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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
黄兰洁
2002
Source Publication计算数学
ISSN0254-7791
Volume024Issue:002Pages:197
AbstractThe 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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/46778
Collection中国科学院数学与系统科学研究院
Affiliation中国科学院数学与系统科学研究院
Recommended Citation
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,2002,024(002):197.
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,024(002),197.
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 024.002(2002):197.
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