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A fast BE‐FE coupling scheme for partly immersed bodies
Author(s) -
Brunner Dominik,
Of Günther,
Junge Michael,
Steinbach Olaf,
Gaul Lothar
Publication year - 2009
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2672
Subject(s) - boundary element method , finite element method , multipole expansion , coupling (piping) , solver , fluid–structure interaction , space (punctuation) , domain (mathematical analysis) , dirichlet distribution , convergence (economics) , boundary value problem , boundary (topology) , mathematics , mathematical analysis , computer science , physics , mathematical optimization , structural engineering , engineering , mechanical engineering , quantum mechanics , economics , economic growth , operating system
Fluid–structure coupled problems are investigated to predict the vibro‐acoustic behavior of submerged bodies. The finite element method is applied for the structural part, whereas the boundary element method is used for the fluid domain. The focus of this paper is on partly immersed bodies. The fluid problem is favorably modeled by a half‐space formulation. This way, the Dirichlet boundary condition on the free fluid surface is incorporated by a half‐space fundamental solution. A fast multipole implementation is presented for the half‐space problem. In case of a high density of the fluid, the forces due to the acoustic pressure, which act on the structure, cannot be neglected. Thus, a strong coupling scheme is applied. An iterative solver is used to handle the coupled system. The efficiency of the proposed approach is discussed using a realistic model problem. Copyright © 2009 John Wiley & Sons, Ltd.