Journal of Northeastern University Natural Science ›› 2018, Vol. 39 ›› Issue (4): 538-542.DOI: 10.12068/j.issn.1005-3026.2018.04.017

• Mechanical Engineering • Previous Articles     Next Articles

Local Grid Refinement Implementation of Lid Driven Cavity Flow Based on MRT-LBM

CHEN Song-ying, WANG Chao, QU Yan-peng, WANG Run-kun   

  1. Key Laboratory of High-Efficiency and Clean Mechanical Manufacture, Shandong University, Jinan 250061, China.
  • Received:2017-05-08 Revised:2017-05-08 Online:2018-04-15 Published:2018-04-10
  • Contact: CHEN Song-ying
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Abstract: Employing the D2Q9 model, grids at the double singular corners were locally refined to investigate the flow peculiarity of the lid driven cavity based on the multi-relaxation time of lattice Boltzmann method (MRT-LBM). The transferring formulae of the distribution functions were established between the coarse and fine grids. Parameters were interpolated with cubic spline implementation on the refined layers, and the stress expressions were given on the basis of the Chapman-Enskog. For the cavity flow with the Reynolds number 1000, the simulation results showed that the velocity distribution along the cavity mid plane agrees with that of the classical benchmark very well, the noises on the pressure and vortex contours are significantly reduced, and the stress fluctuation obviously decreases. The computational results showed validation of the present method.

Key words: lattice Boltzmann, multi-relaxation time(MRT), local grid refinement, cavity;D2Q9 model

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