主 题: CAM Seminars——Modeling, Analysis, & Augmented Strategy for Free Boundary/Moving Interface Problems
报告人: Zhilin Li (CRSC & Mathematics, North Carolina State University, Raleigh, NC 27695, USA)
时 间: 2018-06-02 15:00-16:00
地 点: Room 1479, Sciences Building No. 1
Abstract：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 as Peskin's Immersed Boundary (IB) method, the Immersed Interface Method (IIM), the Immersed Finite Element Method (IFEM), and recent research on augmented approach.
There are several motivations or advantages using the augmented approach. It can be applied to decouple problems, to have accurate discretizations for complicated problems; and utilize fast solvers. We will present some new applications of the augmented approach including multi-scale interface problems and new ADI (alternating directional implicit) methods.