The world's transition towards carbon neutrality is being driven by renewable energy sources and advancements in battery technology. Among these innovations, hydrogen energy stands out as a zero-carbon energy carrier crucial for combating climate change and decarbonizing the energy system. Proton exchange membrane fuel cells (PEMFCs) are identified as a promising solution for green energy power generation due to their efficiency and environmental benefits. However, the performance of PEMFCs faces limitations related to factors such as kinetic characteristics, power density, and cost. To address these challenges, Youliang Cheng and colleagues have proposed a cutting-edge design methodology known as '2D Topology-Curvature Optimization' to enhance the efficiency of PEMFCs. This innovative approach combines topology and curvature optimization to refine the bend area structures of serpentine flow channels within PEMFCs, ultimately improving mass and heat transfer processes. By conducting numerical simulations, the researchers compared the performance of the optimized model with other optimization techniques and a validation model. The results of the study showcase a significant enhancement in convection and diffusion processes within the flow field of PEMFCs. This improvement leads to better transport and distribution of oxygen and water, consequently boosting the overall performance of the fuel cell. Among the optimized models, 'Topology Structure-III' showed the most substantial increase in peak current density and power density, with improvements of 4.72% and 3.12%, respectively. Moreover, an efficiency evaluation criterion revealed that another optimized model, 'TS-II,' exhibited the best overall performance when considering the relationship between performance enhancement and pressure drop. This research contributes a valuable method for optimizing PEMFC design, offering a streamlined approach to developing enhanced structural models and reducing time and costs associated with trial and error in the design process. The findings from this study hold significant promise for advancing the integration of hydrogen fuel cells in various applications, thereby playing a crucial role in global efforts towards achieving carbon neutrality.