Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 2: Quasi-geostrophic Rossby modes
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.
- Research Organization:
- Colorado State Univ., Fort Collins, CO (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Biological and Environmental Research (BER); National Science Foundation (NSF)
- Grant/Contract Number:
- SC0016273; SC0007050; SC0016305; AGS-1500187
- OSTI ID:
- 1436358
- Alternate ID(s):
- OSTI ID: 1505825
- Journal Information:
- Geoscientific Model Development (Online), Journal Name: Geoscientific Model Development (Online) Vol. 11 Journal Issue: 5; ISSN 1991-9603
- Publisher:
- Copernicus Publications, EGUCopyright Statement
- Country of Publication:
- Germany
- Language:
- English
Web of Science
Rossby Wave Frequencies and Group Velocities for Finite Element and Finite Difference Approximations to the Vorticity-Divergence and the Primitive Forms of the Shallow Water Equations
|
journal | July 1989 |
Impacts of the horizontal and vertical grids on the numerical solutions of the dynamical equations – Part 1: Nonhydrostatic inertia–gravity modes
|
journal | January 2018 |
Unification of the Anelastic and Quasi-Hydrostatic Systems of Equations
|
journal | February 2009 |
Numerical wave propagation on the hexagonal C-grid
|
journal | May 2008 |
Similar Records
Barotropic and Baroclinic Eddy Feedbacks in the Midlatitude Jet Variability and Responses to Climate Change–Like Thermal Forcings
Diabatic sources of potential vorticity in the general circulation