根据数据,在湍流中结构函数的存在和缩放
On the existence and scaling of structure functions in turbulence according to the data
Alex Arenas and Alexandre Chorin
arXiv
2006年1月26日
我们采样一个具有惯性光谱和与实验数据相匹配的偏斜的速度场。 特别是,我们计算对Kolmogorov指数的自一致校正,并发现对于我们的模型,它是零。 我们发现,较高的订单结构功能因大于某个阈值的订单而存在差异,正如最近一些工作中的理论所分析的那样。 综述结果对同质湍流统计理论的意义。
We sample a velocity field that has an inertial spectrum and a skewness that matches experimental data. In particular, we compute a self-consistent correction to the Kolmogorov exponent and find that for our model it is zero. We find that the higher order structure functions diverge for orders larger than a certain threshold, as theorized in some recent work. The significance of the results for the statistical theory of homogeneous turbulence is reviewed.