题目：Two phase flows in superposed free flow and porous media: modeling, analysis and numerical methods

报告人：韩道志密苏里科技大学

时间：2021年05月21日（星期五）09：00-11：00

腾讯线上会议地点：https://meeting.tencent.com/s/EBoHzT586rqM

会议ID：663 994 395

报告摘要：

In this talk we derive a diffuse interface model for two-phase flows in superposed free flow and porous media. The model consists of the Cahn-Hilliard-Navier-Stokes equations in free flow and the Cahn-Hilliard-Darcy equations in porous media coupled through a set of domain interface boundary conditions. We establish global-in-time existence of weak solution as well as the weak-strong uniqueness of the model. We then introduce two time-marching schemes, first-order and second-order respectively, that are decoupled and unconditionally stable for solving the model. Finally, we discuss recent advance in the design of hybridizable discontinuous Galerkin method for solving phase field fluid models.

报告人简介：

Dr. Daozhi Han is an assistant professor in the Department of Mathematics and Statistics at Missouri University of Science and Technology. Before joining MS&T, Dr. Han holds a Zorn Postdoctoral Fellowship at Indiana University Bloomington from 2015 to 2017. He obtains his PhD in applied and computational mathematics from Florida State University in 2015. Dr. Han is a graduate of Class 2008 (Bachelor of Science) and Class 2010 (Master of Science) from Central South University. His research interests center around applied analysis including numerical analysis of partial differential equations from fluid mechanics and material science.