Render burning wireframe effect

I tried many fire simulations, but I don’t actually quite get an effect like in this video, starting at around 1:35 until 1:50 min which is exactly what I try to achieve.

Does anybody know, how to do this?

http://i.stack.imgur.com/byjf5.png
I already tried to ask “Sebastian Lukaszuk” directly, but I didn’t receive an answer…

I don’t think the effect on the video is a fire/smoke simulation… but for a burning wireframe you can simply add a skin modifier to your cube (controlling the size of the wireframe can be done in edit mode, and with all vertices selected, change their radius with CTRL+A).

Then perform the simulation as you would normally.
You can also use some force fields to add more dynamics to it.