报告题目：Second order accurate in time and unconditionally energy stable algorithms for MHD system
报 告 人：张国栋（烟台大学 副教授）
会议时间：2022/09/21 15:00-16:30
会议地点：腾讯会议 会议号：209-889-454
报告摘要：In this talk, we discuss second-order temporal accuracy schemes for MHD equations. We first talk second order in time, linear, unconditionally stable scheme with coupled structure. The unconditional energy stability and convergence with optimal rates are proved. The Crank-Nicolson/Adams-Bashforth scheme, linearized Crank-Nicolson’s scheme and extrapolated Gear’s scheme are compared with our developed scheme. Then we discuss second-order accurate, linear, fully decoupled, and unconditionally stable scheme. This scheme is constructed by "zero-energy-functional" method satisfied by the nonlinear coupled terms. The developed scheme splits the coupled nonlinear, and saddle point type MHD system into several elliptic problems with constant coefficient. Finally, some benchmark simulations are presented.
报告人简介：张国栋，博士，现任烟台大学副教授。2015年获西安交通大学博士学位，2014.9-2015.9在宾夕法尼亚州立大学博士联合培养，2016年至今在烟台大学工作。主要研究兴趣是多物理耦合问题的数值算法，先后主持国家自然科学基金青年项目、国家自然科学基金面上项目，以第一和通讯作者在SISC,JCP,JSC,CICP等期刊发表文章19篇。
