Table B.1
Numerical simulation computation times (run on a single processor) for three different methods to treat thermal conduction.
| Case | N z | τ sts | τ cyc | τ exp | τcyc/ | τexp/ |
| (min) | (min) | (min) | τ sts | τ sts | ||
|
|
||||||
| 1 | 500 | 2.45 | 1.98 | 2.25 | 0.81 | 0.92 |
| 1000 | 6.73 | 6.47 | 15.72 | 0.96 | 2.34 | |
| 2000 | 12.23 | 29.07 | 128 | 2.38 | 10.5 | |
| 4000 | 42.6 | 199 | 592 | 4.67 | 13.9 | |
| 8000 | 205 | 1537 | 4699 | 7.50 | 22.9 | |
|
|
||||||
| 2 | 500 | 6.32 | 8.12 | 25.7 | 1.28 | 4.07 |
| 1000 | 18.5 | 45.02 | 122 | 2.43 | 6.59 | |
| 2000 | 48.8 | 308 | 970 | 6.31 | 19.9 | |
| 4000 | 135 | 2385 | 7772 | 17.7 | 57.6 | |
| 8000 | 607 | 18 778 | 47 123* | 30.9 | 77.6 | |
|
|
||||||
| 3 | 500 | 12.15 | 33.13 | 168 | 2.73 | 13.8 |
| 1000 | 49.67 | 257 | 790 | 5.17 | 15.9 | |
| 2000 | 138 | 2023 | 6238 | 14.7 | 45.2 | |
| 4000 | 579 | 15 958 | 48 405* | 27.6 | 83.6 | |
| 8000 | 2440 | 108 898* | 238 620* | 44.6 | 97.8 | |
Notes. The columns show the number of grid points (uniform grid used), the computation times by treating thermal conduction using super time stepping methods (sts), explicit time step sub-cycling (cyc) and explicit time step evolution (exp), and the computation time ratios between these methods. The simulations (Cases 1−3 of Table 1) are run to a final time of 60 s, which coincides with the end of the heating period. The asterisks indicate runs where the computation time to the final time has been estimated based on results over a shorter period.
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