一维溃坝问题的间断Galerkin方法  

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

作　　者：张飞[1] 汪继文[1] 

机构地区：[1]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2005年第2期5-8,共4页Journal of Anhui University(Natural Science Edition)

基　　金：安徽省自然科学基金资助项目(03046101)

摘　　要：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.

关 键 词：间断GALERKIN方法 一维 溃坝 差分方法 限制器 振荡 性质 问题 TVD 消除 

分 类 号：N37[自然科学总论] O242[理学—计算数学]