Momentum transfer of a Boltzmann-lattice fluid with boundaries

被引:966
作者
Bouzidi, M [1 ]
Firdaouss, M
Lallemand, P
机构
[1] Univ Paris 11, CNRS, Lab ASCI, F-91405 Orsay, France
[2] Univ Paris 11, CNRS, Lab LIMSI, F-91405 Orsay, France
关键词
D O I
10.1063/1.1399290
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We study the velocity boundary condition for curved boundaries in the lattice Boltzmann equation (LBE). We propose a LBE boundary condition for moving boundaries by combination of the "bounce-back" scheme and spatial interpolations of first or second order. The proposed boundary condition is a simple, robust, efficient, and accurate scheme. Second-order accuracy of the boundary condition is demonstrated for two cases: (1) time-dependent two-dimensional circular Couette flow and (2) two-dimensional steady flow past a periodic array of circular cylinders (flow through the porous media of cylinders). For the former case, the lattice Boltzmann solution is compared with the analytic solution of the Navier-Stokes equation. For the latter case, the lattice Boltzmann solution is compared with a finite-element solution of the Navier-Stokes equation. The lattice Boltzmann solutions for both flows agree very well with the solutions of the Navier-Stokes equations. We also analyze the torque due to the momentum transfer between the fluid and the boundary for two initial conditions: (a) impulsively started cylinder and the fluid at rest, and (b) uniformly rotating fluid and the cylinder at rest. (C) 2001 American Institute of Physics.
引用
收藏
页码:3452 / 3459
页数:8
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