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.
Mots-clés : fluid-structure interaction, hydroelasticity, added mass, BEM/FEM
@article{M2AN_2004__38_4_653_0,
author = {Barrientos, Mauricio A. and Gatica, Gabriel N. and Rodr{\'\i}guez, Rodolfo and Torrej\'on, Marcela E.},
title = {Analysis of a coupled {BEM/FEM} eigensolver for the hydroelastic vibrations problem},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {653--672},
publisher = {EDP-Sciences},
volume = {38},
number = {4},
year = {2004},
doi = {10.1051/m2an:2004028},
mrnumber = {2087728},
zbl = {1077.74054},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an:2004028/}
}
TY - JOUR AU - Barrientos, Mauricio A. AU - Gatica, Gabriel N. AU - Rodríguez, Rodolfo AU - Torrejón, Marcela E. TI - Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2004 SP - 653 EP - 672 VL - 38 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2004028/ DO - 10.1051/m2an:2004028 LA - en ID - M2AN_2004__38_4_653_0 ER -
%0 Journal Article %A Barrientos, Mauricio A. %A Gatica, Gabriel N. %A Rodríguez, Rodolfo %A Torrejón, Marcela E. %T Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem %J ESAIM: Modélisation mathématique et analyse numérique %D 2004 %P 653-672 %V 38 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2004028/ %R 10.1051/m2an:2004028 %G en %F M2AN_2004__38_4_653_0
Barrientos, Mauricio A.; Gatica, Gabriel N.; Rodríguez, Rodolfo; Torrejón, Marcela E. Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem. ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 4, pp. 653-672. doi : 10.1051/m2an:2004028. http://www.numdam.org/articles/10.1051/m2an:2004028/
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