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Multiresolution schemes for an extended clarifier‐thickener model
Author(s) -
Bürger Raimund,
Ruiz Ricardo,
Schneider Kai,
Sepúlveda Mauricio
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700805
Subject(s) - discretization , scheme (mathematics) , representation (politics) , clarifier , degenerate energy levels , finite volume method , feature (linguistics) , multiresolution analysis , mathematics , flux (metallurgy) , tree (set theory) , computer science , mathematical analysis , mechanics , physics , artificial intelligence , engineering , materials science , wavelet , philosophy , law , waste management , linguistics , wavelet transform , quantum mechanics , political science , metallurgy , discrete wavelet transform , politics
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. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)