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1998 New Zealand Mathematics Colloquium
July 6-9, 1998
Victoria University of Wellington
Wellington, New Zealand

Organizers
Peter Donelan, Chris Atkin, John Harper, Philip Rhodes-Robinson, Jim Neyland, Geoff Whittle, Steve White, Vladimir Pestov, Tom Crosby

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Transportation Modelling
by
Leith Saunders

The hydrodynamic model of traffic flow incorporates a partial differential equation relating flow rate q and density k as functions of distance and time. The variables q and k are related by an empirical function peculiar to traffic flow. A stable numerical method has been developed to solve the equation in a manner which realistically portrays shock waves. This produces tables of q and k in a distance and time mesh for road systems which may incorporate changes in number of lanes, traffic signals and side flows.

Date received: June 7, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabd-39.