Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flow

Zejing, H.; Smirnova, M.N.; Smirnov, N.N.; Zhang, Y.; Zhu, Z.

Авторы: Zejing Hu, Smirnova M.N., Smirnov N.N., Zhang Yongliang, Zhu Zuojin
Журнал: ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
Том: 15
Номер: 5
Год издания: 2023
Первая страница: 1315
Последняя страница: 1334
DOI: 10.4208/aamm.OA-2021-0316
Аннотация: The study of impacts of down-up hill road segment on the density threshold oftraffic shock formation in ring road vehicular flow is helpful to the deep understanding of sags’bottleneck effect. Sags are freeway segments along which the gradient increases gradually in thetraffic direction. The main aim of this paper is to seek the density threshold of shock formationof vehicular flow in ring road with down-up hill segment, because down-up hill roadway segmentis a source to cause capacity reduction that is an attractive topic in vehicular traffic science.To seek the density threshold numerically, a viscoelastic continuum model is extended andused. To solve the model equations, a fifth-order weighted essentially non-oscillatory scheme forspatial discretization, and a 3rd order Runge-Kutta scheme for time partial derivative term areused. Validation by existing observation data and the Navier-Stokes like model extended asEZM is done before conducting extensive numerical simulations. For ring road vehicular flowwith three separated down-up hill segments, it is found that the density threshold of shockformation decreases monotonically with the relative difference of free flow speed, this variationcan be simply fitted by a third order polynomial.
Добавил в систему: Смирнов Николай Николаевич

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Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flowстатья Исследовательская статья

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