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Lee, E.; Brachet, M.E.; Pouquet, A.; Mininni, P.D.; Rosenberg, D. "Paradigmatic flow for small-scale magnetohydrodynamics: Properties of the ideal case and the collision of current sheets" (2008) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 78(6)
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Abstract:

We propose two sets of initial conditions for magnetohydrodynamics (MHD) in which both the velocity and the magnetic fields have spatial symmetries that are preserved by the dynamical equations as the system evolves. When implemented numerically they allow for substantial savings in CPU time and memory storage requirements for a given resolved scale separation. Basic properties of these Taylor-Green flows generalized to MHD are given, and the ideal nondissipative case is studied up to the equivalent of 20483 grid points for one of these flows. The temporal evolution of the logarithmic decrements δ of the energy spectrum remains exponential at the highest spatial resolution considered, for which an acceleration is observed briefly before the grid resolution is reached. Up to the end of the exponential decay of δ, the behavior is consistent with a regular flow with no appearance of a singularity. The subsequent short acceleration in the formation of small magnetic scales can be associated with a near collision of two current sheets driven together by magnetic pressure. It leads to strong gradients with a fast rotation of the direction of the magnetic field, a feature also observed in the solar wind. © 2008 The American Physical Society.

Registro:

Documento: Artículo
Título:Paradigmatic flow for small-scale magnetohydrodynamics: Properties of the ideal case and the collision of current sheets
Autor:Lee, E.; Brachet, M.E.; Pouquet, A.; Mininni, P.D.; Rosenberg, D.
Filiación:Geophysical Turbulence Program, National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307-3000, United States
Department of Applied Physics and Applied Mathematics, Columbia University, 500 W. 120th Street, New York, NY 10027, United States
Icole Normale Supérieure, 24 Rue Lhomond, 75231 Paris, France
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Data storage equipment; Fluid dynamics; Hydrodynamics; Magnetic field effects; Magnetic field measurement; Magnetic fields; Magnetic materials; Solar energy; Solar wind; Wind power; Basic properties; Cpu times; Current sheets; Dynamical equations; Energy spectrums; Exponential decays; Fast rotations; Grid points; Grid resolutions; Initial conditions; Logarithmic decrements; Magnetic pressures; Memory storages; Near collisions; Regular flows; Scale separations; Spatial resolutions; Spatial symmetries; Temporal evolutions; Magnetohydrodynamics
Año:2008
Volumen:78
Número:6
DOI: http://dx.doi.org/10.1103/PhysRevE.78.066401
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v78_n6_p_Lee

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Citas:

---------- APA ----------
Lee, E., Brachet, M.E., Pouquet, A., Mininni, P.D. & Rosenberg, D. (2008) . Paradigmatic flow for small-scale magnetohydrodynamics: Properties of the ideal case and the collision of current sheets. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 78(6).
http://dx.doi.org/10.1103/PhysRevE.78.066401
---------- CHICAGO ----------
Lee, E., Brachet, M.E., Pouquet, A., Mininni, P.D., Rosenberg, D. "Paradigmatic flow for small-scale magnetohydrodynamics: Properties of the ideal case and the collision of current sheets" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 78, no. 6 (2008).
http://dx.doi.org/10.1103/PhysRevE.78.066401
---------- MLA ----------
Lee, E., Brachet, M.E., Pouquet, A., Mininni, P.D., Rosenberg, D. "Paradigmatic flow for small-scale magnetohydrodynamics: Properties of the ideal case and the collision of current sheets" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 78, no. 6, 2008.
http://dx.doi.org/10.1103/PhysRevE.78.066401
---------- VANCOUVER ----------
Lee, E., Brachet, M.E., Pouquet, A., Mininni, P.D., Rosenberg, D. Paradigmatic flow for small-scale magnetohydrodynamics: Properties of the ideal case and the collision of current sheets. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2008;78(6).
http://dx.doi.org/10.1103/PhysRevE.78.066401