报告题目：An efficient numerical scheme for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model

主讲人：陈传军 教授（烟台大学）

报告邀请人：李树光副教授

报告时间：2023年12月25日上午9:00-10:00

报告地点：数理楼224

报告摘要：In this talk, an efficient fully-decoupled and fully-discrete numerical scheme with second-order temporal accuracy is developed to solve the incompressible hydrodynamically coupled Cahn-Hilliard model for simulating the two-phase fluid flow system. The scheme is developed by combining the finite element method for spatial discretization and several effective time marching approaches, including the pressure-correction projection method for dealing with fluid equations and the explicit-IEQ approach for dealing with the coupled nonlinear terms. The obtained scheme is very efficient since it only needs to solve several decoupled, linear elliptic equations with constant coefficients at each time step. We also strictly prove the solvability and unconditional energy stability of the scheme, and verify the accuracy and stability through numerical examples.

个人简历：陈传军，烟台大学数学与信息科学学院教授，副院长，中国数学会计算数学学会理事，山东省本科教育教学指导委员会委员。主要从事计算数学偏微分方程数值解法、科学工程与计算等领域的研究。国家级一流本科课程“数学建模”负责人，山东省课程思政示范课程负责人，主编教材1部，主持山东省本科高校教改课题重点项目1项，首位获得山东省高等教育教学成果一等奖1项。主持国家自然科学基金面上项目2项、青年项目1项，获山东省自然科学二等奖1项，高等学校科学技术奖一等奖2项，在国际期刊“J. Comput. Phys.”“Comput. Methods Appl. Mech. Engrg.”“Sci. China Math.”等杂志发表学术论文50余篇。