Wilcox's k-omega model
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Contents |
Kinematic Eddy Viscosity
Turbulence Kinetic Energy
![{{\partial k} \over {\partial t}} + U_j {{\partial k} \over {\partial x_j }} = \tau _{ij} {{\partial U_i } \over {\partial x_j }} - \beta ^* k\omega + {\partial \over {\partial x_j }}\left[ {\left( {\nu + \sigma ^* \nu _T } \right){{\partial k} \over {\partial x_j }}} \right]](/W/images/math/1/a/4/1a436edcf81f2ccbdf53dfa7dd9e0550.png)
Specific Dissipation Rate
![{{\partial \omega } \over {\partial t}} + U_j {{\partial \omega } \over {\partial x_j }} = \alpha {\omega \over k}\tau _{ij} {{\partial U_i } \over {\partial x_j }} - \beta \omega ^2 + {\partial \over {\partial x_j }}\left[ {\left( {\nu + \sigma \nu _T } \right){{\partial \omega } \over {\partial x_j }}} \right]](/W/images/math/b/3/6/b361dbe1c46fcbcbf1795a2997a00e09.png)
Closure Coefficients and Auxilary Relations
References
- Wilcox, D.C. (2004), Turbulence Modeling for CFD, ISBN 1-928729-10-X, 2nd Ed., DCW Industries, Inc..
