The Lagrangian-averaged model for magnetohydrodynamics turbulence and the absence of bottleneck

Abstract

We demonstrate that, for the case of quasi-equipartition between the velocity and the magnetic field, the Lagrangian-averaged magnetohydrodynamics alpha-model (LAMHD) reproduces well both the large-scale and small-scale properties of turbulent flows; in particular, it displays no increased (super-filter) bottleneck effect with its ensuing enhanced energy spectrum at the onset of the sub-filter-scales. This is in contrast to the case of the neutral fluid in which the Lagrangian-averaged Navier-Stokes alpha-model is somewhat limited in its applications because of the formation of spatial regions with no internal degrees of freedom and subsequent contamination of super-filter-scale spectral properties. No such regions are 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 1536^3 points at the same Reynolds number.

22 pages, 9 figures; accepted Phys.Rev.E

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Cited by in corpus (8)

• On the lack of universality in decaying magnetohydrodynamic turbulence
• Scale interactions in magnetohydrodynamic turbulence
• A framework for the evaluation of turbulence closures used in mesoscale ocean large-eddy simulations
• Magnetic Energy Spectra in Active Regions
• The dynamics of unforced turbulence at high Reynolds number for Taylor-Green vortices generalized to MHD
• A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics
• High Reynolds number magnetohydrodynamic turbulence using a Lagrangian model
• The effect of subfilter-scale physics on regularization models