Wave propagation in advected acoustics within a non-uniform medium under the effect of gravity

S. Abarbanel; A. Ditkowski

doi:10.1016/j.apnum.2014.04.003

Wave propagation in advected acoustics within a non-uniform medium under the effect of gravity

S. Abarbanel, A. Ditkowski

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We investigate linear wave propagation in non-uniform medium under the influence of gravity. Unlike the case of constant properties medium here the linearized Euler equations do not admit a plane-wave solution. Instead, we find a "pseudo-plane-wave". Also, there is no dispersion relation in the usual sense. We derive explicit analytic solutions (both for acoustic and vorticity waves) which, in turn, provide some insights into wave propagation in the non-uniform case.

Original language	English
Pages (from-to)	61-68
Number of pages	8
Journal	Applied Numerical Mathematics
Volume	93
DOIs	https://doi.org/10.1016/j.apnum.2014.04.003
State	Published - Jul 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2014 IMACS.

Keywords

Acoustic waves
Vorticity waves
Wave propagation

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10.1016/j.apnum.2014.04.003

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KW - Vorticity waves

KW - Wave propagation

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Wave propagation in advected acoustics within a non-uniform medium under the effect of gravity

Abstract

Bibliographical note

Keywords

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