报告人:郭震林(北京计算科学研究中心)
邀请人:柴振华
报告时间:2021年8月18日(星期三)15:00-17:00
报告地点:腾讯会议ID:743 361 873 密码:0818
报告题目:Diffuse domain method and its applications
报告摘要:We propose a diffuse domain method (DDM) for solving PDEs in complex geometries. In particular, the original complex domain is extended to a larger and regular domain by introducing a phase variable, and the original boundary is extended to an interfacial region with finite thickness controlled by a small parameter epsilon. The original PDEs is then coupled with the phase variable, where the original BC. is absorbed as a source term as an approximation. As the interfacial thickness shrinks to zero, the numerical solution of DDM converges to the original solution asymptotically (epsilon goes to zero). We finally show several applications of DDM, including the two-phase flows in complex geometries, 2D material epitaxial growth and tumor angiogenesis.
报告人简介:郭震林,北京计算科学研究中心,力学部,副研究员/助理教授。2011-2014年博士毕业于英国邓迪大学。2014年毕业获得英国皇家科学院牛顿数学所成立150周年博士后基金。世界范围获奖者共15位,唯一的中国籍获奖者。之后于2015-2019年在加州大学尔湾分校做博士后。主要从事复杂界面问题,相场模型建模和数值计算等方面的工作。