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

S. Rosswog and P. Wagner
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S. Rosswog: MS, German Aerospace Center (DLR)
P. Wagner: MS, German Aerospace Center (DLR)

A chapter in Traffic and Granular Flow ’99, 2000, pp 401-406 from Springer

Abstract: 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.

Keywords: Traffic Flow; Smooth Particle Hydrodynamic; Macroscopic Model; Granular Flow; Vehicle Density (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59751-0_41

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DOI: 10.1007/978-3-642-59751-0_41

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