The Godunov method for a 2-phase model

Mauro Garavello; Francesca Marcellini

doi:10.1515/caim-2017-0008

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The Godunov method for a 2-phase model

Communications in Applied and Industrial Mathematics

Volume 8 (2017): Issue 1 (March 2017)

By: Mauro Garavello and Francesca Marcellini

Open Access

|Jul 2017

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.

References

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Articles in this issue

DOI: https://doi.org/10.1515/caim-2017-0008 | Journal eISSN: 2038-0909

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Language: English

Page range: 149 - 164

Submitted on: Dec 19, 2016

Accepted on: Jun 16, 2017

Published on: Jul 20, 2017

Published by: Italian Society for Applied and Industrial Mathemathics

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

2--Phase Model,

Continuum Traffic Models,

Godunov Scheme,

Hyperbolic Systems of Conservation Laws

Related subjects:

Mathematics,

Numerical and computational mathematics,

Applied mathematics

© 2017 Mauro Garavello, Francesca Marcellini, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 8 (2017): Issue 1 (March 2017)