Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem

MAURICIO ANDRES BARRIENTOS BARRIA, Gabriel N. Gatica, Rodolfo Rodríguez, Marcela E. Torrejón

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

A coupled finite/boundary element method to approximate the free vibration modes of an elastic structure containing an incompressible fluid is analyzed in this paper. The effect of the fluid is taken into account by means of one of the most usual procedures in engineering practice: an added mass formulation, which is posed in terms of boundary integral equations. Piecewise linear continuous elements are used to discretize the solid displacements and the fluid-solid interface variables. Spectral convergence is proved and error estimates are settled for the approximate eigenfunctions and their corresponding vibration frequencies. Implementation issues are also discussed and numerical experiments are reported.

Original languageEnglish
Pages (from-to)653-672
Number of pages20
JournalESAIM: Mathematical Modelling and Numerical Analysis
Volume38
Issue number4
DOIs
StatePublished - Jul 2004
Externally publishedYes

Keywords

  • Added mass
  • BEM/FEM
  • Fluid-structure interaction
  • Hydroelasticity

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