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

<p>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 f...

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Bibliographic Details
Published in:Geoscientific Model Development
Main Authors: J. Kent, T. Melvin, G. A. Wimmer
Format: Article
Language:English
Published: Copernicus Publications 2023-02-01
Online Access:https://gmd.copernicus.org/articles/16/1265/2023/gmd-16-1265-2023.pdf
Description
Summary:<p>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.</p>
ISSN:1991-959X
1991-9603