Articles | Volume 10, issue 2
https://doi.org/10.5194/gmd-10-791-2017
https://doi.org/10.5194/gmd-10-791-2017
Development and technical paper
 | 
17 Feb 2017
Development and technical paper |  | 17 Feb 2017

Total energy and potential enstrophy conserving schemes for the shallow water equations using Hamiltonian methods – Part 1: Derivation and properties

Christopher Eldred and David Randall

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Cited articles

Arakawa, A. and Lamb, V. R.: A Potential Enstrophy and Energy Conserving Scheme for the Shallow Water Equations, Mon. Weather Rev., 109, 18–36, https://doi.org/10.1175/1520-0493(1981)109<0018:APEAEC>2.0.CO;2, 1981.
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Cotter, C. and Thuburn, J.: A finite element exterior calculus framework for the rotating shallow-water equations, J. Comput. Phys., 257, 1506–1526, https://doi.org/10.1016/j.jcp.2013.10.008, 2014.
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Short summary
This paper represents research done on improving our ability to make future predictions about weather and climate, through the use of computer models. Specifically, we are aiming to improve the ability of such simulations to represent fundamental physical processes such as conservation laws. We found that it was possible to obtain a computer model with better conservation properties by using a specific set of mathematical tools (called Hamiltonian methods).