Multiresolution schemes for an extended clarifier-thickener model

Raimund Büger, Ricardo Ruiz Baier, Kai Schneider, Mauricio Sepúlveda

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A fully adaptive finite volume multiresolution scheme for one‐dimensional strongly degenerate parabolic equations with discontinuous flux modelling an extended clarifier‐thickener, is presented. The numerical scheme is based on a finite volume discretization using the approximation of Engquist‐Osher for the flux and explicit time stepping. Cell averages multiresolution scheme speeds up CPU time and memory requirements. A particular feature of our scheme is the storage of the multiresolution representation of the solution in a dynamic graded tree.
Original languageEnglish
Title of host publicationProceedings in Applied Mathematics and Mechanics
Subtitle of host publicationSpecial Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting
Place of PublicationGermany
Publication statusPublished - 2007

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