Iterative solution of panel method discretizations for potential flow problems. The modal multipolar preconditioning

D'ELÍA, JORGE; STORTI, MARIO; IDELSHON, SERGIO

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Wiley

Lugar: Oxford; Año: 2000 vol. 32 p. 1 - 27

0271-2091

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. We propose an original preconditioning based on an approximate eigenspace decomposition, that corrects bad conditioning arising from pair of surfaces that are very close from 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 (BCG) and Conjugate Gradient Squared (CGS) iterative methods.