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

报告人：陈传军

报告时间：2024年10月28日（周一）上午8:00开始

报告地点：数学楼315会议室

报告摘要：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.

报告人简介：陈传军，烟台大学数学与信息科学学院教授，副院长，博士生导师，山东省高等学校教学名师，山东省本科教育教学指导委员会委员、山东省黄大年式教师团队成员。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。现为国家级一流课程负责人，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60余篇。