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

S. Abarbanel, A. Ditkowski

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)61-68
Number of pages8
JournalApplied Numerical Mathematics
Volume93
DOIs
StatePublished - Jul 2015

Keywords

  • Acoustic waves
  • Vorticity waves
  • Wave propagation

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