Boundary Element and Finite Element Coupling for Aeroacoustics Simulations

Nolwenn Balin (1) , Fabien Casenave (1, 2) , François Dubois (3) , Eric Duceau (4) , Stefan Duprey (1, 5) , Isabelle Terrasse (1)

1 Airbus Group Innovations [Suresnes]
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
3 LMSSC - Laboratoire de Mécanique des Structures et des Systèmes Couplés
4 Airbus Group Innovations
5 CORIDA - Robust control of infinite dimensional systems and applications

We consider the scattering of acoustic perturbations in a presence of a flow. We suppose that the space can be split into a zone where the flow is uniform and a zone where the flow is potential. In the first zone, we apply a Prandtl-Glauert transformation to recover the Helmholtz equation. The well-known setting of boundary element method for the Helmholtz equation is available. In the second zone, the flow quantities are space dependent, we have to consider a local resolution, namely the finite element method. Herein, we carry out the coupling of these two methods and present various applications and validation test cases. The source term is given through the decomposition of an incident acoustic field on a section of the computational domain's boundary.

Mots clés: Prandtl-Glauert transformation; Helmholtz equation; integral method

Domaines: Analyse numérique [math.NA]; Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Nolwenn Balin, Fabien Casenave, François Dubois, Eric Duceau, Stefan Duprey, et al.. Boundary Element and Finite Element Coupling for Aeroacoustics Simulations. [Research Report] Airbus. 2014. ⟨hal-00944696v2⟩