Journal cover Journal topic
Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
https://doi.org/10.5194/gmd-2017-235
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
Methods for assessment of models
22 Dec 2017
Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Geoscientific Model Development (GMD).
Impacts of the Horizontal and Vertical Grids on the Numerical Solutions of the Dynamical Equations. Part II: Quasi-Geostrophic Rossby Modes
Celal S Konor and David A. Randall Department of Atmospheric Science, Colorado State University, Fort Collins, Colorado, 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 wave numbers are discussed. A companion paper, Part I, 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.


Citation: Konor, C. S. and Randall, D. A.: Impacts of the Horizontal and Vertical Grids on the Numerical Solutions of the Dynamical Equations. Part II: Quasi-Geostrophic Rossby Modes, Geosci. Model Dev. Discuss., https://doi.org/10.5194/gmd-2017-235, in review, 2017.
Celal S Konor and David A. Randall
Celal S Konor and David A. Randall
Celal S Konor and David A. Randall

Viewed

Total article views: 212 (including HTML, PDF, and XML)

HTML PDF XML Total Supplement BibTeX EndNote
187 24 1 212 5 1 2

Views and downloads (calculated since 22 Dec 2017)

Cumulative views and downloads (calculated since 22 Dec 2017)

Viewed (geographical distribution)

Total article views: 212 (including HTML, PDF, and XML)

Thereof 210 with geography defined and 2 with unknown origin.

Country # Views %
  • 1

Saved

Discussed

Latest update: 16 Jan 2018
Publications Copernicus
Download
Short summary
We have discussed the effects of discretization on the dispersion of middle-latitude 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, 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 the dispersion of middle-latitude Rossby...
Share