Discussion about Traffic Junction Modelling: Conservation Laws Vs Hamilton-jacobi Equations

نویسندگان

  • Guillaume Costeseque
  • Jean-Patrick Lebacque
  • JEAN-PATRICK LEBACQUE
چکیده

Abstract. In this paper, we consider a numerical scheme to solve first order Hamilton-Jacobi (HJ) equations posed on a junction. The main mathematical properties of the scheme are first recalled and then we give a traffic flow interpretation of the key elements. The scheme formulation is also adapted to compute the vehicles densities on a junction. The equivalent scheme for densities recovers the well-known Godunov scheme outside the junction point. We give two numerical illustrations for a merge and a diverge which are the two main types of traffic junctions. Some extensions to the junction model are finally discussed.

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تاریخ انتشار 2013