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

DOI10.4208/aamm.oa-2021-0316zbMath1524.76038OpenAlexW4366503518MaRDI QIDQ6167139

Zuojin Zhu, Zejing Hu, N. N. Smirnov, Yong Liang Zhang, Maria N. Smirnova

Publication date: 7 July 2023

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2021-0316

zbMATH Keywords

density thresholdWENO5 schemedown-up Hill road segmentsags' bottleneck effectviscoelastic continuum model

Mathematics Subject Classification ID

Traffic and pedestrian flow models (76A30)

Cites Work

• Implementation of WENO schemes in compressible multicomponent flow problems
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• An improved macroscopic model of traffic flow: Derivation and links with the Lighthill-Whitham model
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Efficient implementation of weighted ENO schemes
• Estimation of travel time through a composite ring road by a viscoelastic traffic flow model
• Travel time prediction with viscoelastic traffic model
• Total-Variation-Diminishing Time Discretizations
• Resurrection of "Second Order" Models of Traffic Flow
• Admissibility of a Wide Cluster Solution in “Anisotropic” Higher-Order Traffic Flow Models
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