Imperial College London
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ProfessorColinCotter

Faculty of Natural Sciences, Department of Mathematics

Professor of Computational Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 3468colin.cotter

 
 
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Location

 

755Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Bauer:2018:10.1016/j.jcp.2018.06.071,
author = {Bauer, W and Cotter, CJ},
doi = {10.1016/j.jcp.2018.06.071},
journal = {Journal of Computational Physics},
pages = {171--187},
title = {Energy-enstrophy conserving compatible finite element schemes for the  rotating shallow water equations with slip boundary conditions},
url = {http://dx.doi.org/10.1016/j.jcp.2018.06.071},
volume = {373},
year = {2018}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We describe an energy-enstrophy conserving discretisation for the rotatingshallow water equations with slip boundary conditions. This relaxes theassumption of boundary-free domains (periodic solutions or the surface of asphere, for example) in the energy-enstrophy conserving formulation of McRaeand Cotter (2014). This discretisation requires extra prognostic vorticityvariables on the boundary in addition to the prognostic velocity and layerdepth variables. The energy-enstrophy conservation properties hold for anyappropriate set of compatible finite element spaces defined on arbitrary mesheswith arbitrary boundaries. We demonstrate the conservation properties of thescheme with numerical solutions on a rotating hemisphere.
AU  - Bauer,W
AU  - Cotter,CJ
DO  - 10.1016/j.jcp.2018.06.071
EP  - 187
PY  - 2018///
SN  - 0021-9991
SP  - 171
TI  - Energy-enstrophy conserving compatible finite element schemes for the  rotating shallow water equations with slip boundary conditions
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2018.06.071
UR  - http://arxiv.org/abs/1801.00691v3
UR  - http://hdl.handle.net/10044/1/64284
VL  - 373
ER  -
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