2012/05/30 by Ferrazzano, Vincenzo, Klüppelberg, Claudia
#Data Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Statistics and Probability (physics.data-an)
paper · doi:10.48550/arxiv.1205.6614
A general model for stationary, time-wise turbulent velocity is presented and discussed. This approach, inspired by modeling ideas of Barndorff-Nielsen and Schimgel, is coherent with the K41 hypothesis of local isotropy, and it allows us to separate second-order statistics from higher order ones. The model can be motivated by Taylor's hypothesis and a relation between time and spatial spectra. Second order statistics are used to separate the deterministic kernel function and the weakly stationary driving noise. A non-parametric estimation method for the turbulence intermittency is suggested.