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Abstract:

We study decaying magnetohydrodynamics (MHD) turbulence stemming from the evolution of the Taylor-Green flow generalized recently to MHD, with equal viscosity and magnetic resistivity and up to equivalent grid resolutions of 20483 points. A pseudo-spectral code is used in which the symmetries of the velocity and magnetic fields have been implemented, allowing for sizable savings in both computer time and usage of memory at a given Reynolds number. The flow is non-helical, and at initial time the kinetic and magnetic energies are taken to be equal and concentrated in the large scales. After testing the validity of the method on grids of 5123 points, we analyze the data on the large grids up to Taylor Reynolds numbers of 2200. We find that the global temporal evolution is accelerated in MHD, compared to the corresponding neutral fluid case. We also observe an interval of time when such configurations have quasi-constant total dissipation, time during which statistical properties are determined after averaging over of the order of two turn-over times. A weak turbulence spectrum is obtained which is also given in terms of its anisotropic components. Finally, we contrast the development of small-scale eddies with two other initial conditions for the magnetic field and briefly discuss the structures that develop, and which display a complex array of current and vorticity sheets with clear rolling-up and folding. © 2010 Taylor & Francis.

Registro:

Documento: Artículo
Título:The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd
Autor:Pouquet, A.; Lee, E.; Brachet, M.E.; Mininni, P.D.; Rosenberg, D.
Filiación:Turbulence Numerics Team/NCAR, P.O. Box 3000, Boulder, CO 80307-3000, United States
Earth and Sun Systems Laboratory/NCAR, 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
École Normale Supérieure, 24 rue Lhomond, 75005 Paris, France
Facultad de Ciencias Exactas y Naturales, Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Alfvén waves; Current sheets folding; MHD; Symmetries; Turbulence; Universality; Computer time; Current sheets; Current sheets folding; Grid resolution; High Reynolds number; Initial conditions; Initial time; Magnetic energies; Magnetic resistivities; Magnetohydrodynamics turbulences; N-waves; Neutral fluids; Statistical properties; Taylor-Green flow; Taylor-Green vortex; Taylor-Reynolds number; Temporal evolution; Weak turbulence; Magnetic fields; Magnetohydrodynamics; Reynolds number; Turbulence; magnetic field; magnetohydrodynamics; Reynolds number; turbulence; viscosity; vorticity
Año:2010
Volumen:104
Número:2-3
Página de inicio:115
Página de fin:134
DOI: http://dx.doi.org/10.1080/03091920903304080
Título revista:Geophysical and Astrophysical Fluid Dynamics
Título revista abreviado:Geophys. Astrophys. Fluid Dyn.
ISSN:03091929
CODEN:GAFDD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03091929_v104_n2-3_p115_Pouquet

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Citas:

---------- APA ----------
Pouquet, A., Lee, E., Brachet, M.E., Mininni, P.D. & Rosenberg, D. (2010) . The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd. Geophysical and Astrophysical Fluid Dynamics, 104(2-3), 115-134.
http://dx.doi.org/10.1080/03091920903304080
---------- CHICAGO ----------
Pouquet, A., Lee, E., Brachet, M.E., Mininni, P.D., Rosenberg, D. "The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd" . Geophysical and Astrophysical Fluid Dynamics 104, no. 2-3 (2010) : 115-134.
http://dx.doi.org/10.1080/03091920903304080
---------- MLA ----------
Pouquet, A., Lee, E., Brachet, M.E., Mininni, P.D., Rosenberg, D. "The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd" . Geophysical and Astrophysical Fluid Dynamics, vol. 104, no. 2-3, 2010, pp. 115-134.
http://dx.doi.org/10.1080/03091920903304080
---------- VANCOUVER ----------
Pouquet, A., Lee, E., Brachet, M.E., Mininni, P.D., Rosenberg, D. The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd. Geophys. Astrophys. Fluid Dyn. 2010;104(2-3):115-134.
http://dx.doi.org/10.1080/03091920903304080