A low-Mach number model for time-harmonic acoustics in arbitrary flows

被引：9

作者：

Bonnet-Ben Dhia, A. S. ^{[1
,2
]}

Mercier, J. F. ^{[1
]}

Millot, F. ^{[2
]}

Pernet, S. ^{[2
]}

机构：

[1] CNRS INRIA ENSTA UMR 7231, POEMS, F-75015 Paris, France

[2] CERFACS, F-31057 Toulouse 01, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 06期

关键词：

Aeroacoustics; Scattering of sound in flows; Low-Mach number model; Galbrun's equation; Fredholm alternative; Finite elements; EQUATIONS;

D O I：

10.1016/j.cam.2009.08.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the finite element simulation of the diffraction of a time-harmonic acoustic wave in the presence of an arbitrary mean flow. Considering the equation for the perturbation of displacement (due to Galbrun), we derive a low-Mach number formulation of the problem which is proved to be of Fredholm type and is therefore well suited for discretization by classical Lagrange finite elements. Numerical experiments are done in the case of a potential flow for which an exact approach is available, and a good agreement is observed. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1868 / 1875

页数：8

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