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An energy and potential enstrophy conserving numerical scheme for the multi-layer shallow water equations with complete Coriolis force

Abstract:

We present an energy- and potential enstrophy-conserving scheme for the non-traditional shallow water equations that include the complete Coriolis force and topography. These integral conservation properties follow from material conservation of potential vorticity in the continuous shallow water equations. The latter property cannot be preserved by a discretisation on a fixed Eulerian grid, but exact conservation of a discrete energy and a discrete potential enstrophy seems to be an effect...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jcp.2015.12.042

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Institution:
University of Oxford
Oxford college:
Corpus Christi College
Role:
Author
Publisher:
Elsevier Publisher's website
Journal:
Journal of Computational Physics Journal website
Volume:
313
Pages:
99-120
Publication date:
2016-05-15
Acceptance date:
2015-12-18
DOI:
ISSN:
0021-9991
Source identifiers:
620359
Keywords:
Pubs id:
pubs:620359
UUID:
uuid:6da4effe-15a4-4165-a66e-99143460763a
Local pid:
pubs:620359
Deposit date:
2016-08-15

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