Statistics of the turbulent kinetic energy dissipation rate and its surrogates in a square cylinder wake flow

Lefeuvre, N.; Thiesset, F.; Djenidi, L.; Antonia, R. A.

Title: Statistics of the turbulent kinetic energy dissipation rate and its surrogates in a square cylinder wake flow
Creator: Lefeuvre, N.; Thiesset, F.; Djenidi, L.; Antonia, R. A.
Relation: Physics of Fluids Vol. 26, Issue 9
Publisher Link: http://dx.doi.org/10.1063/1.4895637
Publisher: American Institute of Physics
Resource Type: journal article
Date: 2014
Description: A numerical simulation based on the lattice Boltzmann method is carried out in the wake of a square cylinder with the view to investigating possible surrogates for the instantaneous turbulent kinetic energy dissipation rate, ε, as well as its mean value, ε¯ . Various surrogate approximations of ε, based on local isotropy (ε_{a, ya, x} and the transverse direction y (ε_{a, yhom}) and homogeneity in the transverse plane, (ε ), are assessed. All the approximations are in agreement with ε¯ when the distance downstream of the obstacle is larger than about 40 diameters. Closer to the obstacle, the agreement remains reasonable only for ε¯_a,x , ε¯_hom and ε¯_4x. The probability density functions (PDF) and joint PDFs of ε and its surrogates show that ε_4x correlates best with ε while ε_iso and ε_hom present the smallest correlation. The results indicate that ε4x is a very good surrogate for ε and can be used for correctly determining the behaviour of ε.
Subject: lattice Boltzmann methods; large eddy simulations; probablility density functions; Reynolds stress modeling
Identifier: http://hdl.handle.net/1959.13/1062017
Identifier: uon:17032
Identifier: ISSN:1070-6631
Language: eng
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