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发布时间 : 2024-12-20     点击量:

报告题目High order bound preserving discontinuous Galerkin methods for compressible multi-species flow with chemical reactions

时间2024-12-27(周五)上午10:00-11:30

地点:数学楼2-3会议室

摘要

       In this talk, we consider bound preserving problems for multispecies and multireaction chemical reactive flows. In this problem, the density and pressure are nonnegative, and the mass fraction should be between 0 and 1. The mass fraction does not satisfy a maximum principle and hence it is not easy to preserve the upper bound 1. Also, most of the bound-preserving techniques available are based on Euler forward time integration. Therefore, for problems with stiff source, the time step will be significantly limited. Some previous ODE solvers for stiff problems cannot preserve the total mass and the positivity of the numerical approximations at the same time. In this work, we will construct third order conservative bound-preserving methods to overcome all these difficulties. Moreover, we will discuss how to control numerical oscillations.

报告人简介:
    杜洁,华东师范制服做爱 青年研究员,博士生导师。2015年于中国科学技术制服做爱 获得理学博士学位。读博期间前往香港制服做爱 担任研究助理,并作为联合制服做爱博士研究生前往布朗制服做爱 学习。博士毕业后分别于香港中文制服做爱 、清华制服做爱 和华东师范制服做爱 进行博士后、助理教授和青年研究员的工作。主要从事偏微分方程高精度数值方法研究工作,于数值计算及其应用方向的主流杂志上已发表30余篇学术论文,其中包括应用数学类以及工程类著名杂志SIAM Journal on Scientific ComputingJournal of Computational PhysicsTransportation Research Part B等。

邀请人:梅立泉教授

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