Modeling > Modeling Turbulence > Using K-Epsilon Turbulence > Formulation > Abe-Kondoh-Nagano Low-Reynolds Number K-Epsilon Model

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Abe-Kondoh-Nagano Low-Reynolds Number K-Epsilon Model

Basic Transport Equations

The transport equations for the Abe-Kondoh-Nagano k- model are:

(224)
(225)

where is a damping function given by:

(226)

is as defined in Eqn. 219 and:

(227)
Turbulent Production

The turbulent production term is defined identically to the corresponding term in the standard k-e model (see Eqn. 189).

Buoyancy Production

The production term is defined identically to the corresponding term in the standard k-e model (see Eqn. 193).

Compressibility Modification

The dilatation dissipation is defined identically to the corresponding term in the standard k-e model (see Eqn. 197).

Relation for Turbulent Viscosity

The turbulent viscosity is computed as:

(228)

The time scale is computed as in Eqn. 203 and is a damping function given by:

(229)
Model Coefficients
(230)

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