A wave based method to predict the absorption, reflection and transmission coefficient of two-dimensional rigid frame porous structures with periodic inclusions

被引：11

作者：

Deckers, Elke ^{[1
]}

Claeys, Claus ^{[1
]}

Atak, Onur ^{[1
]}

Groby, Jean-Philippe ^{[2
]}

Dazel, Olivier ^{[2
]}

Desmet, Wim ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Mech Engn, B-3001 Heverlee, Belgium

[2] Univ Maine, CNRS, UMR 6613, Acoust Lab,Univ Nantes Angers Le Mans, Ave Olivier Messiaen, F-72085 Le Mans, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2016年 / 312卷

关键词：

Acoustics; Equivalent fluid; Periodic structures; Wave based method; Absorption; Transmission; SOLVING HELMHOLTZ PROBLEMS; TREFFTZ-BASED METHOD; POROELASTIC MATERIALS; SOUND-TRANSMISSION; EFFICIENT SOLUTION; ACOUSTIC PROBLEMS; LAYER; DOMAINS; RESONATORS; TORTUOSITY;

D O I：

10.1016/j.jcp.2016.02.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper presents an extension to the Wave Based Method to predict the absorption, reflection and transmission coefficients of a porous material with an embedded periodic set of inclusions. The porous unit cell is described using the Multi-Level methodology and by embedding Bloch-Floquet periodicity conditions in the weighted residual scheme. The dynamic pressure field in the semi-infinite acoustic domains is approximated using a novel wave function set that fulfils the Helmholtz equation, the Bloch-Floquet periodicity conditions and the Sommerfeld radiation condition. The method is meshless and computationally efficient, which makes it well suited for optimisation studies. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：115 / 138

页数：24

共 43 条

[1]

Allard J.F., 2009, MODELING SOUND ABSOR, V2nd

[2]

Atak O., 2014, THESIS KU LEUVEN

[3] A hybrid Boundary Element-Wave Based Method for an efficient solution of bounded acoustic problems with inclusions [J].

Atak, Onur ;

Jonckheere, Stijn ;

Deckers, Elke ;

Huybrechs, Daan ;

Pluymers, Bert ;

Desmet, Wim .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 283 :1260-1277

[4] A domain decomposition method for the Helmholtz equation and related optimal control problems [J].

Benamou, JD ;

Despres, B .

JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 136 (01) :68-82

[5] A Trefftz based method for solving Helmholtz problems in semi-infinite domains [J].

Bergen, Bart ;

Pluymers, Bert ;

Van Genechten, Bert ;

Vandepitte, Dirk ;

Desmet, Wim .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2012, 36 (01) :30-38

[6]

Bergen B, 2010, CMES-COMP MODEL ENG, V61, P155

[7]

Bloch F., 1929, Z PHYS, V52, P555, DOI [DOI 10.1007/BF01339455, 10.1007/BF01339455]

[8] Acoustic absorption of porous surfacing with dual porosity [J].

Boutin, C ;

Royer, P ;

Auriault, JL .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1998, 35 (34-35) :4709-4737

[9] Theory and experiments on poro-acoustics with inner resonators [J].

Boutin, Claude ;

Becot, Francois Xavier .

WAVE MOTION, 2015, 54 :76-99

[10]

Brillouin L., 1946, Wave Propagation in Periodic Structures, Electric Filters and Crystal Lattices

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