Geodesic
Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling
Christophe Chalons1 ; Paola Goatin2
1Université Pierre et Marie Curie-Paris 6, France
2Université du Sud Toulon - Var, La Valette Du Var, France
Interfaces and free boundaries, Tome 10 (2008) no. 2, pp. 197-221

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DOI

A new version of Godunov scheme is proposed in order to compute solutions of a traffic flow model with phase transitions. The scheme is based on a modified averaging strategy and a sampling procedure. Several numerical tests are shown to prove the validity of the method. The convergence of the algorithm is demonstrated numerically. We also give a higher order extension of the method in space and time.
DOI : 10.4171/ifb/186
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : Hyperbolic conservation laws, continuous traffic models, Godunov scheme, phase transitions, sampling

Christophe Chalons  1   ; Paola Goatin  2

1 Université Pierre et Marie Curie-Paris 6, France
2 Université du Sud Toulon - Var, La Valette Du Var, France 
Christophe Chalons; Paola Goatin. Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling. Interfaces and free boundaries, Tome 10 (2008) no. 2, pp. 197-221. doi: 10.4171/ifb/186
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     title = {Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling},
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     pages = {197--221},
     year = {2008},
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     number = {2},
     doi = {10.4171/ifb/186},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/186/}
}
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