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.- Publication Date:

- Grant/Contract Number:
- SC07050; SC0016273; SC0016305

- Type:
- Published Article

- Journal Name:
- Geoscientific Model Development (Online)

- Additional Journal Information:
- Journal Name: Geoscientific Model Development (Online) Journal Volume: 11 Journal Issue: 5; Journal ID: ISSN 1991-9603

- Publisher:
- European Geosciences Union

- Sponsoring Org:
- USDOE

- Country of Publication:
- Germany

- Language:
- English

- OSTI Identifier:
- 1436358

```
Konor, Celal S., and Randall, David A..
```*Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes*. Germany: N. p.,
Web. doi:10.5194/gmd-11-1785-2018.

```
Konor, Celal S., & Randall, David A..
```*Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes*. Germany. doi:10.5194/gmd-11-1785-2018.

```
Konor, Celal S., and Randall, David A.. 2018.
"Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes". Germany.
doi:10.5194/gmd-11-1785-2018.
```

```
@article{osti_1436358,
```

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

author = {Konor, Celal S. and Randall, David A.},

abstractNote = {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.},

doi = {10.5194/gmd-11-1785-2018},

journal = {Geoscientific Model Development (Online)},

number = 5,

volume = 11,

place = {Germany},

year = {2018},

month = {5}

}