Fast sweeping

Still working on the FLIP solver.
The fast sweeping algorithm is significant for FLIP solver, in generating levelset data and extending velocity field.

Based on Hongkai Zhao's paper I implemented the fast sweeping algorithm for the FLIP solver.
However proving part for the paper was using 2d example. So I extended the proving part to 3D, and here's the scanned image of the proving(also the pseudo code for the core part is included).

Compared to the implementation I did during the summer, the current one would be more abstract because of I'm using the result of my own proving directly. As a result of which, the operation would be faster, because the number of comparison and numerical calculation are minimized.

As I always says, math and physics are real science compared to computer science. In my biased personal opinion, a huge difference between science and engineering is: science is continuous and engineering is discretized.

Thanks math and physics for always providing guidance for everything.
I really enjoy this kind of life, surrounded by science. Maybe I should go for a physics phd later. Seriously I'm not kidding.