用离散速度方法计算浅水长波方程

A discrete-velocity model for the shallow water long wave equation

用离散速度法计算浅水波方程 ,将空气动力学方程和浅水波方程作了比较 ,用 Nadiga提出的近平衡流动方法模拟浅水波方程的连续和间断解。计算了一维的溃坝波问题和 Thacker提出的连续解问题 ,结果与精确解作了比较 。

A discrete\|velocity model is used for solving the shallow water equations. The gas macro dynamics equations are compared with the shallow water equations and the near\|equilibrium flow method given by Nagiga is used to simulate the continue and/or discontinue solutions of the shallow water equation. A one\|dimensional Dam\|Breaking problem and a continuous solution problem providedby Thacker are studied by the present method and the corresponding solutions are compared with the exact solutions. Lastly, the simulation of the problem for water flow over a ridge is also carried out.