Lagrangian-averaged model for magnetohydrodynamic turbulence and the absence of bottlenecks

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We demonstrate that, for the case of quasiequipartition between the velocity and the magnetic field, the Lagrangian-averaged magnetohydrodynamics (LAMHD) α model reproduces well both the large-scale and the small-scale properties of turbulent flows; in particular, it displays no increased (superfilt...

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Autor principal: Pietarila Graham, J.
Otros Autores: Mininni, P.D, Pouquet, A.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2009
Acceso en línea:Registro en Scopus
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100 1 |a Pietarila Graham, J. 
245 1 0 |a Lagrangian-averaged model for magnetohydrodynamic turbulence and the absence of bottlenecks 
260 |c 2009 
270 1 0 |m Pietarila Graham, J.; Max-Planck-Institut für Sonnensystemforschung, 37191 Katlenburg-Lindau, Germany 
506 |2 openaire  |e Política editorial 
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520 3 |a We demonstrate that, for the case of quasiequipartition between the velocity and the magnetic field, the Lagrangian-averaged magnetohydrodynamics (LAMHD) α model reproduces well both the large-scale and the small-scale properties of turbulent flows; in particular, it displays no increased (superfilter) bottleneck effect with its ensuing enhanced energy spectrum at the onset of the subfilter scales. This is in contrast to the case of the neutral fluid in which the Lagrangian-averaged Navier-Stokes α model is somewhat limited in its applications because of the formation of spatial regions with no internal degrees of freedom and subsequent contamination of superfilter-scale spectral properties. We argue that, as the Lorentz force breaks the conservation of circulation and enables spectrally nonlocal energy transfer (associated with Alfvén waves), it is responsible for the absence of a viscous bottleneck in magnetohydrodynamics (MHD), as compared to the fluid case. As LAMHD preserves Alfvén waves and the circulation properties of MHD, there is also no (superfilter) bottleneck found in LAMHD, making this method capable of large reductions in required numerical degrees of freedom; specifically, we find a reduction factor of 200 when compared to a direct numerical simulation on a large grid of 15363 points at the same Reynolds number. © 2009 The American Physical Society.  |l eng 
593 |a Max-Planck-Institut für Sonnensystemforschung, 37191 Katlenburg-Lindau, Germany 
593 |a National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307, United States 
593 |a Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina 
690 1 0 |a AVERAGED MODELS 
690 1 0 |a BOTTLENECK EFFECTS 
690 1 0 |a DEGREES OF FREEDOM 
690 1 0 |a ENERGY SPECTRA 
690 1 0 |a INTERNAL DEGREES OF FREEDOM 
690 1 0 |a LAGRANGIAN 
690 1 0 |a MAGNETOHYDRODYNAMIC TURBULENCE 
690 1 0 |a N-WAVES 
690 1 0 |a NAVIER STOKES 
690 1 0 |a NEUTRAL FLUIDS 
690 1 0 |a NONLOCAL 
690 1 0 |a REDUCTION FACTOR 
690 1 0 |a SCALE PROPERTIES 
690 1 0 |a SPATIAL REGIONS 
690 1 0 |a SPECTRAL PROPERTIES 
690 1 0 |a SUBFILTER SCALE 
690 1 0 |a SUPERFILTERS 
690 1 0 |a COMPUTER SIMULATION LANGUAGES 
690 1 0 |a ENERGY TRANSFER 
690 1 0 |a FILTERS (FOR FLUIDS) 
690 1 0 |a FLUID DYNAMICS 
690 1 0 |a LAGRANGE MULTIPLIERS 
690 1 0 |a LORENTZ FORCE 
690 1 0 |a MAGNETIC FIELDS 
690 1 0 |a MECHANICS 
690 1 0 |a REYNOLDS NUMBER 
690 1 0 |a SPECTROSCOPY 
690 1 0 |a TURBULENT FLOW 
690 1 0 |a MAGNETOHYDRODYNAMICS 
700 1 |a Mininni, P.D. 
700 1 |a Pouquet, A. 
773 0 |d 2009  |g v. 80  |k n. 1  |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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