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A CCD-ADI method for unsteady convection-diffusion equations
Sun,Hai Wei; Li,Leonard Z.
2013-12-02
Source PublicationComputer Physics Communications
ISSN00104655
Volume185Issue:3Pages:790-797
Abstract

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
DOI10.1016/j.cpc.2013.11.009
URLView the original
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000331919100011
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Cited Times [WOS]:24   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
Personal research not belonging to the institution
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,2013,185(3):790-797.
APA Sun,Hai Wei,&Li,Leonard Z..(2013).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(2013):790-797.
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