Self-similar scaling in decaying numerical turbulence.
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.
Yousef
Tarek A
TA
Department of Energy and Process Engineering, Norwegian University of Science and Technology, Kolbjørn Hejes vei 2B, N-7491 Trondheim, Norway. Tarek.Yousef@mtf.ntnu.no
Haugen
Nils Erland L
NE
Brandenburg
Axel
A