Efficient solution of fluid-structure vibration problems Original Research Article

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.