Port-Hamiltonian discretization for open channel flows

R.P. Ramkrishna Pasumarthy, V.R. Ambati, Arjan van der Schaft

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    Abstract

    A finite-dimensional Port-Hamiltonian formulation for the dynamics of smooth open channel flows is presented. A numerical scheme based on this formulation is developed for both the linear and nonlinear shallow water equations. The scheme is verified against exact solutions and has the advantage of conservation of mass and energy to the discrete level.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages20
    Publication statusPublished - Nov 2010

    Publication series

    NameMemorandum / Department of Applied Mathematics
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1927
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850

    Keywords

    • MSC-83C55
    • METIS-275679
    • Stokes-Dirac Structure
    • Port-Hamiltonian
    • Numerical Discretization
    • Shallow water equations
    • EWI-18651
    • IR-74095

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