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. We use a normal-mode analysis to investigate the impacts of the horizontaland vertical discretizations on the numerical solutions of thequasi-geostrophic anelastic baroclinic and barotropic Rossby modes on amidlatitude β plane. The dispersion equations are derived for thelinearized anelastic system, discretized on the Z, C, D, CD, (DC), A, E and Bhorizontal grids, and on the L and CP vertical grids. The effects of varioushorizontal grid spacings and vertical wavenumbers are discussed. A companionpaper, Part 1, discusses the impacts of the discretization on theinertia–gravity modes on a midlatitude f plane. The results of our normal-mode analyses for the Rossby waves overall supportthe conclusions of the previous studies obtained with the shallow-waterequations. We identify an area of disagreement with the E-grid solution.

Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes