求解浅水方程的光滑粒子流体动力学法

Application of the smoothed particle hydrodynamics method to solving shallow water equations

文章将光滑粒子流体动力学(SPH)法应用于浅水方程,针对传统SPH法中存在的边界缺陷问题,引入了一种处理边界条件的方法,即虚粒子法,对一维溃坝问题进行模拟,并将所得结果与用有限差分法等数值方法得到的结果相比较,结果表明SPH法能够捕捉到水坝崩溃后的激波现象,并且所得图像较为平滑,在间断处也较为锐利。

The smoothed particle hydrodynamics（SPH） method is applied to solving the shallow water equation of the one-dimensional dam-break problem. To remedy deficiency of the SPH method in dealing with boundary conditions, the virtual particle method is introduced for processing boundary conditions. Compared with the results in related literature by othcr methods, the curve obtained by the SPH method is sharper in the discontinuous place and smoother in other piaces, which shows that the SPH method can capture the shock wave well and is accurate.