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Applications of Bottom Profile Optimization in Linear Viscous Shallow Water Flow
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: Proceedings of the 7th World Congress on Structural and Multidisciplinary Optimization, Seoul, Korea, May 2007, Guseong-dong, Yuseong-gu, Daejeon, Republic of Korea: ISSMO , 2007, 2283-2292 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, the design method for creating optimal bottom profiles inshallow water flow problems, proposed in Wiker et al., is investigated further.The method was inspired by techniques commonly found in the area oftopology optimization of structures, and uses the linear viscous shallow water

equations as state equations in the optimization problem. In Wiker et al.,an area–to–point flow problem was investigated, seeking the bottom profilewhich most efficiently transports a fluid added inside the domain, towards apoint on the boundary. Specifically, the influence on the solution of some ofthe problem parameters was tested, and it was concluded that natural–likedesigns can be created for proper choices of parameter values.In the present work, bottom profiles of two other problem types are studied— the point–to–line problem and the line–to–line problem. In the firstproblem, in order to mimic a river delta, an inflow is prescribed on a smallpart (point) of the boundary of a domain. To exit the domain on the oppositeside, the fluid is forced to pass a line of limited depth. For the secondproblem, a number of inflows are prescribed on one side (inflow line) of a rectangular domain and the fluid is then allowed to exit anywhere on theopposite side (outflow line). This can be seen as modeling the spillway frome.g. a dam.

Place, publisher, year, edition, pages
Guseong-dong, Yuseong-gu, Daejeon, Republic of Korea: ISSMO , 2007. 2283-2292 p.
Keyword [en]
Optimal bottom profile shallow water equations point-to-line flow line-to-flow
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:liu:diva-14853OAI: oai:DiVA.org:liu-14853DiVA: diva2:25358
Available from: 2008-09-26 Created: 2008-09-26 Last updated: 2017-05-15
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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