Topology optimization of thermal cloaks in euclidean spaces and manifolds using an extended level set method
Topology optimization of thermal cloaks in euclidean spaces and manifolds using an extended level set method
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DOI：
10.1016/j.ijheatmasstransfer.2022.123720
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发表时间：
2023-03
影响因子：
5.2
通讯作者：
Xiaoqiang Xu;X. Gu;Shikui Chen
中科院分区：
文献类型：
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作者：
Xiaoqiang Xu;X. Gu;Shikui Chen
热斗篷是一种设计用来保护物体不受热探测的装置，这引起了人们越来越多的研究兴趣。本文提出了在纯热传导的背景下，使用基于水平集的形状和拓扑优化设计的热斗篷。隐身效果是通过优化两种块状导热材料的分布来实现的，以消除由于将绝缘体（隐身区域）引入均匀导热介质而引起的温度扰动。优化的热斗篷是免费的高各向异性和非均匀性常见的流行的变换热或散射抵消方法。由于水平集表示的清晰边界特性，与基于密度的拓扑优化方法相比，不需要复杂的滤波技术来抑制“灰色区域”的出现。考虑到需要热隐身的设备组件，例如，传感器，可以采取任意的自由形式的形状，共形热斗篷的流形上也拓扑优化使用扩展水平集方法（X-LSM），这还没有在文献中报道。通过求解（修正的）Hamilton-Jacobi方程来演化结构边界。所提出的方法来设计具有隐身功能的热元器件的可行性和鲁棒性通过具有不同隐身区域（圆形，人形，球形和弯曲圆形）的一些2D和3D（固体和壳体）数值示例来证明。这项工作可能会揭示进一步探索的热元器件在热通量操纵制度。
Thermal cloaks are devices designed to shield an object against thermal detection, which have attracted growing interest in research. This paper proposes to design thermal cloaks using the level-set-based shape and topology optimization in the context of pure heat conduction. The cloaking effect is achieved by optimizing the distribution of two bulk heat conductive materials to eliminate the temperature disturbance induced by the introduction of the insulator (cloaking region) into a homogeneous thermal conduction medium. The optimized thermal cloaks are free of high anisotropy and nonhomogeneity commonly seen in the popular transformation thermotics or scattering cancellation methods. Due to the clear boundary characteristic of the level set representation, no sophisticated filtering techniques are required to suppress the appearance of ”gray regions” as opposed to the density-based topology optimization methods. Considering the fact that the device components that need to be thermally cloaked, e.g., sensors, can take an arbitrary free-form shape, a conformal thermal cloak on the manifold is also topologically optimized using the extended level set method (X-LSM), which has not been reported in the literature. The structural boundary is evolved by solving the (modified) Hamilton-Jacobi equation. The feasibility and robustness of the proposed method to design thermal meta-devices with cloaking functionality are demonstrated through a number of 2D and 3D (solid and shell) numerical examples with different cloaking regions (circular, human-shaped, spherical, and curved circular). This work may shed light on further exploration of the thermal meta-devices in the heat flux manipulation regime.