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On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations
Huang, LC
2002
Source PublicationJOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
Volume20Issue:1Pages:35-56
AbstractThe unsteady incompressible Navier-Stokes equations are discretized in space and studied on the fixed mesh as a system of differential algebraic equations. With discrete projection defined, the local errors of Crank Nicholson schemes with three projection methods are derived in a straightforward manner. Then the approximate factorization of relevant matrices are used to study the time accuracy with more detail, especially at points adjacent to the boundary. The effects of numerical boundary conditions for the auxiliary velocity and the discrete pressure Poisson equation on the time accuracy are also investigated. Results of numerical experiments with an analytic example confirm the conclusions of our analysis.
Keyworddifferential algebraic equations discrete projection numerical boundary conditions
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000173483600004
PublisherVSP BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17556
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Huang, LC. On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2002,20(1):35-56.
APA Huang, LC.(2002).On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations.JOURNAL OF COMPUTATIONAL MATHEMATICS,20(1),35-56.
MLA Huang, LC."On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations".JOURNAL OF COMPUTATIONAL MATHEMATICS 20.1(2002):35-56.
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