Free surface curvature&stability under pressure

Dear open source scientists,

I'm looking for software that allows me to compute&simulate the following:

First look at the picture I attached (b). We can see elongated complex structures holding a water layer above an enclosed air layer. This is due to the superhydrophibicity of the structures + only the top of these being superhydrophilic (it's called the 'Salvinia Effect'). Now what I'd like to do is: create CAD files of these elongated structures and use them in a simulation where the curvature of the interface varies with pressure and at what pressure the stability of the interface breaks (allowing the air to escape).

I'm new to using computer simulations and I wasn't able to figure out what software would suit the needs. OpenFOAM, Elmer, something else?

I would be very happy if someone would take the time to give me a helpful answer =)