Subgrid-scale modeling for the study of compressible magnetohydrodynamic turbulence in space plasmas

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

doi:10.3367/ufnr.0184.201405a.0457

Cited by 4 publications

(2 citation statements)

References 149 publications

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“…These models still represent the only available strategy for subgrid modelling (Miesch et al. 2015), and they have been recently generalized even to compressible (Chernyshov, Karelsky & Petrosyan 2014; Vlaykov et al. 2016; Grete et al.…”

Section: Introductionmentioning

confidence: 99%

“…Yet, Smagorinski-like models have been adapted through formal analogy in MHD since the 1990s (Theobald, Fox & Sofia 1994;Müller & Carati 2002;Verma & Kumar 2004;Bian et al 2021). These models still represent the only available strategy for subgrid modelling (Miesch et al 2015), and they have been recently generalized even to compressible (Chernyshov, Karelsky & Petrosyan 2014;Vlaykov et al 2016;Grete et al 2017) Although DNS has been used to partially assess the validity of such closures (Agullo et al 2001;Miesch et al 2015;Kessar, Balarac & Plunian 2016), a thorough analysis is still needed, given the importance of the problem. Notably, in the last few years, new analysis of this kind of modelling has been made possible by the use of scale-by-scale analysis (Buzzicotti et al 2018;Biferale et al 2019;Alexakis & Chibbaro 2020).…”

Section: Introductionmentioning

confidence: 99%

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Local fluxes in magnetohydrodynamic turbulence

Alexakis

Chibbaro

2022

J. Plasma Phys.

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Using highly resolved direct numerical simulations we examine the statistical properties of the local energy flux rate $\varPi _\ell (x)$ towards small scales for three isotropic turbulent magnetohydrodynamic flows, which differ in strength and structure of the magnetic field. We analyse the cascade process in both kinetic and magnetic energy, disentangling the different flux contributions to the overall energy dynamics. The results show that the probability distribution of the local energy flux develops long tails related to extreme events, similar to the hydrodynamic case. The different terms of the energy flux display different properties and show sensitivity to the type of the flow examined. We further examine the joint probability density function between the local energy flux and the gradients of the involved fields. The results point out a correlation with the magnetic field gradients, showing, however, a dispersion much stronger than what is observed in hydrodynamic flows. Finally, it is also shown that the local energy flux shows some dependence on the local amplitude of the magnetic field. The present results have implications for subgrid-scale models, which we discuss.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Local fluxes in magnetohydrodynamic turbulence

Alexakis

Chibbaro

2022

J. Plasma Phys.

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Stochastic instability and turbulent transport. Characteristic scales, increments, and diffusion coefficients

Bakunin

2015

Phys.-Usp.

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Modified magnetohydrodynamics model with wave turbulence: astrophysical applications

Kurbatov¹,

Жилкин²,

Bisikalo³

2017

Phys.-Usp.

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Modeling astrophysical flows in the framework of classical magnetohydrodynamics often encounters significant difficulties due to high (up to relativistic) Alfvén wave velocities. Such situations can arise in modeling the magnetosphere of planets and stars and accretion flows in polars, intermediate polars, and near-neutron stars. In a strongly magnetized plasma, wave turbulence can develop, which can significantly affect the energy balance and the forces determining the plasma dynamics. In this paper, a closed system of equations is obtained for modified magnetohydrodynamics with wave turbulence for a wide range of magnetic fields and turbulence energies. The turbulent flow is described as the sum of the mean flow and perturbations induced by relativistic Alfvén waves. Expressions are derived for the turbulence-induced body force, viscosity, and dissipative heating. An analysis of equations in certain limit cases is performed. It is shown that the proposed approach can be used for modeling a broad class of astrophysical plasma flows.

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Subgrid-scale modeling for the study of compressible magnetohydrodynamic turbulence in space plasmas

Cited by 4 publications

References 149 publications

Local fluxes in magnetohydrodynamic turbulence

Local fluxes in magnetohydrodynamic turbulence

Stochastic instability and turbulent transport. Characteristic scales, increments, and diffusion coefficients

Modified magnetohydrodynamics model with wave turbulence: astrophysical applications

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