RENORMALIZATION-GROUP APPROACH TO THE PROBLEM OF THE EFFECT OF COMPRESSIBILITY ON THE SPECTRAL PROPERTIES OF DEVELOPED TURBULENCE

Authors
ADZHEMYAN LT NALIMOV MY STEPANOVA MM
Citation
Lt. Adzhemyan et al., RENORMALIZATION-GROUP APPROACH TO THE PROBLEM OF THE EFFECT OF COMPRESSIBILITY ON THE SPECTRAL PROPERTIES OF DEVELOPED TURBULENCE, Theoretical and mathematical physics, 104(2), 1995, pp. 971-979
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
104
Issue
2
Year of publication
1995
Pages
971 - 979
Database
ISI
SICI code
0040-5779(1995)104:2<971:RATTPO>2.0.ZU;2-D
Abstract
Using the renormalization group technique, the spectra of the develope d turbulence of a compressible liquid are investigated for the case of small Mach numbers. Composite operators are found that determine corr ections to the spectra due to compressibility. Renormalization of thes e operators is studied and corresponding critical dimensions are obtai ned. The corrections are proved to be independent of viscosity in the inertial range as in the case of an incompressible liquid.