Turbulence & Symmetries

Seriously Flawed, including Mathematical Errors, Inconsistent Results & Non-Reproducible Figures The following publication by Sadeghi, Oberlack & Gauding (2018) is flawed and non-reproducible: On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation https://doi.org/10.1017/jfm.2018.625 Details are given in  https://publons.com/publon/3075841/#review-3087670 and  https://www.researchgate.net/publication/328080340 The latter provides a full correction to Sadeghi et al. (2018). Note that JFM has the obscure policy not to publish any Comments on any of their articles.

Misleading & Flawed Results The following publication by Grebenev, Waclawczyk & Oberlack (2017) is flawed: Conformal invariance of the Lungren-Monin-Novikov equations for vorticity fields in 2D turbulence https://doi.org/10.1088/1751-8121/aa8c69 Details and corrections are given in  https://arxiv.org/abs/1802.02490

Misleading Results The following publication by Waclawczyk, Grebenev & Oberlack (2017) is misleading: Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow https://doi.org/10.1088/1751-8121/aa62f4 Details are given in  https://arxiv.org/abs/1710.00669

Seriously Misleading & Flawed, including Mathematical Errors & Inconsistent Conclusions The following publication by Waclawczyk & Oberlack (2016) is seriously flawed: Symmetry analysis and invariant solutions of the multipoint infinite systems describing turbulence https://doi.org/10.1088/1742-6596/760/1/012038 Details and corrections are given in  https://www.researchgate.net/publication/311285232

Seriously Misleading & Flawed, including Mathematical Errors & Inconsistent Conclusions The following publication by Waclawczyk, Janocha & Oberlack (2016) is seriously flawed: Reply to Frewer et al. Comments on Janocha et al. Lie Symmetry Analysis of the Hopf Functional-Differential Equation. Symmetry 2015, 7, 1536–1566 http://dx.doi.org/10.3390/sym8040024 Details and corrections are given in https://www.researchgate.net/publication/301553065

Misleading & Flawed, including Mathematical Errors & Inconsistent Conclusions The following publication by Waclawczyk & Oberlack (2016) is flawed: Response to “Comment on ‘Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation’ ” [J. Math. Phys. 57, 034102 (2016)] http://aip.scitation.org/doi/abs/10.1063/1.4944424 Details and corrections are given in  https://www.researchgate.net/publication/299368809

Misleading & Flawed, including Mathematical Errors & Inconsistent Conclusions The following publication by Waclawczyk & Oberlack (2015) is flawed: Reply to “Comment on ‘Statistical symmetries of the Lundgren-Monin-Novikov hierarchy’ ” https://doi.org/10.1103/PhysRevE.92.067002 Details and corrections are given in  https://www.researchgate.net/publication/287996194 and  https://arxiv.org/abs/1602.08039 and  https://arxiv.org/abs/1412.6949

Seriously Misleading & Flawed, including Mathematical Errors & Inconsistent Inferences, as well as Conclusions not matching Results & Non-Reproducible Figures The following review by Oberlack, Waclawczyk, Rosteck & Avsarkisov (2015) is seriously flawed: Symmetries and their importance for statistical turbulence theory https://doi.org/10.1299/mer.15-00157 Details and corrections are given in  https://zenodo.org/record/1101198#.WlPROGeUhaQ and  https://zenodo.org/record/1204407#.WrFFaWrOVaQ and  https://zenodo.org/record/1204432#.WrFFvGrOVaQ Please also see the detailed Review  https://publons.com/publon/1636179/#review-1575480

Seriously Flawed, including Mathematical Errors & Inconsistent Results The following publication by Janocha, Waclawczyk & Oberlack (2015) is seriously flawed: Lie symmetry analysis of the Hopf functional-differential equation http://dx.doi.org/10.3390/sym7031536 Details and corrections are given in  http://dx.doi.org/10.3390/sym8040023 and more comprehensively in  https://zenodo.org/record/1204432#.WrE_HWrOVaQ

Seriously Misleading & Flawed The following publication by Waclawczyk, Staffolani, Oberlack, Rosteck, Wilczek & Friedrich (2014) is seriously misleading and flawed: Statistical symmetries of the Lundgren-Monin-Novikov hierarchy https://doi.org/10.1103/PhysRevE.90.013022 Details and corrections are given in  https://doi.org/10.1103/PhysRevE.92.067001 and more comprehensively in  https://zenodo.org/record/1204407#.WrFGJ2rOVaQ

Seriously Flawed, including Inconsistent Results and Non-Reproducible Figures The following JFM publication by Avsarkisov, Oberlack & Hoyas (2014) is flawed and non-reproducible: New scaling laws for turbulent Poiseuille flow with wall transpiration https://doi.org/10.1017/jfm.2014.98 Details and corrections are given in  https://arxiv.org/abs/1606.08396 Note that JFM has the obscure policy not to publish any Comments on any of their articles.

Misleading & Flawed The following publication by Waclawczyk & Oberlack (2013) is misleading and flawed: Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation http://aip.scitation.org/doi/abs/10.1063/1.4812803 Details and corrections are given in  http://aip.scitation.org/doi/abs/10.1063/1.4940357 and more comprehensively in  https://zenodo.org/record/1204426#.WrFGdWrOVaQ

Misleading Results The following publication by Oberlack & Zieleniewicz (2013) is misleading: Statistical symmetries and its impact on new decay modes and integral invariants of decaying turbulence http://www.tandfonline.com/doi/abs/10.1080/14685248.2012.759229 Details are given in  https://arxiv.org/abs/1412.3061 and more comprehensively in  https://zenodo.org/record/1101198#.WlNejmeUhaQ

Misleading Results The following publication by Oberlack & Rosteck (2010) is misleading: New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws http://aimsciences.org/article/doi/10.3934/dcdss.2010.3.451 Details are given in  https://arxiv.org/abs/1412.3061 and more comprehensively in  https://zenodo.org/record/1101198#.WlNejmeUhaQ

Misleading & Flawed: Mathematical Errors & Inconsistent and Non-Reproducible Conclusions The following JFM publication by Oberlack, Cabot, Pettersson-Reif & Weller (2006) is misleading and flawed, both numerically and analytically: Group analysis, direct numerical simulation and modelling of a turbulent channel flow with streamwise rotation https://doi.org/10.1017/S0022112006001121 Details and corrections are given in https://arxiv.org/abs/1609.08155 Note that JFM has the obscure policy not to publish any Comments on any of their articles.

Misleading Results The analytical result on the new third scaling group in the publication by Khujadze & Oberlack (2004) is misleading: DNS and scaling laws from new symmetry groups of ZPG turbulent boundary layer flow https://doi.org/10.1007/s00162-004-0149-x Details are given in  https://arxiv.org/abs/1412.3061 and more comprehensively in  https://zenodo.org/record/1101198#.WlNejmeUhaQ

Misleading & Flawed The following publication by Oberlack, Wenzel & Peters (2001) is misleading and flawed: On symmetries and averaging of the G-equation for premixed combustion http://www.tandfonline.com/doi/abs/10.1088/1364-7830/5/3/307 Details are given in  http://journals.sagepub.com/doi/abs/10.1260/1756-8277.2.4.301 See also the Review published at Publons:  https://publons.com/publon/18141606/#review-4089011

Seriously Flawed, including Mathematical Errors & Conclusions that do not match Results The following JFM publication by Oberlack (1999) is seriously flawed: Similarity in non-rotating and rotating turbulent pipe flows https://doi.org/10.1017/S0022112098001542 Details and corrections are given in the Comment  https://arxiv.org/abs/1412.3069 Note that JFM has the obscure policy not to publish any Comments on any of their articles.