Well-Balanced WENO Scheme for Tidal Wave Equations

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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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  -