Abstract
Models for the sedimentation of polydisperse suspensions of particles differing in size or density include strictly hyperbolic or mixed hyperbolic-elliptic systems of first-order conservation laws and strongly degenerate parabolic-hyperbolic systems of second-order convection-diffusion equations. The type depends on the properties of the solid particles. We present a summary of recent analyses of such systems and a numerical simulation of the settling of a bidisperse suspension.
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Berres, S., Bürger, R., Tory, E.M. (2003). Mixed-type systems of convection-diffusion equations modeling polydisperse sedimentation. In: Wendland, W., Efendiev, M. (eds) Analysis and Simulation of Multifield Problems. Lecture Notes in Applied and Computational Mechanics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36527-3_30
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DOI: https://doi.org/10.1007/978-3-540-36527-3_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05633-8
Online ISBN: 978-3-540-36527-3
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