From individual behaviour to an evaluation of the collective evolution of crowds along footbridges
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- 作者：Luca Bruno ; Alessandro Corbetta ; Andrea Tosin
- 关键词：Collective evolution ; Continuous crowd models ; Footbridges ; Individual behaviour
- 刊名：Journal of Engineering Mathematics
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：101
- 期：1
- 页码：153-173
- 全文大小：1,557 KB
- 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Mechanics
Applications of Mathematics
Analysis
Mathematical Modeling and IndustrialMathematics
Numeric Computing - 出版者：Springer Netherlands
- ISSN：1573-2703
- 卷排序：101
文摘
This paper proposes a crowd dynamic macroscopic model grounded on microscopic phenomenological observations which are upscaled by means of a formal mathematical procedure. The actual applicability of the model to real-world problems is tested by considering the pedestrian traffic along footbridges, of interest for Structural and Transportation Engineering. The genuinely macroscopic quantitative description of the crowd flow directly matches the engineering need of bulk results. However, three issues beyond the sole modelling are of primary importance: the pedestrian inflow conditions, the numerical approximation of the equations for non trivial footbridge geometries and the calibration of the free parameters of the model on the basis of in situ measurements currently available. These issues are discussed, and a solution strategy is proposed.