2005/06/30 by Jonathan Pietarila Graham, Jonathan Pietarila-Graham, Pablo D. Mininni +2 · 1 citation
Engineering · Environmental Science · Physics and Astronomy · #Climate variability and models #Fluid Dynamics and Turbulent Flows #Theoretical and Computational Physics #astro-ph #physics.flu-dyn #physics.plasm-ph
paper · pdf · doi:10.1103/physreve.72.045301
published as Phys.Rev. E72 (2005) 045301 · Finite size box effects have been taken into account in the definition of the partition function. This has resulted in a more clear scaling in all figures. Several points are clarified in the text
arxiv created 2005/08/24 · openalex publication_date 2005/10/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present direct numerical simulations and Lagrangian averaged (also known as alpha model) simulations of forced and free decaying magnetohydrodynamic turbulence in two dimensions. The statistics of sign cancellations of the current at small scales is studied using both the cancellation exponent and the fractal dimension of the structures. The alpha model is found to have the same scaling behavior between positive and negative contributions as the direct numerical simulations. The alpha model is also able to reproduce the time evolution of these quantities in free decaying turbulence. At large Reynolds numbers, an independence of the cancellation exponent with the Reynolds numbers is observed.