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Two-dimensional macroscopic model of traffic flows

A. B. SukhinovaInstitute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, RussiaM. A. TrapeznikovaInstitute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, RussiaБ. Н. ЧетверушкинInstitute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, RussiaN. G. ChurbanovaInstitute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
2009en
ABI

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The problem of simulating city and highway traffic flows is considered. Existing simulation techniques are reviewed in brief. A two-dimensional model of a synchronized traffic flow based on continuum approach and similar to kinetically consistent difference schemes is developed. Test problems are used to check the model.

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