IMECH-IR  > 力学所知识产出(1956-2008)
双曲守恒型方程的二阶摄动有限差分格式
Alternative TitleSecond-order perturbational finite difference schemes for hyperbolic conservation equation
申义庆; 高智; 杨顶辉
Source Publication空气动力学学报
2003
Volume21Issue:3Pages:342-350
ISSN0258-1825
Abstract对双曲守恒型方程,将其一阶迎风格式空间差商的常系数摄动展开为时间步长和空间步长的幂级数,通过确定幂级数系数而获得二阶精度的摄动有限差分(PFD)格式。进而从双曲守恒型方程的通量分裂型一阶迎风格式出发,通过娄似的摄动展开方法,获得空间精度为二阶的通量分裂形式的摄动有限差分(FPFD)格式。这两类格式保留了一阶守恒迎风格式的简洁结构形式,使用三节点即可达到二阶精度,又避免了三点二阶格式的非物理数值振荡。并将这两类格式推广应用到双曲守恒型方程组,最后通过模型方程和一维激波管流动的数值算例验证了格式的高精度、高分辨率性质。
Keyword计算流体力学 双曲守恒型方程 无振荡格式 摄动有限差分格式
Subject Area力学
Indexed ByCSCD ; EI
Language中文
CSCD IDCSCD:1174750
Citation statistics
Cited Times:5[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/16770
Collection力学所知识产出(1956-2008)
Recommended Citation
GB/T 7714
申义庆,高智,杨顶辉. 双曲守恒型方程的二阶摄动有限差分格式[J]. 空气动力学学报,2003,21,3,:342-350.
APA 申义庆,高智,&杨顶辉.(2003).双曲守恒型方程的二阶摄动有限差分格式.空气动力学学报,21(3),342-350.
MLA 申义庆,et al."双曲守恒型方程的二阶摄动有限差分格式".空气动力学学报 21.3(2003):342-350.
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