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Erschienen in:
2005 | OriginalPaper | Buchkapitel
Approximating Traffic Flow by a Schrödinger Equation - Introduction of Non-Reflecting Boundary Conditions
verfasst von : R. Woesler, K.-U. Thiessenhusen, R.D. Kühne
Erschienen in: Traffic and Granular Flow ’03
Verlag: Springer Berlin Heidelberg
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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.