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Topology optimization of periodic 3D heat transfer problems with 2D design
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0001-8460-0131
Siemens Ind Turbomachinery AB, Sweden.
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, Faculty of Science & Engineering.
2019 (English)In: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, Vol. 60, no 6, p. 2295-2303Article in journal (Refereed) Published
Abstract [en]

We consider a model for density-based topology optimization (TO) of stationary heat transfer problems with design-dependent internal convection in 3D structures with periodic design obtained by extruding a 2D design in 3D. The internal convection takes place at the interface between a solid material and a cooling fluid in internal channels through the design domain. The objective of the TO is to minimize the maximum temperature, which is approximated by means of an L-p norm. The finite element method is used to discretize the state problem and the resulting optimization problem is solved using gradient-based methods. The internal convection is modeled to be dependent on the design density gradient in the continuous problem. In discrete form, it is approximated as proportional to the difference in design densities of adjacent elements in the finite element mesh. The theory is illustrated by numerical examples based on a simplified guide vane geometry.

Place, publisher, year, edition, pages
SPRINGER , 2019. Vol. 60, no 6, p. 2295-2303
Keywords [en]
Topology optimization; Heat transfer; Design-dependent convection; Internal convection; Periodic boundary conditions; Maximum temperature
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-162963DOI: 10.1007/s00158-019-02319-2ISI: 000501440600007OAI: oai:DiVA.org:liu-162963DiVA, id: diva2:1382344
Available from: 2020-01-02 Created: 2020-01-02 Last updated: 2020-02-03

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Lundgren, JonasKlarbring, AndersThore, Carl-Johan
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