A parcel formulation for Hamiltonian layer models

Onno Bokhove, M. Oliver

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    Abstract

    Starting from the three-dimensional hydrostatic primitive equations, we derive Hamiltonian N-layer models with isentropic tropospheric and isentropic or isothermal stratospheric layers. Our construction employs a new parcel Hamiltonian formulation which describes the fluid as a continuum of Hamiltonian ordinary differential equations bound together by integral transport laws. In particular, we showthat this parcel Hamiltonian structure is compatible with the stacking of layers under isentropic. The appeal of the parcel formulation is the simplification of various calculations, in particular the derivation of the continuum Poisson bracket and the proof of the Jacobi identity. A comparison and connection is made between the Hamiltonian dynamics of fluid parcels and the Hamiltonian system of partial differential equations. The parcel formulation can be seen as a precursor and tool for the study of Hamiltonian numerical schemes.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages18
    Publication statusPublished - Mar 2009

    Publication series

    NameMemorandum / Department of Applied Mathematics
    PublisherUniversity of Twente, Department of Applied Mathematics
    No.1897
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850

    Keywords

    • Atmospheric layer model
    • METIS-263786
    • IR-69858
    • EWI-15233
    • Hamiltonian dynamics

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