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

Jian-zhong CHEN; Zhong-ke SHI; Yan-mei HU

doi:10.1631/jzus.C10a0406

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

Computer Engineering | Updated：2022-12-09

- Numerical solutions of a multi-class traffic flow model on an inhomogeneous highway using a high-resolution relaxed scheme
- Numerical solutions of a multi-class traffic flow model on an inhomogeneous highway using a high-resolution relaxed scheme
- Frontiers of Information Technology & Electronic Engineering Vol. 13, Issue 1, Pages: 29-36(2012)
- Affiliations：
  
  1.College of Automation, Northwestern Polytechnical University, Xi'an 710072, China
  2.College of Science, Chang'an University, Xi'an 710064, China
- Author bio：
  
  [ "Jian-zhong CHEN, E-mail: jzhchen@nwpu.edu.cn" ]
- Funds：
- DOI：10.1631/jzus.C10a0406
  CLC： TP39;U49
- Received：16 September 2010，
  
  Revised：2011-12-;5，
  
  Published：2012-01
- Accepted：
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Jian-zhong CHEN, Zhong-ke SHI, Yan-mei HU. Numerical solutions of a multi-class traffic flow model on an inhomogeneous highway using a high-resolution relaxed scheme[J]. Frontiers of Information Technology & Electronic Engineering, 2012, 13(1): 29-36.
DOI：

Jian-zhong CHEN, Zhong-ke SHI, Yan-mei HU. Numerical solutions of a multi-class traffic flow model on an inhomogeneous highway using a high-resolution relaxed scheme[J]. Frontiers of Information Technology & Electronic Engineering, 2012, 13(1): 29-36. DOI： 10.1631/jzus.C10a0406.

摘要

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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references

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