Simulations of Computer, Telecommunications, Control and Social Systems

The method and technology for integrating discrete and continuous models of regional traffic flows

V. V. Glazunov^a, M. V. Chuvatov^a, A. S. Chernyshev^b, L. M. Kurochkin<sup>a

a</sup> Peter the Great St. Petersburg Polytechnic University
^b Ioffe Institute, St. Petersburg

Abstract: The paper considers the methods of constructing continual macromodels and discrete micromodels, their limitations are described. Based on the discrete model, scenarios of vehicle movement in the regions are implemented. The continual MFlow macromodel of its own design is considered, the basis for which are the Navier-Stokes equations, which allows the use of existing developments in the numerical solution of conservation equations and the study of bubble flows. The method for integrating a discrete and continuum model is developed. The configuration parameters and modeling technology in the discrete SUMO simulator are presented. The parameters of the MFlow solver and the algorithm for solving equations in the continual model are described. Experiments were conducted on the convergence of the results obtained in macro and micromodels for scenarios of movement along straight sections of roads and T-shaped intersections at different traffic intensities.

Keywords: continual model, macromodel, micromodel, SUMO, TraCI, discrete simulator, continuous-medium model, modeling, traffic flows, intelligent transport systems.

UDC: 004.94

Received: 27.09.2019

DOI: 10.18721/JCSTCS.12409