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.
Item URL in elib: | https://elib.dlr.de/6585/ | |||||||||||||||
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Document Type: | Conference or Workshop Item (Speech, Paper) | |||||||||||||||
Title: | Approximating Traffic Flow by a Schrödinger Equation - Introduction of Non-Reflecting Boundary Conditions | |||||||||||||||
Authors: |
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Date: | 2003 | |||||||||||||||
Journal or Publication Title: | Traffic and Granular Flow '03 | |||||||||||||||
Refereed publication: | Yes | |||||||||||||||
Open Access: | No | |||||||||||||||
Gold Open Access: | No | |||||||||||||||
In SCOPUS: | No | |||||||||||||||
In ISI Web of Science: | No | |||||||||||||||
Page Range: | pp. 223-228 | |||||||||||||||
Editors: |
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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 assignment | |||||||||||||||
DLR - Research theme (Project): | V - no assignment | |||||||||||||||
Location: | Berlin-Adlershof | |||||||||||||||
Institutes and Institutions: | Institute of Transport Research | |||||||||||||||
Deposited By: | Dumong, Andrea | |||||||||||||||
Deposited On: | 22 Nov 2005 | |||||||||||||||
Last Modified: | 12 Dec 2013 19:57 |
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