Editorial Type:
Article
Article Type:
Research Article

Generalized Energy and Potential Enstrophy Conserving Finite Difference Schemes for the Shallow Water Equations

Frank Abramopoulos Sigma Data Services Corp., NASA/Goddard Space Flight Center, Institute for Space Studies, New York N.Y.

Search for other papers by Frank Abramopoulos in
Current site
Google Scholar
PubMed Close
Print Publication:
01 Mar 1988
DOI:
https://doi.org/10.1175/1520-0493(1988)116<0650:GEAPEC>2.0.CO;2
Page(s):
650–662
Restricted access

Abstract

The conditions under which finite difference schemes for the shallow water equations can conserve both total energy and potential enstrophy are considered. A method of deriving such schemes using operator formalism is developed. Several such schemes are derived for the A-, B- and C-grids. The derived schemes include second-order schemes and pseudo-fourth order schemes. The simplest B-grid pseudo-fourth-order schemes are presented.

Abstract

The conditions under which finite difference schemes for the shallow water equations can conserve both total energy and potential enstrophy are considered. A method of deriving such schemes using operator formalism is developed. Several such schemes are derived for the A-, B- and C-grids. The derived schemes include second-order schemes and pseudo-fourth order schemes. The simplest B-grid pseudo-fourth-order schemes are presented.

Save
Cover Monthly Weather Review
Monthly Weather Review
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 1380 1200 112
PDF Downloads 114 29 1