Dynamical models for sand ripples beneath surface waves

Ken Haste Andersen, M.-L. Chabanol, M. v. Hecke

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    Abstract

    We introduce order parameter models for describing the dynamics of sand ripple patterns under oscillatory flow. A crucial ingredient of these models is the mass transport between adjacent ripples, which we obtain from detailed numerical simulations for a range of ripple sizes. Using this mass transport function, our models predict the existence of a stable band of wave numbers limited by secondary instabilities. Small ripples coarsen in our models and this process leads to a sharply selected final wave number, in agreement with experimental observations.
    Original languageEnglish
    JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
    Volume63
    Issue number6
    Pages (from-to)066308
    ISSN1063-651X
    DOIs
    Publication statusPublished - 2001

    Bibliographical note

    Copyright (2001) American Physical Society

    Keywords

    • WATER
    • SEDIMENT
    • OSCILLATORY FLOW
    • CHANNELS
    • DUNES
    • BED
    • GEOMETRY
    • GENERATED RIPPLES
    • EVOLUTION

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