🔥 Heat Conduction Simulator

The 2D heat equation ∂T/∂t = α∇²T solved in real time via FTCS finite differences. Click or drag to paint hot / cold sources and watch thermal energy diffuse across the grid.

Brush

Brush temp 100 °C Brush radius 3

Physics

Diffusivity α 0.25 Steps / frame 5

Statistics

Max T0.0 °C

Min T0.0 °C

Avg T0.0 °C

Step0

Tip: Paint a hot spot then add cold walls nearby. α controls how fast heat spreads — higher values reach equilibrium sooner. The FTCS scheme is stable for α·dt/dx² < 0.25.