# Turbulent stress invariant analysis : Clarification of existing terminology

@article{Simonsen2005TurbulentSI, title={Turbulent stress invariant analysis : Clarification of existing terminology}, author={Are Johan Simonsen and Per-{\aa}ge Krogstad}, journal={Physics of Fluids}, year={2005}, volume={17}, pages={088103} }

As a means of studying the structure of the turbulence, the time mean invariants, defined according to the theory of Lumley [“Computational modelling turbulent flows,” Adv. Appl. Mech. 18, 123 (1978)] has proven to be a useful and popular tool. According to the theory there is a domain, known as the anisotropy invariant map, within which all realizable Reynolds’s stress invariants must lie. The borders of this domain describe different states of the turbulent stress tensor. It has been found… Expand

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#### References

SHOWING 1-5 OF 5 REFERENCES

Invariant Analysis of Turbulent Pipe Flow

- Physics
- 2000

The anisotropy analysis of Lumley provides a useful tool to quantify the degree of anisotropy in turbulent flows. Also included in the analysis are relations which may be used to check if the flow is… Expand

The return to isotropy of homogeneous turbulence

- Physics
- 1977

Three types of homogeneous anisotropic turbulence were produced by the plane distortion, axisymmetric expansion and axisymmetric contraction of grid-generated turbulence, and their behaviour in… Expand

Computational Modeling of Turbulent Flows

- Physics, Mathematics
- 1979

Publisher Summary This chapter discusses that in many situations of practical importance, “second-order modeling” technique makes possible computations that often agree with what data is available.… Expand

On the structure of homogeneous turbulence

- Physics
- 1985

Full turbulence simulation has been conducted of homogeneous turbulence subject to irrotational strains and under relaxation from these. The behavior of the anisotropy in the Reynolds stress,… Expand

Computational modelling of turbulent flows

- Adv . Appl . Mech .
- 1978