当前位置: 首页 > 学术报告
青年学术论坛 - 计算数学分论坛
From microscopic social force model to macroscopic continuum models for pedestrian flow
杨良泽 讲师(安徽大学)
2024-10-29 15:00 - 16:00  闵行校区数学楼129

主持人:杜洁 青年研究员

报告简介:
The pedestrian flow is one of the most complex systems with large populations of interacting agents. The models in the microscopic and macroscopic scales have different advantages when studying the related problems. In general, the microscopic models can describe the interaction force at the individual level. But the macroscopic models can provide more analytical results on the global interaction and the overall dynamics in a long time, along with efficient numerical simulations and predictions. In this study, based on the original social force model with an optimal route choice, we derive the kinetic equations at the mesoscopic level. Varying the interaction force in different scenarios, we derive several continuum models at the macroscopic level. Finally, numerical examples are given to evaluate the behaviors of the social force model and our continuum models

主讲人简介:
杨良泽,安徽大学讲师。2021年博士毕业于中国科学技术大学计算数学专业;2022年1月-2024年1月在清华大学丘成桐数学科学中心,北京雁栖湖应用数学研究院从事博士后研究工作;2024年2月至今在安徽大学工作。主要研究偏微分方程数值解及其在交通流上的应用。主持国家自然科学基金青年项目。在《Transportation Research Part B》、《Transportation Science》等期刊发表多篇文章。