What interesting application areas utilise electrical engineering simulation tools, e.g modelling mechanical analogues?
Thermal modeling is a good application of electronic modeling methods that is also necessary directly in most electronic design.
There's no analog of inductors in thermal modeling, but resistors, capacitors, and even transmission lines are useful, especially if you are modelling dynamic situations where you may have power varying as a function of time.
For example, from here is a model of transistor Tj with periodic avalanches.