Efficient solution of fluid-structure vibration problems

This paper deals with the numerical computation of elastoacoustic vibration modes. We consider a redundant description of the fluid by means of pressure and displacement potential variables introduced by Morand and Ohayon. We analyze a finite element discretization leading to a well posed symmetric banded eigenvalue problem. An iterative algorithm requiring to solve sparse linear systems with one: degree of freedom per fluid node is obtained. We show that, for acoustic models, this method coincides with a consistent discretization of the standard potential formulation. Numerical experiments are included to validate the proposed methodology for elastoacoustic vibrations. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.