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Front. Inform. Technol. Electron. Eng.  2012, Vol. 13 Issue (1): 29-36    DOI: 10.1631/jzus.C10a0406
    
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
College of Automation, Northwestern Polytechnical University, Xi'an 710072, China, College of Science, Chang'an University, Xi'an 710064, China
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Abstract  A high-resolution relaxed scheme which requires little information of the eigenstructure is presented for the multi-class 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.

Key words： Relaxed scheme      Multi-class model      Weighted essentially non-oscillatory (WENO) reconstruction     
Received: 16 September 2010      Published: 29 December 2011
CLC:  TP39  
  U49  
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Jian-zhong Chen
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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. Front. Inform. Technol. Electron. Eng., 2012, 13(1): 29-36.

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http://www.zjujournals.com/xueshu/fitee/10.1631/jzus.C10a0406     OR     http://www.zjujournals.com/xueshu/fitee/Y2012/V13/I1/29


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

A high-resolution relaxed scheme which requires little information of the eigenstructure is presented for the multi-class 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.

关键词： Relaxed scheme,  Multi-class model,  Weighted essentially non-oscillatory (WENO) reconstruction 
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