A state of the art review is given of research on compressible magnetohydrodynamic turbulence in space plasmas. The presence of magnetic fields and compressibility in this case makes space plasma turbulence much less amenable to direct numerical simulations compared to a neutral incompressible fluid. The large eddy simulation method is discussed, which was developed as an alternative to direct modeling and which filters the initial magnetohydrodynamics equations and uses the subgrid-scale modeling of universal small-scale turbulence. A detailed analysis is made of both the method itself and different subgrid-scale parametrizations for compressible magnetohydrodynamic turbulent flows in polytropic or heat-conducting plasmas. The use of large eddy simulations to study turbulence in local interstellar medium and the scale-invariant spectra of magnetohydrodynamic turbulence are discussed.

PACS: 47.27.E−, 47.27.ep, 47.27.Gs, 52.35.Ra, 52.65.Kj (all) DOI: 10.3367/UFNe.0184.201405a.0457 URL: https://ufn.ru/en/articles/2014/5/a/ 000340732000001 2-s2.0-84905988859 2014PhyU...57..421C Citation: Chernyshov A A, Karelsky K V, Petrosyan A S "Subgrid-scale modeling for the study of compressible magnetohydrodynamic turbulence in space plasmas" Phys. Usp. 57 421–452 (2014) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 28th, March 2013, revised: 13th, September 2013, accepted: 13th, September 2013 Оригинал: Чернышов А А, Карельский К В, Петросян А С «Подсеточное моделирование для исследования сжимаемой магнитогидродинамической турбулентности космической плазмы» УФН 184 457–492 (2014); DOI: 10.3367/UFNr.0184.201405a.0457