Abstract. This paper extends an existing continuum multi-lane formulation for traffic flow, provides a discrete formulation for its numerical solution, and shows initial results. The new formulation enables a natural treatment of boundary conditions such as merges, diverges, lane-drops and moving bottlenecks. The proposed model needs few extra parameters and is parsimonious. The look-ahead distance, for example, induces the anticipation of traffic conditions, causing smooth regime changes and fast waves. We find that as the look-ahead distance tends to zero, the solution tends to the kinematic wave one. The example of a lane-drop is analyzed and also used to demonstrate the convergence of the discrete model.
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