Adjoint-based shape optimization for radiative transfer using level-set function and volume penalization method
Adjoint-based shape optimization for radiative transfer using level-set function and volume penalization method
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DOI：
10.1016/j.ijheatmasstransfer.2023.124158
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发表时间：
2023
影响因子：
5.2
通讯作者：
Ming Liu;Y. Hasegawa
中科院分区：
文献类型：
--
作者：
Ming Liu;Y. Hasegawa
基于伴随分析并结合水平集函数和体积惩罚方法，建立了辐射传热表面的逆设计。水平集函数用于表示嵌入笛卡尔网格系统中的任意复杂几何形状，而体积惩罚方法用于模拟前向辐射传输问题。然后，从伴随分析中获得当前形状相对于规定成本函数的敏感性，并将其用于更新形状。整个逆向设计过程，包括正向分析和伴随分析以及基于伴随分析的形状更新，均在开源 CFD 求解器 OpenFOAM 上实现。考虑现有文献中的两个纯辐射问题来验证所提出的方法。两个问题中所得的最佳几何形状与参考数据非常一致。最后，将本方法应用于更复杂的三维问题，以验证其对复杂几何形状的适用性。
A inverse design of a radiative heat transfer surface is established based on an adjoint analysis combined with a level-set function and a volume penalization method. The level-set function is employed to represent an arbitrary complex geometry embedded in a Cartesian grid system, whereas the volume penalization method is applied to simulate a forward radiative transfer problem. Then, the sensitivity of a current shape with respect to a prescribed cost functional is obtained from adjoint analysis, and it is used to update the shape. The entire inverse design procedures including the forward and adjoint analyses as well as the shape update based on the adjoint analysis are implemented to an open-source CFD solver, OpenFOAM. Two pure radiation problems from the existing literature are considered for verifying the proposed method. The resultant optimal geometries in both problems show good agreement with the reference data. Finally, the present method is applied to a more complex three-dimensional problem to validate the strength of its applicability to complex geometries.