Riemann Problem Resolution and Godunov Scheme for the Aw-Rascle-Zhang Model

A new second-order macroscopic model recently was introduced by Aw, Rascle, and Zhang, following Daganzo's theoretical investigations on Payne-Whitham second-order modeling. In this model, the conserved variables are relative flow and density. This paper's aim is solving the Riemann problem for the Aw-Rascle-Zhang (ARZ) model for all possible initial conditions, using an extended fundamental diagram. Riemann problem resolution provides the model user with a set of nontrivial analytical solutions. It is also a prerequisite for numerical solution scheme construction. The authors provide some examples of Riemann problem analytical solutions, which are discussed and compared to numerical solutions. Using the same set of physical parameters, a better fit to real data is shown by the ARZ model than the embedded Lighthill-Whitham-Richards model.

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  • Authors:
    • Mammar, Salim
    • Lebacque, Jean-Patrick
    • Haj Salem, Habib
  • Publication Date: 2009-11


  • English

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  • Accession Number: 01149177
  • Record Type: Publication
  • Files: TRIS, ATRI
  • Created Date: Jan 23 2010 6:02PM