Solutions to the SHJ test case. Left panels are figures reproduced from Heng et al. (2011) using the finite-difference model (reproduced by permission of Oxford University Press), and the right panels are results from this work for the “shallow” case (see Table 1 for explanation). The top row shows the temperature field at σ = 0.675 and 346 days. The middle and bottom rows show the zonal mean plots for temperature and wind respectively (i.e. zonally and temporally, from 200–1200 days, averaged).