On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment
(2012) In Computers & Chemical Engineering 41. p.93-105- Abstract
- 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... (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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2493139
- author
- Bürger, Raimund ; Diehl, Stefan LU ; Farås, Sebastian LU and Nopens, Ingmar
- organization
- publishing date
- 2012
- 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
- 2016-04-01 11:07:20
- date last changed
- 2022-01-26 05:33:22
@article{53d71e22-d507-4c6f-980a-76171c518bfd, abstract = {{Abstract in Undetermined<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}}, keywords = {{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}}, doi = {{10.1016/j.compchemeng.2012.02.016}}, volume = {{41}}, year = {{2012}}, }