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Self-similar scaling in decaying numerical turbulence
Tarek A Yousef1, Nils Erland L Haugen, Axel Brandenburg
1Department of Energy and Process Engineering, Norwegian University of Science and Technology, Kolbjørn Hejes vei 2B, N-7491 Trondheim, Norway. Tarek.Yousef@mtf.ntnu.no
Abstract:
Decaying turbulence is studied numerically using as initial condition a random flow whose shell-integrated energy spectrum increases with wave number 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 wave number, 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.