Can somebody recommend a package that can deal with 3 phases and a free surface.

my main research area is three component fluid simulation. You can look at my antibubble simulation site and also main page, too. There are a couple of ternary phase separations.

http://www.ima.umn.edu/~junkim/anti_bubble.htm

http://www.ima.umn.edu/~junkim

1) nice pictures 2) I have a question to that: where do you see such flows in nature or industry ?

For antibubble, you can get more details at antibubble website, http://www.jtan.com/antibubble/

And for the jet pinch off, it can be found in many industrial applications including ink-jet printers, internal combustion engines, chemical reators, oil-water separators and fuel atomizers.

For the cocontinous phase simulation, development of lithium-ion batteries.

Some are academic experiments, some are just for fun. Nowadays, I am reorganizing my website for showing people who may hire me as a postdoc my research works.