Computational Properties of a New Horizontal Staggered Grid for Rossby Waves

This paper presents a new horizontal staggered grid (LE grid), which defines geopotential height h at a gridpoint, and both u and v at the same mid‐gridpoint along the x and y directions. A general method is used to deduce the dispersion relationships describing Rossby waves on LE grid and Arakawa A...

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Bibliographic Details
Published in:Chinese journal of geophysics 2006-05, Vol.49 (3), p.575-587
Main Authors: LIU, Yu‐Di, ZHANG, Qing‐Hong, YUAN, Jue
Format: Article
Language:English
Subjects:
Arakawa A-E grid
Central difference
Compact difference scheme
Horizontal staggered grid
LE grid
Rossby wave
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Summary:This paper presents a new horizontal staggered grid (LE grid), which defines geopotential height h at a gridpoint, and both u and v at the same mid‐gridpoint along the x and y directions. A general method is used to deduce the dispersion relationships describing Rossby waves on LE grid and Arakawa A‐E grids, which are then compared with the analytical solution (AS) in resolved or unresolved cases, using the two‐order central difference or four‐order compact difference scheme in the frequency and group velocity. The results show that in both resolved and unresolved cases, no matter whether two‐order central difference or four‐order compact difference scheme is used, the frequency and group velocity discrete errors on LE grid in describing Rossby waves are smaller than those of Arakawa A‐E grids. At the same time, for the LE grid and Arakawa A‐E grids the employment of a four‐order compact difference scheme with higher difference precision can not inevitably improve their accuracy of frequency and group velocity in x and y directions in describing Rossby waves.
ISSN:0898-9591
2326-0440
DOI:10.1002/cjg2.871