Some minimization calculations concerning the effect of horizontal eddy momentum fluxes on the equilibrium zonal mean motions
A simplified linear two-level zonally averaged atmospheric model is used to determine the minimum zonal kinetic energy (ZKE) plus the zonal available potential energy (ZAPE) of equilibrium states for any distribution of horizontal eddy momentum fluxes. The model assumes fixed thermal forcing except for coefficients of the longwave radiative response to temperature. Some distinctive features of the model solutions are described. It is found that: the states of minimum ZKE or minimum ZKE + ZAPE contain a jet stream; the structure of the zonal winds is dependent on thermal forcing; the horizontal eddy momentum fluxes which minimize ZKE or ZKE + ZAPE can be up-gradient everywhere with respect to the upper level zonal mean zonal winds, or down-gradient depending on the thermal forcing; ZKE minimization results in a jet stream at 54 deg latitude independent of external parameters. The minimization of ZKE + ZAPE results in a jet stream at 35 deg latitude for a planet of the earth's radius and similar static stability.