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

Gert Bartholomeeusen (), Hans De Sterck () and Gilliane Sills ()
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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

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 347-356 from Springer

Abstract: 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.

Keywords: Shock Wave; Characteristic Line; Surface Settlement; Initial Porosity; Flux Function (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_31

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DOI: 10.1007/978-3-642-55711-8_31

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