RENORMALIZATION-GROUP IN THE PROBLEM OF FULLY-DEVELOPED TURBULENCE OFA COMPRESSIBLE FLUID

Authors
ANTONOV NV NALIMOV MY UDALOV AA
Citation
Nv. Antonov et al., RENORMALIZATION-GROUP IN THE PROBLEM OF FULLY-DEVELOPED TURBULENCE OFA COMPRESSIBLE FLUID, Theoretical and mathematical physics, 110(3), 1997, pp. 305-315
Citations number
24
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
110
Issue
3
Year of publication
1997
Pages
305 - 315
Database
ISI
SICI code
0040-5779(1997)110:3<305:RITPOF>2.0.ZU;2-D
Abstract
A model of fully developed turbulence of a compressible liquid (gas), based on the stochastic Navier-Stokes equation, is considered by means of the renormalization group. It is proved that the model is multipli catively renormalized in terms of the ''velocity-logarithm of density' ' variables. The scaling dimensions of the fields and parameters are c alculated in the one-loop approximation. Dependence of the effective s ound velocity and the Mach number on the integral turbulence scale L i s studied.