A multi-domain decomposition strategy for the lattice Boltzmann method for steady-state flows

作者：Liu, Zhixiang; Fang, Yong; Song, Anping; Xu, Lei; Wang, Xiaowei; Zhou, Liping; Xie, Jiang; Zhang, Wu^*

来源：Engineering Applications of Computational Fluid Mechanics, 2016, 10(1): 72-85.

DOI：10.1080/19942060.2015.1092743

• Lattice Boltzmann method
• multi-domain decomposition strategy
• Bathnagar-Gross-Krook model
• steady-state flows

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.

• 出版日期2016
• 单位上海大学