A generalized, non-linear, diffusion wave equation: theoretical development and application

M. Sivapalan, B.C. Bates, J.E. Larsen

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    29 Citations (Scopus)


    The derivation of a generalized, non-linear, diffusion wave equation, which explicitly includes inertial effects, is presented. The generalized equation is an approximation to the Saint-Venant equations of order epsilon, where epsilon is a characteristic ratio of the water surface slope to the bed slope. The derivations are carried out using a general expression for how resistance, representing both friction and form drag. Some simplified forms of the generalized diffusion wave equation, useful for different practical applications, are given, A numerical finite difference model, solving a particular simplified form of the generalized equation, is used to simulate a number of observed floods in a natural river reach, The model is then used to investigate the effects of non-linearity on the characteristics of flood wave propagation. (C) 1997 Elsevier Science B.V.
    Original languageEnglish
    Pages (from-to)1-16
    JournalJournal of Hydrology
    Issue number1-4
    Publication statusPublished - 1997


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