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COMPUTATIONAL METHODS FOR ACOUSTICS PROBLEMS
Edited by: F. Magoulès
Domain Decomposition Methods for Fluid Structure Coupling in Vibro-acoustic Problems
F. Magoulès1 and F.-X. Roux2
1Ecole Centrale Paris, Applied Mathematics and Systems Laboratory, Châtenay-Malabry, France
F. Magoulès, F.-X. Roux, "Domain Decomposition Methods for Fluid Structure Coupling in Vibro-acoustic Problems", in F. Magoulès, (Editor), "Computational Methods for Acoustics Problems", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 6, pp 159-180, 2008. doi:10.4203/csets.18.6
Keywords: fluid-structure interaction, vibro-acoustic, coupled problem, non-matching grids, sub-structuring method, domain decomposition method, parallel computing.
This chapter presents sub-structuring and domain decomposition approaches to solve coupled fluid-structure problems with non-matching grids and illustrates the efficiency of these methods when applied to vibro-acoustic problems. The coupling is ensured through the boundary conditions defined along the fluid-structure interface. In contrast with the mortar finite element discretization, the coupled quantities are here integrated over a set of quadrature points defined on the fluid-structure interface. This approach only involves the computation of nodal values and interpolation at given Gauss points which allows any type of hp-refinement.
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