Notes. ‘Central FV’ is the central finite-volume described in Tomita et al. (2001) and ‘UPW biased with FL’ is the upwind-biased scheme from Miura (2007) with the flux limiter from Thuburn (1996). The time step used for the upwind-biased simulations without the flux limiter is the same as using the flux limiter. We note that the number of steps for the full integration depends on the time step, which needs to be large enough to complete a full revolution across the sphere (e.g. 144 steps if the time step is 7200 s and if the period in Eq. (8) is set to 12 days).