SOME OBSERVATIONS ON THE BEHAVIOR OF THE METHOD OF FUNDAMENTAL SOLUTIONS IN 3D ACOUSTIC PROBLEMS

被引：14

作者：

Godinho, L. M. C. ^{[1
]}

Costa, E. G. A. ^{[2
]}

Pereira, A. S. C. ^{[1
]}

Santiago, J. A. F. ^{[2
]}

机构：

[1] Univ Coimbra, CICC, Dept Civil Engn, P-3030788 Coimbra, Portugal

[2] Univ Fed Rio de Janeiro, Dept Civil Engn, COPPE, BR-21945972 Rio De Janeiro, RJ, Brazil

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2012年 / 9卷 / 04期

关键词：

Acoustics; Method of Fundamental Solutions; Chebyshev collocation points; SVD solver; SCATTERING; MODEL; VICINITY;

D O I：

10.1142/S0219876212500491

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The benchmark problem of room acoustics, consisting on the determination of the three-dimensional (3D) sound field generated by a point source placed within a closed acoustic space is here addressed by means of the Method of Fundamental Solutions (MFS). The focus of this paper is on the behavior of a MFS numerical frequency domain approach with regards to stability, accuracy, and efficiency. Strategies of improving stability and accuracy of the method such as the use of different distributions of collocation points and virtual sources or an singular value decomposition (SVD) solver are also analyzed. It has been found that these strategies allowed increasing accuracy and attaining stability. Comparison with a classical BEM model was also performed, and has shown that the MFS can reach excellent accuracy making use of smaller-sized equation systems.

引用

页数：25

共 21 条

[1] Numerical comparison of two meshfree methods for acoustic wave scattering [J].

Alves, CJS ;

Valtchev, SS .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2005, 29 (04) :371-382

[2]

António J, 2002, ACTA ACUST UNITED AC, V88, P252

[3] A three-dimensional acoustics model using the method of fundamental solutions [J].

Antonio, Julieta ;

Tadeu, Antonio ;

Godinho, Luis .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2008, 32 (06) :525-531

[4] Some comments on the ill-conditioning of the method of fundamental solutions [J].

Chen, CS ;

Cho, HA ;

Golberg, MA .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2006, 30 (05) :405-410

[5] Eigensolutions of multiply connected membranes using the method of fundamental solutions [J].

Chen, JT ;

Chen, IL ;

Lee, YT .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2005, 29 (02) :166-174

[6] Boundary collocation method for acoustic eigenanalysis of three-dimensional cavities using radial basis function [J].

Chen, JT ;

Chang, MH ;

Chen, KH ;

Chen, IL .

COMPUTATIONAL MECHANICS, 2002, 29 (4-5) :392-408

[7] Efficient numerical models for the prediction of acoustic wave propagation in the vicinity of a wedge coastal region [J].

Costa, E. G. A. ;

Godinho, L. ;

Santiago, J. A. F. ;

Pereira, A. ;

Dors, C. .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2011, 35 (06) :855-867

[8] A novel boundary integral formulation for three-dimensional analysis of thin acoustic barriers over an impedance plane [J].

de Lacerda, LA ;

Wrobel, LC ;

Power, H ;

Mansur, WJ .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1998, 104 (02) :671-678

[9] A dual boundary element formulation for sound propagation around barriers over an impedance plane [J].

deLacerda, LA ;

Wrobel, LC ;

Mansur, WJ .

JOURNAL OF SOUND AND VIBRATION, 1997, 202 (02) :235-247

[10] Boundary solution of Poisson's equation using radial basis function collocated on Gaussian quadrature nodes [J].

Elansari, M ;

Ouazar, D ;

Cheng, AHD .

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2001, 17 (07) :455-464

← 1 2 3 →