汇报标题 (Title):Numerical analysis and simulation for two-phase incompressible flows(两相不成压缩流的数值分析与模拟)
汇报人 (Speaker):李晓丽 教授(山东大学)
汇报功夫 (Time):2023年9月8日(周五) 9:00
汇报地址 (Place):校本部A201、腾讯会议号:663-198-797 (无密码)
约请人(Inviter):侯宝慧
主办部门:理学院数学系
汇报提要:In this talk, we will first present several efficient and high-precision schemes for the two-phase incompressible flows. These schemes are linear, decoupled and only require solving a sequence of Poisson type equations at each time step. We carry out a rigorous error analysis for the first-order scheme, establishing optimal convergence rate for all relevant functions in different norms. Next we shall discuss the consistent splitting approach for the two-phase incompressible flows and carry out theoretical analysis.