Parcel Eulerian-Lagrangian fluid dynamics for rotating geophysical flows

Onno Bokhove, M. Oliver

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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.
    Original languageUndefined
    Article number10.1098/rspa.2006.1656
    Pages (from-to)2575-2592
    Number of pages16
    JournalProceedings of the Royal Society A: mathematical, physical and engineering sciences
    Volume462
    Issue number2/2073
    DOIs
    Publication statusPublished - 8 Sep 2006

    Keywords

    • METIS-238214
    • IR-66500
    • EWI-7510

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