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Iterative solution of panel method discretizations for potential flow problems. The modal multipolar preconditioning
Author(s) -
D'Elía J.,
Storti M.,
Idelsohn S.
Publication year - 2000
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/(sici)1097-0363(20000115)32:1<1::aid-fld869>3.0.co;2-8
Subject(s) - conjugate gradient method , discretization , iterative method , aerodynamics , modal , mathematics , eigenvalues and eigenvectors , flow (mathematics) , potential flow , mathematical analysis , mathematical optimization , geometry , physics , mechanics , materials science , quantum mechanics , polymer chemistry
The iterative solution of linear systems arising from panel method discretization of three‐dimensional (3D) exterior potential problems coming mainly from aero‐hydrodynamic engineering problems, is discussed. An original preconditioning based on an approximate eigenspace decomposition is proposed, which corrects bad conditioning arising from a pair of surfaces that are very close to each other, which is a very common situation in slender wings and other aerodynamic profiles. This preconditioning has been tested with the standard Bi‐conjugate gradient (Bi‐CG) and conjugate gradient squared (CGS) iterative methods. Copyright © 2000 John Wiley & Sons, Ltd.