To summarize this chapter, we obtained the redistribution equations
to diffuse the vortices. Those equations depend
only on the positions of the vortices in the neighborhood of the vortex to
be diffused. Hence, to diffuse a vortex all we need to do is identify
the neighboring vortices and then solve the redistribution equations;
the significant advantage of this procedure is that it is mesh-free
and independent of the distribution of the vortices.
However, we still need to establish the convergence of our procedure;
we will consider that in the next chapter.