Coherent large-scale structures from the linearized Navier-Stokes equations
Anagha Madhusudanan, Simon J Illingworth, Ivan Marusic
Journal of Fluid Mechanics | Cambridge University Press (CUP) | Published : 2019
The wall-normal extent of the large-scale structures modelled by the linearized Navier–Stokes equations subject to stochastic forcing is directly compared to direct numerical simulation (DNS) data. A turbulent channel flow at a friction Reynolds number of 𝜏Re𝜏=2000 is considered. We use the two-dimensional (2-D) linear coherence spectrum (LCS) to perform the comparison over a wide range of energy-carrying streamwise and spanwise length scales. The study of the 2-D LCS from DNS indicates the presence of large-scale structures that are coherent over large wall-normal distances and that are self-similar. We find that, with the addition of an eddy viscosity profile, these features of the large..View full abstract
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Awarded by Australian Research Council
The authors are grateful for the financial support of the Australian Research Council. We would also like to thank the Fluid Dynamics Group of the Polytechnic University of Madrid (UPM) for the DNS dataset of Encinar et al. (2018) and Dr W. J. Baars for helpful discussions regarding this work.