报告地点：行健楼学术活动室526

邀请人：陈金如教授

摘要：In this talk we present a class of linear, fully decoupled and high-order implicit-explicit (IMEX) schemes for the two-phase incompressible flows based on the generalized scalar auxiliary variable approach with a new relaxation for Cahn-Hilliard equation and consistent splitting method for Navier-Stokes equation. These schemes are linear, fully decoupled, unconditionally energy stable, only require solving a sequence of elliptic equations with constant coefficients at each time step, and provide a new technique to preserve the consistency between original energy and modified energy. We derive that numerical solutions of these schemes are uniformly bounded without any restriction on time step size. Furthermore, we carry out a rigorous error analysis for the first-order scheme and establish optimal global error estimates for the phase function, velocity and pressure in two and three-dimensional cases. Numerical examples are presented to validate the proposed schemes.

个人简介：李晓丽，山东大学教授，博士生导师，国家高层次青年人才入选者，山东省杰青，山东大学杰出中青年学者。担任中国数学会计算数学分会常务理事。主要研究领域为偏微分方程数值解与计算流体力学。在SIAM J. Numer. Anal., SIAM J. Sci. Comput., Math. Comp., J. Fluid Mech., Math. Mod. Meth. Appl. Sci.及J Comput. Phys.等计算数学高水平期刊上发表学术论文多篇。2019年入选“博士后创新人才支持计划”，主持国家自然科学基金面上项目、重点项目子课题、青年项目等多个国家及省部级项目。