@inproceedings{cb3175d621664df98dc50936133c7a02,
title = "On numerical methods for hyperbolic conservation laws and related equations modelling sedimentation of solid-liquid suspensions",
abstract = "A classical kinematical model of sedimentation of small equal-sized particles dispersed in a viscous fluid leads to a scalar conservation law with a nonlinear flux. Several extensions of this model are reviewed, with a strong focus on recently developed numerical methods. These extensions include a one-dimensional clarifier-thickener model giving rise to a conservation law with discontinuous flux, a conservation law with nonlocal flux, systems of nonlinear conservation modelling the sedimentation of polydisperse suspensions, and sedimentation-flow models consisting of a conservation law coupled with the Stokes or Navier-Stokes system in two space dimensions. Numerical examples are presented.",
author = "F. Betancourt and Raimund B{\"u}rger and R. Ruiz-Baier and H. Torres and Vega, {C. A.}",
year = "2014",
month = feb,
day = "7",
doi = "10.1007/978-3-642-39007-42",
language = "English",
isbn = "9783642390067",
volume = "49",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "23--68",
editor = "Chen, {Gui-Qiang G} and Helge Holden and Karlsen, {Kenneth H}",
booktitle = "Hyperbolic Conservation Laws and Related Analysis with Applications",
note = "Workshop on Hyperbolic Conservation Laws and Related Analysis with Applications ; Conference date: 19-09-2011 Through 23-09-2011",
}