<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We consider the Godunov numerical method to the phase-transition trafic model, proposed in [1], by Colombo, Marcellini, and Rascle. Numerical tests are shown to prove the validity of the method. Moreover we highlight the differences between such model and the one proposed in [2], by Blandin, Work, Goatin, Piccoli, and Bayen. </p></abstract>

We consider the Godunov numerical method to the phase-transition trafic model, proposed in [1], by Colombo, Marcellini, and Rascle. Numerical tests are shown to prove the validity of the method. Moreover we highlight the differences between such model and the one proposed in [2], by Blandin, Work, Goatin, Piccoli, and Bayen.

The Godunov method for a 2-phase model

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"The Godunov method for a 2-phase model"}

We consider the Godunov numerical method to the phase-transition trafic model, proposed in [1], by Colombo, Marcellini, and Rascle. Numerical tests are shown...

The Godunov method for a 2-phase model

Published Online: Jul 20, 2017

Page range: 149 - 164

Received: Dec 19, 2016

Accepted: Jun 16, 2017

DOI: https://doi.org/10.1515/caim-2017-0008

Keywords
2--Phase Model, Continuum Traffic Models, Godunov Scheme, Hyperbolic Systems of Conservation Laws

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The Godunov method for a 2-phase model

Published Online: Jul 20, 2017

Page range: 149 - 164

Received: Dec 19, 2016

Accepted: Jun 16, 2017

DOI: https://doi.org/10.1515/caim-2017-0008

Keywords2--Phase Model, Continuum Traffic Models, Godunov Scheme, Hyperbolic Systems of Conservation Laws

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
2--Phase Model, Continuum Traffic Models, Godunov Scheme, Hyperbolic Systems of Conservation Laws