# Standard k-epsilon model

### From CFD-Wiki

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+ | == Production of k == | ||

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+ | <math> | ||

+ | P_k = - \rho \overline{u'_i u'_j} \frac{\partial u_j}{\partial x_i} | ||

+ | </math> | ||

+ | <br> | ||

+ | <math> P_k = \mu_t S^2 </math> | ||

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+ | Where <math> S </math> is the modulus of the mean rate-of-strain tensor, defined as : <br> | ||

+ | <math> | ||

+ | S \equiv \sqrt{2S_{ij} S_{ij}} | ||

+ | </math> | ||

## Revision as of 00:21, 14 September 2005

## Contents |

## Transport Equation for standard k-epsilon model

For k

For dissipation

## Modeling turbulent viscosity

Turbulent viscosity is modelled as:

## Production of k

Where is the modulus of the mean rate-of-strain tensor, defined as :

## Model Constants