Well-Balanced WENO Scheme for Tidal Wave Equations
- 10.2991/amsm-16.2016.69How to use a DOI?
- high order; well-balanced; WENO; tidal wave equations; source term
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.
- © 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 -