Open AccessDevelopment of Partition of Unity Finite Element Method for the Modelling of Acoustic Waves Propagating through Porous Domain
Author(s) -
Mingming Yang,
Xiao Lei Song,
Cyrille Breard,
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 - 10.1088/1742-6596/1624/3/032026
Subject(s) - finite element method , partition of unity , computation , extended finite element method , partition (number theory) , smoothed finite element method , mathematical analysis , mixed finite element method , frequency domain , computer science , mathematics , mathematical optimization , boundary knot method , physics , algorithm , boundary element method , combinatorics , thermodynamics
The numerical simulation of propagating sound fields in two dimensions using Partition of Unity Finite Element Method(PUFEM) technique is implemented in this work. PUFEM is one of the most practical methods developed to alleviate high computational cost of conventional Finite Element Method when we deal with the medium and high frequency problem. The main idea of PUFEM is to expand the finite element approximation space by incorporating a group of wave functions which are solutions of the governing equation into the target problem. With the intention of further accelerating the computational process, an advanced 2D Exact Integration Technique(EIT) for accelerating the computation process of highly oscillating integrals is proposed and the related PUFEM triangular element is created. The performance and practical interest of this new PUFEM element combined with EIT are evaluated for the wave propagation problem where a porous absorber is included.