A simple onedimensional model for the threedimensional vorticity equation
Abstract
A simple qualitative onedimensional model for the threedimensional vorticity equation of incompressible fluid flow is developed. This simple model is solved exactly; despite its simplicity, this equation retains several of the most important structural features in the vorticity equations and its solutions exhibit some of the phenomena observed in numerical computations for breakdown for the threedimensional Euler equations.
 Publication:

Communications in Pure Applied Mathematics
 Pub Date:
 November 1985
 Bibcode:
 1985CPAM...38..715C
 Keywords:

 Computational Fluid Dynamics;
 Euler Equations Of Motion;
 Incompressible Flow;
 Three Dimensional Flow;
 Vorticity Equations;
 One Dimensional Flow;
 Singularity (Mathematics);
 Turbulent Flow;
 Fluid Mechanics and Heat Transfer