Geodesic
Two-dimensional macroscopic model of traffic flows
Matematičeskoe modelirovanie, Tome 21 (2009) no. 2, pp. 118-126

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The problem of modeling vehicular traffic flows on city roads and at freeways is considered. A brief review of existing conceptions and models is given. A two-dimensional model of congestion traffic flows is developed basing on the continuum approach and analogy with kinetically consistent finite-difference schemes. The model is verified by test problems. 
@article{MM_2009_21_2_a10,
     author = {A. B. Sukhinova and M. A. Trapeznikova and B. N. Chetverushkin and N. G. Churbanova},
     title = {Two-dimensional macroscopic model of traffic flows},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {118--126},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_2_a10/}
}
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A. B. Sukhinova; M. A. Trapeznikova; B. N. Chetverushkin; N. G. Churbanova. Two-dimensional macroscopic model of traffic flows. Matematičeskoe modelirovanie, Tome 21 (2009) no. 2, pp. 118-126. http://geodesic.mathdoc.fr/item/MM_2009_21_2_a10/