TY - GEN
T1 - An isogeometric formulation of locally-conformal perfectly matched layer for acoustic radiation problems
AU - Mi, Yongzhen
AU - Yu, Xiang
N1 - Funding Information:
This research is supported by the Career Development Award of Singapore Agency for Science, Technology and Research (grant No. A1820g0092).
Publisher Copyright:
© INTER-NOISE 2021 .All right reserved.
PY - 2021/8
Y1 - 2021/8
N2 - This paper presents an isogeometric formulation of the locally-conformal perfectly matched layer (PML) for time-harmonic acoustic radiation problems. The new formulation is a generalization of the conventional locally-conformal PML, in which the NURBS patch supporting the PML domain is transformed from real space to complex space. This is achieved by complex coordinate stretching, based on a stretching vector field indicating the directions in which incident sound waves are absorbed. Due to its form-invariant nature, the Helmholtz equation which governs time-harmonic acoustics is kept unchanged in the complex space. The performance of the isogeometric PML formulation is discussed through a three-dimensional acoustic radiation problem. The simulation results demonstrate that the proposed method can correctly capture the fluctuation of sound pressure radiated by a vibrating object with complex geometry.
AB - This paper presents an isogeometric formulation of the locally-conformal perfectly matched layer (PML) for time-harmonic acoustic radiation problems. The new formulation is a generalization of the conventional locally-conformal PML, in which the NURBS patch supporting the PML domain is transformed from real space to complex space. This is achieved by complex coordinate stretching, based on a stretching vector field indicating the directions in which incident sound waves are absorbed. Due to its form-invariant nature, the Helmholtz equation which governs time-harmonic acoustics is kept unchanged in the complex space. The performance of the isogeometric PML formulation is discussed through a three-dimensional acoustic radiation problem. The simulation results demonstrate that the proposed method can correctly capture the fluctuation of sound pressure radiated by a vibrating object with complex geometry.
UR - http://www.scopus.com/inward/record.url?scp=85117379726&partnerID=8YFLogxK
U2 - 10.3397/IN-2021-1660
DO - 10.3397/IN-2021-1660
M3 - Conference article published in proceeding or book
AN - SCOPUS:85117379726
T3 - Proceedings of INTER-NOISE 2021 - 2021 International Congress and Exposition of Noise Control Engineering
BT - Proceedings of INTER-NOISE 2021 - 2021 International Congress and Exposition of Noise Control Engineering
A2 - Dare, Tyler
A2 - Bolton, Stuart
A2 - Davies, Patricia
A2 - Xue, Yutong
A2 - Ebbitt, Gordon
PB - The Institute of Noise Control Engineering of the USA, Inc.
T2 - 50th International Congress and Exposition of Noise Control Engineering, INTER-NOISE 2021
Y2 - 1 August 2021 through 5 August 2021
ER -