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Simplified shallow water flow equations and their potential use in bottom profile optimization
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-8460-0131
Linköping University, Department of Management and Engineering. Linköping University, The Institute of Technology.
2007 (English)In: Zeitschrift für angewandte Mathematik und Mechanik, ISSN 0044-2267, E-ISSN 1521-4001, Vol. 87, no 11-12, 792-808 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, an optimization method for systems described by linearizedviscous shallow water equations is proposed. It can potentially be used tooptimize bottom profiles and is based on techniques commonly found in thearea of topology optimization of structures, but with the difference that acontinuous, and not discrete, design is sought. The presentation includes aderivation and linearization of the stationary viscous shallow water equations,which are used as state equations in the optimization problem. The finalproblem definition is closely related to the Darcy–Stokes fluid flow topologyoptimization problem, from which many results are derived by analogy.

From the numerical examples it is concluded that natural–like designscan be created for proper choices of parameter values. However, presentlythe model is not physically validated and its exact domain of application isnot yet known.

Place, publisher, year, edition, pages
2007. Vol. 87, no 11-12, 792-808 p.
Keyword [en]
Shallow water flow, bottom profile optimization, topology optimization
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:liu:diva-14852DOI: 10.1002/zamm.200610356OAI: oai:DiVA.org:liu-14852DiVA: diva2:25357
Available from: 2008-09-26 Created: 2008-09-26 Last updated: 2017-12-13Bibliographically approved
In thesis
1. Optimization in Continuum Flow Problems
Open this publication in new window or tab >>Optimization in Continuum Flow Problems
2008 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The work presented in this dissertation was carried out at the Division ofMechanics, Department of Management and Engineering at Link¨oping University,between 2003 and 2008. It was supervised by Prof. Anders Klarbring,head of the division, and financially supported by the National GraduateSchool of Scientific Computing (NGSSC) and the Swedish Research Council(VR).

There are many people to whom I would like to express my gratitude: firstand foremost I would like to thank my supervisor Prof. Anders Klarbring forhis help, support and endless patience during our discussions, and for alwayshaving time to read and comment on the numerous drafts that eventually ledto the research manuscripts presented in this thesis. I would also like to thankmy co–supervisor Dr. Thomas Borrvall for all his help regarding numericalissues, especially with the implementation of the models. Moreover, I wouldlike to thank present and former colleagues for their inspiration and assistanceduring my time as a graduate student at the division.

Last but not least, I am very grateful for having a family that has alwaysbeen there to support me, and for all my friends who enrich my life outsidethe office walls in more ways then I can say.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2008. 37 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 1196
Keyword
Fluid mechanics, Continuum flow problem
National Category
Fluid Mechanics and Acoustics
Identifiers
urn:nbn:se:liu:diva-14857 (URN)9789173938518 (ISBN)
Public defence
2008-09-19, C3, C-huset, Campus Valla, Linköpings universitet, Linköping, 10:15 (English)
Opponent
Supervisors
Available from: 2008-09-26 Created: 2008-09-26 Last updated: 2017-12-14Bibliographically approved

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Wiker, NiclasKlarbring, AndersBorrvall, Thomas

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