UM  > Faculty of Science and Technology
Affiliated with RCfalse
A CCD-ADI method for unsteady convection-diffusion equations
Sun,Hai Wei; Li,Leonard Z.
Source PublicationComputer Physics Communications

With a combined compact difference scheme for the spatial discretization and the Crank-Nicolson scheme for the temporal discretization, respectively, a high-order alternating direction implicit method (ADI) is proposed for solving unsteady two dimensional convection-diffusion equations. The method is sixth-order accurate in space and second-order accurate in time. The resulting matrix at each ADI computation step corresponds to a triple-tridiagonal system which can be effectively solved with a considerable saving in computing time. In practice, Richardson extrapolation is exploited to increase the temporal accuracy. The unconditional stability is proved by means of Fourier analysis for two dimensional convection-diffusion problems with periodic boundary conditions. Numerical experiments are conducted to demonstrate the efficiency of the proposed method. Moreover, the present method preserves the higher order accuracy for convection-dominated problems. 

KeywordAlternating Direction Implicit Method Combined Compact Difference Scheme Unconditionally Stable Unsteady Convection-diffusion Equation
URLView the original
Indexed BySCIE
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000331919100011
Fulltext Access
Citation statistics
Cited Times [WOS]:31   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
AffiliationDepartment of Mathematics,University of Macau,Macao
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Sun,Hai Wei,Li,Leonard Z.. A CCD-ADI method for unsteady convection-diffusion equations[J]. Computer Physics Communications,2014,185(3):790-797.
APA Sun,Hai Wei,&Li,Leonard Z..(2014).A CCD-ADI method for unsteady convection-diffusion equations.Computer Physics Communications,185(3),790-797.
MLA Sun,Hai Wei,et al."A CCD-ADI method for unsteady convection-diffusion equations".Computer Physics Communications 185.3(2014):790-797.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Sun,Hai Wei]'s Articles
[Li,Leonard Z.]'s Articles
Baidu academic
Similar articles in Baidu academic
[Sun,Hai Wei]'s Articles
[Li,Leonard Z.]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Sun,Hai Wei]'s Articles
[Li,Leonard Z.]'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.