毛士鹏 研究员（4 Jun. 2023）.pdf

应用数学讲座 Научный Семинар по Прикладной Математике Research Seminar on Applied Mathematics 应用数学报告（79） 报告人 / Докладчик / Speaker: 毛士鹏 研究员（AMSS, Chinese Academy of Sciences） 题 目 / Название / Title: Energy stable numerical methods for a fully coupled multiphysics model of ferroflfluids 时间 / Время / Time：4 June. 2023, 9:00-11:00， 14:00-17:00 地点 / Место / Venue: 主楼336 摘要 / Аннотация / Abstract: The ferrofluids models frequently-used in the computation are usually obtained under the assumption of static magnetic field and non-conductive fluid, which are quite difficult to design energy stable numerical methods and establish the corresponding convergence theory. In this work, we consider a fully coupled multiphysics ferrofluids model composed of the incompressible Navier-Stokes equation, magnetization equation and Maxwell equation, which allows it to cover more kinds of magnetic fluids and possess a higher model accuracy than the ferrofluids equation commonly used in traditional computation. We show the energy law based on the appropriate variational model of the fully coupled ferrofluids and propose a fully discrete finite element scheme with unconditional energy stability. The existence theory and convergence analysis for the numerical solutions are established. Finally, we test the influence of a physical parameter on the fluid flow and simulate that the applied magnetic field can drive the ferrofluid flow in threedimensional case. 毛士鹏研究员简介： 毛士鹏，中国科学院数学与系统科学研究院研究员。2008年获中国科学院数学与系统科 学研究院理学博士学位, 然后留所工作至今，期间于2008-2012年分别在法国的INRIA以及在 瑞士苏黎世联邦理工学院(ETH Zurich) 做博士后。主要研究工作有限元方法及其应用, 磁流 体力学计算等方面， 至今已在在 Numer. Math.、Math. Comp., SIAM. J. Numer. Math., SIAM J.Sci.Computing，M3AS等杂志上发表论文60余篇。 曾入选中科院青年创新促进会会员和获 得中科院朱李月华优秀教师奖。 访问学者以及需要做报告的学者请联系 张晔 教授 / Всем желающим выступить с докладами на семинаре просьба обращаться к Чжану Е ye.zhang@smbu.edu.cn