人群动力学的非局部一阶模型：多维框架及其应用
Non-local first-order modelling of crowd dynamics: a multidimensional framework with applications
摘要：
在这项工作中，提出了一个物理建模框架，描述了智能的，非本地的，各向异性的行人行为。它的现象学基础和构成要素进行了详细说明，并提供了定性分析。在这个共同的框架内，两个一阶数学模型，以及相关的数值求解技术，推导。该模型是面向特定的现实世界的应用：人群结构相互作用的人行天桥和二维模型的行人流量在地下车站有几个障碍物和出口的一维模型。应用程序的显着的异质性表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。仿真结果指出了人类感知的生理和心理特征对整体人群动态所起的关键作用。
英文摘要：
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.
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