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Research Article

A balanced state consistent with planetary-scale motion for quasi-geostrophic dynamics

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Figures & data

Fig. 1. The velocity, temperature and forcing associated with the pressure field, P=(Γ+AsinωX) Yz. The vertical and horizontal structure of P is shown in three representative vertical levels (a). The horizontal wind vector fields with streamlines in lower level (z = 0.1) and high level (z = 1.0) are shown in (b) and (c), respectively. The horizontal structures of the driving forcing QL are shown in the three vertical levels in (d). The meridional and vertical velocity with the forcing QL in Yz plane is shown in (e) and (f), where two different X values are chosen as X=1.0 (e) and X = 0 (f) and the colour represents the forcing QL.

Fig. 1. The velocity, temperature and forcing associated with the pressure field, P=−(Γ+A sin ωX) Yz. The vertical and horizontal structure of P is shown in three representative vertical levels (a). The horizontal wind vector fields with streamlines in lower level (z = 0.1) and high level (z = 1.0) are shown in (b) and (c), respectively. The horizontal structures of the driving forcing QL are shown in the three vertical levels in (d). The meridional and vertical velocity with the forcing QL in Y – z plane is shown in (e) and (f), where two different X values are chosen as X=−1.0 (e) and X = 0 (f) and the colour represents the forcing QL.

Fig. 2. Same as in with the different pressure field P=ΓYz+Aeγzsin(ωX).

Fig. 2. Same as in Fig. 1 with the different pressure field P=−ΓYz+Ae−γz sin (ωX).