AI 中文总结
本研究提出一种考虑多向互辐射的密度基导热-辐射传热拓扑优化方法，结合分区法光线追踪辐射分析与有限元导热分析，通过算例优化出传统方法无法得到的辐射散热片与多层隔热辐射屏蔽罩。
AI 中文摘要
热管理在空间系统中至关重要，电子设备需通过辐射传热散热。为实现辐射冷却装置的高效设计，需采用拓扑优化等结构优化方法。现有拓扑优化方法虽已将辐射传热纳入并做了一定简化，但完全考虑多向互辐射仍具挑战性。针对该问题，本研究提出一种基于密度的导热-辐射传热问题拓扑优化方法，该方法考虑了多向互辐射。所提方法将基于分区法的辐射传热分析（融入光线追踪法）与有限元导热分析相结合，在优化过程中捕捉辐射效应。通过将优化过程中产生的中间材料密度视为参与介质，所提方法可对隐式表示的结构边界上的辐射传热进行物理一致的评估。采用伴随法推导解析设计灵敏度，并通过与有限差分法得到的数值灵敏度对比验证其准确性。数值算例展示了辐射散热片和辐射屏蔽罩的优化，散热片算例阐明了导热与辐射的平衡如何决定最终设计，而辐射屏蔽罩算例得到了传统方法无法获得的多层隔热结构。
英文摘要
Thermal management is essential in space systems, where electronic devices must dissipate heat via radiative heat transfer. To achieve efficient designs of radiative cooling devices, structural optimization approaches such as topology optimization are required. While existing topology optimization methods have incorporated radiative heat transfer with certain simplifications, fully accounting for multidirectional mutual radiation remains challenging. To address this issue, this study proposes a density-based topology optimization method for conduction-radiation heat transfer problems that accounts for multidirectional mutual radiation. The proposed method integrates a zonal-method-based radiative heat transfer analysis incorporating a ray-tracing method into the finite element heat conduction analysis, capturing radiation effects during the optimization process. By treating the intermediate material densities that arise during the optimization as participating media, the proposed method enables a physically consistent evaluation of radiative heat transfer on implicitly represented structural boundaries. The analytical design sensitivities are derived using the adjoint method, and the accuracy is confirmed by the comparison with the numerical sensitivities obtained by the finite difference method. Numerical examples demonstrate the optimization of radiative heat sinks and radiation shields. The heat sink examples clarify how the balance between conduction and radiation governs the resulting designs, while the radiation shield examples produce multilayer insulation structures that are not obtained by conventional approaches.
Comments38 pages, 28 figures
