A wave-oriented meshless formulation for acoustical and vibro-acoustical applications

被引：27

作者：

Bouillard, P ^{[1
]}

Lacroix, V ^{[1
]}

De Bel, E ^{[1
]}

机构：

[1] Free Univ Brussels, Dept Struct & Mat Computat Mech, Brussels, Belgium

来源：

WAVE MOTION | 2004年 / 39卷 / 04期

关键词：

vibro-acoustics; meshless methods; dispersion error; medium frequencies;

D O I：

10.1016/j.wavemoti.2003.12.003

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Simulating acoustical or vibro-acoustical waves within the medium frequency range is still an open problem today. In this paper, we first demonstrate that it is possible to formulate an improved element-free Galerkin method (I-EFGM) for the uncoupled acoustical problem applied to three-dimensional complex geometries. Then, we develop a partition of unity formulation extended for the elastodynamics (PUM-dyn). Finally, by coupling both formulations with an appropriate formulation for 2D vibro-acoustical coupled problems, we demonstrate that an I-EFGM coupled to the PUM-dyn seems to be an excellent way to reach the medium frequencies accurately and with an acceptable CPU time. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：295 / 305

页数：11

共 25 条

[1]

Babuska I, 1997, INT J NUMER METH ENG, V40, P727, DOI 10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO

[2]

2-N

[3] ELEMENT-FREE GALERKIN METHODS [J].

BELYTSCHKO, T ;

LU, YY ;

GU, L .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256

[4] Error estimation and adaptivity for the finite element method in acoustics: 2D and 3D applications [J].

Bouillard, P ;

Ihlenburg, F .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 176 (1-4) :147-163

[5] Element-Free Galerkin solutions for Helmholtz problems: formulation and numerical assessment of the pollution effect [J].

Bouillard, P ;

Suleau, S .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 162 (1-4) :317-335

[6]

BOUILLARD P, 2002, REV EUROPEENNE ELEME, V11, P947

[7]

Chadwick E, 1997, INT J NUMER METH ENG, V40, P3229, DOI 10.1002/(SICI)1097-0207(19970915)40:17<3229::AID-NME209>3.0.CO

[8]

2-8

[9]

DEBEL E, UNPUB INT J NUMER ME

[10]

DECOUVREUR V, IN PRESS J SOUND VIB

← 1 2 3 →