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Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh
Huang, LC
2000-09-01
Source PublicationJOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
Volume18Issue:5Pages:521-540
AbstractIn this paper, the Crank-Nicholson + component-consistent pressure correction method for the numerical solution of the unsteady incompressible Navier-Stokes equation of [1] on the rectangular half-staggered mesh has been extended to the curvilinear half-staggered mesh. The discrete projection, both for the projection step in the solution procedure and for the related differential-algebraic equations, has been carefully studied and verified. It is proved that the proposed method is also unconditionally (in Delta t) nonlinearly stable on the curvilinear mesh, provided the mesh is not too skewed. It is seen that for problems with an outflow boundary, the half-staggered mesh is especially;advantageous. Results of preliminary numerical experiments support these claims.
Keywordunsteady incompressible Navier-Stokes equations curvilinear half-staggered mesh discrete projection
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000089333200007
PublisherVSP BV
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15284
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Huang, LC. Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2000,18(5):521-540.
APA Huang, LC.(2000).Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh.JOURNAL OF COMPUTATIONAL MATHEMATICS,18(5),521-540.
MLA Huang, LC."Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh".JOURNAL OF COMPUTATIONAL MATHEMATICS 18.5(2000):521-540.
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