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TMF, 1995, Volume 104, Number 2, Pages 260–270 (Mi tmf1336)  

This article is cited in 10 scientific papers (total in 10 papers)

Renormalization-group approach to the problem of the effect of compressibility on the spectral properties of developed turbulence

L. Ts. Adzhemyan, M. Yu. Nalimov, M. M. Stepanova

Saint-Petersburg State University

Abstract: Using the renormalization group technique, the spectra of the developed turbulence of a compressible liquid are investigated for the case of small Mach numbers. Composite operators are found that determine corrections to the spectra due to compressibility. Renormalization of these operators is studied and corresponding critical dimensions are obtained. The corrections are proved to be independent of viscosity in the inertial range as in the case of an incompressible

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English version:
Theoretical and Mathematical Physics, 1995, 104:2, 971–979

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Received: 24.06.1994

Citation: L. Ts. Adzhemyan, M. Yu. Nalimov, M. M. Stepanova, “Renormalization-group approach to the problem of the effect of compressibility on the spectral properties of developed turbulence”, TMF, 104:2 (1995), 260–270; Theoret. and Math. Phys., 104:2 (1995), 971–979

Citation in format AMSBIB
\by L.~Ts.~Adzhemyan, M.~Yu.~Nalimov, M.~M.~Stepanova
\paper Renormalization-group approach to the problem of the effect of compressibility on the spectral properties of developed turbulence
\jour TMF
\yr 1995
\vol 104
\issue 2
\pages 260--270
\jour Theoret. and Math. Phys.
\yr 1995
\vol 104
\issue 2
\pages 971--979

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    This publication is cited in the following articles:
    1. D. Yu. Volchenckov, M. Yu. Nalimov, “The corrections to fully developed turbulent spectra due to the compressibility of fluid”, Theoret. and Math. Phys., 106:3 (1996), 307–318  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. Adzhemyan L.T., Antonov N.V., Vasilev A.N., “Quantum field renormalisation group in the theory of developed turbulence”, Uspekhi Fizicheskikh Nauk, 166:12 (1996), 1257–1284  mathnet  mathnet  crossref  isi
    3. N. V. Antonov, M. Yu. Nalimov, A. A. Udalov, “Renormalization group in the problem of the fully developed turbulence of a compresible fluid”, Theoret. and Math. Phys., 110:3 (1997), 305–315  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. Antonov, NV, “Influence of compressibility on scaling regimes of strongly anisotropic fully developed turbulence”, Physical Review E, 60:4 (1999), 4043  crossref  mathscinet  adsnasa  isi
    5. Volchenkov, D, “Renormalization group and instantons in stochastic nonlinear dynamics”, European Physical Journal-Special Topics, 170 (2009), 1  crossref  adsnasa  isi
    6. Antonov N.V. Kostenko M.M., “Anomalous Scaling of Passive Scalar Fields Advected By the Navier–Stokes Velocity Ensemble: Effects of Strong Compressibility and Large-Scale Anisotropy”, Phys. Rev. E, 90:6 (2014), 063016  crossref  isi
    7. Antonov N.V. Kostenko M.M., “Anomalous Scaling in Magnetohydrodynamic Turbulence: Effects of Anisotropy and Compressibility in the Kinematic Approximation”, Phys. Rev. E, 92:5 (2015), 053013  crossref  isi
    8. Pharasi H.K., Bhattacharjee J.K., “Dynamic Scaling and Large Scale Effects in Turbulence in Compressible Stratified Fluid”, Phys. Lett. A, 380:1-2 (2016), 222–226  crossref  isi
    9. Antonov N.V. Gulitskiy N.M. Kostenko M.M. Lucivjansky T., “Turbulent compressible fluid: Renormalization group analysis, scaling regimes, and anomalous scaling of advected scalar fields”, Phys. Rev. E, 95:3 (2017), 033120  crossref  mathscinet  isi  scopus
    10. Honkonen J., Lucivjansky T., Skultety V., “Influence of Turbulent Mixing on Critical Behavior of Directed Percolation Process: Effect of Compressibility”, Phys. Rev. E, 97:2 (2018), 022123  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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