Iterative solution of panel method discretizations for potential flow problems. The modal multipolar preconditioning
✍ Scribed by J. D'Elía; M. Storti; S. Idelsohn
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 319 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
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.