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Abstract:

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.

Registro:

Documento: Artículo
Título:Lagrangian-averaged model for magnetohydrodynamic turbulence and the absence of bottlenecks
Autor:Pietarila Graham, J.; Mininni, P.D.; Pouquet, A.
Filiación:Max-Planck-Institut für Sonnensystemforschung, 37191 Katlenburg-Lindau, Germany
National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307, United States
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Averaged models; Bottleneck effects; Degrees of freedom; Energy spectra; Internal degrees of freedom; Lagrangian; Magnetohydrodynamic turbulence; N-waves; Navier Stokes; Neutral fluids; Nonlocal; Reduction factor; Scale properties; Spatial regions; Spectral properties; Subfilter scale; Superfilters; Computer simulation languages; Energy transfer; Filters (for fluids); Fluid dynamics; Lagrange multipliers; Lorentz force; Magnetic fields; Mechanics; Reynolds number; Spectroscopy; Turbulent flow; Magnetohydrodynamics
Año:2009
Volumen:80
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevE.80.016313
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_v80_n1_p_PietarilaGraham

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Citas:

---------- APA ----------
Pietarila Graham, J., Mininni, P.D. & Pouquet, A. (2009) . Lagrangian-averaged model for magnetohydrodynamic turbulence and the absence of bottlenecks. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(1).
http://dx.doi.org/10.1103/PhysRevE.80.016313
---------- CHICAGO ----------
Pietarila Graham, J., Mininni, P.D., Pouquet, A. "Lagrangian-averaged model for magnetohydrodynamic turbulence and the absence of bottlenecks" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 80, no. 1 (2009).
http://dx.doi.org/10.1103/PhysRevE.80.016313
---------- MLA ----------
Pietarila Graham, J., Mininni, P.D., Pouquet, A. "Lagrangian-averaged model for magnetohydrodynamic turbulence and the absence of bottlenecks" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 1, 2009.
http://dx.doi.org/10.1103/PhysRevE.80.016313
---------- VANCOUVER ----------
Pietarila Graham, J., Mininni, P.D., Pouquet, A. Lagrangian-averaged model for magnetohydrodynamic turbulence and the absence of bottlenecks. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2009;80(1).
http://dx.doi.org/10.1103/PhysRevE.80.016313