Conservative semi-lagrangian algorithm for pollutant transport in rivers

J. Russell Manson, Stephen George Wallis

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)


    A conservative semi-Lagrangian numerical method for solute transport in steady nonuniform flows is presented. The method is an extension of earlier work on the authors' DISCUS method. Numerical results are compared against an exact solution for solute transport in a nonuniform flow with a linearly varying velocity coefficient and a quadratically varying dispersion coefficient. The method is stable and fully conservative at large Courant and grid Peclet numbers. Accuracy is also good and appears to be primarily related to spatial resolution and grid Peclet number. The method is significantly more computationally efficient than Eulerian numerical methods.

    Original languageEnglish
    Pages (from-to)486-489
    Number of pages4
    JournalJournal of Environmental Engineering
    Issue number5
    Publication statusPublished - May 1999


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