A finite difference method with adaptive time mesh for hyperbolic traffic flow

Hsun-Jung Cho*, Ming Chorng Hwang, Tyh Jong Jou

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

This paper presents a finite difference method with variable time mesh for the hyperbolic traffic Row. The width of each time step is determined by the ratio of uniform space mesh size and maximal characteristic velocity. The proposed adaptive time mesh schema Is compatible with most of explicit finite difference methods. Numerical examples with different initial und boundary conditions of the Lighthill-Whitharn-Richards (LWR) model and Payne-Whitham model arc provided to contrast the effects of adaptive time mesh on the Lax-Friedrichs scheme. Simulation results are generally satisfied. The number of time steps of adaptive-Lax method is much less than That of Lax method with no significant difference in solutions of LWR model. Convergence of solution is readily claimed by the Cournnt-Friedrichs-Lewy (CFL) condition.

Original languageEnglish
Title of host publicationIEEE 5th International Conference on Intelligent Transportation Systems, ITSC 2002 - Proceedings
EditorsDer-Horng Lee, Dipti Srinivasan, Ruey Long Cheu
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages779-784
Number of pages6
ISBN (Electronic)0780373898
DOIs
StatePublished - 1 Jan 2002
Event5th IEEE International Conference on Intelligent Transportation Systems, ITSC 2002 - Singapore, Singapore
Duration: 3 Sep 20026 Sep 2002

Publication series

NameIEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC
Volume2002-January

Conference

Conference5th IEEE International Conference on Intelligent Transportation Systems, ITSC 2002
CountrySingapore
CitySingapore
Period3/09/026/09/02

Keywords

  • Adaptive mesh
  • Finite difference method
  • Hyperbolic system
  • Traffic simulation

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