Numerical detection of a new instability mode of a vortex ring

Yuji Hattori, Yasuhide Fukumoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The instability of a vortex ring is studied by direct numerical simulation of the Naviev-Stokes equations. First we consider a vortex ring in a periodic cylindrical domain. The Widnall instability of bending waves is ohseived clearly. Next we consider a vortex ring confined in a torus. A novel method for solving the Navier-Stokes equations with high accuracy in a fonts is developed and used in the simulation. The curvature instability, which is found by the authors recently, is captured for the first time. The growth rate of unstable modes agrees well with the value obtained by linear stability analysis. The structure of destabilized vortex ring is investigated in detail.

Original languageEnglish
Title of host publication2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007
Pages1111-1118
Number of pages8
EditionPART B
DOIs
Publication statusPublished - Dec 1 2007
Event2007 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007 - San Diego, CA, United States
Duration: Jul 30 2007Aug 2 2007

Publication series

Name2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007
NumberPART B
Volume1 SYMPOSIA

Other

Other2007 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007
CountryUnited States
CitySan Diego, CA
Period7/30/078/2/07

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All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Condensed Matter Physics

Cite this

Hattori, Y., & Fukumoto, Y. (2007). Numerical detection of a new instability mode of a vortex ring. In 2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007 (PART B ed., pp. 1111-1118). (2007 Proceedings of the 5th Joint ASME/JSME Fluids Engineering Summer Conference, FEDSM 2007; Vol. 1 SYMPOSIA, No. PART B). https://doi.org/10.1115/FEDSM2007-37138