Multi-relaxation-time lattice Boltzmann model for axisymmetric flows

被引：38
|
作者：
Wang, Liang [1 ]
Guo, Zhaoli [1 ,2 ]
Zheng, Chuguang [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Natl Lab Coal Combust, Wuhan 430074, Peoples R China
[2] Res Inst Petr Explorat & Dev, State Key Lab Enhanced Oil Recovery, Beijing 100083, Peoples R China
来源：
COMPUTERS & FLUIDS | 2010年 / 39卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Lattice Boltzmann equation; Multiple-relaxation-time; Axisymmetric flow; CZOCHRALSKI CRYSTAL-GROWTH; NUMERICAL-SIMULATION; BOUNDARY-CONDITIONS; SPHERE; DISPERSION; SCHEME;
D O I：
10.1016/j.compfluid.2010.05.007
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a lattice-Boltzmann equation (LBE) with multi relaxation times (MRT) is presented for axisymmetric flows. The model is an extension of a recent model with single-relaxation-time [Guo et al., Phys. Rev. E 79, 046708 (2009)], which was developed based on the axisymmetric Boltzmann equation. Due to the use of the MRT collision model, the present model can achieve better numerical stability. The model is validated by some numerical tests including the Hagen-Poiseuille flow, the pulsatile Womersley flow, and the external flow over a sphere. Numerical results are in excellent agreement with analytical solutions or other available data, and the improvement in numerical stability is also confirmed. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：1542 / 1548
页数：7
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