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Optimization of bottom profile in shallow water flow
Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-8460-0131
Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

In t his paper, a design method for creating optimal bottom profiles in flow systems, described by the linear shallow water equations, is proposed. The method is based on techniques commonly found in the area of topology optimization of structures. The presentation includes a derivation of the linearand stationary shallow water equations, which are used as state equations in the optimizaton problem. The final problem definition is closely related to the Darcy-Stokes fluid flow topology optimization problem, from which many results are derived by analogy.

From the numerical examples, it is concluded that natural-like designs can be created for proper choices of parameter values.

National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-102486OAI: oai:DiVA.org:liu-102486DiVA: diva2:678490
Available from: 2013-12-12 Created: 2013-12-12 Last updated: 2017-05-15
In thesis
1. Topology optimization in fluid flow problems
Open this publication in new window or tab >>Topology optimization in fluid flow problems
2006 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

In this thesis, the topic of topology optimization in fluids is studied. With emphasis on modeling aspects, the general framework for formulating such problems is presented through a derivation of a sample problem. A survey of the literature, summarizing the developments in the area, forms the first part of the thesis.

The second part consists of two new contributions to this field. In the first paper, the problem of finding the optimal topology of fluid channels in a permeable material is examined. Theoretical results include proof of existence of solutions, as well as conditions for obtaining completely discrete designs. Numerical examples are provided to demonstrate the method.

Using methodologies from topology opt imization, in paper two, a design method is proposed for creating optimal bottom profiles for shallow water flow systems. Although this is not a topology optimization problem, since a continuous solution is sought, several results carry over due to a close relation to the problem described in the first paper.

Place, publisher, year, edition, pages
Linköping: Linköpings universitet, 2006. 35 p.
Series
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1278
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-41382 (URN)55914 (Local ID)91-85643-69-6 (ISBN)55914 (Archive number)55914 (OAI)
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2013-12-12

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Wiker, NiclasKlarbring, AndersBorrvall, Thomas

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