Universität zu Köln

Banerjee, Supratik and Kritsuk, Alexei G. (2018). Energy transfer in compressible magnetohydrodynamic turbulence for isothermal self-gravitating fluids. Phys. Rev. E, 97 (2). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2376

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Abstract

Three-dimensional, compressible, magnetohydrodynamic turbulence of an isothermal, self-gravitating fluid is analyzed using two-point statistics in the asymptotic limit of large Reynolds numbers (both kinetic and magnetic). Following an alternative formulation proposed by Banerjee and Galtier [Phys. Rev. E 93, 033120 (2016); J. Phys. A: Math. Theor. 50, 015501 (2017)], an exact relation has been derived for the total energy transfer. This approach results in a simpler relation expressed entirely in terms of mixed second-order structure functions. The kinetic, thermodynamic, magnetic, and gravitational contributions to the energy transfer rate can be easily separated in the present form. By construction, the new formalism includes such additional effects as global rotation, the Hall term in the induction equation, etc. The analysis shows that solid-body rotation cannot alter the energy flux rate of compressible turbulence. However, the contribution of a uniform background magnetic field to the flux is shown to be nontrivial unlike in the incompressible case. Finally, the compressible, turbulent energy flux rate does not vanish completely due to simple alignments, which leads to a zero turbulent energy flux rate in the incompressible case.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Banerjee, Supratik UNSPECIFIED UNSPECIFIED UNSPECIFIED Kritsuk, Alexei G. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-195819
DOI:	10.1103/PhysRevE.97.023107
Journal or Publication Title:	Phys. Rev. E
Volume:	97
Number:	2
Date:	2018
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1550-2376
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language STAR-FORMATION Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/19581