Heat Transfer Visualizer

This is a visualization of heat equation based on a heat equation differential equation:

$$\frac{\partial T}{\partial t} = \alpha (\frac{\partial^2 T}{\partial x^2} + \frac{\partial^2 T}{\partial y^2})$$

This formula can be rewritten to calculate T(x,y,t) based on the temperature at the previous interval. The formula can be visualized as a stencil.

The blue dot signifies T(x,y,t), whereas the red dots signify values of T at the previous time stamp on which T at the current time step depends.

Stencil being one of the very popular parallel patterns, was a topic of Chapter 8 in "Programming Massively Parallel Processors" by David Kirk and Wen-mei Hwu which inspired me to use this visualization and apply the suggested optimization to parallel stencil.

heat.transfer.1.mp4