Reviews

2022 - Physics of Fluids: Statistically invariant eddy viscosity models

2022 - European Journal of Applied Mathematics: On the Lie symmetries of characteristic function hierarchy in compressible turbulence

2022 - Physical Review Letters: Turbulence statistics of arbitrary moments of wall-bounded shear flows: A symmetry approach

2021 - Physical Review Fluids: Conformal invariance of the 1-point statistics of the zero-isolines of 2d scalar fields in inverse turbulent cascades

2021b - Journal of Fluid Mechanics: New symmetry-induced scaling laws of passive scalar transport in turbulent plane jets

2021a - Journal of Fluid Mechanics: New scaling laws for turbulent Poiseuille flow with wall transpiration – CORRIGENDUM

2021b - Journal of Physics A: Reply to Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence

2021a - Journal of Physics A: Reply to Conformal invariance of the Lundgren-Monin-Novikov equations for vorticity fields in 2D turbulence

2020 - Journal of Fluid Mechanics: New scaling laws of passive scalar with a constant mean gradient in decaying isotropic turbulence 

2020 - Symmetry: Conformal invariance of characteristic lines in a class of hydrodynamic models

2020 - Physics of Fluids: Symmetries and turbulence modeling

2019 - Journal of Physics A: Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence

2019 - Springer Proceedings in Physics: Symmetry-based turbulence modeling

2018 - Journal of Fluid Mechanics: On new scaling laws in a temporally evolving turbulent plane jet using Lie symmetry analysis and direct numerical simulation 

2017 - Journal of Mathematical Physics: On the optimal systems of subalgebras for the equations of hydrodynamic stability analysis of smooth shear flows and their group-invariant solutions 

2017b - Journal of Physics A: Conformal invariance of the Lungren-Monin-Novikov equations for vorticity fields in 2D turbulence

2017a - Journal of Physics A: Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow

2017 - Journal of Fluid Mechanics: Euler and Navier-Stokes equations in a new time-dependent helically symmetric system

2016 - Journal of Physics: Symmetry analysis and invariant solutions of the multipoint infinite systems describing turbulence.

2016 - Symmetry: Reply to Lie symmetry analysis of the Hopf functional-differential equation

2016 - Journal of Mathematical Physics: Reply to Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation

2015 - Physical Review E: Reply to Statistical symmetries of the Lundgren-Monin-Novikov hierarchy

2015 - Symmetry: Lie symmetry analysis of the Hopf functional-differential equation

2015 - Mechanical Engineering Reviews: Symmetries and their importance for statistical turbulence theory 

2014 - Physical Review E: Statistical symmetries of the Lundgren-Monin-Novikov hierarchy

2014 - Journal of Fluid Mechanics: New scaling laws for turbulent Poiseuille flow with wall transpiration

2013 - Journal of Mathematical Physics: Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation

2013 - Journal of Turbulence: Statistical symmetries and its impact on new decay modes and integral invariants of decaying turbulence  

2011 - Journal of Physics: Applications of the new symmetries of the multi-point correlation equations

2011 - Communications in Nonlinear Science and Numerical Simulation: On a class of SGS filters for LES with shape preserving concatenation properties 

2010 - Discrete and Continuous Dynamical Systems: New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws 

2006 - Journal of Fluid Mechanics: Group analysis, direct numerical simulation and modelling of a turbulent channel flow with streamwise rotation 

2001 - Combustion Theory and Modelling: On symmetries and averaging of the G-equation for premixed combustion

2001 - Journal of Fluid Mechanics: A unified approach for symmetries in plane parallel turbulent shear flows

1999 - Journal of Fluid Mechanics: Similarity in non-rotating and rotating turbulent pipe flows

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

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