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Compatible finite element spaces for geophysical fluid dynamics

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Title: Compatible finite element spaces for geophysical fluid dynamics
Authors: Natale, A
Shipton, J
Cotter, CJ
Item Type: Journal Article
Abstract: Compatible finite elements provide a framework for preserving important structures in equations of geophysical uid dynamics, and are becoming important in their use for building atmosphere and ocean models. We survey the application of compatible finite element spaces to geophysical uid dynamics, including the application to the nonlinear rotating shallow water equations, and the three-dimensional compressible Euler equations. We summarise analytic results about dispersion relations and conservation properties, and present new results on approximation properties in three dimensions on the sphere, and on hydrostatic balance properties.
Issue Date: 22-Nov-2016
Date of Acceptance: 30-Oct-2016
URI: http://hdl.handle.net/10044/1/43337
DOI: https://dx.doi.org/10.1093/climsys/dzw005
ISSN: 2059-6987
Publisher: Oxford University Press
Journal / Book Title: Dynamics and Statistics of the Climate System
Volume: 1
Issue: 1
Copyright Statement: © The Author 2016. Published by Oxford University Press. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
Sponsor/Funder: Natural Environment Research Council (NERC)
Natural Environment Research Council (NERC)
Funder's Grant Number: NE/K006789/1
IMPERIAL - H5159503
Publication Status: Published
Open Access location: http://climatesystem.oxfordjournals.org/content/early/2016/11/22/climsys.dzw005
Appears in Collections:Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences