The component-consistent pressure correction projection method for the incompressible Navier-Stokes equations

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	The component-consistent pressure correction projection method for the incompressible Navier-Stokes equations
	Huang, LC; Wu, YD
	1996-06-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	31 期号:11 页码:1-21
摘要	In 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.
关键词	incompressible Navier-Stokes equations pressure correction projection deviation differential-algebraic equations component-consistency
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:A1996UQ20900001
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28761
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, LC
作者单位	CHINESE ACAD SCI,INST COMPUTAT MATH & SCI ENGN COMP,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 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.