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
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 isExpand
The return to isotropy of homogeneous turbulence
Three types of homogeneous anisotropic turbulence were produced by the plane distortion, axisymmetric expansion and axisymmetric contraction of grid-generated turbulence, and their behaviour inExpand
Computational Modeling of Turbulent Flows
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
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