an:02132412
Zbl 1299.76283
B??rger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
Monotone difference approximations for the simulation of clarifier-thickener units
EN
Comput. Vis. Sci. 6, No. 2-3, 83-91 (2004).
00096192
2004
j
76T20 76M20
Summary: Clarifier-thickener units treating ideal suspensions can be modeled as an initial-value problem for a nonconvex scalar conservation law whose flux depends on a vector of discontinuous parameters. This problem can be treated by the well-known Engquist-Osher scheme if the discontinuous paremeters are discretized on a grid staggered against that of the conserved variable. We prove convergence of this scheme to a weak solution of the problem and illustrate its application to the clarifier-thickener setup by a numerical example.