LES 分辨率规划器

比较网格间距、Kolmogorov 尺度与 Smagorinsky SGS 黏性，可视化 LES/DNS 可行性。

visual calculator湍流与壁面建模

先看流动形态，再相信数字。

该工具把 CFD 设置转换为工况、尺度和主导效应提示。调节下方计算器，观察动态图与计算结果如何一起变化。

输入尺度

模型

判断

LESDNSSmagorinskyKolmogorovmesh

公式

KaTeX rendered

\begin{aligned}\text{Delta = (dx dy dz)\^{}(1/3)}\\[0.35em]\text{eta = (nu\^{}3/epsilon)\^{}(1/4)}\\[0.35em]\text{nu\_sgs = (Cs Delta)\^{}2 |S|}\end{aligned}

ASCII source

Delta = (dx dy dz)^(1/3), eta = (nu^3/epsilon)^(1/4), nu_sgs = (Cs Delta)^2 |S|

nu (m^2/s)epsilon (m^2/s^3)dx (m)dy (m)dz (m)|S| (1/s)C_sfilter width

Delta (m)

0.0016

eta (m)

0.0004

Delta / eta

4.10

nu_sgs / nu

0.58

nu_sgs (m^2/s)

8.739e-6

tau_eta (s)

0.0100

u_eta (m/s)

0.0387

verdict

wall-resolved LES candidate

The geometric filter uses Delta = (dx dy dz)^(1/3). The max-spacing option is more conservative for stretched cells. Treat this as a planning sanity check, not a replacement for spectra, resolved kinetic energy, or grid-convergence evidence.

LES DNS Smagorinsky Kolmogorov mesh