Question: solve nonlinear equation for transonic inviscid flow over NACA 0012

Hi there, I just wanna solve a nonlinear diff equation for a 2 variables function phi.

Boundary conditions :

  1. at the wall over NACA 0012 : the derivatives wrt x & y are null
  2. for y at infinity : the derivatives wrt x & y are null

How to deal with curved body unlike the flat plate ?

Thanks for your help in advance!

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