A conservative semi-Lagrangian algorithm for one-dimensional advection-diffusion

S. G. Wallis, J. R. Manson, L Filippi

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)


    This paper describes the incorporation of diffusive transport into the original semi-Lagrangian DISCUS algorithm for pure advection. An explicit treatment of diffusion is adopted following the approach used in the QUICKEST algorithm for advection-diffusion. The semi-Lagrangian treatment of the advection term relaxes the small time step restriction normally associated with Eulerian treatments of advection, but the Eulerian treatment of the diffusion term imposes conventional limitations on the scheme. Numerical experiments of advection-diffusion, however, indicate that DISCUS has advantages over the QUICKEST scheme for advection-diffusion in three key areas: stability, accuracy and computational efficiency.

    Original languageEnglish
    Pages (from-to)671-679
    Number of pages9
    JournalInternational Journal for Numerical Methods in Biomedical Engineering
    Issue number7
    Publication statusPublished - Jul 1998


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