Numerical analysis of time-dependent Boussinesq models

P.J. van der Houwen, J. Mooiman, F.W. Wubs

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    Abstract

    In this paper we analyse numerical models for time-dependent Boussinesq equations. These equations arise when so-called Boussinesq terms are introduced into the shallow water equations. We use the Boussinesq terms proposed by Katapodes and Dingemans. These terms generalize the constant depth terms given by Broer. The shallow water equations are discretized by using fourth-order finite difference formulae for the space derivatives and a fourth-order explicit time integrator. The effect on the stability and accuracy of various discrete Boussinesq terms is investigated. Numerical experiments are presented in the case of a fourth-order Runge-Kutta time integrator.

    Original languageEnglish
    Pages (from-to)1235-1250
    Number of pages16
    JournalInternational journal for numerical methods in fluids
    Volume13
    Issue number10
    DOIs
    Publication statusPublished - Dec-1991

    Keywords

    • NUMERICAL ANALYSIS
    • STABILITY
    • BOUSSINESQ EQUATIONS
    • LONG WATER-WAVES
    • EQUATIONS

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