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Model fomulation and parameterization

I've been looking for a detailed model description in the documentation available in the  website and the reference paper but couldn't find it. In my ongoing work, I need to describe the equations used to estimate the particles trajectories and the model parameterization (i.e., the horizontal and vertical diffusivity). Is there any technical documment or publication where I can find this information? 
Thank you in advance for your help.

Ichthyop version: 
Ichthyop 3.3alpha
Hydrodynamic dataset: 
Operating system: