In this paper, a constrained large-eddy simulation (C-LES) model is used to simulate
passive scalar in turbulent flows. The coefficients of the dynamic mixed nonlinear model …

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 …

The present paper shows that local similarity theories, proposed for the strongly-stratified
boundary layers, can be derived as invariant solutions defined under the Lie-group theory. A …

The advection and mixing of a scalar quantity by fluid flow is an important problem in
engineering and natural sciences. The statistics of the passive scalar exhibit complex …

The geometric methods have experienced a fast growth in the past few decades. In this
survey, we discuss the use of Lie groups in continuum mechanics. We address both the …

A brief fact-check is presented to a seminar [INI, 23rd March 2022] recently held by M.
Oberlack on symmetries and its applications to turbulence. The seminar was part of the …

In the study by Sadeghi & Oberlack [JFM 899, A10 (2020)] it is claimed that new scaling laws
are derived for the case of passive scalar dynamics under the influence of a constant mean …

We compute the Lie symmetries of characteristic function (CF) hierarchy of compressible
turbulence, ignoring the effects of viscosity and heat conductivity. In the probability density …

This thesis analyzes a high Reynolds number, axisymmetric, turbulent pipe flow for the
purpose of developing a turbulence model that describes the mean velocity and two-point …