Dr Biddle, one if there are three temperatures defined on the surface? How would the adiabatic lines be decided then? Also, how would one handle heat generation?
In the case of three different surface temperatures, I think it would be hard to intuitively draw the adiabatic lines. I would start with drawing the isothermic lines using the calculated node temperatures, and then draw in the adiabats by trying to create curvi-linear squares.