Energy- and enstrophy-conserving schemes for the shallow-water equations, based on mimetic finite elements
Numerical Analysis
2015-06-16 v2 Atmospheric and Oceanic Physics
Abstract
This paper presents a family of spatial discretisations of the nonlinear rotating shallow-water equations that conserve both energy and potential enstrophy. These are based on two-dimensional mixed finite element methods and hence, unlike some finite difference methods, do not require an orthogonal grid. Numerical verification of the aforementioned properties is also provided.
Keywords
Cite
@article{arxiv.1305.4477,
title = {Energy- and enstrophy-conserving schemes for the shallow-water equations, based on mimetic finite elements},
author = {Andrew T. T. McRae and Colin J. Cotter},
journal= {arXiv preprint arXiv:1305.4477},
year = {2015}
}
Comments
25 pages, 14 figures, submitted to QJRMS; parts of sections 3 and 4 rewritten for clarification, assorted typo fixes