哈尔滨工业大学（深圳）学术讲座

演讲人Speaker： 成娟  

题目Title: High order entropy stable and positivity-preserving discontinuous Galerkin method for the nonlocal electron heat transport model

时间Date：   2023年 12月 10 日    Time：10:00 -11:00

地点Venue：   H栋 302室

内容摘要Abstract： 

The nonlocal electron heat transport model in laser heated plasmas plays a crucial role in inertial confinement fusion, and it is important to solve it numerically in an accurate and robust way. In this talk, we develop a class of high-order entropy stable discontinuous Galerkin (DG) methods for the nonlocal electron heat transport model. We further design our DG scheme to have the positivity-preserving property, which is shown, by a computer-aided proof, to have no extra time step constraint than that required by L2 stability. Numerical examples are given to verify the high-order accuracy and positivity-preserving properties of our scheme. By comparing the local and nonlocal electron heat transport models, we also observe more physical phenomena such as the flux reduction and the preheat effect from the nonlocal model.

个人简介(About the speaker):

成娟，北京应用物理与计算数学研究所研究员，博士生导师，北京大学应用物理与技术研究中心兼职教授。主要从事可压缩流体力学、辐射输运、多物理耦合模型高精度健壮高效数值方法研究。现担任“Journal of Computational Physics”、“Communications on Applied Mathematics and Computation”等期刊编委、北京计算数学学会副理事长、CSIAM竞赛工作委员会副主任、中国数学会计算数学专业委员会理事等职务。主持国家自然科学基金重点项目。曾获航空航天工业部科技进步奖二等奖与中国工程物理院科技创新奖二等奖。应邀在“第十七届CSIAM年会”等国内外学术会议上作大会报告。