BOTTLENECK EFFECTS IN TURBULENCE - SCALING PHENOMENA IN R-SPACE VERSUS P-SPACE

We (analytically) calculate the energy spectrum corresponding to various experimental and numerical turbulence data analyzed by Benzi et al. We find two bottleneck phenomena: While the local scaling exponent r(r) of the structure function decreases monotonically, the local scaling exponent p(p) of the corresponding spectrum has a minimum of p(pmin) 0.45 at pmin(10)-1 and a maximum of p(pmax)0.77 at pmax 8L-1. A physical argument starting from the constant energy flux in p space reveals the general mechanism underlying the energy pileups at both ends of the p-space scaling range. In the case studied here, they are induced by viscous dissipation and the reduced spectral strength on the scale of the system size, respectively. © 1995 The American Physical Society.