Renormalization group in the problem of fully developed turbulence of a compressible fluid

DOI10.1007/BF02630456zbMath0918.76030MaRDI QIDQ1280838

M. Yu. Nalimov, N. V. Antonov, A. A. Udalov

Publication date: 19 August 1999

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Mach numberone-loop approximationstochastic Navier-Stokes equationeffective sound velocityscaling dimensionsintegral turbulence scalevelocity-logarithm of density variables

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Turbulence (76F99) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (4)

Renormalization group analysis of models of advection of a vector admixture and a tracer field by a compressible turbulent flow ⋮ Dynamic scaling and large scale effects in turbulence in compressible stratified fluid ⋮ A general vector field coupled to a strongly compressible turbulent flow ⋮ Influence of compressibility on scaling regimes of kraichnan model with finite time correlations: two-loop RG analysis

Cites Work

• Renormalization-group approach in the theory of turbulence: Renormalization and critical dimensions of the composite operators of the energy-momentum tensor
• The renormalization group, the \(\epsilon\)-expansion and derivation of turbulence models
• Corrections to fully developed turbulent spectra due to compressibility of the fluid
• Composite operators, operator expansion, and Galilean invariance in the theory of fully developed turbulence. Infrared corrections to Kolmogorov scaling
• Renormalization group approach to the problem of the effect of compressibility on the spectral properties of developed turbulence

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