An acoustic space-time and the Lorentz transformation in aeroacoustics

被引：24

作者：

Gregory, Alastair L. ^{[1
,3
]}

Sinayoko, Samuel ^{[2
]}

Agarwal, Anurag ^{[1
]}

Lasenby, Joan ^{[1
]}

机构：

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

[2] Univ Southampton, Inst Sound & Vibrat Res, Southampton SO17 1BJ, Hants, England

[3] Univ Cambridge, Magdalene Coll, Cambridge CB3 0AG, England

来源：

INTERNATIONAL JOURNAL OF AEROACOUSTICS | 2015年 / 14卷 / 07期

关键词：

MATHEMATICAL LANGUAGE; SOUND RADIATION; MODEL; PROPELLER;

D O I：

10.1260/1475-472X.14.7.977

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper we introduce concepts from relativity and geometric algebra to aeroacoustics, We do this using an acoustic space-time transformation within the framework of sound propagation in uniform flows. By using Geometric Algebra we are able to provide a simple geometric interpretation of the space-time transformation, and are able to give neat and lucid derivations of the free-field Green's function for the convected wave equation and the Doppler shift for a stationary observer and a source in uniform rectilinear motion in a uniform flow.

引用

页码：977 / 1003

页数：27

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