题目：Mass conservative temporal second order and spatial high order characteristic finite volume methods for atmospheric pollution advection diffusion problems

主讲人：付凯副教授

时间：2024年12月1日10:00-11:00

地点：文理大楼723

报告摘要：

In this talk, the temporal second order mass conservative methods for solving atmospheric pollution advection diffusion problems are presented. The technique of characteristics and high order conservative interpolation are combined to provide the high order accuracy both in time and space, continuity of the discrete fluxes, as well as the preservation of quantity. The second order temporal and spatial accuracy, as well as mass conservation property are demonstrated by comparing results with exact solutions. Comparisons with standard characteristic finite difference methods show the excellent performance of our method that it can get much more stable and accurate solutions with less computational resources. The predicted results of PM2.5 concentrations in the realistic simulation are consistent with observed data in three metropolitan municipalities and the capitals of seven provinces in China. The developed high order mass-conservative characteristic method can be used to solve the large scale atmospheric pollution problems in real-world applications.

个人简介：

付凯，中国海洋大学数学科学学院副教授。于2012年获得山东大学计算数学博士学位，2013年至2015年在加拿大约克大学担任博士后研究员。研究方向为偏微分方程数值解和环境数值模拟，在对流扩散问题计算方法和环境计算中取得了重要研究成果。在包括国际著名学术期刊《SIAM J Sci Comput》、《J Comput Phys》、《J Sci Comput》、《Atmos Environ》、《J Atmos Ocean Tech》和《Atmos Res》等期刊发表SCI论文20余篇。主持国家自然科学基金面上项目、青年基金项目和山东省自然科学基金面上项目等多个项目。