Abstract
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 language | English (US) |
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Pages (from-to) | 3251-3254 |
Number of pages | 4 |
Journal | Physics of Fluids |
Volume | 15 |
Issue number | 10 |
DOIs | |
State | Published - Oct 2003 |
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Fluid Flow and Transfer Processes