3D pulsatile flow with the lattice Boltzmann BGK method

被引:46
作者
Artoli, AM [1 ]
Hoekstra, AG [1 ]
Sloot, PMA [1 ]
机构
[1] Univ Amsterdam, Fac Sci, Inst Informat, Sect Computat Sci, NL-1098 SJ Amsterdam, Netherlands
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2002年 / 13卷 / 08期
关键词
lattice Boltzmann method; unsteady flow; Womersley solution; curved boundary;
D O I
10.1142/S0129183102003826
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present detailed analysis of the accuracy of the lattice Boltzmann BGK method in simulating pulsatile flow in a 2D channel and a 3D tube. For the 2D oscillatory flow, we have observed a half time-steps shift between the theory and the simulation, that enhances the accuracy at least one order of magnitude. For 3D tube flow, we have tested the accuracy of the lattice Boltzmann BGK method in recovering the Womersley solution for pulsatile flow in a rigid tube with a sinusoidal pressure gradient. The obtained flow parameters have been compared to the analytical solutions. The influence of different boundary conditions such as the bounce-back and inlet-outlet boundary conditions on the accuracy was studied. Relative errors of the order of 0.001 in 2D with the bounce back on the nodes have been achieved. For the 3D simulations, it has been possible to reduce the error from 15% with the simple bounce-back to less than 5% with a curved boundary condition.
引用
收藏
页码:1119 / 1134
页数:16
相关论文
共 27 条
  • [21] MATTHEUS WH, 2001, INT C DISCR SIM FLUI
  • [22] An accurate curved boundary treatment in the lattice Boltzmann method
    Mei, RW
    Luo, LS
    Shyy, W
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 155 (02) : 307 - 330
  • [23] Succi S., 2001, The lattice Boltzmann equation: for fluid dynamics and beyond
  • [24] Computational modeling of arterial biomechanics
    Vorp, DA
    Steinman, DA
    Ethier, CR
    [J]. COMPUTING IN SCIENCE & ENGINEERING, 2001, 3 (05) : 51 - 64
  • [25] Fluid mechanics of vascular systems, diseases, and thrombosis
    Wootton, DM
    Ku, DN
    [J]. ANNUAL REVIEW OF BIOMEDICAL ENGINEERING, 1999, 1 : 299 - 329
  • [26] AN IMPROVED INCOMPRESSIBLE LATTICE BOLTZMANN MODEL FOR TIME-INDEPENDENT FLOWS
    ZOU, QS
    HOU, SL
    CHEN, SY
    DOOLEN, GD
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1995, 81 (1-2) : 35 - 48
  • [27] On pressure and velocity boundary conditions for the lattice Boltzmann BGK model
    Zou, QS
    He, XY
    [J]. PHYSICS OF FLUIDS, 1997, 9 (06) : 1591 - 1598