Connecting coherent structures and strange attractors
Abstract
A concept of turbulence derived from nonlinear dynamical systems theory suggests that turbulent solutions to the Navier-Stokes equations are restricted to strange attractors, and, by implication, that turbulent phenomenology must find some expression or source in the structure of these mathematical objects. Examples and discussions are presented to link coherent structures to some of the commonly known characteristics of strange attractors. Basic to this link is a geometric interpretation of conditional sampling techniques employed to educe coherent structures that offers an explanation for their appearance in measurements as well as their size.
- Publication:
-
Near-Wall Turbulence
- Pub Date:
- 1990
- Bibcode:
- 1990nrw..book...63K
- Keywords:
-
- Coherence;
- Dynamical Systems;
- Nonlinear Systems;
- Strange Attractors;
- Turbulence Effects;
- Navier-Stokes Equation;
- Periodic Functions;
- Random Sampling;
- Steady State;
- Fluid Mechanics and Heat Transfer