# Kinetic energy subgrid-scale model

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The subgrid-scale kinetic energy is defined as <br> | The subgrid-scale kinetic energy is defined as <br> | ||

:<math> k_{\rm sgs} = \frac{1}{2}\left(\overline{u_k^2} - \overline{u}_k^2 \right) </math> | :<math> k_{\rm sgs} = \frac{1}{2}\left(\overline{u_k^2} - \overline{u}_k^2 \right) </math> |

## Latest revision as of 09:46, 17 December 2008

The subgrid-scale kinetic energy is defined as

The subgrid-scale stress can then be written as

this gives us the transport equation for subgrid-scale kinetic energy

The subgrid-scale eddy viscosity,, is computed using as