an:01591304
Zbl 1033.74046
Mellado, Mario; Rodr??guez, Rodolfo
Efficient solution of fluid-structure vibration problems
EN
Appl. Numer. Math. 36, No. 4, 389-400 (2001).
00073201
2001
j
74S05 74F10
pressure-potential formulation; shift-and-invert eigensolver; elastoacoustic vibration modes; finite element discretization; well-posed symmetric banded eigenvalue problem; iterative algorithm; sparse linear systems
Summary: This paper deals with numerical computation of elastoacoustic vibration modes. We consider a redundant description of the fluid by means of pressure and displacement potential variables. 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 validate the proposed methodology for elastoacoustic vibrations.