Table 2 Comparison of computed Nusselt number Nu and RMS velocity \(V_{{\mathrm{rms}}}\) with benchmark values from Blankenbach et al. [35]\(^{\mathrm{a}}\) and Koglin Jr et al. [36]\(^{\mathrm{b}}\)
Ra | Nu | \(V_{{\mathrm{rms}}}\) | ||
|---|---|---|---|---|
This work | Benchmark | This work | Benchmark | |
\(10^4\) | 4.884409 | \(4.884409^{\mathrm{a}}\) | 42.864973 | \(42.864947^{\mathrm{a}}\) |
\(10^5\) | 10.534113 | \(10.534095^{\mathrm{a}}\) | 193.215527 | \(193.21454^{\mathrm{a}}\) |
\(10^6\) | 21.972563 | \(21.972465^{\mathrm{a}}\) | 834.004359 | \(833.98977^{\mathrm{a}}\) |
\(10^7\) | 45.638611 | \(45.62^{\mathrm{b}}\) | 3633.932754 | – |