Energy- and enstrophy-conserving schemes for the shallow-water
equations, based on mimetic finite elements
equations, based on mimetic finite elements
File(s)
Supporting Information
Accepted version
Author(s)
McRae, ATT
Cotter, CJ
Type
Journal Article
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.
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.
Date Issued
2014-01-01
Citation
Quarterly Journal of the Royal Meteorological Society, 2014
Journal / Book Title
Quarterly Journal of the Royal Meteorological Society
Copyright Statement
© 2013 Royal Meteorological Society
Description
10.06.14 KB Author has added additional information (arxiv paper)
Identifier
http://arxiv.org/abs/1305.4477
Notes
23 pages, 13 figures, submitted to QJRMS
Publication Status
Accepted