Finite element analysis of compressible and incompressible fluid-solid systems
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 |