Positively conservative scheme for macroscopic traffic flow models

D. Ngoduy; S. P. Hoogendoorn

doi:10.1016/S1474-6670(17)32429-1

Positively conservative scheme for macroscopic traffic flow models

D. Ngoduy
, S. P. Hoogendoorn

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

3 Citations (Scopus)

Abstract

Judging from the large body of researches on numerical schemes to continuum traffic flow models, there is a need for a robust and reliable solution to solve these macroscopic traffic flow models. To deal with the occurrence of negative flow variables, several ad-hoc solutions have been proposed for certain specifications of the generic high-order model. However, it turns out that the outcomes will in general not be conservative, and are not very robust. The aim of this paper is to present a numerical approach that guarantees positively conservative variables in the context of traffic flow models.

Original language	English
Title of host publication	IFAC Proceedings Volumes
Pages	257-262
Number of pages	6
Volume	36
Edition	14
DOIs	https://doi.org/10.1016/S1474-6670(17)32429-1
Publication status	Published - 2003
Externally published	Yes
Event	International Federation of Automatic Control Symposium on Control in Transportation Systems 2003 - Tokyo, Japan Duration: 4 Aug 2003 → 6 Aug 2003 Conference number: 10th

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
ISSN (Print)	1474-6670

Conference

Conference	International Federation of Automatic Control Symposium on Control in Transportation Systems 2003
Abbreviated title	IFAC 2003
Country/Territory	Japan
City	Tokyo
Period	4/08/03 → 6/08/03

Keywords

Godunov scheme
Positive conservation variables
Traffic models

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10.1016/S1474-6670(17)32429-1

Cite this

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title = "Positively conservative scheme for macroscopic traffic flow models",

abstract = "Judging from the large body of researches on numerical schemes to continuum traffic flow models, there is a need for a robust and reliable solution to solve these macroscopic traffic flow models. To deal with the occurrence of negative flow variables, several ad-hoc solutions have been proposed for certain specifications of the generic high-order model. However, it turns out that the outcomes will in general not be conservative, and are not very robust. The aim of this paper is to present a numerical approach that guarantees positively conservative variables in the context of traffic flow models.",

keywords = "Godunov scheme, Positive conservation variables, Traffic models",

author = "D. Ngoduy and Hoogendoorn, \{S. P.\}",

year = "2003",

doi = "10.1016/S1474-6670(17)32429-1",

language = "English",

volume = "36",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

pages = "257--262",

booktitle = "IFAC Proceedings Volumes",

edition = "14",

note = "International Federation of Automatic Control Symposium on Control in Transportation Systems 2003, IFAC 2003 ; Conference date: 04-08-2003 Through 06-08-2003",

}

Ngoduy, D & Hoogendoorn, SP 2003, Positively conservative scheme for macroscopic traffic flow models. in IFAC Proceedings Volumes. 14 edn, vol. 36, IFAC Proceedings Volumes (IFAC-PapersOnline), pp. 257-262, International Federation of Automatic Control Symposium on Control in Transportation Systems 2003, Tokyo, Japan, 4/08/03. https://doi.org/10.1016/S1474-6670(17)32429-1

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AU - Ngoduy, D.

AU - Hoogendoorn, S. P.

N1 - Conference code: 10th

PY - 2003

Y1 - 2003

N2 - Judging from the large body of researches on numerical schemes to continuum traffic flow models, there is a need for a robust and reliable solution to solve these macroscopic traffic flow models. To deal with the occurrence of negative flow variables, several ad-hoc solutions have been proposed for certain specifications of the generic high-order model. However, it turns out that the outcomes will in general not be conservative, and are not very robust. The aim of this paper is to present a numerical approach that guarantees positively conservative variables in the context of traffic flow models.

AB - Judging from the large body of researches on numerical schemes to continuum traffic flow models, there is a need for a robust and reliable solution to solve these macroscopic traffic flow models. To deal with the occurrence of negative flow variables, several ad-hoc solutions have been proposed for certain specifications of the generic high-order model. However, it turns out that the outcomes will in general not be conservative, and are not very robust. The aim of this paper is to present a numerical approach that guarantees positively conservative variables in the context of traffic flow models.

KW - Godunov scheme

KW - Positive conservation variables

KW - Traffic models

UR - https://www.scopus.com/pages/publications/15544369539

U2 - 10.1016/S1474-6670(17)32429-1

DO - 10.1016/S1474-6670(17)32429-1

M3 - Conference Paper

AN - SCOPUS:15544369539

VL - 36

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 257

EP - 262

BT - IFAC Proceedings Volumes

T2 - International Federation of Automatic Control Symposium on Control in Transportation Systems 2003

Y2 - 4 August 2003 through 6 August 2003

ER -

Positively conservative scheme for macroscopic traffic flow models

Abstract

Publication series

Conference

Keywords

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