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An ILU smoother for the incompressible Navier-Stokes equations in general co-ordinates

✍ Scribed by S. Zeng; P. Wesseling

Publisher: John Wiley and Sons
Year: 1995
Tongue: English
Weight: 824 KB
Volume: 20
Category: Article
ISSN: 0271-2091
DOI: 10.1002/fld.1650200104

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✦ Synopsis

The solution of the incompressible Navier-Stokes equations in general two-and three-dimensional domains using a multigrid method is considered. Because a great variety of boundary-fitted grids may occur, robustness is at a premium. Therefore a new ILU smoother called CILU (collective ILU) is described, based on r-transformations. In CILU the matrix that is factorized is block-structured, with blocks corresponding to the set of physical variables. A multigrid algorithm using CILU as smoother is investigated. The performance of the algorithm in two and three dimensions is assessed by numerical experiments. The results show that CILU is a good smoother for the incompressible Navier-Stokes equations discretized on general non-orthogonal curvilinear grids.

KEY WORDS Navier-Stokes equations Multigrid method Smoothing method ILU factorization General co-ordinates

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