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On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment

Bürger, Raimund; Diehl, Stefan LU ; Farås, Sebastian LU and Nopens, Ingmar (2012) In Computers & Chemical Engineering 41. p.93-105
Abstract (Swedish)
Abstract in Undetermined

A one-dimensional model for the sedimentation-compression-dispersion process in the secondary settling tank can be expressed as a nonlinear strongly degenerate parabolic partial differential equation (PDE), which has coefficients with spatial discontinuities. Reliable numerical methods for simulation produce approximate solutions that converge to the physically relevant solution of the PDE as the discretization is refined. We focus on two such methods and assess their performance via simulations for two scenarios. One method is provably convergent and is used as a reference method. The other method is less efficient in reducing numerical errors, but faster and more easily implemented. Furthermore,... (More)
Abstract in Undetermined

A one-dimensional model for the sedimentation-compression-dispersion process in the secondary settling tank can be expressed as a nonlinear strongly degenerate parabolic partial differential equation (PDE), which has coefficients with spatial discontinuities. Reliable numerical methods for simulation produce approximate solutions that converge to the physically relevant solution of the PDE as the discretization is refined. We focus on two such methods and assess their performance via simulations for two scenarios. One method is provably convergent and is used as a reference method. The other method is less efficient in reducing numerical errors, but faster and more easily implemented. Furthermore, we demonstrate some pitfalls when deriving numerical methods for this type of PDE and can thereby rule out certain methods as unsuitable; among others, the wide-spread Takacs method. (c) 2012 Elsevier Ltd. All rights reserved. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Secondary settling tank, Wastewater treatment plant, Method of lines, Godunov flux, Numerical method, Efficiency
in
Computers & Chemical Engineering
volume
41
pages
93 - 105
publisher
Elsevier
external identifiers
  • wos:000304734800008
  • scopus:84860639552
ISSN
1873-4375
DOI
10.1016/j.compchemeng.2012.02.016
language
English
LU publication?
yes
id
53d71e22-d507-4c6f-980a-76171c518bfd (old id 2493139)
date added to LUP
2012-07-10 16:39:42
date last changed
2017-10-22 03:29:25
@article{53d71e22-d507-4c6f-980a-76171c518bfd,
  abstract     = {<b>Abstract in Undetermined</b><br/><br>
A one-dimensional model for the sedimentation-compression-dispersion process in the secondary settling tank can be expressed as a nonlinear strongly degenerate parabolic partial differential equation (PDE), which has coefficients with spatial discontinuities. Reliable numerical methods for simulation produce approximate solutions that converge to the physically relevant solution of the PDE as the discretization is refined. We focus on two such methods and assess their performance via simulations for two scenarios. One method is provably convergent and is used as a reference method. The other method is less efficient in reducing numerical errors, but faster and more easily implemented. Furthermore, we demonstrate some pitfalls when deriving numerical methods for this type of PDE and can thereby rule out certain methods as unsuitable; among others, the wide-spread Takacs method. (c) 2012 Elsevier Ltd. All rights reserved.},
  author       = {Bürger, Raimund and Diehl, Stefan and Farås, Sebastian and Nopens, Ingmar},
  issn         = {1873-4375},
  keyword      = {Secondary settling tank,Wastewater treatment plant,Method of lines,Godunov flux,Numerical method,Efficiency},
  language     = {eng},
  pages        = {93--105},
  publisher    = {Elsevier},
  series       = {Computers & Chemical Engineering},
  title        = {On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment},
  url          = {http://dx.doi.org/10.1016/j.compchemeng.2012.02.016},
  volume       = {41},
  year         = {2012},
}