English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, a particle method is used to approximate the solutions of a"fluid-like" macroscopic traffic flow model for automated vehicles. It is shownthat this method preserves certain differential inequalities that hold for themacroscopic traffic model: mass is preserved, the mechanical energy is decayingand an energy functional is also decaying. To demonstrate the advantages of theparticle method under consideration, a comparison with other numerical methodsfor viscous compressible fluid models is provided. Since the solutions of themacroscopic traffic model can be approximated by the solutions of a reducedmodel consisting of a single nonlinear heat-type partial differential equation,the numerical solutions produced by the particle method are also compared withthe numerical solutions of the reduced model. Finally, a traffic simulationscenario and a comparison with the Aw-Rascle-Zhang (ARZ) model are provided,illustrating the advantages of the use of automated vehicles.

A Comparative Study of Numerical Methods for Approximating the Solutions of a Macroscopic Automated-Vehicle Traffic Flow Model