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

School of Mathematical Sciences

Tel Aviv University

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

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

Keywords

Acoustic waves
Vorticity waves
Wave propagation

All Science Journal Classification (ASJC) codes

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/j.apnum.2014.04.003

Cite this

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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.",

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N2 - 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.

AB - 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.

KW - Acoustic waves

KW - Vorticity waves

KW - Wave propagation

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DO - 10.1016/j.apnum.2014.04.003

M3 - مقالة

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JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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