Statistical Properties of Velocity Increments in Two-Dimensional Turbulence
The multiple-point probability density f(v 1, r 1; v 2, r 2; ...v N , r N ) of velocity increments v i at different length scales r i 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.
KeywordsDirect Numerical Simulation Markov Property Inertial Range Velocity Increment Conditional Probability Density
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