Abstract
We construct a second-order continuum traffic model by using an iterative procedure inorder to derive a constitutive relation for the traffic pressure which is similar to theNavier–Stokes equation for ordinary fluids. Our second-order traffic model represents animprovement on the traffic model suggested by Kerner and Konhäuser since theiterative procedure introduces, in the constitutive relation for the traffic pressure, adensity-dependent viscosity coefficient. By using a finite-difference scheme based on theSteger–Warming flux splitting, we investigate the solution of our improved second-ordertraffic model for specific problems like shock fronts in traffic and freeway-lanedrop.
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