Numerical study of traffic flows by the hydrodynamic models

The purpose of this paper is to generalize the macroscopic hydrodynamic vehicular traffic models by using the algorithm for constructing the adequate state equation - dependence the pressure from traffic density by taking into account the real experimental data (possibly using the parametric solutio...

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Main Authors: Ivan Igorevich Morozov, Alexander Vladimirovich Gasnikov, Vladimir Nikolaevich Tarasov, Yaroslav Alexandrovich Kholodov, Alexander Sergeevich Kholodov
Format: Article
Language:Russian
Published: Institute of Computer Science 2011-12-01
Series:Компьютерные исследования и моделирование
Subjects:
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2011_04/06_389-412.pdf
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author Ivan Igorevich Morozov
Alexander Vladimirovich Gasnikov
Vladimir Nikolaevich Tarasov
Yaroslav Alexandrovich Kholodov
Alexander Sergeevich Kholodov
author_facet Ivan Igorevich Morozov
Alexander Vladimirovich Gasnikov
Vladimir Nikolaevich Tarasov
Yaroslav Alexandrovich Kholodov
Alexander Sergeevich Kholodov
author_sort Ivan Igorevich Morozov
collection DOAJ
description The purpose of this paper is to generalize the macroscopic hydrodynamic vehicular traffic models by using the algorithm for constructing the adequate state equation - dependence the pressure from traffic density by taking into account the real experimental data (possibly using the parametric solutions for model equations). It is proved that this kind of state equation which closed model equations system and obtained from the experimentally observed form of the fundamental diagram - dependence the traffic intensity from its density, completely determines the all properties of the used phenomenological model.
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spelling doaj.art-fff1fb72f36e4ed7a5490f4f55623f312022-12-22T02:02:27ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532011-12-013438941210.20537/2076-7633-2011-3-4-389-4121828Numerical study of traffic flows by the hydrodynamic modelsIvan Igorevich MorozovAlexander Vladimirovich GasnikovVladimir Nikolaevich TarasovYaroslav Alexandrovich KholodovAlexander Sergeevich KholodovThe purpose of this paper is to generalize the macroscopic hydrodynamic vehicular traffic models by using the algorithm for constructing the adequate state equation - dependence the pressure from traffic density by taking into account the real experimental data (possibly using the parametric solutions for model equations). It is proved that this kind of state equation which closed model equations system and obtained from the experimentally observed form of the fundamental diagram - dependence the traffic intensity from its density, completely determines the all properties of the used phenomenological model.http://crm.ics.org.ru/uploads/crmissues/crm_2011_04/06_389-412.pdfvehicular trafficthe state equationhyperbolic equation systemstraffic flowsphenomenological models
spellingShingle Ivan Igorevich Morozov
Alexander Vladimirovich Gasnikov
Vladimir Nikolaevich Tarasov
Yaroslav Alexandrovich Kholodov
Alexander Sergeevich Kholodov
Numerical study of traffic flows by the hydrodynamic models
Компьютерные исследования и моделирование
vehicular traffic
the state equation
hyperbolic equation systems
traffic flows
phenomenological models
title Numerical study of traffic flows by the hydrodynamic models
title_full Numerical study of traffic flows by the hydrodynamic models
title_fullStr Numerical study of traffic flows by the hydrodynamic models
title_full_unstemmed Numerical study of traffic flows by the hydrodynamic models
title_short Numerical study of traffic flows by the hydrodynamic models
title_sort numerical study of traffic flows by the hydrodynamic models
topic vehicular traffic
the state equation
hyperbolic equation systems
traffic flows
phenomenological models
url http://crm.ics.org.ru/uploads/crmissues/crm_2011_04/06_389-412.pdf
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