Compatible finite element spaces for geophysical fluid dynamics
File(s)
Published version
Author(s)
Natale, A
Shipton, J
Cotter, CJ
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.
Date Issued
2016-11-22
Date Acceptance
2016-10-30
Citation
Dynamics and Statistics of the Climate System, 2016, 1 (1)
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
Natural Environment Research Council (NERC)
Natural Environment Research Council (NERC)
Grant Number
NE/K006789/1
IMPERIAL - H5159503
Publication Status
Published