# Renormalization-group analysis of turbulence.

@article{Yakhot1986RenormalizationgroupAO, title={Renormalization-group analysis of turbulence.}, author={Yakhot and Orszag}, journal={Physical review letters}, year={1986}, volume={57 14}, pages={ 1722-1724 } }

Using renormalization-group methods and the postulated equivalence between the inertial-range structures of turbulent flows satisfying initial and boundary conditions and of flows driven by a random force, we evaluate the Kolmogorov constant (1.617) and Batchelor constant (1.161), skewness factor (0.4878), power-law exponent (1.3307) for the decay of homogeneous turbulence, turbulent Prandtl number (0.7179), and von K\'arm\'an constant (0.372). This renormalization-group technique has also been…

## 1,507 Citations

### Computational test of the renormalization group theory of turbulence

- PhysicsJ. Sci. Comput.
- 1988

The results of numerical simulations of random-force-driven Navier-Stokes turbulence designed to test predictions of the renormalization group theory of turbulence generate fully developed turbulence with a relatively long inertial range.

### Renormalization-group analysis of turbulent transport

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- 1994

The turbulent transport is investigated by the renormalization-group method. It is shown that the deviation from the Gaussian distribution for the turbulent velocity has important effects upon the…

### Renormalization Group Model of Large-Scale Turbulence in Porous Media

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- 2006

Renormalization group methods are used to develop a macroscopic (large-scale) turbulence model for incompressible flow in porous media. The model accounts for the large-distance and large-time…

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

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- 1997

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…

### Renormalization group theory for turbulence: Eddy‐viscosity type model based on an iterative averaging method

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- 1997

The renormalization group (RNG) theory of turbulence is often used for the forced Navier–Stokes equation in order to investigate turbulence models in Fourier space. The strong point of this kind of…

### Renormalization Group on Turbulence

- Physics
- 2014

In 1986, Yakhot and Orszag developed a dynamic renormalization group method to solve the turbulence problem. In this paper, a particular random force is added to the Navier-Stokes Equation, and then…

### Renormalization-group theory for Alfvén-wave turbulence

- PhysicsJournal of Plasma Physics
- 1988

є-Expansion renormalization-group theory is applied to a model Alfvén-wave turbulence equation. In particular, the effect of small ‘unresolvable’ subgrid scales on the large scales is computed. It is…

### Two-parameter expansion in the renormalization-group analysis of turbulence

- Physics
- 1995

The renormalization of the solution of the Navier-Stokes equation for randomly stirred fluid with long-range correlations of the driving force is analysed near two dimensions. It is shown that a…

### Application of renormalization group theory to the large-eddy simulation of transitional boundary layers

- Physics
- 1990

An eddy viscosity model based on the Renormalization Group (RNG) theory of Yakhot and Orszag [J. Sci. Computing, 1(1):3–51, 1986] is applied to the large-eddy simulation of transition in a flat-plate…

## References

### PRINCETON UNIVERSITY, PRINCETON, NEW JERSEY

- Phys. Fluids
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