Thermal convection in 1, 2, 3 and 4 dimensions
Ambrish Pandey, Harshit Tiwari, Katepalli R. Sreenivasan
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 1D, 2D, 3D and 4D. 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.
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