The VTI National Transport Library Catalogue

Numerical simulation and analysis of traffic flow Zhang, HM ; Wu, T

By: Zhang, HMContributor(s): Wu, TPublication details: Transportation Research Record, 1999Description: nr 1678, s. 251-60Subject(s): USA | Traffic flow | Mathematical model | Simulation | Method | Variability | 25Bibl.nr: VTI P8167:1678Location: Abstract: Six finite-difference equations often used to approximate the continuity equation of traffic flow are compared in terms of their ability to solve the Lighthill-Whitham-Richards model. Ten representative initial traffic flow conditions were selected, and numerical solutions were obtained for the selected cases using the six finite-difference equations. Results are compared with analytical solutions, and the numerical properties of these approximations are examined. It was found that the upwind finite-difference schemes with volume corrections (Godunov-type schemes) produce the best results for all 10 cases and are reasonable finite-difference schemes for simulating traffic flow.
Item type: Reports, conferences, monographs
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Six finite-difference equations often used to approximate the continuity equation of traffic flow are compared in terms of their ability to solve the Lighthill-Whitham-Richards model. Ten representative initial traffic flow conditions were selected, and numerical solutions were obtained for the selected cases using the six finite-difference equations. Results are compared with analytical solutions, and the numerical properties of these approximations are examined. It was found that the upwind finite-difference schemes with volume corrections (Godunov-type schemes) produce the best results for all 10 cases and are reasonable finite-difference schemes for simulating traffic flow.

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