3D Rayleigh-Bénard convection, simulated on a 100x100x50 grid, with Rayleigh number
and Prandtl number Pr=1 (see description of the 2D case for more details). The colors relate to the temperature distribution, and the streamlines are derived from the fluid velocity.
Predictions of the critical Rayleigh number
are accurate in the 3D case, just as in 2D simulations. On a coarse grid with resolution 60x30x30, a value of
, as compared to the expected value of
.