Statistics of the Energy Dissipation Rate in Turbulence
Velocity field statistics and the locally volume-averaged energy dissipation rate ε r in the inertial and dissipation ranges of three-dimensional, homogeneous, steady turbulent flow are studied using high-resolution direct numerical simulation (DNS) with N = 10243 grid points. The Taylor microscale Reynolds numbers are 381 and 460. The structure functions and their scaling exponents are measured and found to be anomalous. When the size of the local volume-average is between the dissipation and the inertial ranges, the body of the PDF for In ε r is very close to Gaussian; however, its tail decays faster than the Gaussian PDF, and this deviation grows with increasing volume. The scaling exponents of the moments of ε r are also examined and found to be consistent with those measured in experiments.
KeywordsStructure Function Direct Numerical Simulation Energy Dissipation Rate Inertial Range Dissipation Range
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