ANISOTROPY AND SCALING CORRECTIONS IN TURBULENCE

We analyze second-order turbulent velocity moments both in r and inp s pace. Finite size corrections induce dramatic differences between loca l r- and p-space scaling exponents. As analytically accessible example s we focus on two popular parametrizations: the Batchelor parametrizat ion for the r-space structure function and a common parametrization fo r the energy spectrum, E(p)(proportional to)p-(5/3)exp(-p/p(d)) The sp ectral bottleneck energy pileup hidden in the Batchelor parametrizatio n results in an extended r-space scaling range, comparable to experime ntal ones for the same Taylor-Reynolds number Re-lambda. Shear effects are discussed in terms of (global) apparent scaling correction delta zeta(app)(Re-lambda) to classical scaling, which again depend on wheth er looked at in r or in p space. The differences can be traced back to the subtleties of the crossovers in the velocity moments. Our observa tions emphasize the need for more experimental information on crossove rs between different subranges.