Axisymmetric acoustic scattering by vortices

Y. Hattori, Stefan G. LLewellyn Smith

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

The scattering of acoustic waves by compact three-dimensional axisymmetric vortices is studied using direct numerical simulation in the case where the incoming wave is aligned with the symmetry axis and the direction of propagation of the vortices. The cases of scattering by Hill's spherical vortex and Gaussian vortex rings are examined, and results are compared with predictions obtained by matched asymptotic expansions and the Born approximation. Good agreement is obtained for long waves, with the Born approximation usually giving better predictions, especially as the difference in scale between vortex and incoming waves decreases and as the Mach number of the flow increases. An improved version of the Born approximation which takes into account higher-order effects in Mach number gives the best agreement.

Original languageEnglish
Pages (from-to)275-294
Number of pages20
JournalJournal of Fluid Mechanics
Issue number473
DOIs
Publication statusPublished - 2002 Dec 25
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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