Port-Hamiltonian formulation of shallow water equations with Coriolis force and topography

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Pasumarthy, R. and Ambati, V.R. and Schaft, A.J. van der (2008) Port-Hamiltonian formulation of shallow water equations with Coriolis force and topography. In: Eighteenth International symposium on Mathematical Theory of Networks and Systems, MTNS 2008, 28 Jul - 01 Aug 2008, Blacksburg, Virginia, USA.

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Abstract:We look into the problem of approximating the shallow water equations with Coriolis forces and topography. We model the system as an infinite-dimensional port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure. We here employ the idea of using different finite elements for the approximation of geometric variables (forms) describing a distributed parameter system, to spatially discretize the system and obtain a lumped parameter port-Hamiltonian system. The discretized model then captures the physical laws of its infinite-dimensional couterpart such as conservation of energy. We present some preliminary numerical results to justify our claims.
Item Type:Conference or Workshop Item
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/65342
Official URL:http://www.cpe.vt.edu/mtns08/
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