Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling

Entropy-Monotone Scheme for Nonlinear Scalar Conservation Laws

Authors
Li Xiao, Rongsan Chen, Miao Wang, Xia Zhang
Corresponding Author
Li Xiao
Available Online May 2016.
DOI
https://doi.org/10.2991/amsm-16.2016.22How to use a DOI?
Keywords
entropy-monotone scheme; GRP numerical fluxes; high resolution
Abstract

The Entropy-TVD scheme was developed for the non-linear scalar conservation laws in [1].The scheme with step reconstruction simultaneously compute the two numerical entities, the numerical solution and the numerical entropy, and numerical examples show that the scheme provides a super-convergence rate. In this paper, we present an Entropy-Monotone scheme with linear reconstruction for the non-linear scalar conservation laws. The GRP fluxes are used to compute numerical fluxes. Numerical tests show that the convergent rates of Entropy-Monotone scheme are more stable than Entropy-TVD scheme and Entropy-Monotone scheme has better resolution of shocks and corners of rarefaction waves.

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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Volume Title
Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
Series
Advances in Computer Science Research
Publication Date
May 2016
ISBN
978-94-6252-198-8
ISSN
2352-538X
DOI
https://doi.org/10.2991/amsm-16.2016.22How to use a DOI?
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/).

Cite this article

TY  - CONF
AU  - Li Xiao
AU  - Rongsan Chen
AU  - Miao Wang
AU  - Xia Zhang
PY  - 2016/05
DA  - 2016/05
TI  - Entropy-Monotone Scheme for Nonlinear Scalar Conservation Laws
BT  - Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
PB  - Atlantis Press
SP  - 93
EP  - 96
SN  - 2352-538X
UR  - https://doi.org/10.2991/amsm-16.2016.22
DO  - https://doi.org/10.2991/amsm-16.2016.22
ID  - Xiao2016/05
ER  -