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

Well-Balanced WENO Scheme for Tidal Wave Equations

Authors
Qiangqiang Zhu, Wei Sun, Jicai Zhang, Xianqing Lv
Corresponding Author
Qiangqiang Zhu
Available Online May 2016.
DOI
10.2991/amsm-16.2016.69How to use a DOI?
Keywords
high order; well-balanced; WENO; tidal wave equations; source term
Abstract

In this paper, we investigate the high order well-balanced essentially non-oscillatory (WENO) finite difference scheme for simulations of tidal wave equations. The third order WENO scheme is employed to capture high gradients in an essentially non-oscillatory manner with a discretization by the third order TVD Runge-Kutta method. In this study, several one- (1D) and two- dimensional (2D) numerical cases are carried out in comparison with a central difference scheme (CDS). The results demonstrate the the exact conservation property (C-property), high order accuracy and essentially non-oscillatory shock capturing of the smooth and discontinuous solutions respectively.

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
10.2991/amsm-16.2016.69How 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  - Qiangqiang Zhu
AU  - Wei Sun
AU  - Jicai Zhang
AU  - Xianqing Lv
PY  - 2016/05
DA  - 2016/05
TI  - Well-Balanced WENO Scheme for Tidal Wave Equations
BT  - Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
PB  - Atlantis Press
SP  - 310
EP  - 313
SN  - 2352-538X
UR  - https://doi.org/10.2991/amsm-16.2016.69
DO  - 10.2991/amsm-16.2016.69
ID  - Zhu2016/05
ER  -