An initial-value problem for testing numerical models of the global shallow-water equations
References
-
Baines
, P. G.. The stability of planetary waves on a sphere. J. Fluid Mech. 73, 193– 213. -
Dritschel
, D. G., Polvani, L. M.and Mohebalhojeh, A. R.. The contour-advective semi-Lagrangian algorithm for the shallow-water equations.. 127, 1551– 1565. -
Hoskins
, B. J.and Simmons, A. J.. Multilayer spectral model and semi-implicit method. Q. J. R. Meteorol. Soc. 119, 637– 655. -
Jakob-Chien
, R., Hack, J. J.and Williamson, D. L.. Spectral transform solutions to the shallow-water test set. J. Comput. Phys. 119, 164–187( J95). -
Kiehl
, J. T., Hack, J., Bonan, G., Boville, B.and Briegleb, B.. Description of the NCAR Community Climate Model (CCM3). NCAR Technical Note NCAR/TN-420±STR. -
Kuo
, A.and Polvani, L. M.. Time-dependent fully nonlinear geostrophic adjustment. J. Phys. Ocean. 27, 1614– 1634. -
Polvani
, L. M., Scott, R. K.and Thomas, S. J.. Numerically converged solutions of the global primitive equations for testing the dynamical core of atmospheric GCMs. Mon. Wea. Rev. in press. -
Rivier
, L., Loft, R.and Polvani, L. M.. An efficient spectral dynamical core for distributed memory computers.. 130, 1384– 1396. -
Scott
, R. K., Rivier, L. G., Loft, R. D.and Polvani, L. M.. BOB, model description and user’s guide. NCAR Technical Note NCAR/TN-404±IA. -
Thuburn
, J.and Li, Y.. Numerical simulations of Rossby-Haurwitz waves. Tellus, 181– 189. -
Williamson
, D. L., Drake, J. B., Hack, J. J., Jakob, R.and Swarztrauber, P. N.. A standard test set for numerical approximations to the shallow water equations in spherical geometry. J. Comput. Phys. 102, 211–224( W92).
DOI: https://doi.org/10.3402/tellusa.v56i5.14436 | Journal eISSN: 3035-9554
Language: English
Page range: 429 - 440
Submitted on: Sep 23, 2003
Accepted on: Mar 24, 2004
Published on: Jan 1, 2004
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 2004 Joseph Galewsky, Richard K. Scott, Lorenzo M. Polvani, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.