Maximumgravity1, I don't know of any vortex modeling aps as it can be quite complex math, they use the latest super computers to calculate fluid dynamics and even then its not completely accurate modeling.

There are some very simple examples you can play with here if you download the player .http://demonstrations.wolfram.com/se...x=0&submit.y=0

It probably better to just read about how they work, id recommend 
http://www.sciencetoymaker.org/vortex/explore.htm ( this has your bottle example)

and the work of Viktor Schauberger since he did a lot of water related stuff, 
http://evgars.com/shauberg1.htm




Back to the torus's I was always wondering what the mathematical equivalents to the size of the torus was in relation to its ring, aka how big the doughnut hole is and how did the size effect the torus properties.

I didn't realize it but there are several differently names torus's depending on this. Most of the "Marko" coils I've seen are actually called "ring torus's" and I think that's mainly due to the fact that the windings need some space to be wrapped, especially if you have fat fingers 

But check this out, 




Now if you take the horn torus you find the golden triangle 


That image is from a Dr. Shikhirin paper http://www.elastoneering.com/


ps. The plural of torus is actually tori and not torus's but it sounds weird.