【摘 要】
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In this presentation, we describe a high-order weighted essentially non-oscillatory (WENO) sc heme, coupled with a high-order fast sweeping method, for solv
【机 构】
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DepartmentofCivilEngineering,TheUniversityofHongKong
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In this presentation, we describe a high-order weighted essentially non-oscillatory (WENO) sc heme, coupled with a high-order fast sweeping method, for solving a dynamic continuum mo del for bi-directional pedestrian flows.We first review the dynamic continuum model for bi-di rectional pedestrian flows.This model is composed of a coupled system of a conservation law and an Eikonal equation.Then we present the first-order LaxFriedrichs difference scheme wit h 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 me thod, 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 conclu de that the high-order method is more efficient than the first-order one, and they both converg e to the same solution of the physical model.
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