A variational free-Lagrange method for shallow water

This article presents a variational free‐Lagrange (VFL) method for rotating shallow water. This method was first derived by Augenbaum [2] who discretised Hamilton's action principle with a free‐Lagrange data structure. The novel feature of our approach is to exploit the geometric structure pres...

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Bibliographic Details
Published in:Proceedings in applied mathematics and mechanics 2007-12, Vol.7 (1), p.1100905-1100906
Main Authors: Dixon, Matthew F., Ringler, Todd
Format: Article
Language:English
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Summary:This article presents a variational free‐Lagrange (VFL) method for rotating shallow water. This method was first derived by Augenbaum [2] who discretised Hamilton's action principle with a free‐Lagrange data structure. The novel feature of our approach is to exploit the geometric structure preserved by the VFL method to the effect of conserving energy over long‐time simulations. Numerical results demonstrate this property and motivate the extension of this approach to other variational formulations of climate models. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.200701087