Abstract
The present study deals with a model for 3D turbulence which is based on a fractal set ink-space (massM(k)∼logk, i.e.df=0). The energy spectrumE(k) is calculated by a method similar to the Monte Carlo renormalization technique of Ma [1]. To apply this we decouple the set into next-neighbour pairs of energy shells.Ek is calculated iteratively by simulating the pairs. Their rough scales are forced and their fine scales are damped by an eddy viscosityνe. We start in the viscous range whereνe is neglected. An intertial range shows up with a spectrumE(k)∼k−α, α=1.68±0.07, and an eddy viscosityνe(k)∼k-σ,σ=1.3±. The possible benefit for the simulation of turbulent flows is pointed out.
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