High-order X-FEM for the simulation of sound absorbing poro-elastic materials with coupling interfaces

In this paper, the acoustic field with presence of poro-elastic materials is simulated by eXtended Finite Element Method (X-FEM). Problems involving interfaces between different media are our main focus. The proposed method allows to be embedded in finite elements, easing significantly discretization, especially when geometry interface complex. gradient discontinuity at handled through ridge enrichment function. strategies spatial discretization for two types coupling provided. A high-order approximation used improve rate convergence Biot mixed formulation (us,p) and eliminate pollution effect high frequencies. verification performed benchmarks. Convergences solutions exhibit capability accuracy present under conditions: types, geometric complexity a wide range frequency. applicability advantage practical situations demonstrated car cavity problem where part modified without re-meshing. This paper demonstrates that X-FEM an efficient computational approach analysing sound-absorbing complex geometries.