A mass conserving boundary condition for the lattice Boltzmann method for tangentially moving walls

被引：12
|
作者：
Le Coupanec, Erwan [1 ]
Verschaeve, Joris C. G. [1 ]
机构：
[1] Norwegian Univ Sci & Technol, Dept Energy & Proc Engn, N-7491 Trondheim, Norway
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2011年 / 81卷 / 12期
关键词：
Numerical stability; Mass conservation; Numerical accuracy;
D O I：
10.1016/j.matcom.2011.05.004
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In the present discussion a no-slip boundary condition or walls with a tangential movement is derived. The resulting closure is local, conserves mass exactly and is second order accurate with respect to the grid spacing. In addition it avoids the numerical instabilities observed for other types of boundary conditions. Therefore the resulting boundary condition is stable for relaxation frequencies close to two. The present boundary condition is verified for Couette flow, half Poiseuille flow, the second problem of Stokes and flow in a lid-driven square cavity. (c) 2011 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：2632 / 2645
页数：14
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