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一般问题每个格子尺度多大啊?10^-4m可以吗?

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发表于 2014-4-17 19:49:27 | 显示全部楼层 |阅读模式

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初学者求解答!
发表于 2014-4-19 23:29:55 | 显示全部楼层
You should consider the grid Reynolds number for direct numerical simulation (DNS), i.e.,

Re* = \delta x U / \nu

where \delta x, U, \nu are grid spacing size, the characteristic velocity, and the viscosity, respectively. Re* should be small (less than 1.0??). Looking at the grid size in absolute, physical unit in isolation is not a good practice. That is why the Navier-Stokes equation has to be nondimensionalized, to include the Reynolds number Re.

-- L.-S. Luo
 楼主| 发表于 2014-4-20 09:17:39 | 显示全部楼层

回复 2# luo@odu.edu 的帖子

可是如果研究粘性很大的液体导热问题时,液体几乎是静止的,Re接近于零啊,网格又该画多大合适呢
发表于 2014-4-21 01:34:32 | 显示全部楼层

回复 3# 3.14布 的帖子

If the problem involves heat transfer, then one must consider the Rayleigh number Ra, the grid spacing must be small enough to resolve the thermal boundary layer. See the following paper:

J. Wang, D.H. Wang, P. Lallemand, and L.-S. Luo.
Lattice Boltzmann simulations of thermal convective flows in two dimensions.
Computers and Mathematics with Applications 65(2):262-286 (January 2013)

which you can download from my website (http://www.lions.odu.edu/~lluo).

-- LSL

[ 本帖最后由 luo@odu.edu 于 2014-4-21 01:36 编辑 ]
 楼主| 发表于 2014-4-27 10:48:00 | 显示全部楼层

回复 4# luo@odu.edu 的帖子

谢谢您
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