Thermal convection in one, two, three and four dimensions
arXiv:2607.26372 · doi:10.1017/jfm.2026.11981
Abstract
We study by means of direct numerical simulations the influence of the dimensionality of convection on flow properties. We call attention to a few general principles from considering in totality the results from one dimension, two dimensions, three dimensions and four dimensions. In particular, we explore two practical aspects: (1) the transient time, or the amount of time it takes for the flow to reach the steady state; and (2) possible implications for the so-called ultimate state.
11 pages, 5 figures