Identifier: 2009-26
Author(s): T. Xiong, M. Zhang, C.-W. Shu, S.C. Wong, and P. Zhang
Title: High order computational scheme for a dynamic continuum model for bi-directional flow
Page count: 23 pp.
Date: 2009-08-24
Abstract:
In this paper, 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 flow. We first review the dynamic continuum model for bi-directional flow. 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, the high order WENO scheme, 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 methods are more efficient than the first order one, and they both converge to the same solution of the physical model.
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