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Approximating Traffic Flow by a Schrödinger Equation - Introduction of Non-Reflecting Boundary Conditions

Woesler, Richard and Thiessenhusen, Kai-Uwe and Kühne, Reinhart (2003) Approximating Traffic Flow by a Schrödinger Equation - Introduction of Non-Reflecting Boundary Conditions. In: Traffic and Granular Flow '03, pp. 223-228. Springer. Traffic and Granular Flow '03, 2003-10-01 - 2003-10-03, Delft (Niederlande).

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Abstract

We show that some simple urban traffic flow equations can be approximated by equations which are equivalent to a Schrödinger equation. For a simulation of the Schrödinger equation as well as for analytical computations it is useful that waves of traffic which travel along a road are not reflected at the boundaries of the simulated region. We present the non-reflecting boundary condition for a corresponding one-dimensional Schrödinger equation, and show simulation results for a wave package of traffic moving towards such a boundary. Numerous ways to describe traffic flow are known. A simple way to approximate urban traffic with one-dimensional lanes is to use the following macroscopic equations.

Document Type:Conference or Workshop Item (Speech, Paper)
Title:Approximating Traffic Flow by a Schrödinger Equation - Introduction of Non-Reflecting Boundary Conditions
Authors:
AuthorsInstitution or Email of Authors
Woesler, RichardUNSPECIFIED
Thiessenhusen, Kai-UweUNSPECIFIED
Kühne, ReinhartUNSPECIFIED
Date:2003
Journal or Publication Title:Traffic and Granular Flow '03
Refereed publication:Yes
In ISI Web of Science:No
Page Range:pp. 223-228
Editors:
EditorsEmail
Bovy, P. H. L.UNSPECIFIED
Hoogendoorn, S. P.UNSPECIFIED
Schreckenberg, M.UNSPECIFIED
Wolf, D. E.UNSPECIFIED
Publisher:Springer
Status:Published
Keywords:traffic flow theory, macroscopic equations, Schrödinger equation, traffic simulation, boundary conditions
Event Title:Traffic and Granular Flow '03
Event Location:Delft (Niederlande)
Event Type:international Conference
Event Dates:2003-10-01 - 2003-10-03
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:other
DLR - Research area:Transport
DLR - Program:V - no assignement
DLR - Research theme (Project):V -- no assignement
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Transport Research
Deposited By: Andrea Dumong
Deposited On:22 Nov 2005
Last Modified:12 Dec 2013 19:57

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