Topology optimization of convection-dominated,steady-state heat transfer problems |
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Affiliation: | 1. College of Mechanical and Electrical Engineering, Qingdao University, Qingdao 266071, China;2. National Engineering Research Center for Intelligent Electrical Vehicle Power System, Qingdao University, Qingdao 266071, China;3. State Key Laboratory for Alternate Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China |
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Abstract: | The current push in the topology optimization community is to apply topology optimization to mechanics problems beyond typical structural design to other physical domains. Here, a framework for topology optimization of nonlinear steady-state heat transfer with conduction, convection, and radiation without explicitly accounting for fluid motion is evaluated. Convection-dominated diffusion problems are susceptible to numerical instabilities that, unless they are handled properly in the analysis, can severely affect the optimization. This numerical instability issue is the focus of this work, its origin is discussed in the context of density-design-variable-based topology optimization, and a method for avoiding such instabilities is described. Several design examples demonstrate the approach. |
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