Zonal mean theory
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Momentum equations
The TEM form of the momentum equations for this model are
\[\frac{\partial \overline{u}_{k}}{\partial t}
=
f \overline{v}_{k}^{*}
- \overline{v^{\prime}_{k} q^{\prime}_{k}}
+ (-\alpha)^{k+1} F_{k} (\overline{\psi}_{1} - \overline{\psi_{2} - [\overline{\psi}_{bg, 1} - \overline{\psi}_{bg,2}])
- \delta_{k,2}\]