A simulation is initialised with an exact solution found by Lamb [11] for inertia-gravity waves in a circular, flat-bottomed basin on an f-plane.
The waves should rotate unchanged around the basin. This is a good test of the shallow-water solver with Coriolis terms and non-trivial coastlines.
Figure 76 illustrates the solution obtained after three wave periods.
Following [5], Table 13 presents the phase error and the maximum correlation between the computed solution and the exact solution. Note that these results are not directly comparable to [5], because the timestep used is much larger. The time-explicit codes tested in [5] have stronger stability requirements than Gerris.
Level Maximum C Angle of max C 5 0.8645 2.7 6 0.9717 0.6 7 0.9923 0.2
Same test case as before but with adaptive refinement (using the vorticity criterion).
Figure 77 illustrates the solution obtained after three wave periods.
Figure 77: Surface-height after a rotation of 3 wave periods. The maximum resolution is 9.375 km (dark red), the minimum resolution is 150 km (dark blue). 
Level Maximum C Angle of max C 5 0.8648 2.6 6 0.9707 0.6 7 0.991 0.4
