Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance

Xie，Xiang1,2,4; Wang，Wei1,3; He，Kai1,2; Li，Guanglin1,3

2022-10-01

10.1016/j.cma.2022.115618

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING   Impact Factor & Quartile

0045-7825

1879-2138

This paper presents a newly developed fast model order reduction boundary element method (FMORBEM) for three-dimensional acoustic wave problems with the impedance boundary condition at relatively high frequencies. This method proceeds in two phases: a precomputation phase and a solution phase. In the precomputation phase, a simple yet powerful cutoff technique which benefits from the amplitude decay property of the kernel functions in the Burton–Miller formulation is proposed. Because it does not operate on the underlying boundary element full-order model (FOM), the computational cost and memory consumption in the process of offline constructing a proper subspace are nearly O(N) complexity with N being the number of degrees of freedom of the FOM. After that, the complete system matrices are computed and projected onto the spanned subspace column-by-column, yielding acceptable computational complexity of O(N). In the solution phase, the resulting reduced-order model (ROM) allows for efficient storage and fast analyses, which merely requires O(n) arithmetic operations by using direct solvers with n being the dimension of the ROM. Application of this method to the high-frequency scattering analyses of acoustic systems, i.e. simple sphere models and complex scatterers, shows the improved computational efficiency and reduced memory requirement as compared to the conventional boundary element method and further illustrates that it may be competitive with the fast multipole method based on iterative solvers.

Boundary element method Fast model order reduction High-frequency scattering Impedance surface Memory saving

SCI

English

Corresponding

National Natural Science Foundation of China[12002146];China Academy of Space Technology[2021QNRC001];Shanghai International Science and Technology[2022A0505030001];

Engineering ; Mathematics ; Mechanics

Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics

WOS:000861490000004

ELSEVIER SCIENCE SA

COMPUTER SCIENCE

2-s2.0-85138118884

Scopus

1.Shenzhen Institute of Advanced Technology,Chinese Academy of Sciences,Shenzhen,518055,China
2.Shenzhen Key Laboratory of Precision Engineering,Shenzhen,518055,China
3.Guangdong-Hong Kong-Macau Joint Laboratory of Human-Machine Intelligence-Synergy Systems,Shenzhen,518055,China
4.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Xie，Xiang,Wang，Wei,He，Kai,et al. Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2022,400.

Xie，Xiang,Wang，Wei,He，Kai,&Li，Guanglin.(2022).Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,400.

Xie，Xiang,et al."Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 400(2022).