Multiresolution schemes for an extended clarifier-thickener model

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

doi:10.1002/pamm.200700805

Multiresolution schemes for an extended clarifier-thickener model

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

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

Abstract

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 language	English
Title of host publication	Proceedings in Applied Mathematics and Mechanics
Subtitle of host publication	Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting
Place of Publication	Germany
Pages	1041803-1041804
Volume	7
DOIs	https://doi.org/10.1002/pamm.200700805
Publication status	Published - 2007

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10.1002/pamm.200700805

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Cite this

@inproceedings{a2977c3b1cfb4c059fbfa6b2de8abd2c,

title = "Multiresolution schemes for an extended clarifier-thickener model",

abstract = "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.",

author = "Raimund B{\"u}ger and {Ruiz Baier}, Ricardo and Kai Schneider and Mauricio Sep{\'u}lveda",

year = "2007",

doi = "10.1002/pamm.200700805",

language = "English",

volume = "7",

pages = "1041803--1041804",

booktitle = "Proceedings in Applied Mathematics and Mechanics",

}

Büger, R, Ruiz Baier, R, Schneider, K & Sepúlveda, M 2007, Multiresolution schemes for an extended clarifier-thickener model. in Proceedings in Applied Mathematics and Mechanics: Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting. vol. 7, Germany, pp. 1041803-1041804. https://doi.org/10.1002/pamm.200700805

Multiresolution schemes for an extended clarifier-thickener model. / Büger, Raimund; Ruiz Baier, Ricardo; Schneider, Kai et al.
Proceedings in Applied Mathematics and Mechanics: Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting. Vol. 7 Germany, 2007. p. 1041803-1041804.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

TY - GEN

T1 - Multiresolution schemes for an extended clarifier-thickener model

AU - Büger, Raimund

AU - Ruiz Baier, Ricardo

AU - Schneider, Kai

AU - Sepúlveda, Mauricio

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

U2 - 10.1002/pamm.200700805

DO - 10.1002/pamm.200700805

M3 - Conference Paper

VL - 7

SP - 1041803

EP - 1041804

BT - Proceedings in Applied Mathematics and Mechanics

CY - Germany

ER -