elliptic 2d grid generation between 2 boundries
 

Hello every body.
I need generate a 2D mesh in a cascade domain, so that mesh have orthogonality to the boundaries. I searched this subject and founded that H-type elliptic structured grid is best option.

What is the most efficient reference for my request?

Because this is my first experience, I want it explains formulations and discretizations simply. If there is no problem, It's better that you give me a reference which explains subject step by step and with a turbo machinery example. Of course if there is this reference:confused::confused::confused:.

Is there any suitable reference which answers my questions?

(for helping you understand my question, I attached my domain below)

Thank you for your help.