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Volume 11, issue 5 | Copyright
Geosci. Model Dev., 11, 1785-1797, 2018
https://doi.org/10.5194/gmd-11-1785-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Methods for assessment of models 08 May 2018

Methods for assessment of models | 08 May 2018

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

Celal S. Konor and David A. Randall Celal S. Konor and David A. Randall
  • Department of Atmospheric Science, Colorado State University, Fort Collins, CO 80523, USA

Abstract. We use a normal-mode analysis to investigate the impacts of the horizontal and vertical discretizations on the numerical solutions of the quasi-geostrophic anelastic baroclinic and barotropic Rossby modes on a midlatitude β plane. The dispersion equations are derived for the linearized anelastic system, discretized on the Z, C, D, CD, (DC), A, E and B horizontal grids, and on the L and CP vertical grids. The effects of various horizontal grid spacings and vertical wavenumbers are discussed. A companion paper, Part 1, discusses the impacts of the discretization on the inertia–gravity modes on a midlatitude f plane.

The results of our normal-mode analyses for the Rossby waves overall support the conclusions of the previous studies obtained with the shallow-water equations. We identify an area of disagreement with the E-grid solution.

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We have discussed the effects of discretization on dispersion of midlatitude Rossby waves on the A, B, C, CD, (DC), D, E and Z horizontal grids, and the L and CP vertical grids. The Z, C, D and CD (DC) grids generate similar dispersion of the baroclinic and barotropic Rossby modes. The A, E and B grids generate multiple (non-unique) solutions. The modes with the smallest resolvable vertical scale on the L grid do not retrograde. The CP-grid solutions are much more accurate than the L grid.
We have discussed the effects of discretization on dispersion of midlatitude Rossby waves on the...
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