Inverse cascade in Charney-Hasegawa-Mima turbulence
Dipartimento di Fisica Generale, Università di Torino
Via Pietro Giuria 1, 10125 Torino, Italy
2 INFM Sezione di Torino Università - Corso Raffaello 30, 10125 Torino, Italy
Accepted: 12 June 2002
The inverse energy cascade in the Charney-Hasegawa-Mima turbulence is investigated. The Kolmogorov law for the third-order velocity structure function is derived and shown to be independent of the parameter λ, at variance with the energy spectrum, as shown by high-resolution direct numerical simulations. In the asymptotic limit of strong rotation, , the Kolmogorov constant is found to be while coherent vortices are observed to form at a dynamical scale which slowly grows with time. These vortices form an almost quenched pattern and induce a strong deviation form Gaussianity in the velocity field.
PACS: 47.27.Eq – Turbulence simulation and modeling / 52.35.Ra – Plasma turbulence / 92.60.Ek – Convection, turbulence, and diffusion
© EDP Sciences, 2002