Note that these equations have been simplified under the assumption that the spacing between the grid points will be the same in the x and y direction. It was also necessary to reapply the region of our object having zero vorticity and zero stream after every cycle.
Code
The following was the code, written in python, used to examine the flow of fluid with different viscosities about a circular object. It was necessary to find appropriate time steps as related to the size of the box and to the given viscosity so that convergence could be maintained as low viscosity does not allow for enough dissipation of the vorticity function.
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