Numerical study of the Eulerian-Lagrangian formulation of the Navier-Stokes equations

K. Ohkitani, Peter Constantin

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


An Euler-Lagrangian analysis of the Navier-Stokes equations is performed with use of numerical simulations. On this basis we propose a new method for capturing vortex reconnection. It is found that the diffusive Lagrangian map becomes noninvertible under time evolution and requires resetting for its calculation. This sets a time scale and its frequent resetting corresponds to vortex reconnection. Another time scale defined by the connection coefficients, responsible for noncommutativity of Enter and Euler-Lagrange derivatives, is shown to be on the same order during reconnection. This introduces a novel singular perturbation problem of connection anomaly underlying reconnection.

Original languageEnglish (US)
Pages (from-to)3251-3254
Number of pages4
JournalPhysics of Fluids
Issue number10
StatePublished - Oct 2003

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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