针对浅水方程,提出一种数值求解格式:空间方向采用满足熵稳定条件的数值通量,并在单元交界面处进行高阶WENO重构,时间上的推进采用强稳定的Runge?Kutta方法。模拟一维和二维经典问题,结果表明,该格式具有分辨率高、基本无振荡性等特点。
A high resolution scheme is presented for shallow water equations. The scheme is based on entropy stable numerical flux with high order weighted essentially nonoscillatory ( WENO) reconstruction at cell interfaces. A strong stabilitypreserving RungeKutta method is employed to advance in time. Several benchmark numerical examples demonstrate that the scheme is accurate and nonoscillatory.