Large-eddy simulation of magnetohydrodynamic turbulence in compressible fluid

Чернышов, А. А.; Karelsky, K. V.; Petrosyan, A. S.

doi:10.1063/1.2171705

Cited by 25 publications

(22 citation statements)

References 26 publications

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“…Different models of closures for subgrid terms appearing after filtration of the compressible MHD equations were developed by Chernyshov et al (2006a). Numerical solutions were compared with direct numerical simulations.…”

Section: Computational Methods For Mhd Turbulencementioning

confidence: 99%

Turbulence in the Solar Atmosphere and Solar Wind

Petrosyan

Balogh

Goldstein³

et al. 2010

Space Sci Rev

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The objective of this review article is to critically analyze turbulence and its role in the solar atmosphere and solar wind, as well as to provide a tutorial overview of topics worth clarification. Although turbulence is a ubiquitous phenomenon in the sun and its heliosphere, many open questions exist concerning the physical mechanisms of turbulence generation in solar environment. Also, the spatial and temporal evolution of the turbulence A. Petrosyan ( ) Space Research Institute of the Russian Academy Sciences,

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Section: Computational Methods For Mhd Turbulencementioning

confidence: 99%

Turbulence in the Solar Atmosphere and Solar Wind

Petrosyan

Balogh

Goldstein³

et al. 2010

Space Sci Rev

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“…Further analysis on the scale-separation and its possible impacts to SGS-modeling will be shown elsewhere with results of LES. We may also need to take influences of compressibility, which has been modeled by Chernyshov et al, 41 for example, into account there.…”

Section: Projection Of the Small Scales To A Modeled Fieldmentioning

confidence: 99%

Structure transitions induced by the Hall term in homogeneous and isotropic magnetohydrodynamic turbulence

Miura

Araki

2014

Physics of Plasmas

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Hall effects on local structures in homogeneous, isotropic, and incompressible magnetohydrodynamic turbulence are studied numerically. The transition of vortices from sheet-like to tubular structures induced by the Hall term is found, while the kinetic energy spectrum does not distinguish the two types of structures. It is shown by the use of the sharp low-pass filter that the transition occurs not only in the scales smaller than the ion skin depth but also in a larger scale. The transition is related with the forward energy transfer in the spectral space. Analyses by the use of the sharp low-pass filter show that the nonlinear energy transfer associated with the Hall term is dominated by the forward transfer and relatively local in the wave number space. A projection of the simulation data to a Smagorinsky-type sub-grid-scale model shows that the high wave number component of the Hall term may possibly be replaced by the model effectively.

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“…Instead we consider the full VlasovMaxwell system, and employ a filtering approach that is familiar in hydrodynamics [10] and large-eddy simulation [11][12][13][14][15] communities but less used in kinetic plasma. Examining filtered equations for energy transfer, we can assess the relative importance of different transfer terms at all scales ranging from MHD to electron scales.…”

Section: Introductionmentioning

confidence: 99%

Energy transfer, pressure tensor, and heating of kinetic plasma

et al. 2017

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Kinetic plasma turbulence cascade spans multiple scales ranging from macroscopic fluid flow to sub-electron scales. Mechanisms that dissipate large scale energy, terminate the inertial range cascade and convert kinetic energy into heat are hotly debated. Here we revisit these puzzles using fully kinetic simulation. By performing scale-dependent spatial filtering on the Vlasov equation, we extract information at prescribed scales and introduce several energy transfer functions. This approach allows highly inhomogeneous energy cascade to be quantified as it proceeds down to kinetic scales. The pressure work, − (P · ∇) · u, can trigger a channel of the energy conversion between fluid flow and random motions, which is a collision-free generalization of the viscous dissipation in collisional fluid. Both the energy transfer and the pressure work are strongly correlated with velocity gradients.

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Large-eddy simulation of magnetohydrodynamic turbulence in compressible fluid

Cited by 25 publications

References 26 publications

Turbulence in the Solar Atmosphere and Solar Wind

Turbulence in the Solar Atmosphere and Solar Wind

Structure transitions induced by the Hall term in homogeneous and isotropic magnetohydrodynamic turbulence

Energy transfer, pressure tensor, and heating of kinetic plasma

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