Multi-symplectic formulation of near-local Hamiltonian balanced models
Delahaies, S and Hydon, PE (2011) Multi-symplectic formulation of near-local Hamiltonian balanced models PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 467 (2136). 3424 - 3442. ISSN 1364-5021
DelahaiesHydon10.pdf - Accepted Version
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We transform near-local Hamiltonian balanced models (HBMs) describing nearly geostrophic fluid motion (with constant Coriolis parameter) into multi-symplectic (MS) systems. This allows us to determine conservation of Lagrangian momentum, energy and potential vorticity for Salmon's L1 dynamics; a similar approach works for other near-local balanced models (such as the -model). The MS approach also enables us to determine a class of systems that have a contact structure similar to that of the semigeostrophic model. The contact structure yields a contact transformation that makes the problem of front formation tractable. The new class includes the first local model with a variable Coriolis parameter that preserves all of the most useful geometric features of the semigeostrophic model.
|Additional Information:||Published in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2011. This is the author's accpted version.|
|Uncontrolled Keywords:||multi-symplectic system, balanced models, semigeostrophic theory|
|Divisions:||Faculty of Engineering and Physical Sciences > Mathematics|
|Depositing User:||Symplectic Elements|
|Date Deposited:||13 Jun 2012 11:49|
|Last Modified:||23 Sep 2013 19:19|
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