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.
Numerical Simulation and Analysis of Traffic Flow
Transportation Research Record
Transportation Research Record: Journal of the Transportation Research Board ; 1678 , 1 ; 251-260
1999-01-01
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Numerical Simulation and Analysis of Traffic Flow
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