Summary
This paper presents a brief overview of a few variable resolution techniques in the context of the horizontal discretization of the meteorological equations. These are the grid refinement method, the static and dynamic coordinate transformation methods and the variable resolution in physical space method. The latter is illustrated by a variable resolution reformulation of the popular C-grid discretization suitable for use in a limited area model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Anthes, R. A., 1970: Numerical experiments with a two-dimensional horizontal variable grid.Mon. Wea. Rev.,98, 810–822.
Berger, M. J., Oliger, J., 1984: Adaptive mesh refinement for hyperbolic partial differential equations.J. Comp. Phys.,53, 484–512.
Cai, Y., Navon, I. M., 1995: Iterative domain decomposition algorithms: theory and applications. In: Le Dimet, F.-X., (ed.)High Performance Computing in the Geosciences. Dordrecht: Kluwer Academic, pp 81–105.
Courtier, P., Freydier, C., Geleyn, J.-F., Rabier, F., Rochas, M., 1991: The ARPEGE project at METEO-FRANCE.ECMWF Seminar Proceedings, 9–13 September 1991, Volume II, 193–231.
Courtier, P., Geleyn, J.-F., 1988: A global numerical weather prediction model with variable resolution: application to the shallow-water equations.Quart. J. Roy. Meteor. Soc.,114, 1321–1346.
Dietachmayer, G. S., 1992: Application of continuous dynamic grid adaptation techniques to meteorological modeling. Part II: efficiency.Mon. Wea. Rev.,120, 1707–1722.
Dietachmayer, G. S., Droegemeier, K. K., 1992: Application of continuous dynamic grid adaptation techniques to meteorological modeling. Part I: basic formulation.Mon. Wea. Rev.,120, 1675–1706.
Fiedler, B. H., 1995: Continuous adaptation of a curvilinear grid. In: Vincent, A., (ed.)Proceedings of Workshop on Numerical Methods in Fluid Mechanics. Centre de recherche mathématiques, Montréal, Canada, 9–21 November 1995, 13pp.
Fiedler, B. H., Trapp, R. J., 1993: A fast continuous dynamic grid adaptation scheme for meteorological flows.Mon. Wea. Rev.,121, 2879–2888.
Kurihara, Y., Holloway, J. L., 1967: Numerical integration of a nine-level global primitive equations model formulated by the box method.Mon. Wea. Rev.,95, 509–530.
Mailhot, J., Sarrazin, R., Bilodeau, B., Brunet, N., Méthot, A., Pellerin, G., Chouinard, C., Garand, L., Girard, C., Hogue, R., 1995: Changes to the Canadian regional forecast system: description and evaluation of the 50-km version.Atmos.-Ocean,33, 55–80.
Paegle, J., 1989: A variable resolution global model based upon Fourier and finite element representation.Mon. Wea. Rev.,117, 583–606.
Purser, J., Rančić, M., 1996: Quasi-uniform spherical grid-geometry of a “Conformal Octagon”.WMO Research Activities in Atmospheric and Oceanic Modelling, Report23, 3.22–3.23.
Schmidt, F., 1977: Variable fine mesh in spectral global model.Beitr. Phys. Atmos.,50, 211–217.
Skamarock, W., Oliger, J., Street, R. L., 1989: Adaptive grid refinement for Numerical Weather Prediction.J. Comp. Phys.,80, 27–60.
Staniforth, A., 1997: Regional modeling: a theoretical discussion.Meteorol. Atmos. Phys.,63, 15–29.
Yessad, K., Bénard, P., 1996: Introduction of a local mapping factor in the spectral part of the Météo-France global variable mesh numerical forecast model.Quart. J. Roy. Meteor. Soc.,122, 1701–1719.
Author information
Authors and Affiliations
Additional information
With 5 Figures
Rights and permissions
About this article
Cite this article
Côté, J. Variable resolution techniques for weather prediction. Meteorl. Atmos. Phys. 63, 31–38 (1997). https://doi.org/10.1007/BF01025362
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01025362