Finite element analysis of compressible and incompressible fluid-solid systems

Bermúdez A.; Duran, R; Rodriguez, R

Abstract

This paper deals with a finite element method to solve interior fluid-structure vibration problems valid for compressible and incompressible fluids. It is based on a displacement formulation for both the fluid and the solid. The pressure of the fluid is also used as a variable for the theoretical analysis yielding a well posed mixed linear eigenvalue problem. Lowest order triangular Raviart-Thomas elements are used for the fluid and classical piece-wise linear elements for the solid. Transmission conditions at the fluid-solid interface are taken into account in a weak sense yielding a nonconforming discretization. The method does not present spurious or circulation modes for nonzero frequencies. Convergence is proved and error estimates independent of the acoustic speed are given. For incompressible fluids, a convenient equivalent stream function formulation and a post-process to compute the pressure are introduced.

Más información

Título de la Revista: MATHEMATICS OF COMPUTATION
Volumen: 67
Número: 221
Editorial: AMER MATHEMATICAL SOC
Fecha de publicación: 1998
Página de inicio: 111
Página final: 136
URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-0040348609&partnerID=q2rCbXpz
DOI:

10.1090/S0025-5718-98-00901-6