Related Experiment Videos
Controllability of flow turbulence.
Shuguang Guan1, G W Wei, C-H Lai
1Temasek Laboratories and Department of Computational Science, National University of Singapore, Singapore.
Summary
Controlling turbulent fluid dynamics is challenging. While one velocity component can synchronize, the other only partially synchronizes, demonstrating limitations in full turbulence control.
Area of Science:
- Fluid dynamics
- Chaos theory
- Nonlinear dynamics
Background:
- Turbulence is a complex phenomenon governed by the Navier-Stokes equations.
- Chaos control strategies offer methods for influencing dynamic systems.
- Previous studies explored controlling turbulent dynamics with varying success.
Purpose of the Study:
- To investigate the controllability of two-dimensional Navier-Stokes turbulence.
- To analyze the synchronization of velocity field components under unidirectional coupling.
- To categorize the observed partial synchronization within existing theoretical frameworks.
Main Methods:
- Application of chaos control strategies to turbulent flow.
- Unidirectional coupling of one velocity component to a target state.
- Analysis of synchronization in spatiotemporal dynamics.
Main Results:
- Complete control/synchronization of the entire velocity field is not achievable, even with strong coupling.
- The directly coupled velocity component achieves full control/synchronization.
- The uncoupled velocity component exhibits only partial control/synchronization.
Conclusions:
- Partial synchronization of turbulent dynamics is a distinct phenomenon.
- The observed partial synchronization falls under generalized synchronization of spatiotemporal dynamics.
- This study highlights limitations in achieving complete control over turbulent flows.