关于非定常不可压Navier—Stokes方程的时间高精度隐式差分方法

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	关于非定常不可压Navier—Stokes方程的时间高精度隐式差分方法
其他题名	On High-Order Time-Accurate Implicit Difference Methods for the Unsteady Incompressible Navier-Stokes Equations
	黄兰洁
	2002
发表期刊	计算数学
ISSN	0254-7791
卷号	24.0 期号:002 页码:197-218
摘要	The incompressible Navier-Stokes equations,upon spatial discretization,become a system of differential algebraic equations,formally of index2.But due to the special forms of the discrete gradient and disrete divergence,its index can be regarded as 1.Thus,in this paper,a systematic approach following the ODE theory and methods is presented for the construction of high-order time-accurate implicit schemes for the incompressible Navier-Stokes equations,with projection methods for efficiency of numerical solution.The 3rd order 3-step BDF with componentconsistent pressure-correction projection method is a first attempt in this direction;the related iterative solution of the auxiliary velocyty,the boundary conditions and the stability of the algorithm are discussed.Results of numerical tests on the incompressible Navier-Stokes equations with an exact solution are presented,confirming the accureacy,stability and component-consistency of the proposed method.
其他摘要	The incompressible Navier-Stokes equations,upon spatial discretization,become a system of differential algebraic equations,formally of index2.But due to the special forms of the discrete gradient and disrete divergence,its index can be regarded as 1.Thus,in this paper,a systematic approach following the ODE theory and methods is presented for the construction of high-order time-accurate implicit schemes for the incompressible Navier-Stokes equations,with projection methods for efficiency of numerical solution.The 3rd order 3-step BDF with componentconsistent pressure-correction projection method is a first attempt in this direction;the related iterative solution of the auxiliary velocyty,the boundary conditions and the stability of the algorithm are discussed.Results of numerical tests on the incompressible Navier-Stokes equations with an exact solution are presented,confirming the accureacy,stability and component-consistency of the proposed method.
关键词	非定常不可压Navier－Stokes方程时间有度隐式格式投影方法微分代数方程常微分方程
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:1076280
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52712
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	黄兰洁. 关于非定常不可压Navier—Stokes方程的时间高精度隐式差分方法[J]. 计算数学,2002,24.0(002):197-218.
APA	黄兰洁.(2002).关于非定常不可压Navier—Stokes方程的时间高精度隐式差分方法.计算数学,24.0(002),197-218.
MLA	黄兰洁."关于非定常不可压Navier—Stokes方程的时间高精度隐式差分方法".计算数学 24.0.002(2002):197-218.