Hello!
Thanks for your personal invitation! Your problem is interesting, but may be complex too. It depends on degree of simplification of real phenomena. I solved similar problems, which arise during wind turbine optimization by CFD programs. This problem close to my interests, because my specialization - gas turbines, in particular, CAD/CAE development of compressor and turbine blades, numerical and experimental investigations of the flow in it's passages. I conducted such analysis in ANSYS, Salome-Meca, simulated steady flows in FLOTRAN and unsteady flows with Gerris, solved PDE systems in Mathematica Wolfram and developed scripts in MATLAB. All these experiences may be useful for your task solving.
If you interested in my participation in the project, I'd like to discuss it with you at every time.
Sincerely yours
Mikhailo Kudin.