Isogeometric locally-conformal perfectly matched layer for time-harmonic acoustics

2021 ◽  
Vol 384 ◽  
pp. 113925
Author(s):  
Yongzhen Mi ◽  
Xiang Yu
Keyword(s):  
Perfectly Matched Layer ◽  
Time Harmonic ◽  
Locally Conformal

An isogeometric formulation of locally-conformal perfectly matched layer for acoustic scattering problems

2021 ◽  
Vol 263 (6) ◽  
pp. 829-833
Author(s):  
Yongzhen Mi ◽  
Xiang Yu
Keyword(s):  
Acoustic Scattering ◽  
Perfectly Matched Layer ◽  
Real Space ◽  
Three Dimensions ◽  
Sound Waves ◽  
Computational Accuracy ◽  
Scattering Problems ◽  
New Formulation ◽  
Locally Conformal ◽  
Acoustic Scattering Problems

This paper presents an isogeometric formulation of the locally-conformal perfectly matched layer (PML) for time-harmonic acoustic scattering 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. The performance of the isogeometric PML formulation is discussed through several acoustic scattering problems, spanning from one to three dimensions. It is found that the proposed method presents superior computational accuracy, high geometric adaptivity, and good robustness against challenging geometric features. The geometry-preserving ability inherent in the isogeometric framework could bring extra benefits by eliminating geometric errors that are unavoidable in the conventional PML. Meanwhile, these properties are not sensitive to the location of the sound source or the depth of the PML domain.

scholarly journals An Exact Bounded Perfectly Matched Layer for Time-Harmonic Scattering Problems

2008 ◽  
Vol 30 (1) ◽  
pp. 312-338 ◽  
Author(s):  
A. Bermúdez ◽  
L. Hervella-Nieto ◽  
A. Prieto ◽  
R. Rodríguez
Keyword(s):  
Perfectly Matched Layer ◽  
Scattering Problems ◽  
Time Harmonic
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