k–omega turbulence model

In computational fluid dynamics, the k–omega (k–ω) turbulence model is a common two-equation turbulence model, that is used as an approximation for the Reynolds-averaged Navier–Stokes equations (RANS equations). The model attempts to predict turbulence by two partial differential equations for two variables, k and ω, with the first variable being the turbulence kinetic energy (k) while the second (ω) is the specific rate of dissipation (of the turbulence kinetic energy k into internal thermal energy).

Standard (Wilcox) k–ω turbulence model [1]

The eddy viscosity νT, as needed in the RANS equations, is given by: νT = k, while the evolution of k and ω is modelled as:

For recommendations for the values of the different parameters, see Wilcox (2008).

Notes

References

  • Wilcox, D. C. (2008), Formulation of the k–ω Turbulence Model Revisited, 46, AIAA Journal, pp. 2823–2838, Bibcode:2008AIAAJ..46.2823W, doi:10.2514/1.36541
  • Wilcox, D. C. (1998), Turbulence Modeling for CFD (2nd ed.), DCW Industries, ISBN 0963605100
  • Bradshaw, P. (1971), An introduction to turbulence and its measurement, Pergamon Press, ISBN 0080166210
  • Versteeg, H.; Malalasekera, W. (2007), An Introduction to Computational Fluid Dynamics: The Finite Volume Method (2nd ed.), Pearson Education Limited, ISBN 0131274988
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