一维溃坝问题的间断Galerkin方法

The discontinuous Galerkin method for one-dimensional dam-break problem

将间断Galerkin方法应用于一维溃坝问题中,采用了两种不同数值流函数,对其进行比较。使用TVDM,TVBM型的限制器,同时利用一种改进的限制器来消除振荡。与一种高分辨率TVD性质的差分方法做了比较。结果表明间断Galerkin方法得到了更加逼真的图像。

We apply the discontinuous Galerkin method to the one dimensional dam-break problem.Two different numerical flux functions are used and compared. The TVDM and the TVBM slope limiters are used, and a modified slope limiter is also used to eliminate oscillations.The comparision with the high-resolution finite difference method, which has TVD property, showed that the dicontinuous Galerkin method get a sharper and more accurate image.