IMECH-IR  > 力学所知识产出(1956-2008)
对流扩散方程的变步长摄动有限差分格式
高智; 李明军; 朱力立
Source Publication水动力学研究与进展A辑
2002
Pages293-299
Conference Name第十一届全国计算流体力学会议
Conference Date2002-9-1
Conference Place中国河南洛阳
Abstract摄动有限差分(PFD)方法是构造高精度差分格式的一种新方法。变步长摄动有限差分方法是等步长摄动有限差分方法的推广。对需要局部加密网格的计算问题,变步长加密不需要对自变量进行数学变换,且和等步长PFD格式一样,具有如下的共同特点:从变步长一阶迎风格式出发,通过把对流系数作变步长摄动展开,展开幂级数系数通过消去摄动格式修正微分方程的截断误差项求出,由此获得高精度变步长PED格式。该格式在一、二和三维情况下分别仅使用三、五和七个基点,且具有迎风性。文中利用变步长PFD格式数值模拟了对流扩散反应模型方程,Burgers方程及气袋问题,并与一阶迎风和二阶中心格式及问题的精确解析解作了比较。数值试验表明,...
Keyword高精度差分格式 摄动有限差分方法 变步长摄动有限差分方法
Department力学所
Language中文
Document Type会议论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/48152
Collection力学所知识产出(1956-2008)
Recommended Citation
GB/T 7714
高智,李明军,朱力立. 对流扩散方程的变步长摄动有限差分格式[C],2002:293-299.
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