⛪ Rock-Hewn Church: How Rock Cover Damps and Delays Temperature Swings (2D)

Cross-section of a room cut into solid rock beneath a sun-heated surface, coloured by temperature as a daily or yearly heat wave moves downwards. Set the rock cover, diffusivity, conductivity, surface swing, mean temperature and period, and see the damping depth, how much of the swing reaches the room, the time delay and the heat flux at the surface. The finite-difference wave, the penetration depth, the surface flux and the scaling laws are checked numerically, with four in-page numerical checks.