Wavelet based model for small-scale turbulence

Valery Zimin, Fazle Hussain

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

Using a vector wavelet decomposition of the velocity field a simple model for locally isotropic turbulence has been derived from the Navier-Stokes equation (NSE). This model, which involves no empirical or ad hoc parameter, incorporates nonlocal interscale interactions, reveals backscatter and can be applied to represent small-scale turbulence in LES schemes. The model gives a stationary solution which corresponds to k-5/3 Kolmogorov spectrum. Moreover, the model equations produce k4 infrared spectrum from an initial energy peak at intermediate scales.

Original languageEnglish
Pages (from-to)2925-2927
Number of pages3
JournalPhysics of Fluids
Volume7
Issue number12
DOIs
StatePublished - 1995

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