High resolution entropy stable scheme for shallow water equations

DOI

10.2991/isci-15.2015.272How to use a DOI?

Keywords

entropy stable scheme; limiter; shallow water equations; high resolution

Abstract

A high resolution entropy stable scheme is proposed for solving shallow water equations in this paper. The scheme contains two parts: entropy conservative flux and numerical diffusion operator. To achieve high resolution, a limiter is employed to guarantee the numerical diffusion term being added around the discontinuities automatically. Numerical experiments are presented to demonstrate the proposed scheme’s capacity.

Copyright

© 2015, 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  - Xiaohan Cheng
AU  - Yufeng Nie
PY  - 2015/01
DA  - 2015/01
TI  - High resolution entropy stable scheme for shallow water equations
BT  - Proceedings of the 2015 International Symposium on Computers & Informatics
PB  - Atlantis Press
SP  - 2078
EP  - 2085
SN  - 2352-538X
UR  - https://doi.org/10.2991/isci-15.2015.272
DO  - 10.2991/isci-15.2015.272
ID  - Cheng2015/01
ER  -