Abstract
Starting from the linear shallow-water equations and using Arakawa A-E and Z grids, a study is made of inertia-gravitational and Rossby waves in the six grids from the perspectives of frequency and group velocity. Results indicate that grids C, Z, and E thereof give smaller distortion compared to the others.
Similar content being viewed by others
References
Arakawa, A., and V. R. Lamb. 1977: Computational dynamic processes of UTLA general circulation model. Methods in Computational Physics, J. Chung, Ed., Academic Press, 173–256.
Collatz, L., 1966: The Numerical Treatment of Differential Equations. Springer-Ver lag, New York, 381 pp.
David, A. R., 1994: Geostrophic adjustment and the finite difference shallow water equations. Mon. Wea. Rev., 122, 1371–1377.
Fox-Rabinovitz, M., 1991: Computational dispersion of horizontal staggered grids for atmospheric: and ocean models. Mon. Wea. Rev, 119, 1624–1639.
Liu Y. D., Gui Q. J., Li X. D., and Zhu H. W., 2001a: Study on dispersion features as calculated in horizontal grids. Quart. J. Appl. Meteor., 12(2), 140–149.
Liu Y. D., Ji Z. Z., Zhu H. W., Li X. D., and Hou Z. M., 2001b: Effects of horizontal grids on Rossby wave. Acta Meteorologien Sinica, 60(1), 76–84.
Lin Y. D., Ji Z. Z., and Wang B., 2002: Computational dispersion properties of vertical staged grids in non-hydrostatical models. Advances in Atmospheric Sciences, 19(3), 521–548.
McHall, Y. L., 1993a: Large scale perturbations in extratropical atmosphere, Part I: On Rossby waves. Advances in Atmospheric Sciences, 10(2), 169–180.
McHall, Y. L., 1993b: Large scale perturbations in extratropical atmosphere, Part II: On geostrophic waves. Advances in Atmospheric Sciences, 10(2), 181–192
Wajsowicz, R.C., 1986: Free planetary waves in finite-difference numerical models. J. Phys. Oceanogr., 16, 773–789.
Winninghoff, F. J., 1968: On the adjustment towards a geostrophic balance in a simple primitive equation model with application to the problems and objective analysis. Ph. D. dissertation University of California, Los Angeles, 161 pp.
Yang, S., and T. Tang, 1993: Dispersion and group velocity in numerical schemes for three-dimensional hydrodynamic equation. J. Comput. Phys., 105, 72–82.
Yu R. C, 1994: Properties of difference schemes under the distribution of grid E variables. Scientia Atmospherica Sinica, 18(2), 152–162. (in Chinese)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, Y., Wang, B. & Ji, Z. Research on Atmospheric Motion in Horizontal Discrete Grids. Adv. Atmos. Sci. 20, 139–148 (2003). https://doi.org/10.1007/BF03342058
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03342058