NSSC OpenIR  > 空间科学部
改进的二维三阶半离散中心迎风格式
Alternative TitleModified Two Dimensional Third-order Semi-discrete Central-upwind Scheme
侯天相; 纪珍; zji@spaceweather.ac.cn
Department运控部/科学卫星综合运控中心
Source Publication空间科学学报
2012
Volume32Issue:2Pages:197-203
ISSN0254-6124
Language中文
Keyword非振高阶格式 重构 中心迎风格式
Abstract对二维三阶半离散中心迎风格式中的权函数给出了简化改进.在保持格式精度的基础上,改进后的权函数在二维情况下具有更加简单直接的结构而且严格非负.该改进方法得到的格式仍然具有半离散中心迎风格式的优点,同时保持了重构函数的非振性.时间离散采用保持强稳定性的三阶Runge-Kutta方法,并利用四阶Lax-Wendroff(L-W)格式计算磁流体算例中的磁场散度.用该修正格式计算了二维磁流体数值算例,得到高精度无振荡的结果,验证了此方法的有效性.
Other AbstractThe semi-discrete central-upwind scheme is a new Godunov type numerical method which is developed in 1990s.The scheme is widely used in the computational fluid dynamics and its advantages include the simple calculation process,the high calculation precision and so on.But for the third-order scheme,the positivity of the weight function and the non-oscillation of the WENO type reconstruction function in every direction cannot be preserved in two dimensional problems. In this article,a simple,direct modification is taken to the weight function of the two dimensional third-order semi-discrete central-upwind scheme.The modified weight function will keep the positivity all the time while the accuracy of the semi-discrete central-upwind method is preserved.The revised scheme still has the advantages of central-upwind schemes and it keeps the non-oscillation of reconstruction.To explore the potential capability of application of this reformation of weight function, two Magnetohydrodynamics(MHD) problems are simulated.In simulations,the third order Runge-Kutta method is used to solve the time evolution and the divergence of magnetic field was calculated by fourth-order Lax-Wendroff(L-W) scheme.All the numerical results demonstrate the modified scheme can solve the MHD equations stably,get high resolution and non-oscillatory results, keep the positivity of the weight function and the reconstruction is non-oscillatory in each direction.
Indexed ByCSCD
Funding Project中国科学院空间科学与应用研究中心
Citation statistics
Document Type期刊论文
Identifierhttp://ir.nssc.ac.cn/handle/122/3059
Collection空间科学部
Corresponding Authorzji@spaceweather.ac.cn
Recommended Citation
GB/T 7714
侯天相,纪珍,zji@spaceweather.ac.cn. 改进的二维三阶半离散中心迎风格式[J]. 空间科学学报,2012,32(2):197-203.
APA 侯天相,纪珍,&zji@spaceweather.ac.cn.(2012).改进的二维三阶半离散中心迎风格式.空间科学学报,32(2),197-203.
MLA 侯天相,et al."改进的二维三阶半离散中心迎风格式".空间科学学报 32.2(2012):197-203.
Files in This Item:
File Name/Size DocType Version Access License
2012322197.pdf(603KB) 开放获取CC BY-NC-SAApplication Full Text
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[侯天相]'s Articles
[纪珍]'s Articles
[zji@spaceweather.ac.cn]'s Articles
Baidu academic
Similar articles in Baidu academic
[侯天相]'s Articles
[纪珍]'s Articles
[zji@spaceweather.ac.cn]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[侯天相]'s Articles
[纪珍]'s Articles
[zji@spaceweather.ac.cn]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.