TY - JOUR

T1 - Turbulent compressible fluid: Renormalization group analysis, scaling regimes, and anomalous scaling of advected scalar fields

AU - Antonov, N. V.

AU - Gulitskiy, N. M.

AU - Kostenko, M. M.

AU - Lucivjansky, T.

PY - 2017

Y1 - 2017

N2 - We study a model of fully developed turbulence of a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field-theoretic renormalization group. In this approach, scaling properties are related to the fixed points of the renormalization group equations. Previous analysis of this model near the real-world space dimension 3 identified a scaling regime [N. V. Antonov et al., Theor. Math. Phys. 110, 305 (1997)]. The aim of the present paper is to explore the existence of additional regimes, which could not be found using the direct perturbative approach of the previous work, and to analyze the crossover between different regimes. It seems possible to determine them near the special value of space dimension 4 in the framework of double y and ε expansion, where y is the exponent associated with the random force and ε = 4 − d is the deviation from the space dimension 4.Our calculations show that there exists an additional fixed point that governs scaling behavior. Turbulent advection of

AB - We study a model of fully developed turbulence of a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field-theoretic renormalization group. In this approach, scaling properties are related to the fixed points of the renormalization group equations. Previous analysis of this model near the real-world space dimension 3 identified a scaling regime [N. V. Antonov et al., Theor. Math. Phys. 110, 305 (1997)]. The aim of the present paper is to explore the existence of additional regimes, which could not be found using the direct perturbative approach of the previous work, and to analyze the crossover between different regimes. It seems possible to determine them near the special value of space dimension 4 in the framework of double y and ε expansion, where y is the exponent associated with the random force and ε = 4 − d is the deviation from the space dimension 4.Our calculations show that there exists an additional fixed point that governs scaling behavior. Turbulent advection of

U2 - 10.1103/PhysRevE.95.033120

DO - 10.1103/PhysRevE.95.033120

M3 - Article

VL - 95

SP - 033120

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

ER -