dorsal/arxiv
View SchemaNumerical solutions of the three-dimensional magnetohydrodynamic alpha-model
| Authors | P. D. Mininni, D. C. Montgomery, A. Pouquet |
|---|---|
| Categories | |
| ArXiv ID | physics/0412025 |
| URL | https://arxiv.org/abs/physics/0412025 |
| DOI | 10.1103/PhysRevE.71.046304 |
Abstract
We present direct numerical simulations and alpha-model simulations of four familiar three-dimensional magnetohydrodynamic (MHD) turbulence effects: selective decay, dynamic alignment, inverse cascade of magnetic helicity, and the helical dynamo effect. The MHD alpha-model is shown to capture the long-wavelength spectra in all these problems, allowing for a significant reduction of computer time and memory at the same kinetic and magnetic Reynolds numbers. In the helical dynamo, not only does the alpha-model correctly reproduce the growth rate of magnetic energy during the kinematic regime, but it also captures the nonlinear saturation level and the late generation of a large scale magnetic field by the helical turbulence.
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"abstract": "We present direct numerical simulations and alpha-model simulations of four\nfamiliar three-dimensional magnetohydrodynamic (MHD) turbulence effects:\nselective decay, dynamic alignment, inverse cascade of magnetic helicity, and\nthe helical dynamo effect. The MHD alpha-model is shown to capture the\nlong-wavelength spectra in all these problems, allowing for a significant\nreduction of computer time and memory at the same kinetic and magnetic Reynolds\nnumbers. In the helical dynamo, not only does the alpha-model correctly\nreproduce the growth rate of magnetic energy during the kinematic regime, but\nit also captures the nonlinear saturation level and the late generation of a\nlarge scale magnetic field by the helical turbulence.",
"arxiv_id": "physics/0412025",
"authors": [
"P. D. Mininni",
"D. C. Montgomery",
"A. Pouquet"
],
"categories": [
"physics.flu-dyn",
"physics.plasm-ph"
],
"doi": "10.1103/PhysRevE.71.046304",
"title": "Numerical solutions of the three-dimensional magnetohydrodynamic alpha-model",
"url": "https://arxiv.org/abs/physics/0412025"
},
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