Statistical Properties of Velocity Increments in Two-Dimensional Turbulence
The multiple-point probability density f(v1, r1; v2, r2; ...vN, rN ) of velocity increments vi at different length scales ri is investigated in a direct numerical simulation of two-dimensional turbulence. It has been shown for experimental data of three-dimensional turbulence, that this probability density can be represented by conditional probability densities in form of a Markov chain . We have extended this analysis to the case of two-dimensional forced turbulence in the inverse cascade regime.
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