Supplemental material PhD thesis

Chapter 2 -- Radial boundary layer structure and Nusselt number in Rayleigh-Bénard

Movie 2.1. Temperature field close to the bottom plate for the simulations at Ra = 2 x 10⁹, Pr = 0.7, and Γ = 0.5, with different grid resolutions. From left to right are simulations on grids with 129 x 65 x 257 (heights: 0.0021L, 0.0049L, 0.0079L, 0.0111L, and here λ;_θ;^sl=0.0056L), 193 x 65 x 257 (heights: 0.0021L, 0.0049L, 0.0079L, 0.0111L, and here λ_θ^sl=0.0059L), and 385 x 97 x 385 (heights: 0.0020L, 0.0044L, 0.0077L, 0.0112L, and here λ_θ^sl=0.0059L) grid points. The dimensionless time is indicated in the top of the movies and the temperature scale is identical in all cases. Note that in the underresolved simulation the smoothness of the solution is insufficient to represent all flow dynamics observed in the high resolution simulation. These movies are rendered with a lower resolution for the website.

Movie 2.2. Temperature field at mid height for the simulations at Ra = 2 x 10⁹, Pr = 0.7, and Γ = 0.5 with different grid resolutions. From left to right are simulations performed on a grids 129 x 65 x 257, 193 x 65 x 257, and 385 x 97 x 385. The dimensionless time is indicated in the top of the movies and the temperature scale is identical in all cases. Note that in the underresolved simulation the smoothness of the solution is insufficient to represent all flow dynamics observed in the high resolution simulation. These movies are rendered with a lower resolution for the website.