Mathematical and Computational Studies of Fuel Cell Dynamics

拟议的项目是关于燃料电池动力学的数学建模和计算仿真的跨学科研究计划。请求支持PI在宾夕法尼亚州立大学电化学发动机中心(ECEC)工作一整年，该中心对燃料电池和其他先进电池进行基础和应用研究。通过与ECEC王朝阳博士领导的研究人员的日常互动，PI希望在燃料电池技术方面获得足够的第一手经验，并获得关于燃料电池发动机为什么和如何工作的理论和实践知识。有了这些经验和知识，PI希望能够在燃料电池的数学和计算研究方面与研究人员和工程师有效合作。燃料电池复杂的多尺度、多物理和多组分特性使其成为一个独特的具有挑战性的多学科研究项目，其潜在的模拟困难为网格自适应、多重网格方法和并行计算等计算方法的基础研究提供了具有挑战性的实践测试。作为回报，先进的数值算法有望显著提高燃料电池模拟的计算效率。特别是，PI拥有大量专业知识的多重网格方法(以及复杂的网格自适应)将成为燃料模拟的主要应用和研究算法，并计划与王博士的团队和他们的工业合作伙伴合作，开发一种新的基于特别定制的自适应多重网格方法的燃料电池数值模拟器。该IGMS项目由重大计划多学科活动办公室(OMA)和数学科学处(DMS)共同支持。

The proposed project is for an interdisciplinary research program on mathematical modeling and computational simulation for fuel cell dynamics. Support is requested for the PI to spend one whole year time with the Penn State Electro-chemical Engine Center (ECEC) that conduct fundamental and applied research on fuel cells and other advanced batteries. Through daily interactions with researchers at ECEC led by Dr. Chaoyang Wang, the PI expects to gain sufficient first hand experiences with fuel cell technology and to aquire both theoretical and practical knowledge on why and how a fuel cell engine works. With these experiences and knowledge, the PI hopes to be able to effectively collaborate with researchers and engineers on mathematical and computational studies of fuel cells. The complicated multiscale, multiphysics, and multicomponent features of fuel cells make it a uniquely challenging multidisciplinary research project and the underlying simulation difficulties provide challenging practical tests for basic research of computational methods such as grid adaptation, multigrid methods and parallel computing. In return, the advanced numerical algorithms are expected to significantly improve the computational efficiency for fuel cell simulations. In particular, the multigrid method (together with sophisticated grid adaptation) on which the PI has much expertise will be a major algorithm to be applied and studied for fuel simulations and a new numerical simulator based on specially tailored adaptive multigrid methods is planned to be developed for fuel cells in collaboration with Dr. Wang's group and their industrial partners. This IGMS project is jointly supported by the MPS Office of Multidisciplinary Activities (OMA) and the Division of Mathematical Sciences (DMS).