Print Email Facebook Twitter A kinematic wave model in Lagrangian coordinates incorporating capacity drop Title A kinematic wave model in Lagrangian coordinates incorporating capacity drop: Application to homogeneous road stretches and discontinuities Author Yuan, K. (TU Delft Transport and Planning) Knoop, V.L. (TU Delft Transport and Planning) Hoogendoorn, S.P. (TU Delft Transport and Planning) Date 2017-01-01 Abstract On freeways, congestion always leads to capacity drop. This means the queue discharge rate is lower than the pre-queue capacity. Our recent research findings indicate that the queue discharge rate increases with the speed in congestion, that is the capacity drop is strongly correlated with the congestion state. Incorporating this varying capacity drop into a kinematic wave model is essential for assessing consequences of control strategies. However, to the best of authors’ knowledge, no such a model exists. This paper fills the research gap by presenting a Lagrangian kinematic wave model. “Lagrangian” denotes that the new model is solved in Lagrangian coordinates. The new model can give capacity drops accompanying both of stop-and-go waves (on homogeneous freeway section) and standing queues (at nodes) in a network. The new model can be applied in a network operation. In this Lagrangian kinematic wave model, the queue discharge rate (or the capacity drop) is a function of vehicular speed in traffic jams. Four case studies on links as well as at lane-drop and on-ramp nodes show that the Lagrangian kinematic wave model can give capacity drops well, consistent with empirical observations. Subject Capacity dropKinematic wave modelLagrangian coordinatesTraffic flow To reference this document use: http://resolver.tudelft.nl/uuid:4cb4e5b4-f5d1-4201-81e5-d6525c82cbd8 DOI https://doi.org/10.1016/j.physa.2016.08.060 Embargo date 2018-09-09 ISSN 0378-4371 Source Physica A: Statistical Mechanics and its Applications, 465, 472-485 Part of collection Institutional Repository Document type journal article Rights © 2017 K. Yuan, V.L. Knoop, S.P. Hoogendoorn Files PDF KaiPhysicaA_preprint.pdf 3.12 MB Close viewer /islandora/object/uuid:4cb4e5b4-f5d1-4201-81e5-d6525c82cbd8/datastream/OBJ/view