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The component-consistent pressure correction projection method for the incompressible Navier-Stokes equations
Huang, LC; Wu, YD
1996-06-01
Source PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN0898-1221
Volume31Issue:11Pages:1-21
AbstractIn this paper, we propose the component-consistent pressure correction projection method for the numerical solution of the incompressible Navier-Stokes equations. This projection preserves a discrete form of the component-consistent condition between components of the solution at every time step. We also propose, in particular, the CNMT2 + CCPC method and the RKMT + CCPC method, both involving one pressure Poisson solution per time step. We show that they are both of O(Delta t(2)) for the Velocity and O(Delta t) for the pressure on fixed meshes and finite time intervals. Numerical tests on flow simulation support our claim that the component-consistent pressure correction projection method solves the deviation problem encountered sometimes by the original pressure correction projection method.
Keywordincompressible Navier-Stokes equations pressure correction projection deviation differential-algebraic equations component-consistency
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:A1996UQ20900001
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28761
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,Wu, YD. The component-consistent pressure correction projection method for the incompressible Navier-Stokes equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,1996,31(11):1-21.
APA Huang, LC,&Wu, YD.(1996).The component-consistent pressure correction projection method for the incompressible Navier-Stokes equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,31(11),1-21.
MLA Huang, LC,et al."The component-consistent pressure correction projection method for the incompressible Navier-Stokes equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 31.11(1996):1-21.
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