dorsal/arxiv
View SchemaCancellation exponent and multifractal structure in two-dimensional magnetohydrodynamics: direct numerical simulations and Lagrangian averaged modeling
| Authors | Jonathan Pietarila-Graham, Pablo D. Mininni, Annick Pouquet |
|---|---|
| Categories | |
| ArXiv ID | physics/0506088 |
| URL | https://arxiv.org/abs/physics/0506088 |
| DOI | 10.1103/PhysRevE.72.045301 |
| Journal | Phys.Rev. E72 (2005) 045301 |
Abstract
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.
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"abstract": "We present direct numerical simulations and Lagrangian averaged (also known\nas alpha-model) simulations of forced and free decaying magnetohydrodynamic\nturbulence in two dimensions. The statistics of sign cancellations of the\ncurrent at small scales is studied using both the cancellation exponent and the\nfractal dimension of the structures. The alpha-model is found to have the same\nscaling behavior between positive and negative contributions as the direct\nnumerical simulations. The alpha-model is also able to reproduce the time\nevolution of these quantities in free decaying turbulence. At large Reynolds\nnumbers, an independence of the cancellation exponent with the Reynolds numbers\nis observed.",
"arxiv_id": "physics/0506088",
"authors": [
"Jonathan Pietarila-Graham",
"Pablo D. Mininni",
"Annick Pouquet"
],
"categories": [
"physics.plasm-ph",
"astro-ph",
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevE.72.045301",
"journal_ref": "Phys.Rev. E72 (2005) 045301",
"title": "Cancellation exponent and multifractal structure in two-dimensional magnetohydrodynamics: direct numerical simulations and Lagrangian averaged modeling",
"url": "https://arxiv.org/abs/physics/0506088"
},
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