Intermittency exponents and generalized dimensions of a directly simulated fully developed turbulence

The qth-order intermittency exponents and generalized dimensions of isotropic turbulence are calculated for ‖q‖≤30 with possible error bounds based on the data of the direct numerical simulation, which was recently executed on the 1283 grid of a supercomputer to investigate a decaying isotropic turbulence. The intermittency exponents are compared with the theoretical and experimental values known thus far. The corresponding f-α spectrum is also presented and compared with the p model.