报告人：王艳莉教授

报告题目：Numerical solver for the Boltzmann equation with self-adaptive collision operators

报告摘要：

(1) We use the Burnett spectral method to solve the Boltzmann equation whose collision term is modeled by separate treatments for the low-frequency part and high-frequency part of the solution. For the low-frequency part representing the sketch of the distribution function, the binary collision is applied, while for the high-frequency part representing the finer details, the BGK approximation is applied.  

(2) The parameter controlling the ratio of the high-frequency part and the low-frequency part is selected adaptively on every grid cell at every time step. This self-adaptation is based on an error indicator describing the difference between the model collision term and the original binary collision term. The indicator is derived by controlling the quadratic terms in the modeling error with linear operators. Our numerical experiments show that such an error indicator is effective and computationally affordable.

报告时间：2022.12.25   下午16:00-19:00

报告形式：腾讯会议；  会议号：277-384-391 

获取会议密码请发邮件至：yangchang@hit.edu.cn

报告人简介：Dr. Yanli Wang received her PhD degree in computational mathematics from Peking University in 2014. She was an assistant professor in Applied Physics and Computational Mathematics, Beijing from 2014 to 2017. In 2019, she joined Beijing Computational Science Research Center as a research assistant professor and become an assistant professor in 2022. Her current research focus on the model reduction and numerical method in kinetic theory.