Created visualizations. Need to put it away in another file and import it as a pretty function, so as to not hardcode major options. Need to add Source and Boundaries.

Second part of the equation still left to be solved. Visualizing multiple particle movements will be a pain. A major one. Let's see how that works out. Ux and Uy visualization together is a problem
Solved the first approximation. The lack of dispersion is unnvering. The second order term might take care of it. God knows.
Redid all changes. Need to redo the summation equations. Too cinfusing right now
Fixed the simulation. Now runs perfectly. Need to add non-linearities to this. Will be done tonight.
Removed solver.pyc
Added new ource as a sin wave. Mixing looks fun.
Added comments as well as hardcoded figure names. Pain this is.
What ever works till now. Not getting a transverse shear wave.
Could i be because of not solving the dy equation? Has to be, let's gve
that a shit.
Added old uncommittted stuff. Poor practices galore :/