关于chapmann-enskog展开问题的请教，谢谢大家

k15823084563

最近开始学习格子Boltzmann方法的基本原理，但无奈数学底子较薄。在看到对Boltzmann方程的chapmann-enskog展开时，Σeαieαjfeq和Σeαieαjeαjfeq类似式子的运算得到的结果有点搞不懂（如何雅玲老师编写的《格子Boltzmann方法的理论及应用》里的P54式3.144），请问各位知道什么文献有关于这两个式子的详细计算或者说明一下它们的计算过程，谢谢大家了。

luo@odu.edu

1) the components of each discrete velocity, e_{\alpha, i}, is known, so for a Q-velocity model (say, D2Q9 or D3Q15), there are Q terms which can be EXPLICITLY written out
and then summed.

2) You will be better offer not to read any LBE books. Go get an introductory book on Boltzmann equation and read that. You may learn something that way.

k15823084563

非常感谢。您说的关于Boltzmann 方程的介绍书籍是指气体输运或稀薄气体动力学方面的书吗

k15823084563

非常感谢。请问您说的关于Boltzmann 方程的介绍书籍是指气体输运或稀薄气体动力学方面的书吗

luo@odu.edu

YES. Also, Prof. ZL Guo published some book(s), which might be easier for you. There are also papers on asymptotic analysis of LBE, which can be of help.

[ 本帖最后由 luo@odu.edu 于 2013-8-2 13:49 编辑 ]