Summary
Resolution of LWR model is considered. The method proposed in this paper differs from (continuous) characteristic based analytical resolutions or from (discretized) finite difference schemes. It is based on an approximation of the flow-density relationship which yields a solution with piecewise constant density. This solution is then exactly calculated by tracking waves and handling their collisions. Extensions for incorporating boundary conditions such as traffic signals or discontinuity of the flow-density diagram are considered and provide an illustration of the potentiality of the method.
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Henn, V. (2005). A Wave-Based Resolution Scheme for the Hydrodynamic LWR Traffic Flow Model. In: Hoogendoorn, S.P., Luding, S., Bovy, P.H.L., Schreckenberg, M., Wolf, D.E. (eds) Traffic and Granular Flow ’03. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28091-X_10
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DOI: https://doi.org/10.1007/3-540-28091-X_10
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