Nitsche-XFEM for pressure jump interface condition in vibro-acoustic problems in presence of porous materials

Shaoqi Wu (1, 2) , Grégory Legrain (1, 2) , Olivier Dazel (3, 4)

1 GeM - Institut de Recherche en Génie Civil et Mécanique
2 Nantes Univ - ECN - École Centrale de Nantes
3 LAUM - Laboratoire d'Acoustique de l'Université du Mans
4 UM - Le Mans Université

We present a variational formulation based on the idea of Nitsche's method to account for thin layers in acoustic problems. Pressure jump model of robin-type condition is used to model the effects of thin acoustic layers. The computational domain is discretized using eXtended Finite Element Method (X-FEM) to represent the discontinuity in the elements and to mitigate the meshing restriction for complex geometry of interfaces. The porous materials with complex-valued propertis are also considered in current work, which introduce an energy dissipation in the system.

Mots clés: Nitsche's method; X-FEM; vibroacoustic; porous materials; Nitsche's method

Domaines: Mécanique des structures [physics.class-ph]

Shaoqi Wu, Grégory Legrain, Olivier Dazel. Nitsche-XFEM for pressure jump interface condition in vibro-acoustic problems in presence of porous materials. 15e colloque national en calcul des structures, Université Polytechnique Hauts-de-France [UPHF], May 2022, Hyères-les-Palmiers, France. ⟨hal-03718306⟩