Abstract

Simulating acoustical or vibro-acoustical waves within the medium frequency range is still an open problem today. In this paper, we first demonstrate that it is possible to formulate an improved element-free Galerkin method ( I- EFGM) for the uncoupled acoustical problem applied to three-dimensional complex geometries. Then, we develop a partition of unity formulation extended for the elastodynamics ( PUM- dyn). Finally, by coupling both formulations with an appropriate formulation for 2D vibro-acoustical coupled problems, we demonstrate that an I- EFGM coupled to the PUM- dyn seems to be an excellent way to reach the medium frequencies accurately and with an acceptable CPU time.

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