# Advection of a passive scalar field by turbulent compressible fluid: renormalization group analysis near d = 4

@inproceedings{Antonov2017AdvectionOA, title={Advection of a passive scalar field by turbulent compressible fluid: renormalization group analysis near d = 4}, author={N. V. Antonov and N. M. Gulitskiy and M. M. Kostenko and T. Luvcivjansk'y}, year={2017} }

The field theoretic renormalization group (RG) and the operator product expansion (OPE) are applied to the model of a density field advected by a random turbulent velocity field. The latter is governed by the stochastic Navier-Stokes equation for a compressible fluid. The model is considered near the special space dimension d = 4. It is shown that various correlation functions of the scalar field exhibit anomalous scaling behaviour in the inertial-convective range. The scaling properties in the… CONTINUE READING

Top 3 of 5 Citations

Passive Advection of a Vector Field by Compressible Turbulent Flow: Renormalizations Group Analysis near d = 4 †

Renormalization Group Analysis of Models of Advection of a Vector Admixture and a Tracer Field by a Compressible Turbulent Flow

Statistical symmetry restoration in fully developed turbulence: Renormalization group analysis of two models.

8

5 Citations

Renormalization Group Analysis of Models of Advection of a Vector Admixture and a Tracer Field by a Compressible Turbulent Flow

- Mathematics
- 2019

Statistical symmetry restoration in fully developed turbulence: Renormalization group analysis of two models.

- Physics, Medicine
- 2018

- 8
- PDF

Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near d = 4

- Physics
- 2017

- 3
- PDF

Stochastic Navier-Stokes Equation for a Compressible Fluid: Two-Loop Approximation

- Mathematics, Physics
- 2018

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 69 REFERENCES

Anomalous scaling of passive scalar fields advected by the Navier-Stokes velocity ensemble: effects of strong compressibility and large-scale anisotropy.

- Medicine, Physics
- 2014

- 21
- PDF

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

- Medicine, Physics
- 2017

- 12
- PDF

Anomalous scaling in magnetohydrodynamic turbulence: Effects of anisotropy and compressibility in the kinematic approximation.

- Physics, Medicine
- 2015

- 15
- PDF

Anomalous scaling of a passive scalar advected by the Navier-Stokes velocity field: two-loop approximation.

- Physics, Medicine
- 2005

- 36
- PDF

Renormalization group, operator product expansion and anomalous scaling in models of turbulent advection

- Physics
- 2006

- 64

Renormalization group analysis of a turbulent compressible fluid near d = 4: Crossover between local and non-local scaling regimes

- Physics
- 2016

- 7
- PDF