title: Large-scale lognormality in turbulence modeled by the Ornstein-Uhlenbeck process.
abstract: 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.
authors: Division of Physics and Astronomy, Graduate School of Science, Kyoto University, Kitashirakawa Oiwakecho Sakyoku, Kyoto 606-8502, Japan. takeshi@kyoryu.scphys.kyoto-u.ac.jp
authors: Takeshi
authors: T
authors: Matsumoto
authors: Masanori
authors: M
authors: Takaoka
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008956:Models, Chemical; D017711:Nonlinear Dynamics; D012212:Rheology / Q000379:methods*