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Acoustic modelling by BEM-FEM coupling procedures taking into account explicit and implicit multi-domain decomposition techniques. (English) Zbl 1183.76828

Summary: The numerical modelling of interacting acoustic media by boundary element method-finite element method (BEM-FEM) coupling procedures is discussed here, taking into account time-domain approaches. In this study, the global model is divided into different sub-domains and each sub-domain is analysed independently (considering BEM or FEM discretizations): the interaction between the different sub-domains of the global model is accomplished by interface procedures. Numerical formulations based on FEM explicit and implicit time-marching schemes are discussed, resulting in direct and optimized iterative BEM-FEM coupling techniques. A multi-level time-step algorithm is considered in order to improve the flexibility, accuracy and stability (especially when conditionally stable time-marching procedures are employed) of the coupled analysis. At the end of the paper, numerical examples are presented, illustrating the potentialities and robustness of the proposed methodologies.

MSC:

76M15 Boundary element methods applied to problems in fluid mechanics
76M10 Finite element methods applied to problems in fluid mechanics
76Q05 Hydro- and aero-acoustics
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