角点处的处理方法

zqb138

想请教关于在角点处标准反弹格式的处理方法
如图wall corner，f0,f3,f4,f7可以由平移步得到，剩下的f1,f2,f5,f6,f8如何处理呢？

图wall corner1，除f5外都可平移得到，那么f5怎么处理？

[ 本帖最后由 zqb138 于 2013-9-22 05:38 编辑 ]

zqb138

补充一下，我处理的问题在壁面是滑移边界条件，即U_n=0

luo@odu.edu

your picture is not quite right to begin with. The bounce-back BCs and most variations CANNOT impose the flow BCs on nodes. The BCs are satisfied at the location which are some distance away from the last fluid node, depending on what model you use (LBGK, MRT, etc.). To address this problem you may have to use the MRT-LBE which can control the problem. A discussion of this is given in the following paper and refs. therein:

L.-S. Luo, W. Liao, X. Chen, Y. Peng, and W. Zhang.
Numerics of the lattice Boltzmann method: Effects of collision models on the lattice Boltzmann simulations.
Physical Review E 83(5):056710 (May 2011).

zqb138

不是很明白，刚开始接触这个LBM，看书上标准镜面反弹格式就是这样在边界节点上处理的呀，我还是个初学者，望见谅，罗老师所说的是不是修正反弹格式或者半步长反弹格式，我想先用标准镜面反弹格式尝试一下在边界节点上处理，罗老师指点一下该怎么处理那些未知的分布函数。

luo@odu.edu

Please read the paper.