An improved second-order continuum traffic model

作者：Marques W Jr^*; Velasco R M

来源：Journal of Statistical Mechanics: Theory and Experiment , 2010, P02012.

DOI：10.1088/1742-5468/2010/02/P02012

• traffic and crowd dynamics
• traffic models

We construct a second-order continuum traffic model by using an iterative procedure in order to derive a constitutive relation for the traffic pressure which is similar to the Navier-Stokes equation for ordinary fluids. Our second-order traffic model represents an improvement on the traffic model suggested by Kerner and Konhauser since the iterative procedure introduces, in the constitutive relation for the traffic pressure, a density-dependent viscosity coefficient. By using a finite-difference scheme based on the Steger-Warming flux splitting, we investigate the solution of our improved second-order traffic model for specific problems like shock fronts in traffic and freeway-lane drop.

• 出版日期2010-2