Studies on the motion and decay of a vortex filament

Purchase on Springer.com

$29.95 / €24.95 / £19.95*

* Final gross prices may vary according to local VAT.

Get Access

Abstract

A review of asymptotic analyses for the study of the motion and decay of a vortex filament submerged in a background potential flow is presented. Emphasis is placed on physical intuitions motivating the analyses and on the physical interpretation of the asymptotic solutions. The extension of the analyses to a vortex filament submerged in a rotational flow is outlined.

The asymptotic analyses identify various canonical problems which require numerical solutions of the Navier-Stokes equations. These numerical studies in turn initiate new theoretical analyses.