Level set-based topology optimization for maximization of heat exchange performance

Abstract

The present study proposes a level set-based topology optimization method to maximize heat exchange performance. The topology optimization allows not only the boundary advection but also a new boundary to be created during the optimization process. The location and the shape of the heat transfer boundary has a significant influence on the temperature distribution, because heat exchange occurs at the boundary of the structure. In this study, sensitivity analysis considering heat transfer boundary, which is a design-dependent boundary condition, is performed. In particular, considering that the topological derivative and shape sensitivity are defined by different equations in this problem, we propose a new sensitivity that combines these two sensitivities. In addition, we introduce a method to automatically set the heat transfer boundary condition that occurs during the optimization process. It is verified by a series of numerical examples that the proposed method provides reliable optimization results.