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Performance of certain iterative methods in solving implicit difference schemes for 2‐D Navier–Stokes equations
Author(s) -
Iliev O. P.,
Makarov M. M.,
Vassilevski P. S.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620330707
Subject(s) - pointwise , mathematics , discretization , conjugate gradient method , navier–stokes equations , iterative method , finite difference method , finite difference , matrix (chemical analysis) , mathematical analysis , mathematical optimization , compressibility , materials science , engineering , composite material , aerospace engineering
The performance of three iterative methods, local SOR, preconditioned generalized conjugate gradient methods such as ORTHOMIN(1) and the GCG–LS method with preconditioning matrices derived by incomplete (modified and unmodified) pointwise factorizations of the matrix corresponding to implicit finite difference schemes for the 2‐D Navier–Stokes equations, is compared. The relative merits of these methods in terms of CPU time, average number of iterations with respect to the Reynolds number and discretization parameters are emphasized.