Structures in magnetohydrodynamic turbulence: Detection and scaling

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We present a systematic analysis of statistical properties of turbulent current and vorticity structures at a given time using cluster analysis. The data stem from numerical simulations of decaying three-dimensional magnetohydrodynamic turbulence in the absence of an imposed uniform magnetic field;...

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Autor principal: Uritsky, V.M
Otros Autores: Pouquet, A., Rosenberg, D., Mininni, P.D, Donovan, E.F
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2010
Acceso en línea:Registro en Scopus
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Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
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100 1 |a Uritsky, V.M. 
245 1 0 |a Structures in magnetohydrodynamic turbulence: Detection and scaling 
260 |c 2010 
270 1 0 |m Uritsky, V. M.; Physics and Astronomy Department, University of Calgary, Calgary, AB T2N1N4, Canada 
506 |2 openaire  |e Política editorial 
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520 3 |a We present a systematic analysis of statistical properties of turbulent current and vorticity structures at a given time using cluster analysis. The data stem from numerical simulations of decaying three-dimensional magnetohydrodynamic turbulence in the absence of an imposed uniform magnetic field; the magnetic Prandtl number is taken equal to unity, and we use a periodic box with grids of up to 15363 points and with Taylor Reynolds numbers up to 1100. The initial conditions are either an X -point configuration embedded in three dimensions, the so-called Orszag-Tang vortex, or an Arn'old-Beltrami-Childress configuration with a fully helical velocity and magnetic field. In each case two snapshots are analyzed, separated by one turn-over time, starting just after the peak of dissipation. We show that the algorithm is able to select a large number of structures (in excess of 8000) for each snapshot and that the statistical properties of these clusters are remarkably similar for the two snapshots as well as for the two flows under study in terms of scaling laws for the cluster characteristics, with the structures in the vorticity and in the current behaving in the same way. We also study the effect of Reynolds number on cluster statistics, and we finally analyze the properties of these clusters in terms of their velocity-magnetic- field correlation. Self-organized criticality features have been identified in the dissipative range of scales. A different scaling arises in the inertial range, which cannot be identified for the moment with a known self-organized criticality class consistent with magnetohydrodynamics. We suggest that this range can be governed by turbulence dynamics as opposed to criticality and propose an interpretation of intermittency in terms of propagation of local instabilities. © 2010 The American Physical Society.  |l eng 
593 |a Physics and Astronomy Department, University of Calgary, Calgary, AB T2N1N4, Canada 
593 |a NCAR, P.O. Box 3000, Boulder, CO 80307-3000, United States 
593 |a Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina 
593 |a IFIBA, CONICET, Ciudad Universitaria, 1428 Buenos Aires, Argentina 
690 1 0 |a BELTRAMI 
690 1 0 |a CLUSTER STATISTICS 
690 1 0 |a INITIAL CONDITIONS 
690 1 0 |a INTERMITTENCY 
690 1 0 |a LOCAL INSTABILITY 
690 1 0 |a MAGNETIC PRANDTL NUMBERS 
690 1 0 |a MAGNETOHYDRODYNAMIC TURBULENCE 
690 1 0 |a NUMERICAL SIMULATION 
690 1 0 |a SELF-ORGANIZED CRITICALITY 
690 1 0 |a STATISTICAL PROPERTIES 
690 1 0 |a SYSTEMATIC ANALYSIS 
690 1 0 |a TAYLOR-REYNOLDS NUMBER 
690 1 0 |a THREE DIMENSIONS 
690 1 0 |a TURBULENCE DYNAMICS 
690 1 0 |a VORTICITY STRUCTURE 
690 1 0 |a X-POINT 
690 1 0 |a CLUSTER ANALYSIS 
690 1 0 |a CRITICALITY (NUCLEAR FISSION) 
690 1 0 |a MAGNETIC FIELDS 
690 1 0 |a REYNOLDS NUMBER 
690 1 0 |a THREE DIMENSIONAL COMPUTER GRAPHICS 
690 1 0 |a TURBULENCE 
690 1 0 |a VORTICITY 
690 1 0 |a MAGNETOHYDRODYNAMICS 
700 1 |a Pouquet, A. 
700 1 |a Rosenberg, D. 
700 1 |a Mininni, P.D. 
700 1 |a Donovan, E.F. 
773 0 |d 2010  |g v. 82  |k n. 5  |p Phys. Rev. E Stat. Nonlinear Soft Matter Phys.  |x 15393755  |t Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 
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856 4 0 |u https://doi.org/10.1103/PhysRevE.82.056326  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_15393755_v82_n5_p_Uritsky  |y Handle 
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