The fire anims are essentially the same technique as the 2 explorations below, but pushing it a lot further. Short of giving an outright recipe, the SLA shaders involved are, Fusion (lots), 3d Noise, Distorter, Colorizer, Gradient. The scenes contain only the torus and a light. That's all. No particles or nuttin'.
In both of these, the camera is IN the flames at the end. True volumetric, fly-thru-able smoke and fire.
The 2 examples above are pretty much the same materials with only a few params tweaked.
These are an extension of my previous explorations of SLA on volumetric lights.
First appearing here: Gossamer thing
And here: Space thing