Preprints
https://doi.org/10.5194/gmd-2022-225
https://doi.org/10.5194/gmd-2022-225
Submitted as: model description paper
27 Sep 2022
Submitted as: model description paper | 27 Sep 2022
Status: this preprint is currently under review for the journal GMD.

A mixed finite element discretisation of the shallow water equations

James Kent1, Thomas Melvin1, and Golo Albert Wimmer2 James Kent et al.
  • 1Dynamics Research, Met Office, Exeter, UK
  • 2Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

Abstract. This paper introduces a mixed finite-element shallow water model on the sphere. The mixed finite-element approach is used as it has been shown to be both accurate and highly scalable for parallel architecture. Key features of the model are an iterated semi-implicit time stepping scheme, a finite-volume transport scheme, and the cubed sphere grid. The model is tested on a number of standard spherical shallow water test cases. Results show that the model produces similar results to other shallow water models in the literature.

James Kent et al.

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • CEC1: 'Comment on gmd-2022-225', Juan Antonio Añel, 25 Oct 2022
  • RC1: 'Comment on gmd-2022-225', Anonymous Referee #1, 26 Oct 2022
  • RC2: 'Comment on gmd-2022-225', Hilary Weller, 30 Oct 2022

James Kent et al.

James Kent et al.

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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.