StreamFunction-Vorticity based solver for Navier stokes

The vorticity-stream function formulation sometimes will offer more insight on the flow feature than the conventional velocity based formulation.
Herewith, The vorticity-stream function solver Matlab code is attached.
Since the NS is solved in non-dimensional form, Changing 'nu' is enough to change the flow field.


One mandatory criteria 
Assuming dx and dy are same =h

nu*dt/h <=0.25
Change the mesh size, dt and h accordingly
The code is validated for simple channel flow case, but for turbulence study some more work has to be done.

Pictures below




 download the code here:

Contact me in case of any questions.. happy to discuss
Cheers
Dhanush
  

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