Table 4
Smoothing factor, μ, and two-grid asymptotic convergence factor, ϱ2 − grid, as obtained by local Fourier analysis for an implicit stage of the ESDIRK46-MS3I/SGS scheme in the vortex shedding problem set-up, compared to the observed asymptotic multigrid convergence rate determined from Fig. 12, as a function of the Courant number.
| CFL | u | + c | μ | ϱ 2 − grid | ϱ MG,observed |
|
|
|||
| 2000 | 0.3078 | 0.7224 | 0.63 |
| 4000 | 0.3081 | 0.7632 | 0.71 |
| 8000 | 0.3082 | 0.7948 | 0.77 |
| 10000 | 0.3083 | 0.8025 | – |
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