A low-high frequency formulation for fast acoustic calculations

Sébastien Besset (1)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

Noise predictions in acoustic cavities lead to different formulations in low or high frequency ranges. In the case of fast calculations, we propose a mixed formulation based on a finite element mesh including a "high frequency energy degree of freedom" to predict high frequency phenomena. The mesh size is planned for studying low-(medium) frequency range phenomena through a classical finite element method. The same mesh is used to build energy elements to take into account the (medium)-high frequency range phenomena. The method aims at performing low-cost calculations in medium-high frequency ranges using low-frequency-based existing meshes, i.e. without re-meshing the system.

Mots clés: Energy methods; large frequency range problems

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]; Vibrations [physics.class-ph]; Vibrations [physics.class-ph]; Acoustique [physics.class-ph]; Acoustique [physics.class-ph]; Mécanique [physics.med-ph]

Sébastien Besset. A low-high frequency formulation for fast acoustic calculations. Journal of Computational Acoustics, 2012, 20 (3), pp.1250011. ⟨10.1142/S0218396X12500117⟩. ⟨hal-00989365⟩