# SST k-omega model

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== Specific Dissipation Rate== | == Specific Dissipation Rate== | ||

:<math> | :<math> | ||

- | {{\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] + 2( 1 - F_1 ) \sigma_{\omega 2} 1 \over \omega {{\partial k } \over {\partial x_i}} {{\partial \omega } \over {\partial x_i}} | + | {{\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] + 2( 1 - F_1 ) \sigma_{\omega 2} {1 \over \omega} {{\partial k } \over {\partial x_i}} {{\partial \omega } \over {\partial x_i}} |

</math> | </math> | ||

## Revision as of 07:16, 11 October 2005

## Contents |

## Kinematic Eddy Viscosity

## Turbulence Kinetic Energy

## Specific Dissipation Rate

## Closure Coefficients and Auxilary Relations

## References

**Wilcox, D.C. (1988)**, "Re-assessment of the scale-determining equation for advanced turbulence models", AIAA Journal, vol. 31, pp. 1414-1421.