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

نویسندگان

  • Dian-Liang Qiao
  • Peng Zhang
  • Sze Chun Wong
  • Keechoo Choi
چکیده

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. 2014 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 244  شماره 

صفحات  -

تاریخ انتشار 2014