A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
High‐Order Computational Scheme for a Dynamic Continuum Model for Bi‐Directional Pedestrian Flows
Abstract: In this article, we present a high‐order weighted essentially non‐oscillatory (WENO) scheme, coupled with a high‐order fast sweeping method, for solving a dynamic continuum model for bi‐directional pedestrian flows. We first review the dynamic continuum model for bi‐directional pedestrian flows. This model is composed of a coupled system of a conservation law and an Eikonal equation. Then we present the first‐order Lax–Friedrichs difference scheme with first‐order Euler forward time discretization, the third‐order WENO scheme with third‐order total variation diminishing (TVD) Runge–Kutta time discretization, and the fast sweeping method, and demonstrate how to apply them to the model under study. We present a comparison of the numerical results of the model from the first‐order and high‐order methods, and conclude that the high‐order method is more efficient than the first‐order one, and they both converge to the same solution of the physical model.
High‐Order Computational Scheme for a Dynamic Continuum Model for Bi‐Directional Pedestrian Flows
Abstract: In this article, we present a high‐order weighted essentially non‐oscillatory (WENO) scheme, coupled with a high‐order fast sweeping method, for solving a dynamic continuum model for bi‐directional pedestrian flows. We first review the dynamic continuum model for bi‐directional pedestrian flows. This model is composed of a coupled system of a conservation law and an Eikonal equation. Then we present the first‐order Lax–Friedrichs difference scheme with first‐order Euler forward time discretization, the third‐order WENO scheme with third‐order total variation diminishing (TVD) Runge–Kutta time discretization, and the fast sweeping method, and demonstrate how to apply them to the model under study. We present a comparison of the numerical results of the model from the first‐order and high‐order methods, and conclude that the high‐order method is more efficient than the first‐order one, and they both converge to the same solution of the physical model.
High‐Order Computational Scheme for a Dynamic Continuum Model for Bi‐Directional Pedestrian Flows
Xiong, Tao (author) / Zhang, Mengping (author) / Shu, Chi‐Wang (author) / Wong, S.C. (author) / Zhang, Peng (author)
Computer‐Aided Civil and Infrastructure Engineering ; 26 ; 298-310
2011-05-01
13 pages
Article (Journal)
Electronic Resource
English
High‐Order Computational Scheme for a Dynamic Continuum Model for Bi‐Directional Pedestrian Flows
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