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

• Autores: Pietarila Graham, Jonathan; Mininni, Pablo Daniel; Lemperiere, Annick
• Año de publicación: 2009
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: Large-Eddy Simulations; Magnetohydrodynamics; Magnetohydrodynamics And Plasmas
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

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.
Fil: Pietarila Graham, Jonathan. Max Planck Institut Fur Sonnensystemforschung; Alemania
Fil: Mininni, Pablo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Lemperiere, Annick. National Center for Atmospheric Research; Estados Unidos