Open Access3D Simulation of acoustic waves propagating through porous domain using PUFEM tetrahedral elements
Author(s) -
Mingming Yang,
Cyrille Breard,
Yipeng Cen,
JeanDaniel Chazot
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1605/1/012016
Subject(s) - tetrahedron , finite element method , lagrange multiplier , porosity , porous medium , homogeneous , sound pressure , acoustics , frequency domain , computer science , partition (number theory) , computer simulation , mathematical optimization , materials science , mathematics , engineering , mathematical analysis , structural engineering , physics , geometry , simulation , statistical physics , combinatorics , composite material
Partition of Unity Finite Element Method is one of the new deterministic prediction techniques developed for tackling medium and high frequency wave problems, because it has the overwhelming advantage over traditional Finite Element Method due to its high efficiency and low computational cost properties. In this paper, PUFEM is further developed to simulate the 3D sound pressure field where porous material is included and modeled as an equivalent homogeneous fluid. Lagrange multipliers are applied at the air and porous material interface. The performance and efficiency of the established numerical model using 3D PUFEM elements are analyzed, it is shown that PUFEM technique can effectively reduce the computational burden while still maintaining the sufficient accuracy for the simulation results of 3D acoustic problems.