I\'m looking for primer material on the modelling the physics of liquids. In par

Question

I'm looking for primer material on the modelling the physics of liquids. In particular I want to make a small simulation (I'm a programmer by profession) of throwing ink at a board, much like this.

http://www.pond5.com/stock-footage/670934/ink-splatter.html

I'm researching ways to approach the problem before I start banging on the keyboard. But I'm finding it hard to find an article about procedural generation of splatters and pools of liquid. There are a lot of search results for After Effects plugins, but this is of limited use. It could be possible that an open source AE plugin exists out there that I can analyze, but I would prefer to have a good maths based article to draw from.

My math skills are quite basic so I'm fully prepared for a hard slog on this one. I would like to make some sort of road map for myself to get to a level where I can make a simulation such as this.

Guidance is much appreciated.

Explanation / Answer

There are two separate physical considerations regarding the video you posted:

The physics of a spherical drop hitting a dry surface
Multiple spherical drops hitting the surface at different times

Once the first is solved, you should be able to simulate the second easily.

Regarding the first point, a quick arxiv search returns the following results:

Impact of a Viscous Liquid Drop
Rayleigh-Plateau instability causes the crown splash
Thin Film Formation During Splashing of Viscous Liquids
How micropatterns and air pressure affect splashing on surfaces

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