Seminars on Numerical Algorithms, Analyses, and Applications:High order bound preserving methods for compressible multi-species flow with chemical reactions

：杜洁（清华大学）
：2022-10-13 10:00
：腾讯会议ID：681-805-206（无密码）

报告人：杜洁（清华大学）

时  间：10月13日上午10:00

地  点：腾讯会议ID：681-805-206（无密码）

内容摘要:

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 Rugne-Kutta and multistep methods to overcome all these difficulties. Moreover, we will discuss how to control numerical oscillations. Numerical experiments will be given to demonstrate the good performance of the bound-preserving technique and the stability of the scheme for problems with stiff source terms.

个人简介：

杜洁，清华大学丘成桐数学科学中心助理教授，博士生导师。多年来从事偏微分方程高精度数值算法及计算流体力学的研究，并在应用层面研究交通流问题的建模和数值模拟。于数值计算及其应用方向的主流杂志上已发表了20余篇学术论文，其中包括应用数学类著名杂志SIAM Journal on Scientific Computing和Journal of Computational Physics以及工程类顶级期刊Transportation Research Part B等。

 

联系人：熊涛