A simple one-dimensional model for the three-dimensional vorticity equation
Abstract
A simple qualitative one-dimensional model for the three-dimensional 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 three-dimensional 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