CLC number: TP39; U49
On-line Access: 2011-12-29
Received: 2010-09-16
Revision Accepted: 2011-02-16
Crosschecked: 2011-12-05
Cited: 4
Clicked: 7827
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]. Journal of Zhejiang University Science C, 2012, 13(1): 29-36.
@article{title="Numerical solutions of a multi-class traffic flow model on an inhomogeneous highway using a high-resolution relaxed scheme",
author="Jian-zhong Chen, Zhong-ke Shi, Yan-mei Hu",
journal="Journal of Zhejiang University Science C",
volume="13",
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pages="29-36",
year="2012",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.C10a0406"
}
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%A Yan-mei Hu
%J Journal of Zhejiang University SCIENCE C
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T1 - Numerical solutions of a multi-class traffic flow model on an inhomogeneous highway using a high-resolution relaxed scheme
A1 - Jian-zhong Chen
A1 - Zhong-ke Shi
A1 - Yan-mei Hu
J0 - Journal of Zhejiang University Science C
VL - 13
IS - 1
SP - 29
EP - 36
%@ 1869-1951
Y1 - 2012
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.C10a0406
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.
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