Discontinuous Galerkin finite element scheme for a conserved higher-order traffic flow model by exploring Riemann solvers

The discontinuous Galerkin (DG) scheme is used to solve a conserved higher-order (CHO) traffic flow model by exploring several Riemann solvers. The second-order accurate DG scheme is found to be adequate in that the accuracy is comparable to the weighted essentially non-oscillatory (WENO) scheme wit...

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Bibliographic Details
Published in:Applied mathematics and computation 2014-10, Vol.244, p.567-576
Main Authors: Qiao, Dian-liang, Zhang, Peng, Wong, S.C., Choi, Keechoo
Format: Article
Language:English
Subjects:
DG scheme
Monotone numerical fluxes
Shock
WENO scheme
Wide moving jam
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Summary:The discontinuous Galerkin (DG) scheme is used to solve a conserved higher-order (CHO) traffic flow model by exploring several Riemann solvers. The second-order accurate DG scheme is found to be adequate in that the accuracy is comparable to the weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy and much better than the scheme with first-order accuracy in resolving a wide moving jam with a shock profile. Moreover, it considerably reduces the differences between the proposed solvers in generating numerical viscosities or errors. Thus, this scheme can maintain high efficiency when a simple solver is adopted. The scheme could be extended to solve more complex problems, such as those related to traffic flow in a network.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.07.002