Parcel Eulerian-Lagrangian fluid dynamics for rotating geophysical flows


Bokhove, O. and Oliver, M. (2006) Parcel Eulerian-Lagrangian fluid dynamics for rotating geophysical flows. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462 (2073). pp. 2575-2592. ISSN 1364-5021

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Abstract:Parcel Eulerian-Lagrangian Hamiltonian formulations have recently been used in structure-preserving numerical schemes, asymptotic calculations and in alternative explanations of fluid parcel (in) stabilities. A parcel formulation describes the dynamics of one fluid parcel with a Lagrangian kinetic energy but an Eulerian potential evaluated at the parcel's position. In this paper, we derive the geometric link between the parcel Eulerian-Lagrangian formulation and well-known variational and Hamiltonian formulations for three models of ideal and geophysical fluid flow: generalized two-dimensional vorticity-stream function dynamics, the rotating two-dimensional shallow-water equations and the rotating three-dimensional compressible Euler equations.
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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