussaoui} et al., Int. J. Numer. Methods Fluids 64, No. 6, 591--608 (2010; Zbl 1426.76661)

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