Numerical study of sound radiation by axisymmetric vortex rings

Elie Rivoalen*, Serge Huberson, Omar M. Knio

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The sound production by vortex rings is investigated by means of an axisymmetric vortex particle method. The predictions are first calibrated by analyzing the noise generated by steady vortex rings that are described by the analytical solutions of Fraenkel and Norbury. The noise produced by isolated vortex rings for both nominally steady and unsteady cores is then analyzed. For nominally steady cores, computed results indicate that the efficiency of sound radiation decreases as the slenderness parameter is reduced, and the acoustic signals reveal a dominant period that is approximately half the eddy turnover time. For unsteady cores, the amplitude of the radiated sound is substantially higher than that of similar steady rings. When the initial core vorticity distribution is nonuniform, complex internal motion may also occur within the core which is also reflected in the corresponding far-field acoustic signal. Finally, the effect of vortex stretching is analyzed based on computations of two coaxial corotating vortex rings.

Original languageEnglish (US)
Pages (from-to)11-45
Number of pages35
JournalJournal of Computational Acoustics
Issue number1
StatePublished - Mar 2003
Externally publishedYes


  • Particle method
  • Sound radiation
  • Vortex noise
  • Vortex rings

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Applied Mathematics


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