Articles | Volume 11, issue 11
Geosci. Model Dev., 11, 4637–4656, 2018
Geosci. Model Dev., 11, 4637–4656, 2018

Development and technical paper 22 Nov 2018

Development and technical paper | 22 Nov 2018

Symmetric equations on the surface of a sphere as used by model GISS:IB

Gary L. Russell et al.

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Cited articles

Adcroft, A., Campin, J.-M., Hill, C., and Marshall, J.: Implementation of an Atmosphere-Ocean General Circulation Model on the Expanded Spherical Cube, Mon. Weather Rev., 132, 2845–2863,, 2004. a
Arakawa, A. and University of California, L. A. D. o. M.: Design of the UCLA General Circulation Model, Numerical simulation of weather and climate: Technical report, Department of Meteorology, University of California, available at: (last access: 15 November 2018), 1972. a
Coté, J.: A Lagrange multiplier approach for the metric terms of semi-Lagrangian models on the sphere, Q. J. Roy. Meteor. Soc., 114, 1347–1352,, 1988. a, b
Du, Q., Gunzburger, M. D., and Ju, L.: Constrained Centroidal Voronoi Tessellations for Surfaces, SIAM J. Sci. Comput., 24, 1488–1506,, 2003. a
Hack, J. and Jakob, R.: Description of a Global Shallow Water Model Based on the Spectral Transform Method, NCAR Technical Note NCAR/TN-343+STR,, 1992. a
Short summary
This paper presents the Fortran 90 source code for one-layer model GISS:IB on an icosahedral grid. The model solves the shallow water equations on the sphere using three symmetric horizontal components of angular momentum instead of velocity. One-layer shallow water models are a basic building block used in complex global weather and climate models.