On the use of the Variational Theory of Complex Rays for the analysis of 2-D exterior Helmholtz problem in an unbounded domain

被引：3

作者：

Kovalevsky, L. ^{[2
]}

Riou, H. ^{[1
]}

Ladeveze, P. ^{[1
]}

机构：

[1] PRES Univ Sud Paris, Univ Paris 06, CNRS, ENS Cachan,LMT Cachan, F-94230 Cachan, France

[2] Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, England

来源：

WAVE MOTION | 2013年 / 50卷 / 03期

关键词：

VTCR; Mid-frequency; Vibration; Acoustics; Unbounded domains; Scattering problems; FINITE-ELEMENT-METHOD; WAVE-FUNCTIONS; GALERKIN; EQUATION; FORMULATION; VIBRATIONS; SCATTERING; VERSION;

D O I：

10.1016/j.wavemoti.2012.10.005

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Recently, a new type of numerical technique called the Variational Theory of Complex Rays (VTCR) was proposed for the efficient solution of the acoustic Helmholtz equation in the medium frequency regime. However this method was fully developed only for bounded domains. In this paper, the VTCR is extended to exterior Helmholtz problems in order to expand its scope to practical acoustic scattering problems. Results for two-dimensional problems with short wavelengths and a comparison with standard reference methods show that this numerical strategy can be of great interest for these types of problems. (c) 2012 Elsevier B.V. All rights reserved.

引用

页码：428 / 436

页数：9

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