Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Macroscopic modeling of multi-lane motorways using a two-dimensional
  second-order model of traffic flow   Lane changing is one of the most common maneuvers on motorways. Although,
macroscopic traffic models are well known for their suitability to describe
fast moving crowded traffic, most of these models are generally developed in
one dimensional framework, henceforth lane changing behavior is somehow
neglected. In this paper, we propose a macroscopic model, which accounts for
lane-changing behavior on motorway, based on a two-dimensional extension of the
Aw and Rascle [Aw and Rascle, SIAM J.Appl.Math., 2000] and Zhang [Zhang,
Transport.Res.B-Meth., 2002] macroscopic model for traffic flow. Under
conditions, when lane changing maneuvers are no longer possible, the model
"relaxes" to the one-dimensional Aw-Rascle-Zhang model. Following the same
approach as in [Aw, Klar, Materne and Rascle, SIAM J.Appl.Math., 2002], we
derive the two-dimensional macroscopic model through scaling of time
discretization of a microscopic follow-the-leader model with driving direction.
We provide a detailed analysis of the space-time discretization of the proposed
macroscopic as well as an approximation of the solution to the associated
Riemann problem. Furthermore, we illustrate some features of the proposed model
through some numerical experiments.

7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org