Wilcox's k-omega model
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\alpha = {{5} \over {9}} | \alpha = {{5} \over {9}} | ||
</math> | </math> | ||
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:<math> | :<math> | ||
\beta = {{3} \over {40}} | \beta = {{3} \over {40}} | ||
</math> | </math> | ||
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| + | :<math> | ||
| + | \beta^* = {9 \over {100}} | ||
| + | </math> | ||
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:<math> | :<math> | ||
\sigma = {1 \over 2} | \sigma = {1 \over 2} | ||
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\sigma ^* = {1 \over 2} | \sigma ^* = {1 \over 2} | ||
</math> | </math> | ||
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:<math> | :<math> | ||
Revision as of 09:54, 6 October 2005
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..
