Symmetry (2020)

Misleading & Flawed Results

The following publication by Waclawczyk, Grebenev & Oberlack (2020) is misleading and flawed:
Conformal invariance of characteristic lines in a class of hydrodynamic models 
https://doi.org/10.3390/sym12091482

Details and corrections are given in 
https://doi.org/10.5281/zenodo.6228153

Popular posts from this blog

Symmetries and turbulence modeling

Published in  Physics of Fluids, 2020  by Klingenberg, Oberlack & Pluemacher. This publication is seriously misleading and flawed. All details and corrections are given in  https://arxiv.org/abs/2008.08580 , and more comprehensively in  https://doi.org/10.5281/zenodo.4275736 .
Read more

On the optimal systems of subalgebras for the equations of hydrodynamic stability analysis of smooth shear flows and their group-invariant solutions

Published in Journal of Mathematical Physics, 2017 by Hau, Oberlack & Chagelishvili. Apart from several technical mistakes and inconsistencies (please see Sec.4 in https://arxiv.org/abs/1712.03105 ), this study, initiated and supervised by M. Oberlack, is seriously misleading. Their claim that they have derived "a generalized approach" to stability analysis for unbounded shear flow that "unites both – the nonmodal (Kelvin mode) and the modal – approaches" for which "the class of solutions is much wider than the well-known Kelvin and modal solutions" is not correct and therefore misleading. First, their self-defined "modal approach" and "Kelvin mode approach" are complementary approaches, namely in being a pure temporal and a pure spatial approach respectively, which exclude each other and which therefore cannot be "united" into a single universal approach — this flaw is discussed in detail in Sec.4.2 in https://arxiv....
Read more