Hankins Sarah N, Zhou Yuqing, Lohan Danny J, Dede Ercan M
Electronics Research Department, Toyota Research Institute of North America, 1555 Woodridge Avenue, Ann Arbor, MI, 48105, USA.
Sci Rep. 2023 Sep 1;13(1):14344. doi: 10.1038/s41598-023-41316-w.
A computationally efficient dehomogenization technique was developed based on a bioinspired diffusion-based pattern generation algorithm to convert an orientation field into explicit large-scale fluid flow channel structures. Due to the transient nature of diffusion and reaction, most diffusion-based pattern generation models were solved in both time and space. In this work, we remove the temporal dependency and directly solve a steady-state equation. The steady-state Swift-Hohenberg model was selected due to its simplistic form as a single variable equation and intuitive parameter setting for pattern geometry control. Through comparison studies, we demonstrated that the steady-state model can produce statistically equivalent solutions to the transient model with potential computational speedup. This work marks an early foray into the use of steady-state pattern generation models for rapid dehomogenization in multiphysics engineering design applications. To highlight the benefits of this approach, the steady-state model was used to dehomogenize optimized orientation fields for the design of microreactor flow structures involving hundreds of microchannels in combination with a porous gas diffusion layer. A homogenization-based multi-objective optimization routine was used to produce a multi-objective Pareto set that explored the trade-offs between flow resistance and reactant distribution variability. In total, the diffusion-based dehomogenization method enabled the generation of 200 unique and distinctly different microreactor flow channel designs. The proposed dehomogenization approach permits comprehensive exploration of numerous bioinspired solutions capturing the full complexity of the optimization and Swift-Hohenberg design space.
基于一种受生物启发的基于扩散的图案生成算法，开发了一种计算效率高的去均匀化技术，以将取向场转换为明确的大规模流体流动通道结构。由于扩散和反应的瞬态性质，大多数基于扩散的图案生成模型都是在时间和空间上求解的。在这项工作中，我们消除了时间依赖性，直接求解稳态方程。选择稳态Swift-Hohenberg模型是因为其形式简单，是一个单变量方程，并且用于图案几何控制的参数设置直观。通过比较研究，我们证明了稳态模型可以产生与瞬态模型统计等效的解，并且有可能加快计算速度。这项工作标志着在多物理场工程设计应用中使用稳态图案生成模型进行快速去均匀化的早期尝试。为了突出这种方法的优点，稳态模型被用于对涉及数百个微通道并结合多孔气体扩散层的微反应器流动结构设计的优化取向场进行去均匀化。基于均匀化的多目标优化程序用于生成一个多目标帕累托集，该集探索了流动阻力和反应物分布变异性之间的权衡。总的来说，基于扩散的去均匀化方法能够生成200种独特且明显不同的微反应器流动通道设计。所提出的去均匀化方法允许全面探索众多受生物启发的解决方案，捕捉优化和Swift-Hohenberg设计空间的全部复杂性。
