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Relative adjoint error δADJ (see text for details) for a grid size of nx = (256, 256)⊤ and a varying number of time steps nt. We consider the test problem SMOOTH A in Fig. 2. We report the CFL number c, the associated number of time steps nt, and the relative errors for the SL and the RK2A scheme.
| c | nt | SL | RK2A |
|---|---|---|---|
| 10 | 3 | 3.28E−3 | – |
| 5 | 5 | 1.26E−3 | – |
| 2 | 11 | 2.75E−4 | – |
| 1 | 21 | 7.72E−5 | – |
| 0.2 | 102 | 3.30E−6 | 1.24E−16 |
