Linear eddy viscosity models
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# [[Algebraic turbulence models|Algebraic models]] | # [[Algebraic turbulence models|Algebraic models]] | ||
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# [[One equation turbulence models|One equation models]] | # [[One equation turbulence models|One equation models]] | ||
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# [[Two equation models]] | # [[Two equation models]] | ||
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[[Category:Turbulence models]] | [[Category:Turbulence models]] |
Revision as of 14:41, 4 November 2009
These are turbulence models in which the Reynolds stresses, as obtained from a Reynolds averaging of the Navier-Stokes equations, are modelled by a linear constitutive relationship with the mean flow straining field, as:
where
- is the coefficient termed turbulence "viscosity" (also called the eddy viscosity)
- is the mean turbulent kinetic energy
- is the mean strain rate
- Note that that inclusion of in the linear constitutive relation is required by tensorial algebra purposes when solving for two-equation turbulence models (or any other turbulence model that solves a transport equations for .
This linear relationship is also known as the Boussinesq hypothesis. For a deep discussion on this linear constitutive relationship, check section Introduction to turbulence/Reynolds averaged equations.
There are several subcategories for the linear eddy-viscosity models, depending on the number of (transport) equations solved for to compute the eddy viscosity coefficient.