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Non-local first-order modelling of crowd dynamics: A multidimensional framework with applications

机译:人群动力学的非本地一阶建模:具有应用程序的多维框架

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摘要

In this work a physical modelling framework is presented, describing the intelligent, non-local, and anisotropic behaviour of pedestrians. Its phenomenological basics and constitutive elements are detailed, and a qualitative analysis is provided. Within this common framework, two first-order mathematical models, along with related numerical solution techniques, are derived. The models are oriented to specific real world applications: a one-dimensional model of crowd-structure interaction in footbridges and a two-dimensional model of pedestrian flow in an underground station with several obstacles and exits. The noticeable heterogeneity of the applications demonstrates the significance of the physical framework and its versatility in addressing different engineering problems. The results of the simulations point out the key role played by the physiological and psychological features of human perception on the overall crowd dynamics.
机译:在这项工作中,提出了一个物理建模框架,描述了行人的智能,非局部和各向异性行为。详细介绍了其现象学基础和构成要素,并进行了定性分析。在此通用框架内,得出了两个一阶数学模型以及相关的数值求解技术。这些模型针对特定的实际应用:一维人行桥中的人群-结构相互作用模型和一维具有多个障碍物和出口的地下车站的人流二维模型。应用程序的显着异构性证明了物理框架的重要性及其在解决不同工程问题方面的多功能性。模拟结果指出了人类感知的生理和心理特征在总体人群动态中所起的关键作用。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2011年第1期|p.426-445|共20页
  • 作者单位

    Politecnico di Torino, Department of Structural and Ceotechnical Engineering, Viale Mattioli 39,1-10125 Torino, Italy;

    Politecnico di Torino, Department of Mathematics, Corso Duca degli Abruzzi 24,1-10129 Torino, Italy;

    Ecole Polytechnique Federate de Lausanne, Mathematics Institute of Computational Science and Engineering, Station 8, CH-W15 Lausanne, Switzerland;

    Politecnico di Torino, Department of Structural and Ceotechnical Engineering, Viale Mattioli 39,1-10125 Torino, Italy;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    crowd dynamics; non-local interactions; anisotropy; crowd-structure interaction; built environments;

    机译:人群动力学;非局部相互作用;各向异性;人群结构相互作用;建成环境;

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