Table 3
Courant numbers, number of time steps, work spent in evaluating the non-linear defects, and CPU times in seconds for the different runs of the vortex-shedding problem described in the text.
| Method | CFL | u | + c | Steps | Work | CPU time [s] | Speed-up | Potential speed-up |
|
|
||||||
| ESDIRK46-MS3I/SGS | 2000 | 1 | 432 | 136 | 3.0 | 11 |
| TVD-RK33 explicit | 0.6 | 3334 | 10 002 | 402 | – | – |
|
|
||||||
| ESDIRK46-MS3I/SGS | 4000 | 1 | 624 | 195 | 4.1 | 19 |
| TVD-RK33 explicit | 0.6 | 6667 | 20 001 | 802 | – | – |
|
|
||||||
| ESDIRK46-MS3I/SGS | 8000 | 1 | 872 | 273 | 5.9 | 36 |
| TVD-RK33 explicit | 0.6 | 13 334 | 40 002 | 1610 | – | – |
Notes. The listed speed-ups are calculated with the explicit runs taken as the reference. The last column gives the estimated speed-up of an ideal ESDIRK46-MS3I/SGS scheme, whose multigrid solver would converge at a rate that equals the smoothing factors listed in Table 4.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.