Microscopic and macroscopic models for coupled car traffic and pedestrian flow

被引：16
作者：
Borsche, R. [1 ]
Meurer, A. [1 ]
机构：
[1] Tech Univ Kaiserslautern, Dept Math, Erwin Schrodinger Str, D-67663 Kaiserslautern, Germany
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 348卷
关键词：
Traffic flow; Pedestrian flow; Mean field; CROWD DYNAMICS; SHARED SPACE; FOLLOW; LIMIT; EQUATIONS; SYSTEMS; WAVES;
D O I：
10.1016/j.cam.2018.08.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the interaction of pedestrian flow and car traffic. A microscopic model for car traffic on road networks is coupled to microscopic pedestrian dynamics by introducing mutual interaction forces. Based on this description coupling conditions for corresponding macroscopic models as well as for mixed microscopic-macroscopic systems can be motivated. In several numerical examples we study the dynamics of the respective descriptions. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：356 / 382
页数：27
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