- 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 (εa, ya, x and the transverse direction y (εa, 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 ε4x correlates best with ε while εiso and εhom 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
- Rights
- © American Institute of Physics
- Language
- eng
- Full Text
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