Universität zu Köln

Banerjee, Supratik and Kritsuk, Alexei G. (2017). Exact relations for energy transfer in self-gravitating isothermal turbulence. Phys. Rev. E, 96 (5). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053

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Abstract

Self-gravitating isothermal supersonic turbulence is analyzed in the asymptotic limit of large Reynolds numbers. Based on the inviscid invariance of total energy, an exact relation is derived for homogeneous (not necessarily isotropic) turbulence. A modified definition for the two-point energy correlation functions is used to comply with the requirement of detailed energy equipartition in the acoustic limit. In contrast to the previous relations (S. Galtier and S. Banerjee, Phys. Rev. Lett. 107, 134501 (2011); S. Banerjee and S. Galtier, Phys. Rev. E 87, 013019 (2013)), the current exact relation shows that the pressure dilatation terms play practically no role in the energy cascade. Both the flux and source terms are written in terms of two-point differences. Sources enter the relation in a form of mixed second-order structure functions. Unlike the kinetic and thermodynamic potential energies, the gravitational contribution is absent from the flux term. An estimate shows that, for the isotropic case, the correlation between density and gravitational acceleration may play an important role in modifying the energy transfer in self-gravitating turbulence. The exact relation is also written in an alternative form in terms of two-point correlation functions, which is then used to describe scale-by-scale energy budget in spectral space.

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:38-210811
DOI:	10.1103/PhysRevE.96.053116
Journal or Publication Title:	Phys. Rev. E
Volume:	96
Number:	5
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2470-0053
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language GALACTIC MOLECULAR CLOUDS; LARGE-SCALE STRUCTURE; STAR-FORMATION; SUPERSONIC TURBULENCE; COMPRESSIBLE TURBULENCE; DENSITY-FLUCTUATIONS; GAS CLOUDS; COLLAPSE; MODEL; I. Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/21081