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Topology optimization of convection-dominated, steady-state heat transfer problems

机译:对流为主的稳态传热问题的拓扑优化

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摘要

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.
机译:拓扑优化社区当前的推动力是将拓扑优化应用于除典型结构设计之外的其他物理领域的力学问题。在此,评估了一种在不明确考虑流体运动的情况下,通过传导,对流和辐射对非线性稳态传热进行拓扑优化的框架。对流占优的扩散问题容易受到数值不稳定的影响,除非在分析中对其进行适当处理,否则它们会严重影响优化。这个数值不稳定问题是这项工作的重点,在基于密度设计变量的拓扑优化的背景下讨论了它的起源,并描述了避免这种不稳定的方法。几个设计示例演示了该方法。

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