Generalized Energy and Potential Enstrophy Conserving Finite Difference Schemes for the Shallow Water EquationsSource: Monthly Weather Review:;1988:;volume( 116 ):;issue: 003::page 650Author:Abramopoulos, Frank
DOI: 10.1175/1520-0493(1988)116<0650:GEAPEC>2.0.CO;2Publisher: American Meteorological Society
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.
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| contributor author | Abramopoulos, Frank | |
| date accessioned | 2017-06-09T16:06:47Z | |
| date available | 2017-06-09T16:06:47Z | |
| date copyright | 1988/03/01 | |
| date issued | 1988 | |
| identifier issn | 0027-0644 | |
| identifier other | ams-61214.pdf | |
| identifier uri | http://onlinelibrary.yabesh.ir/handle/yetl/4201971 | |
| description 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. | |
| publisher | American Meteorological Society | |
| title | Generalized Energy and Potential Enstrophy Conserving Finite Difference Schemes for the Shallow Water Equations | |
| type | Journal Paper | |
| journal volume | 116 | |
| journal issue | 3 | |
| journal title | Monthly Weather Review | |
| identifier doi | 10.1175/1520-0493(1988)116<0650:GEAPEC>2.0.CO;2 | |
| journal fristpage | 650 | |
| journal lastpage | 662 | |
| tree | Monthly Weather Review:;1988:;volume( 116 ):;issue: 003 | |
| contenttype | Fulltext |