题 目：A coupled multi-physics model and a decoupled stabilized finite element method for closed-loop geothermal system
主讲人：何晓明 教授
单 位：美国密苏里科技大学
时 间：2026年3月24日 16:00
地 点：郑州校区九章学堂209
摘 要：We propose and analyze a new coupled multi-physics model and a decoupled stabilized finite element method for the closed-loop geothermal system, which mainly consists of a network of underground heat exchange pipelines to extract the geothermal heat from the geothermal reservoir. The new mathematical model considers the heat transfer between two different flow regions, namely the porous media flow in the geothermal reservoir and the free flow in the pipes. Darcy's law and Navier-Stokes equations are considered to govern the flows in these two regions, respectively, while the heat equation is coupled with the flow equations to describe the heat transfer in both regions. Furthermore, on the interface between the two regions, four physically valid interface conditions are considered to describe the continuity of the temperature and the heat flux as well as the no-fluid-communication feature of the closed-loop geothermal system. In the variational formulation, an interface stabilization term with a penalty parameter is added to overcome the difficulty of the possible numerical instability arising from the interface conditions in the finite element discretization. To solve the proposed model accurately and efficiently, we develop a stabilized decoupled finite element method which decouples not only the two flow regions but also the heat field and the flow field in each region. The stability of the proposed method is proved. Numerical experiments are provided to demonstrate the applicability of the proposed model and the accuracy of the numerical method.
简 介：何晓明，美国密苏里科技大学教授。 2002年与2005年在四川大学数学学院分别获学士与硕士学位， 2009年在弗吉尼亚理工大学数学系获博士学位，2009年至2010年在佛罗里达州立大学作博士后。 2010年至2016年在美国密苏里科学技术大学任助理教授，2016年晋升为副教授并获终身教职，2021年晋升为正教授。担任计算数学领域国际期刊International Journal of Numerical Analysis & Modeling的共同主编。从2012年起主持了多项由美国国家科学基金会和美国能源部资助的科研项目。2014-2016年担任 SIAM美国中部分会的第一任主席和前两届年会的组织委员会主席。何晓明教授主要的研究领域是计算科学与工程。在SIAM Journal on Scientific Computing，Journal of Computational Physics，Computer Methods in Applied Mechanics and Engineering, SIAM Journal on Numerical Analysis， Mathematics of Computation，Numerische Mathematik等杂志发表论文100余篇。
