AUTHORS: D. A. Pestov, M. N. Smirnova, V. F. Nikitin, V. V. Tyurenkova, Zuojin Zhu

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ABSTRACT: The present research was aimed at mathematical modeling of essentially unsteady-state traffic flows on multilane roads, wherein massive changing of lanes produces an effect on handling capacity of the road segment. The model takes into account drivers’ motivations for lane changing before the crossing caused by the necessity of the maneuver on entering multilane road crossing. The model is based on continua approach. However, it has no analogue in the classical hydrodynamics because momentum equations in the direction of a flow and in orthogonal directions of lanechanging are different. To provide stability and accuracy of the numerical solution we use the computation method common to gas dynamics. Numerical simulations of traffic flows in multilane roads were performed and their results are presented.

KEYWORDS: continuum, traffic, flow, model, two-dimensional, anisotropy, multi-class, multilane road, AUSM scheme

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