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Numerical solutions of a multi-class traffic flow model on an inhomogeneous highway using a high-resolution relaxed scheme

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Abstract

A high-resolution relaxed scheme which requires little information of the eigenstructure is presented for the multiclass Lighthill-Whitham-Richards (LWR) model on an inhomogeneous highway. The scheme needs only an estimate of the upper boundary of the maximum of absolute eigenvalues. It is based on incorporating an improved fifth-order weighted essentially non-oscillatory (WENO) reconstruction with relaxation approximation. The scheme benefits from the simplicity of relaxed schemes in that it requires no exact or approximate Riemann solvers and no projection along characteristic directions. The effectiveness of our method is demonstrated in several numerical examples.

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Authors and Affiliations

  1. College of Automation, Northwestern Polytechnical University, Xi’an, 710072, China

    Jian-zhong Chen & Zhong-ke Shi

  2. College of Science, Chang’an University, Xi’an, 710064, China

    Yan-mei Hu

Authors
  1. Jian-zhong Chen
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  2. Zhong-ke Shi
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  3. Yan-mei Hu
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Correspondence to Jian-zhong Chen.

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Project supported by the National Natural Science Foundation of China (No. 11102165) and the Special Fund for Basic Scientific Research of Central Colleges, Chang’an University, China (No. CHD 2011JC039)

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Chen, Jz., Shi, Zk. & Hu, Ym. Numerical solutions of a multi-class traffic flow model on an inhomogeneous highway using a high-resolution relaxed scheme. J. Zhejiang Univ. - Sci. C 13, 29–36 (2012). https://doi.org/10.1631/jzus.C10a0406

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  • DOI: https://doi.org/10.1631/jzus.C10a0406

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