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

Abstract

We consider a model for density-based topology optimization (TO) of stationary heat transfer problems with designdependent 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.

Multi-objective Bayesian topology optimization of a lattice-structured heat sink in natural convection

“…Many works of literature studied the topology optimization of heat sink design. The design objective was to minimize the thermal compliance (Alexandersen et al 2014(Alexandersen et al , 2016Joo et al 2017;Lohan et al 2017), to maximize the total potential energy (Iga et al 2009), to minimize the thermal resistance (Dede et al 2015;Haertel et al 2018), to minimize the temperature (Martínez-Maradiaga et al 2019;Lundgren et al 2019), etc. In this way, heat sink design was usually optimized in thermal performance (i.e., single-objective optimization).…”