IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-55711-8_36.html
   My bibliography  Save this book chapter

On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • R. Bürger

    (University of Stuttgart, Institute of Applied Analysis and Numerical Simulation)

  • K. H. Karlsen

    (University of Bergen, Department of Mathematics)

  • N. H. Risebro

    (University of Oslo, Department of Mathematics)

  • J. D. Towers

    (MiraCosta College)

Abstract

We study a clarifier-thickener unit considering that its cross-sectional area is not constant in both the clarification and the thickening zones. A mathematical model of sedimentation in such a vessel can be formulated as an initial value problem for a scalar conservation law with a nonconvex spatially varying flux and several types of discontinuities with respect to the space variable. Weak solutions of this non-standard conservation law are approximated by an extension of the well-known Engquist-Osher scheme. The key new ingredient is the discretization of the discontinuous flux parameters on a grid staggered against that of the conserved (sought) variable. The mathematical model and the numerical scheme are illustrated by a number of simulations.

Suggested Citation

  • R. Bürger & K. H. Karlsen & N. H. Risebro & J. D. Towers, 2003. "On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 397-406, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_36
    DOI: 10.1007/978-3-642-55711-8_36
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-642-55711-8_36. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.