Well-Balanced WENO Scheme for Tidal Wave Equations
Title: Well-Balanced WENO Scheme for Tidal Wave Equations
Journal: Simulation and Modelling, May 28-29, 2016, Beijing, China, 310-313.
Authors: ZHU Q. -Q., W. Sun, J. -C. Zhang, and X. -Q. Lv*
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.