Author:
Z. X. Liu , Y. Fang, A. P. Song, L. Xu, X. W. Wang, L.P. Zhou, J. Xie and W. Zhang, A multi-domain decomposition strategy for the lattice Boltzmann method for steady-state flows, Engineering Applications of Computational Fluid Mechanics, 10(1), 72-85, 2016
Abstract：
The lattice Boltzmann method (LBM) is a potent numerical technique based on kinetic theory. It can effectively simulate the steady-state and unsteady-state flow problems. A multi-domain decomposition strategy is developed for the LBM in order to accelerate the rate of convergence in different domains by the relative error in the different regions of the steady-state flow. In addition, the proposed method can effectively reduce the amount of calculations required and improve numerical stability. Numerical experiments involving both two- and three-dimensional steady-state flows demonstrate drastically improved computational efficiency and superior numerical stability over the popular lattice Bathnagar-Gross-Krook (BGK) model. Moreover, for unsteady-state flow problems, the presented method can also be used to obtain the flow phenomenon of some unsteady-state flows by choosing the suitable parameter.
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