用动力学的流矢量分裂法计算溃坝波问题

Kinetic Flux Vector Splitting Method for the Shallow Water Long Wave Equation

采用动力学的流矢量分裂法模拟浅水长波方程.利用气体动力学方程与浅水长波方程之间的比拟关系,并结合TVD差分格式给出浅水长波方程的数值计算方法.计算了溃坝波问题.数值结果与精确解的比较表明,该方法能很好地模拟浅水长波方程中的间断解问题.

The kinetic flux vector splitting (KFVS) method was used to simulate the shallow water long wave equation. Based on the analogy between the gas dynamic equation and shallow water long wave equation in combination with the TVD finite difference scheme, a numerical scheme for the shallow water long wave equation is proposed. The dam breaking wave was calculated. The comparison of numerical solution with exact solution indicates that KFVS method can well capture the discontinuity of the shallow water wave equation.