Iterative solution of panel method discretizations for 3D potential flow problems. The modal multipolar preconditioning

Jorge D'Elía, Mario Alberto Storti, Sergio R. Idelsohn


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 peconditioning 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
aerodynamoc profiles. This preconditioning has been tested with the
standard Bi-Conjugate Gradient (BCG) and Conjugate Gradient Squared
(CGS) iterative methods.

Full Text: