On the identification of a vortex

Jinhee JEong, Fazle Hussain

Research output: Contribution to journalArticlepeer-review

5618 Scopus citations


A definition of a vortex in incompressible flow in terms of the eigenvalues of the symmetric tensor S2 + Ω2 was proposed. This definition captures the pressure minimum in a plane perpendicular to the vortex axis at high Reynolds numbers, and also accurately defines vortex cores at low Reynolds numbers, unlike a pressure-minimum criterion. This definition was compared with prior schemes/definitions using exact and numerical solutions of the Euler and Navier-Stokes equations for a variety of laminar and turbulent flows. It accurately identifies the vortex core in flows where the vortex geometry is intuitively clear.

Original languageEnglish (US)
Pages (from-to)69-94
Number of pages26
JournalJournal of Fluid Mechanics
StatePublished - Feb 1995

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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