Articles | Volume 7, issue 6
Development and technical paper
17 Dec 2014
Development and technical paper |  | 17 Dec 2014

A global finite-element shallow-water model supporting continuous and discontinuous elements

P. A. Ullrich

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Cited articles

Bao, L., Nair, R. D., and Tufo, H. M.: A mass and momentum flux-form high-order discontinuous Galerkin shallow water model on the cubed-sphere, J. Comput. Phys., 271, 224–243,, 2014.
Bates, J. R., Semazzi, F. H. M., Higgins, R. W., and Barros, S. R. M.: Integration of the shallow water equations on the sphere using a vector semi-Lagrangian scheme with a multigrid solver, Mon. Weather Rev., 118, 1615–1627,<1615:IOTSWE>2.0.CO;2, 1990.
Boyd, J.: The erfc-log filter and the asymptotics of the Euler and Vandeven sequence accelerations, in: Proceedings of the Third International Conference on Spectral and High Order Methods, edited by: Ilin, A. V. and Scott, L. R., 267–276, Houston, Journal of Mathematics, Houston, Texas, 1996.
Boyd, J. P.: Chebyshev and Fourier spectral methods, Courier Dover Publications, 2001.
Chen, C. and Xiao, F.: Shallow water model on cubed-sphere by multi-moment finite volume method, J. Comput. Phys., 227, 5019–5044,, 2008.
Short summary
This paper compares continuous and discontinuous discretizations of the shallow-water equations on the sphere using the flux reconstruction formulation. The discontinuous framework comes at a cost, including a reduced time step size and higher computational expense, but has a number of desirable properties which may make it desirable for future use in atmospheric models.