报告人:段俊明(香港中文大学(深圳)理工学院)
报告时间:2026年4月15日(星期三)15:30-17:00
报告地点:科技楼南楼706室
报告摘要:The active flux (AF) method is a compact high-order finite volume method that simultaneously evolves cell averages and point values at cell interfaces. Within the method of lines framework, the existing Jacobian splitting-based point value update incorporates the upwind idea but suffers from a stagnation issue for nonlinear problems due to inaccurate estimation of the upwind direction, and also from a mesh alignment issue partially resulting from decoupled point value updates. I will talk about using flux vector splitting for the point value update, offering a natural and uniform remedy to the two issues. To improve robustness, I will also talk about bound-preserving (BP) AF methods for hyperbolic conservation laws, with applications to the compressible Euler equations and ideal magnetohydrodynamics. A shock sensor-based limiting will be discussed for suppressing oscillations.
报告人简介:段俊明,香港中文大学(深圳)理工学院助理教授、博士生导师。分别于 2016 和 2021 年获得北京大学学士和博士学位,师从汤华中教授。随后 2021-2023 年于瑞士洛桑联邦理工学院开展博士后研究,合作导师为 Jan S. Hesthaven 教授;2023-2025 年于德国维尔茨堡大学担任洪堡博士后,合作导师为 Christian Klingenberg 教授。以第一或通讯作者身份在 JCP、SISC、AIAAJ 等计算与交叉方向的权威期刊发表多篇论文。入选国家级青年人才项目(海外),曾获德国洪堡基金会博士后项目资助和北京计算数学学会优秀青年论文一等奖等荣誉。
邀请人:柴振华