Rossby wave dispersion on the C-grid

Atmospheric Science Letters

Volumn 8, Issue 2, 2007, Pages 37-42

  Thuburn, J ^a  

^a UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

Numerical dispersion; Staggered grid

Indexed keywords

CORIOLIS FORCE; FINITE DIFFERENCE METHOD; NUMERICAL MODEL; ROSSBY WAVE; WAVE DISPERSION;

EID: 34548344034     PISSN: None     EISSN: 1530261X     Source Type: Journal    
DOI: 10.1002/asl.148     Document Type: Article

References (17)

1. Arakawa A, Lamb VR. 1977. Computational design of the basic dynamical processes of the UCLA general circulation model. Methods of Computational Physics, vol. 17. Academic Press: New York; 173-265.
2. Arakawa A, Lamb VR. 1981. A potential enstrophy and energy conserving scheme for the shallow water equations. Monthly Weather Review 109: 18-36.
3. Arakawa A, Moorthi S. 1988. Baroclinic instability in vertically discrete systems. Journal of the Atmospheric Sciences 45: 1688-1707.
4. Dukowicz JK. 1995. Mesh effects for Rossby Waves. Journal of Computational Physics 119: 188-194.
5. Fox-Rabinovitz MS. 1991. Computational dispersion properties of horizontal staggered grids for atmospheric and ocean models. Monthly Weather Review 119: 1624-1639.
6. Fox-Rabinovitz MS. 1996. Computational dispersion properties of 3D staggered grids for a nonhydrostatic anelastic system. Monthly Weather Review 124: 498-510.
7. Gavrilov MB, Tošić IA. 1998. Propagation of the Rossby waves on two dimennonal rectangular grids. Meteorology and Atmospheric Physics 68: 119-125.
8. Gavrilov MB, Tošić IA. 1999. Dispersion characteristics of discrete quasigeostrophic modes. Monthly Weather Review 127: 2197-2203.
9. Ničković S, Gavrilov MB, Tošić IA. 2002. Geostrophic adjustment on hexagonal grids. Monthly Weather Review 130: 668-683.
10. Randall DA. 1994. Geostrophic adjustment and the finite-difference shallow-water equations. Monthly Weather Review 122: 1371-1377.
11. Ringler TD, Randall DA. 2002. The ZM grid: an alternative to the Z grid. Monthly Weather Review 130: 1411-1422.
12. Thuburn J. 2006. Vertical discretizations giving optimal representation of normal modes: Sensitivity to the form of the pressure-gradient term. Quaterly Journal of the Royal Meteorological Society 132: 2809-2825.
13. Thuburn J, Staniforth A. 2004. Conservation and linear Rossby mode dispersion on the spherical C-grid. Monthly Weather Review 132: 641-653.
14. Thuburn J, Woollings TJ. 2005. Vertical discretizations for compressible Euler equation atmospheric models giving optimal representation of normal modes. Journal of Computational Physics 203: 386-404.
15. Wajsowicz RC. 1986. Free planetary waves in finite-difference numerical models. Journal of Physical Oceanography 16: 773-789.
16. White AA. 2002. A view of the equations of meteorological dynamics and various approximations. In Large-Scale Atmosphere-Ocean Dynamics I: Analytical Methods and Numerial Models, Norbury J, Roulstone I (eds). Cambridge University Press; Cambridge, UK, 1-100.
17. Williams RT. 1981. On the formulation of finite-element prediction models. Monthly Weather Review 109: 463-466.