Topology optimization of periodic 3D heat transfer problems with 2D design

Lundgren, JonasLinköpings universitet,Mekanik och hållfasthetslära,Tekniska fakulteten (författare)

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.

NATURVETENSKAP Matematik Beräkningsmatematik hsv//swe
NATURAL SCIENCES Mathematics Computational Mathematics hsv//eng
Topology optimization; Heat transfer; Design-dependent convection; Internal convection; Periodic boundary conditions; Maximum temperature

Klarbring, AndersLinköpings universitet,Mekanik och hållfasthetslära,Tekniska fakulteten(Swepub:liu)andkl97 (författare)
Lundgren, Jan-ErikSiemens Ind Turbomachinery AB, Sweden (författare)
Thore, Carl-JohanLinköpings universitet,Mekanik och hållfasthetslära,Tekniska fakulteten(Swepub:liu)carth26 (författare)
Linköpings universitetMekanik och hållfasthetslära (creator_code:org_t)

Ingår i:Structural and multidisciplinary optimization (Print): SPRINGER60:6, s. 2295-23031615-147X1615-1488

Av författaren/redakt...: Lundgren, Jonas; Klarbring, Ander ...; Lundgren, Jan-Er ...; Thore, Carl-Joha ...

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