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“Car-SPH”: A Lagrangian Particle Scheme for the Solution of the Macroscopic Traffic Flow Equations

In: Traffic and Granular Flow ’99

Author

Listed:
  • S. Rosswog

    (MS, German Aerospace Center (DLR))

  • P. Wagner

    (MS, German Aerospace Center (DLR))

Abstract

A Lagrangian particle scheme for the solution of the macroscopic traffic flow equations is presented. The scheme transforms the partial Navier-Stokes-like differential equations into a set of ordinary differential equations that axe given as sums over particle contributions. The continuity equation is fulfilled automatically by construction. The method is applied to the ’standard scenario’ of a road loop where the traffic flow is governed by the macroscopic equations of Kerner and Konhäuser.

Suggested Citation

  • S. Rosswog & P. Wagner, 2000. "“Car-SPH”: A Lagrangian Particle Scheme for the Solution of the Macroscopic Traffic Flow Equations," Springer Books, in: Dirk Helbing & Hans J. Herrmann & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’99, pages 401-406, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59751-0_41
    DOI: 10.1007/978-3-642-59751-0_41
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