The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd
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...
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todo:paper_03091929_v104_n2-3_p115_Pouquet2023-10-03T15:23:03Z The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd Pouquet, A. Lee, E. Brachet, M.E. Mininni, P.D. Rosenberg, D. 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 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. Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03091929_v104_n2-3_p115_Pouquet |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
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 |
| spellingShingle |
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 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 |
| topic_facet |
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 |
| description |
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. |
| format |
JOUR |
| author |
Pouquet, A. Lee, E. Brachet, M.E. Mininni, P.D. Rosenberg, D. |
| author_facet |
Pouquet, A. Lee, E. Brachet, M.E. Mininni, P.D. Rosenberg, D. |
| author_sort |
Pouquet, A. |
| title |
The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd |
| title_short |
The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd |
| title_full |
The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd |
| title_fullStr |
The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd |
| title_full_unstemmed |
The dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd |
| title_sort |
dynamics of unforced turbulence at high reynolds number for taylor-green vortices generalized to mhd |
| url |
http://hdl.handle.net/20.500.12110/paper_03091929_v104_n2-3_p115_Pouquet |
| work_keys_str_mv |
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