Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method

被引:834
作者
Guo, ZL [1 ]
Zheng, CG
Shi, BC
机构
[1] Huazhong Univ Sci & Technol, Natl Lab Coal Combust, Wuhan 430074, Peoples R China
[2] Huazhong Univ Sci & Technol, Dept Math, Shenyang 110023, Peoples R China
来源
CHINESE PHYSICS | 2002年 / 11卷 / 04期
关键词
lattice Boltzmann method; boundary conditions;
D O I
10.1088/1009-1963/11/4/310
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we propose a new approach to implementing boundary conditions in the lattice Boltzmann method (LBM). The basic idea is to decompose the distribution function at the boundary node into its equilibrium and non-equilibrium parts, and then to approximate the non-equilibrium part with a first-order extrapolation of the nonequilibrium part of the distribution at the neighbouring fluid node. Schemes for velocity and pressure boundary conditions are constructed based on this method. The resulting schemes are of second-order accuracy. Numerical tests show that the numerical solutions of the LBM together with the present boundary schemes are in excellent agreement with the analytical solutions. Second-order convergence is also verified from the results. It is also found that the numerical stability of the present schemes is much better than that of the original extrapolation schemes proposed by Chen et al.
引用
收藏
页码:366 / 374
页数:9
相关论文
共 21 条
[1]   Lattice Boltzmann method for fluid flows [J].
Chen, S ;
Doolen, GD .
ANNUAL REVIEW OF FLUID MECHANICS, 1998, 30 :329-364
[2]   On boundary conditions in lattice Boltzmann methods [J].
Chen, SY ;
Martinez, D ;
Mei, RW .
PHYSICS OF FLUIDS, 1996, 8 (09) :2527-2536
[3]   A KNUDSEN LAYER THEORY FOR LATTICE GASES [J].
CORNUBERT, R ;
DHUMIERES, D ;
LEVERMORE, D .
PHYSICA D, 1991, 47 (1-2) :241-259
[4]  
d'Humieres D., 1987, Complex Systems, V1, P599
[5]  
Fang HP, 2000, CHINESE PHYS, V9, P515, DOI 10.1088/1009-1963/9/7/008
[6]   Simulation of shock waves using a lattice Boltzmann equation model [J].
Feng, SD ;
Tsutahara, M .
ACTA PHYSICA SINICA, 2001, 50 (06) :1006-1010
[7]  
Gallivan MA, 1997, INT J NUMER METH FL, V25, P249, DOI 10.1002/(SICI)1097-0363(19970815)25:3<249::AID-FLD546>3.0.CO
[8]  
2-7
[9]   Lattice BGK model for incompressible Navier-Stokes equation [J].
Guo, ZL ;
Shi, BC ;
Wang, NC .
JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 165 (01) :288-306
[10]   NON-SLIP BOUNDARY-CONDITION FOR LATTICE BOLTZMANN SIMULATIONS [J].
INAMURO, T ;
YOSHINO, M ;
OGINO, F .
PHYSICS OF FLUIDS, 1995, 7 (12) :2928-2930