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We extend the analysis of [Zhou and Sornette, Physica D 165, 94-125, 2002]showing statistically significant log-periodic corrections to scaling in themoments of the energy dissipation rate in experiments at high Reynolds number($\approx 2500$) of three-dimensional fully developed turbulence. First, wedevelop a simple variant of the canonical averaging method using a rephasingscheme between different samples based on pairwise correlations that confirmsZhou and Sornette's previous results. The second analysis uses a simpler localspectral approach and then performs averages over many local spectra. Thisyields stronger evidence of the existence of underlying log-periodicundulations, with the detection of more than 20 harmonics of a fundamentallogarithmic frequency $f = 1.434 \pm 0.007$ corresponding to the preferredscaling ratio $\gamma = 2.008 \pm 0.006$.Comment: 9 RevTex4 papes including 8 eps figure

international journal of modern physics c

NEW EVIDENCE OF DISCRETE SCALE INVARIANCE IN THE ENERGY DISSIPATION OF THREE-DIMENSIONAL TURBULENCE: CORRELATION APPROACH AND DIRECT SPECTRAL DETECTION