Acceleration Statistics as Measures of Statistical Persistence of Streamlines in Isotropic Turbulence
S. Goto, D. R. Osborne, J. C. Vassilicos, J. D. Haigh
Abstract
We introduce the velocity (Vs) of stagnation points as a means to characterise and measure statistical persistence of streamlines. Using theoretical arguments, Direct Numerical Simulations (DNS) and Kinematic Simulations (KS) of three-dimensional isotropic turbulence for different ratios of inner to outer length scales L/eta of the self-similar range, we show that a frame exists where the average <Vs>=0, that the r.m.s. values of acceleration (a'), turbulent fluid velocity (u') and Vs are related by La'/(u'2) ~ (Vs/u')(L/eta)(2/3+q) and that Vs/u' ~ (L/eta)q with q=-1/3 in Kolmogorov turbulence, q=-1/6 in current DNS and q=0 in our KS. The statistical persistence hypothesis is closely related to the Tennekes sweeping hypothesis.
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