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

R. Woesler (), K.-U. Thiessenhusen and R.D. Kühne
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R. Woesler: German Aerospace Center, Institute of Transportation Research
K.-U. Thiessenhusen: German Aerospace Center, Institute of Transportation Research
R.D. Kühne: German Aerospace Center, Institute of Transportation Research

A chapter in Traffic and Granular Flow ’03, 2005, pp 223-228 from Springer

Abstract: Summary 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.

Keywords: traffic flow theory; macroscopic equations; Schrödinger equation; traffic simulation; boundary conditions (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-28091-0_20

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DOI: 10.1007/3-540-28091-X_20

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