Von Karman Integral Length Scale

Txingurri

I'm trying to introduce some data from the Von Karman stochastic anisotropic model into a k-ep model. This Von Karman model speaks of three integral length scales, one for each cartesian direction. Meanwhile, the k-ep model is an isotropic model, so that just one length scale is used. I'd like to find:

1.- A good and clear definition for the Von Karman anisotropic integral length scale.

2.- A good and clear definition for the integral length scale used in the k-ep model.

3- A relationship between both of them allowing the introduction of the first one as an initial condition into the k-ep model.

Regarding this last question, I guess I should first reduce the three values to an unique one, and then operate with it to get an equivalent number to be introduced into the CFD model.