Skip to main content

A roe solver for a multi-class traffic flow model

Resource type
Thesis type
(Thesis) M.Sc.
Date created
2011-12-01
Authors/Contributors
Abstract
The dynamics of traffic flow, where drivers are distinguished by distinct velocity classes, can be described using a nonlinear system of hyperbolic conservation laws. The equations are a generalization of the scalar Lighthill, Whitham and Richards (LWR) model. We first derive the exact solution to the corresponding Riemann problem in the case of two classes. We then motivate the use of a Roe solver and derive the Roe linearization with a corresponding entropy fix. Finally, we implement the scheme for two- and three-class flow using CLAWPACK, a publicly available package for solving hyperbolic conservation laws.
Document
Identifier
etd6934
Copyright statement
Copyright is held by the author.
Permissions
The author granted permission for the file to be printed and for the text to be copied and pasted.
Scholarly level
Supervisor or Senior Supervisor
Thesis advisor: Stockie, John
Member of collection
Download file Size
etd6934_RBowlby.pdf 707.43 KB

Views & downloads - as of June 2023

Views: 0
Downloads: 0