Self-similar scaling in decaying numerical turbulence

2003/12/31 by Tarek A. Yousef, Nils Erland L. Haugen, Axel Brandenburg
Physics and Astronomy · #astro-ph #nlin.CD #physics.flu-dyn

paper · pdf · doi:10.1103/physreve.69.056303

published as Phys.Rev. E69 (2004) 056303 · 8 pages, 9 figures. Published in PRE

arxiv created 2004/05/24 · arxiv updated 2009/12/01

Abstract

Decaying turbulence is studied numerically using as initial condition a random flow whose shell-integrated energy spectrum increases with wavenumber k like k^q. Alternatively, initial conditions are generated from a driven turbulence simulation by simply stopping the driving. It is known that the dependence of the decaying energy spectrum on wavenumber, time, and viscosity can be collapsed onto a unique scaling function that depends only on two parameters. This is confirmed using three-dimensional simulations and the dependence of the scaling function on its two arguments is determined.

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