Predictability of the energy cascade in 2D turbulence
G. Boffetta, S. Musacchio
Abstract
The predictability problem in the inverse energy cascade of two-dimensional turbulence is addressed by means of direct numerical simulations. The growth rate as a function of the error level is determined by means of a finite size extension of the Lyapunov exponent. For error within the inertial range, the linear growth of the error energy, predicted by dimensional argument, is verified with great accuracy. Our numerical findings are in close agreement with the result of TFM closure approximation.
Create a lesson
Related papers
A Second-Order Asymptotic Expansion for Nonlinear Filtering in the Lorenz--63 System
Masahiro Kurisaki, Kota Takeda
Heterogeneity-induced chaos in globally coupled Stuart--Landau oscillators
Luekai Zhao, Nariya Uchida
Adiabatic confinement and escape in an open billiard
Matheus Rolim Sales, Leonardo Costa de Souza, Ricardo Luiz Viana et al.
A Renormalization-Group Hierarchy of Stochastic Effective Dynamics Learned through Path Integrals
Yuki Yasuda, Tobias Bischoff
ETM-3D: A One-Parameter Multistable Quadratic Flow with an Explicit Absorbing Set and Intermittent Chaos
Roya Khalili-Amirabadi, Mohsen Jalaeian-Farimani
Influence of astrocyte feedback and noise on breathing neural clusters
Ediline L. F. Nguessap, Thierry Njougouo, Fernando F. Ferreira