Flux Sim is thermal simulation program I wrote to test the Eigen matrix math library and the SFML graphics library.

The thermal dynamics are performed by iteratively solving a large spare matrix linking each neighboring cell (image pixel) to each other cell and locally equalizing the temperatures, simulating heat flow.

The physics and mathematical infrastructure for this program were derived from Nuclear Heat Transport by M. M. El-Wakil

This application accurately simulates the thermal transport over time within a piece of aluminum,
although other materials can be added with material files which specify the material heat capacity at different temperatures.

Because this application simply simulates a massive 2D grid as a matrix, it was easy to add support for insulated points and fixed-temperature points.
Simulating additional geometry, while certainly possible, has not been experimented with.