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
- 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/).
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 - 10.2991/amsm-16.2016.22 ID - Xiao2016/05 ER -