论文标题
仔细研究基于非模型对称方法时，预测任意矩的湍流统计数据
A closer look at predicting turbulence statistics of arbitrary moments when based on a non-modelled symmetry approach
论文作者
论文摘要
Oberlack等人最近的一封信。 [物理。莱特牧师。 128，024502（2022）]声称已得出了湍流通道流的非模型统计纳维尔 - 斯托克斯方程的新对称性诱导的解决方案。在通道中心的区域和靠近墙壁附近的惯性sublayer中，都介绍了与DNS数据的高精度匹配，直到第6阶的所有流瞬间都呈现。在这里，我们将证明该研究的发现和结论具有很大的误导，因为它们给人的印象是已经取得了湍流研究的显着突破。但是，不幸的是，情况并非如此。除了微不足道和误导性的方面外，我们还将证明，即使基本的湍流相关性也无法使用拟议的对称性诱导的缩放定律，因为雷诺的压力不能适合数据。 Oberlack等人使用的Lie-Group对称方法。无法绕过湍流的封闭问题。它只是另一种基于假设的方法，它需要建模，并且并非正如所声称的那样，它直接导致解决方案。在PRL旁边，Oberlack等人的另外两篇论文。被要求进行校正或撤回。
A recent Letter by Oberlack et al. [Phys. Rev. Lett. 128, 024502 (2022)] claims to have derived new symmetry-induced solutions of the non-modelled statistical Navier-Stokes equations of turbulent channel flow. A high accuracy match to DNS data for all streamwise moments up to order 6 is presented, both in the region of the channel-center and in the inertial sublayer close to the wall. Here we will show that the findings and conclusions in that study are highly misleading, as they give the impression that a significant breakthrough in turbulence research has been achieved. But, unfortunately, this is not the case. Besides trivial and misleading aspects, we will demonstrate that even basic turbulence-relevant correlations as the Reynolds-stress cannot be fitted to data using the proposed symmetry-induced scaling laws. The Lie-group symmetry method as used by Oberlack et al. cannot bypass the closure problem of turbulence. It is just another assumption-based method that requires modelling and is not, as claimed, a first-principle method that leads directly to solutions. Next to PRL, two more papers by Oberlack et al. are called out for correction or a retraction.
