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An ILU smoother for the incompressible Navier‐Stokes equations in general co‐ordinates
Author(s) -
Zeng S.,
Wesseling P.
Publication year - 1995
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650200104
Subject(s) - multigrid method , curvilinear coordinates , navier–stokes equations , discretization , mathematics , compressibility , robustness (evolution) , pressure correction method , computational fluid dynamics , mathematical analysis , geometry , partial differential equation , physics , mechanics , biochemistry , chemistry , gene
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 experments. The results show that CILU is a good smoother for the incompressible Navier‐Stokes equations discretized on general non‐orthogonal curvilinear grids.