AILU preconditioning for the finite element formulation of the incompressible Navier-Stokes equations

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In this paper, the effect of a variable reordering method on the performance of adapted incomplete LU (AILU) preconditioners applied to the P2P1 mixed finite element discretization of the three-dimensional unsteady incompressible Navier-Stokes equations has been studied through numerical experiments, where eigenvalue distribution and convergence histories are examined. It has been revealed that the performance of an AILU preconditioner is improved by adopting a variable reordering method which minimizes the bandwidth of a globally assembled saddle-point type matrix. Furthermore, variants of the existing AILU(1) preconditioner have been suggested and tested for some three-dimensional flow problems. It is observed that the AILU(2) outperforms the existing AILU(1) with a little extra computing time and memory.
Publisher
ELSEVIER SCIENCE SA
Issue Date
2002
Language
English
Article Type
Article
Citation

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.191, no.39-40, pp.4323 - 4339

ISSN
0045-7825
DOI
10.1016/S0045-7825(02)00369-9
URI
http://hdl.handle.net/10203/286262
Appears in Collection
ME-Journal Papers(저널논문)
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