主讲：李治林江苏省特聘教授 North Carolina State University, USA

时间：2017年6月15日15:30-17:00

地点：理北301室

报告摘要：

Free boundary/moving interface problems are challenging both theoretically and numerically. In this general talk, I will introduce some application examples and corresponding differential equations models. The applications include Stefan problems of unstable crystal growth, drop spreading, and multi-phase flows. Then I will give a brief review of numerical methods for solving those challenging problems, particularly Cartesian grid methods such asPeskin'sImmersed Boundary (IB) method, the Immersed Interface Method (IIM), AugmentedIIM, and Immersed finite element method (IFEM) developed by myself.

Another major component in solving free boundary/moving interface problems is how to evolve the interface. In our approach, both the front tracking and the level set methods are used. The level set method is simple and robust and can handle topological changes for any dimensions. I am going to discuss some issues about how to combine the level set method withIIMto achieve high order accuracy.