Singularity formation in threedimensional inviscid flow
Abstract
A phenomenological model to explain finite time singularity formation in a threedimensional inviscid vorticity field is given. The thin filament approximation for a vorticity field is used, and the model is based on the threedimensional interaction of two approximately straight vortex filaments. It is shown that the model has a solution which exhibits finite time singularity formation in a vorticity field.
 Publication:

Fluid Dynamics Research
 Pub Date:
 August 1991
 DOI:
 10.1016/01695983(91)90016C
 Bibcode:
 1991FlDyR...7..229F
 Keywords:

 Inviscid Flow;
 Singularity (Mathematics);
 Three Dimensional Flow;
 Vortex Filaments;
 Vorticity;
 Points (Mathematics);
 Stretching;
 Vortices;
 Fluid Mechanics and Heat Transfer