Articles | Volume 16, issue 4
https://doi.org/10.5194/gmd-16-1265-2023
https://doi.org/10.5194/gmd-16-1265-2023
Model description paper
 | 
22 Feb 2023
Model description paper |  | 22 Feb 2023

A mixed finite-element discretisation of the shallow-water equations

James Kent, Thomas Melvin, and Golo Albert Wimmer

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Cited articles

Adams, S., Ford, R., Hambley, M., Hobson, J., Kavčič, I., Maynard, C., Melvin, T., Müller, E., Mullerworth, S., Porter, A., Rezny, M., Shipway, B., and Wong, R.: LFRic: Meeting the challenges of scalability and performance portability in Weather and Climate models, J. Parall. Distr. Com., 132, 383–396, https://doi.org/10.1016/j.jpdc.2019.02.007, 2019. a
Arakawa, A. and Lamb, V. R.: Computational design of the basic dynamical processes of the UCLA general circulation model, Methods Comp. Phys., 17, 174–265, 1977. a
Baldauf, M.: Stability analysis for linear discretisations of the advection equation with Runge-Kutta time integration, J. Comp. Phys., 227, 6638–6659, 2008. a
Bochev, P. B. and Ridzal, D.: Rehabilitation of the lowest-order Raviart-Thomas element on quadrilateral grids, SIAM J. Num. Anal., 47, 487–507, 2010. a
Cotter, C. J. and Shipton, J.: Mixed finite elements for numerical weather prediction, J. Comput. Phys., 231, 7076–7091, 2012. a, b, c
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Short summary
This paper introduces the Met Office's new shallow water model. The shallow water model is a building block towards the Met Office's new atmospheric dynamical core. The shallow water model is tested on a number of standard spherical shallow water test cases, including flow over mountains and unstable jets. Results show that the model produces similar results to other shallow water models in the literature.