Asymptotic exponents from low-Reynolds-number flows

  title={Asymptotic exponents from low-Reynolds-number flows},
  author={J{\"o}rg Schumacher and Katepalli R. Sreenivasan and Victor Yakhot},
  journal={New Journal of Physics},
  pages={89 - 89}
The high-order statistics of fluctuations in velocity gradients in the crossover range from the inertial to the Kolmogorov and sub-Kolmogorov scales are studied by direct numerical simulations (DNS) of homogeneous isotropic turbulence with vastly improved resolution. The derivative moments for orders 0 ⩽ n ⩽ 8 are represented well as powers of the Reynolds number, Re, in the range 380 ⩽ Re ⩽ 5275, where Re is based on the periodic box length Lx. These low-Reynolds-number flows give no hint of… 

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