An improved WENO-Z scheme for a multi-class Lighthill-Whitham-Richards traffic flow model

DOI

10.2991/ifeesd-16.2016.167How to use a DOI?

Keywords

Multi-class model, WENO-Z, Central-upwind scheme, TVD Runge-Kutta.

Abstract

In this paper, we mainly propose a new semi-discrete central-upwind scheme to solve a MCLWR model based on fifth order improved WENO-Z reconstruction and semi-discrete central-upwind numerical fluxes. By introducing the new WENO-Z reconstruction, the order of accuracy of the schemes is improved, and preserve essential non-oscillatory property. The main advantage of this procedure is that the capacity of much better resolution at the smooth parts of the solution, while keeping the same numerical stability of the original WENO-Z at shocks and discontinuities. This property must be contrasted with classical upwind WENO schemes. The time integration we adopt is the third order TVD Runge-Kutta scheme. The effectiveness of our method is demonstrated in several numerical examples.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Pan Luo
AU  - Lingyan Tang
PY  - 2016/05
DA  - 2016/05
TI  - An improved WENO-Z scheme for a multi-class Lighthill-Whitham-Richards traffic flow model
BT  - Proceedings of the 2016 International Forum on Energy, Environment and Sustainable Development
PB  - Atlantis Press
SP  - 941
EP  - 945
SN  - 2352-5401
UR  - https://doi.org/10.2991/ifeesd-16.2016.167
DO  - 10.2991/ifeesd-16.2016.167
ID  - Luo2016/05
ER  -