摘要
文中对原有的复合方法进行了改进,提出了一种新的复合型数值方法,这种方法解决了原方法求解含源项的问题时存在数值震荡的缺点。为了验证算法的有效性,对计算流体力学中一阶浅水波问题的两个典型的算例进行了数值模拟,在解的光滑性、锐利性等几个方面做了分析,结果表明改进后的方法既消除了数值震荡现象,又能准确地逼近真解,求出锐利的间断,是一种行之有效的数值方法。
In this paper, improved the composite numerical method and put forward a new numerical method. The new method can deal with the oscillations around shocks, but the old method cannot. In order to testify the validity of the new method, test two shallow water wave problems of computational hydraulics and analyze the smooth and discontinuity of the problems.The result shows the new method can not only get rid of the oscillations around shocks, but also reserve a sharp discontinuity, so the new method is a feasible numerical method.
出处
《微机发展》
2003年第12期122-124,共3页
Microcomputer Development
基金
安徽省自然科学基金资助项目(03046101)
