Large-scale lognormality in turbulence modeled by the Ornstein-Uhlenbeck process
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Lognormality was found experimentally for coarse-grained squared turbulence velocity and velocity increment when the coarsening scale is comparable to the correlation scale of the velocity [ Mouri et al. Phys. Fluids 21 065107 (2009)]. We investigate this large-scale lognormality by using a simple stochastic process with correlation, the Ornstein-Uhlenbeck (OU) process. It is shown that the OU process has a similar large-scale lognormality, which is studied numerically and analytically.
- Physical Review E
Physical Review E 87(1), 2013-01
American Physical Society