講座主題：A conservative fully discrete scheme for a two-phase, incompressible, inductionless magnetohydrodynamic (MHD)
專家姓名：毛士鵬
工作單位：中科院數學與系統科學研究院
講座時間：2024年04月20日 9:30-10:00
講座地點：數學與信息科學學院341
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
毛士鵬，中科院數學與系統科學研究院研究員、博士生導師，中科院大學崗位教授。2008年博士畢業于中科院數學與系統科學研究院，2008-2012先后在在法國國家信息自動化研究院（INRIA）以及在瑞士蘇黎世高工(ETHZurich)做博士后和研究助理，2008-2019年在中科院數學與系統科學研究院分別任助理研究員和副研究員，2019年升任研究員。在包括有限元方法，自適應方法，計算流體力學和磁流體力學等領域取得一系列重要成果。曾獲中科院院長獎，中科院朱李月華優秀教師獎等，入選中科院青促會會員，主持和參加十余項基金委和科技部項目。
