2004/04/23 by Bruce R. Pearson, Tarek A. Yousef, Nils Erland L. Haugen +2
Physics and Astronomy · #physics.flu-dyn #astro-ph
paper · pdf · doi:10.1103/physreve.70.056301
published as Phys.Rev. E70 (2004) 056301 · 7 pages, 7 figures. Submitted to Phys. Rev. E
arxiv created 2004/04/23 · arxiv updated 2009/12/01
The dimensionless kinetic energy dissipation rate Cepsilon is estimated from numerical simulations of statistically stationary isotropic box turbulence that is slightly compressible. The Taylor microscale Reynolds number Relambda range is 20 < Relambda < 220 and the statistical stationarity is achieved with a random phase forcing method. The strong Relambda dependence of Cepsilon abates when Relambda approx. 100 after which Cepsilon slowly approaches approx 0.5 a value slightly different to previously reported simulations but in good agreement with experimental results. If Cepsilon is estimated at a specific time step from the time series of the quantities involved it is necessary to account for the time lag between energy injection and energy dissipation. Also, the resulting value can differ from the ensemble averaged value by up to +-30%. This may explain the spread in results from previously published estimates of Cepsilon.