In this paper a second order vehicular macroscopic model is derived from a microscopic car-following type model and is analyzed. The source term includes nonlocal anticipation terms. A Finite Volume Lagrange-remap scheme is proposed.
DE VUYST, F., RICCI, V., SALVARANI, F. (2011). Nonlocal second order vehicular traffic flow models and Lagrange-remap finite volumes. In J.F. Jaroslav Fořt (a cura di), Finite Volumes for Complex Applications VI Problems & Perspectives (pp. 781-789). Springer Berlin Heidelberg [10.1007/978-3-642-20671-9_82].
Nonlocal second order vehicular traffic flow models and Lagrange-remap finite volumes
RICCI, Valeria;
2011-01-01
Abstract
In this paper a second order vehicular macroscopic model is derived from a microscopic car-following type model and is analyzed. The source term includes nonlocal anticipation terms. A Finite Volume Lagrange-remap scheme is proposed.
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