CLC number: O35; O24; U49
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2009-10-18
Cited: 7
Clicked: 5826
Jian-zhong CHEN, Zhong-ke SHI, Yan-mei HU. A relaxation scheme for a multi-class Lighthill-Whitham-Richards traffic flow model[J]. Journal of Zhejiang University Science A, 2009, 10(12): 1835-1844.
@article{title="A relaxation scheme for a multi-class Lighthill-Whitham-Richards traffic flow model",
author="Jian-zhong CHEN, Zhong-ke SHI, Yan-mei HU",
journal="Journal of Zhejiang University Science A",
volume="10",
number="12",
pages="1835-1844",
year="2009",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0820829"
}
%0 Journal Article
%T A relaxation scheme for a multi-class Lighthill-Whitham-Richards traffic flow model
%A Jian-zhong CHEN
%A Zhong-ke SHI
%A Yan-mei HU
%J Journal of Zhejiang University SCIENCE A
%V 10
%N 12
%P 1835-1844
%@ 1673-565X
%D 2009
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820829
TY - JOUR
T1 - A relaxation scheme for a multi-class Lighthill-Whitham-Richards traffic flow model
A1 - Jian-zhong CHEN
A1 - Zhong-ke SHI
A1 - Yan-mei HU
J0 - Journal of Zhejiang University Science A
VL - 10
IS - 12
SP - 1835
EP - 1844
%@ 1673-565X
Y1 - 2009
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820829
Abstract: We present a high-resolution relaxation scheme for a multi-class Lighthill-Whitham-Richards (MCLWR) traffic flow model. This scheme is based on high-order reconstruction for spatial discretization and an implicit-explicit Runge-Kutta method for time integration. The resulting method retains the simplicity of the relaxation schemes. There is no need to involve Riemann solvers and characteristic decomposition. Even the computation of the eigenvalues is not required. This makes the scheme particularly well suited for the MCLWR model in which the analytical expressions of the eigenvalues are difficult to obtain for more than four classes of road users. The numerical results illustrate the effectiveness of the presented method.
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