In this talk, we develop high-order bound-preserving discontinuous Galerkin (DG) methods for multispecies and multireaction chemical reactive flows. In this problem, density and pressure are nonnegative, and the mass fraction for the each species, should be between 0 and 1. The high-order time integration in our work does not depend on the Strang splitting; i.e., we do not split the flux and the stiff source terms. Moreover, the time discretization is explicit and can handle the stiff source with large time step. Most importantly, in addition to the positivity-preserving property, the algorithm can preserve the upper bound 1 for each species. 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.

杜洁，2015年于中国科学技术大学数学科学学院获得博士学位。博士期间曾多次前往香港大学从事研究助理工作，并于2014年赴美国布朗大学进行联合培养。之后在香港中文大学数学系从事两年的博士后工作。现为清华大学丘成桐数学科学中心助理教授。研究方向为偏微分方程数值方法及其在交通流等领域的应用。