One-point boundary condition for the lattice Boltzmann method

被引:48
作者
Junk, M [1 ]
Yang, ZX [1 ]
机构
[1] Univ Konstanz, FB Math & Stat, D-78457 Constance, Germany
来源
PHYSICAL REVIEW E | 2005年 / 72卷 / 06期
关键词
D O I
10.1103/PhysRevE.72.066701
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We propose a correction to the bounce back boundary condition for lattice Boltzmann algorithms which improves the accuracy of pressure from zero to first order and the accuracy of velocity from first to second order. Compared to interpolation based corrections, our method has the advantage of being completely local. In fact, methods using interpolation face difficulties at boundary points where not enough neighboring nodes are available. We show that a combination with our method offers a natural solution to this problem.
引用
收藏
页数:8
相关论文
共 20 条
[1]   Momentum transfer of a Boltzmann-lattice fluid with boundaries [J].
Bouzidi, M ;
Firdaouss, M ;
Lallemand, P .
PHYSICS OF FLUIDS, 2001, 13 (11) :3452-3459
[2]   RECOVERY OF THE NAVIER-STOKES EQUATIONS USING A LATTICE-GAS BOLTZMANN METHOD [J].
CHEN, HD ;
CHEN, SY ;
MATTHAEUS, WH .
PHYSICAL REVIEW A, 1992, 45 (08) :R5339-R5342
[3]   On boundary conditions in lattice Boltzmann methods [J].
Chen, SY ;
Martinez, D ;
Mei, RW .
PHYSICS OF FLUIDS, 1996, 8 (09) :2527-2536
[4]   A KNUDSEN LAYER THEORY FOR LATTICE GASES [J].
CORNUBERT, R ;
DHUMIERES, D ;
LEVERMORE, D .
PHYSICA D, 1991, 47 (1-2) :241-259
[5]   Boundary-fitting and local grid refinement for lattice-BGK models [J].
Filippova, O ;
Hänel, D .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1998, 9 (08) :1271-1279
[6]   Grid refinement for lattice-BGK models [J].
Filippova, O ;
Hanel, D .
JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 147 (01) :219-228
[7]   Local second-order boundary methods for lattice Boltzmann models [J].
Ginzbourg, I ;
dHumieres, D .
JOURNAL OF STATISTICAL PHYSICS, 1996, 84 (5-6) :927-971
[8]   Multireflection boundary conditions for lattice Boltzmann models -: art. no. 066614 [J].
Ginzburg, I ;
d'Humières, D .
PHYSICAL REVIEW E, 2003, 68 (06) :666141-666143
[9]   Lattice Boltzmann model for the incompressible Navier-Stokes equation [J].
He, XY ;
Luo, LS .
JOURNAL OF STATISTICAL PHYSICS, 1997, 88 (3-4) :927-944
[10]   NON-SLIP BOUNDARY-CONDITION FOR LATTICE BOLTZMANN SIMULATIONS [J].
INAMURO, T ;
YOSHINO, M ;
OGINO, F .
PHYSICS OF FLUIDS, 1995, 7 (12) :2928-2930