.png){kind=icon}
返回
PRECONDITIONED NULLSPACE METHOD FOR THE TWO-DIMENSIONAL OSEEN PROBLEM
.png){kind=icon}
PRE
AI
DOI：10.1137/070691577.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The Oseen problem, which arises in the simulation of the time-dependent Navier-Stokes equations for incompressible fluid flow, leads to indefinite, nonsymmetric and possibly ill-conditioned linear systems of equations. This paper presents a method for obtaining a reduced linear system from the original system, which is then solved by the preconditioned BiCGStab method. The system reduction is obtained through an efficient implicit representation of a basis of discretely divergence-free functions, also known as the nullspace method. We will show a close relationship between this preconditioned nullspace method and the BFBt-preconditioned pressure Schur complement problem arising in typical block preconditioners. We will use this relationship to analyze the spectrum of the preconditioned reduced system. We will also present numerical tests for the two-dimensional Oseen problem to illustrate the performance of this method, which is similar to the performance of the BFBt-preconditioned pressure Schur complement solver. In particular, it is robust w.r.t. the strength of the viscosity for simple constant wind but not for more complicated flows, and it shows only a slight dependence on the mesh size.
Keyword:
nullspace method
saddle point problem
QR factorization
preconditioning
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
机构
暂无机构信息
引用论文
.png){kind=icon}
分享收藏Interaction of YBCO thin film and substrates and its effects on the quality of the filmYBCO薄膜与基底的相互作用及其对薄膜质量的影响
PREAI
分享收藏
Microwave absorption studies in new high-Tcsuperconducting oxide systems: Tl-Ba-Ca-Cu-O and Bi-Ca-Sr-Cu-O新型高温超导氧化物体系中的微波吸收研究：Tl-Ba-Ca-Cu-O和Bi-Ca-Sr-Cu-O
PREAI
分享收藏
查看更多内容