4.13.3. DES with the Realizable k-ε Model

This DES model is similar to the Realizable - model discussed in Realizable k-ε Model, with the exception of the dissipation term in the equation. In the DES model, the Realizable - RANS dissipation term is modified such that:

(4–275)

where

(4–276)

(4–277)

(4–278)

where is a calibration constant used in the DES model and has a value of 0.61 and is the grid spacing, which in the case of a rectilinear hexahedral cell is the maximum edge length (for other cell types and/or conditions, an extension of this concept is used).

For the case where , you will obtain an expression for the dissipation of the formulation for the Realizable - model (Realizable k-ε Model): Similarly to the Spalart-Allmaras model, the delayed concept can be applied as well to the Realizable DES model to preserve the RANS mode throughout the boundary layer. The DES length in Equation 4–275 is redefined such that

(4–279)


Note:  In Equation 4–279 is used as defined for the Spalart-Allmaras model in Equation 4–273 with the exception that the value of the constant is changed from 8 to 20 and is replaced with () in the calculation of in Equation 4–274.