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Non-convex Flux Functions and Compound Shock Waves in Sediment Beds

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • Gert Bartholomeeusen

    (University of Oxford, Department of Engineering Science)

  • Hans De Sterck

    (University of Colorado at Boulder, Department of Applied Mathematics)

  • Gilliane Sills

    (University of Oxford, Department of Engineering Science)

Abstract

Sediment layers deposited under water undergo a deformation that for low soil concentrations can be described by a scalar nonlinear hyperbolic conservation law. The associated flux function is non-convex and compound shock waves arise, which are shocks followed or preceded by a rarefaction with the shock speed equal to the wave speed at the point of attachment. The paper describes an experimental study of compound shock waves in sediment beds and the numerical modelling of the sedimentation process using an experimentally obtained flux function for kaolinite soil. The work also fits in a broader investigation of the transition parameter between the physical processes of soil sedimentation and consolidation, as the data obtained allows identification of this parameter.

Suggested Citation

  • Gert Bartholomeeusen & Hans De Sterck & Gilliane Sills, 2003. "Non-convex Flux Functions and Compound Shock Waves in Sediment Beds," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 347-356, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_31
    DOI: 10.1007/978-3-642-55711-8_31
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