A REACTIVE DYNAMIC CONTINUUM USER EQUILIBRIUM MODEL FOR BI-DIRECTIONAL PEDESTRIAN FLOWS

作     者：Yanqun Jiang Tao Xiong S.C. Wong Chi-Wang Shu Mengping Zhang Peng Zhang William H.K. Lam 

作者机构：Department of Mathematics University of Science and Technology of China Hefei 230026 China Department of Civil Engineering The University of Hong Kong Hong Kong China Division of Applied Mathematics Brown University Providence RI 02912 U.S.A. Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China Department of Civil and Structural Engineering The Hong Kong Polytechnic University Hong Kong China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2009年第29卷第6期

页      面：1541-1555页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0823[工学-交通运输工程] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (HKU 7183/06E) the University of Hong Kong (10207394) the National Natural Science Foundation of China (70629001 and 10771134) 

主　　题：pedestrian flows conservation law Eikonal-type equation density-velocity relationship finite volume method fast marching method unstructured grids 

摘      要：In this paper, a reactive dynamic user equilibrium model is extended to simulate two groups of pedestrians traveling on crossing paths in a continuous walking facility. Each group makes path choices to minimize the travel cost to its destination in a reactive manner based on instantaneous information. The model consists of a conservation law equation coupled with an Eikonal-type equation for each group. The velocity-density relationship of pedestrian movement is obtained via an experimental method. The model is solved using a finite volume method for the conservation law equation and a fast-marching method for the Eikonal-type equation on unstructured grids. The numerical results verify the rationality of the model and the validity of the numerical method. Based on this continuum model, a number of results, e.g., the formation of strips or moving clusters composed of pedestrians walking to the same destination, are also observed.