New multigrid smoothers for the Oseen problem
New multigrid smoothers for the Oseen problem
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DOI：
10.1002/nla.707
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发表时间：
2010-04
影响因子：
4.3
通讯作者：
Steven P. Hamilton;M. Benzi;Eldad Haber
中科院分区：
文献类型：
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作者：
Steven P. Hamilton;M. Benzi;Eldad Haber
我们研究了基于Hermitian/skew-Hermitian（HSS）和增广拉格朗日（AL）分裂的平滑器应用于Oseen问题的标记和单元（MAC）离散化的性能。定常和非定常流被认为是。局部傅立叶分析和二维盖驱动空腔问题的数值实验表明，所提出的平滑器导致h独立的收敛，并且相对于雷诺数是相当稳健的。一个直接的比较表明，新的平滑器比较有利的Braess-Sarazin型耦合平滑器，特别是在缩放增加雷诺数。版权所有© 2010约翰威利父子有限公司.
We investigate the performance of smoothers based on the Hermitian/skew‐Hermitian (HSS) and augmented Lagrangian (AL) splittings applied to the Marker‐and‐Cell (MAC) discretization of the Oseen problem. Both steady and unsteady flows are considered. Local Fourier analysis and numerical experiments on a two‐dimensional lid‐driven cavity problem indicate that the proposed smoothers result in h‐independent convergence and are fairly robust with respect to the Reynolds number. A direct comparison shows that the new smoothers compare favorably to coupled smoothers of Braess–Sarazin type, especially in terms of scaling for increasing Reynolds number. Copyright © 2010 John Wiley & Sons, Ltd.