Summary
Extended integrations of semi-Lagrangian and Eulerian shallow water primitive equation models are performed. The semi-Lagrangian model used the semi-implicit two-time-level scheme. The Eulerian model used a conserving nonlinear advection scheme.
For low resolution and longer integrations, difficulties were encountered with the semi-Lagrangian model which were absent in the Eulerian model. These difficulties are discussed.
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Gavrilov, M.B. Integration of the shallow water equations in a plane geometry using semi-Lagrangian and Eulerian schemes. Meteorl. Atmos. Phys. 62, 141–160 (1997). https://doi.org/10.1007/BF01029699
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DOI: https://doi.org/10.1007/BF01029699