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A coupled multi-physics model and a decoupled stabilized finite element method for closed-loop geothermal system

作者:   时间:2021-09-14   点击数:

Lecturer: Xiaoming He

Abstract:The closed-loop geothermal system mainly consists of a network of underground heat exchange pipelines to extract the geothermal heat from the geothermal reservoir. The newly proposed coupled multi-physics 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 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. Numerical experiments are provided to demonstrate the features of the proposed model and numerical method.

Introduction to the Lecturer:He Xiaoming received a bachelor's degree and a master's degree from the School of Mathematics of Sichuan University in 2002 and 2005 separately, and a doctor's degree from the Department of Mathematics of Virginia Tech University in 2009, and studied as a postdoctoral student from Florida State University from 2009 to 2010. From 2010 to 2016, he served as an assistant professor at Missouri University of Science and Technology, was promoted to an associate professor and tenure in 2016, and was promoted to a full professor in 2021. He won Humboldt Research Fellowship for Experienced Researchers in 2018. He served as the editorial board member of international journals in the field of computational mathematics - International Journal of Numerical Analysis & Modeling. From 2014 to 2016, he served as the first chairman of SIAM Central Branch of America and the chairman of the Organizational Committee of the previous two annual conferences of SIAM. Since January 2021, he becomes one member of SIAM Committee on Programs and Conferences. Since July 2021, he becomes Faculty Fellow to Vice Chancellor of Research of Missouri University of Science and Technology. Professor He Xiaoming is mainly engaged in the research of computational science and engineering. He mainly focuses on interface problem, computational fluid dynamics, computational electromagnetism, data assimilation, stochastic partial differential equations and control problem. He combines computational mathematics with practical engineering application and has done a lot of work in the field of scientific calculation and application. He has published over 70 papers in journals such as 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,IEEE Transactions on Plasma Science,Lab on a Chip.

Invitee: Du Ning, Zhao Wenju

Time:10:30-12:00, September 17 (Friday)

Venue:Tencent Meeting ID:584 461 406

Click the link to join the meeting: https://meeting.tencent.com/dm/Rr6sRVyDHYHp?rs=25

Hosted by the School of Mathematics, Shandong University

地址:中国山东省济南市山大南路27号   邮编:250100  

电话:0531-88364652  院长信箱:sxyuanzhang@sdu.edu.cn

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