✦ LIBER ✦

An improved macroscopic model of traffic flow: Derivation and links with the Lighthill-Whitham model

✍ Scribed by M. Rascle

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 613 KB
Volume: 35
Category: Article
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(02)80022-x

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✦ Synopsis

first recall a macroscopic model with two equations, that we have introduced in [l], and which completely resolves the severe inconsistencies of the class of Payne-Whitham models. In this short paper, we describe the effects of adding a relaxation term in the anticipation equation, and the main steps and mathematical difficulties to show rigorously the convergence to the Lighill-Whitham model when the relaxation time tends to 0.

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Efficient implementation of the shock-fi

Efficient implementation of the shock-fitting algorithm for the Lighthill–Whitham–Richards traffic flow model

✍ Wenqin Chen; S. C. Wong; Chi-Wang Shu 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 447 KB

## Abstract This paper firstly presents the existence and uniqueness properties of the intersection time between two neighboring shocks or between a shock and a characteristic for the analytical shock‐fitting algorithm that was proposed to solve the Lighthill–Whitham–Richards (LWR) traffic flow mod