讲座主题：A conservative fully discrete scheme for a two-phase, incompressible, inductionless magnetohydrodynamic (MHD)

专家姓名：毛士鹏

工作单位：中科院数学与系统科学研究院

讲座时间：2024年04月20日 9:30-10:00

讲座地点：数学与信息科学学院341

主办单位：烟台大学数学与信息科学学院

内容摘要：

We propose and study the phase field model on a three-dimensional bounded domain for a two-phase, incompressible, inductionless magnetohydrodynamic (MHD) system, which are important for many engineering applications. To efficiently and accurately solve this multi-physics nonlinear system, we present a fully discrete scheme that ensures both mass and charge conservation. Making use of the discrete energy law, we demonstrate that the fully discrete scheme satisfies unconditional energy stability. Subsequently, by utilizing the Leray-Schauder Principle, we establish the existence of solutions to the discrete scheme. As both mesh size and time step size tend to zero, we prove that the discrete solutions converge to the weak solution of the continuous problem. Finally, several three-dimensional numerical experiments, including the accuracy test, the bubble coalescence, the drop deformation and the Kelvin-Helmholtz (KH) instability, are performed to validate the reliability and efficiency of the proposed numerical scheme.

主讲人介绍：

毛士鹏，中科院数学与系统科学研究院研究员、博士生导师，中科院大学岗位教授。2008年博士毕业于中科院数学与系统科学研究院，2008-2012先后在在法国国家信息自动化研究院（INRIA）以及在瑞士苏黎世高工(ETHZurich)做博士后和研究助理，2008-2019年在中科院数学与系统科学研究院分别任助理研究员和副研究员，2019年升任研究员。在包括有限元方法，自适应方法，计算流体力学和磁流体力学等领域取得一系列重要成果。曾获中科院院长奖，中科院朱李月华优秀教师奖等，入选中科院青促会会员，主持和参加十余项基金委和科技部项目。