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Published on: May 9, 2021
Dynamics of blinking vortices
1Institute for Theoretical Physics, Münster University, Wilhelm-Klemm-Strasse 9, D-48149, Germany.
Summary
This study reveals that blinking vortices exhibit chaotic dynamics that decrease over time. Their system expands, creating realistic flow patterns distinct from traditional point vortices.
Area of Science:
- Fluid dynamics
- Chaos theory
- Nonlinear dynamics
Background:
- Traditional point vortex models are foundational but have limitations in representing complex fluid behaviors.
- Understanding vortex dynamics is crucial for various fields, including meteorology and oceanography.
Purpose of the Study:
- To investigate the chaotic dynamics of blinking vortices with periodically changing vorticity.
- To analyze the temporal evolution of chaoticity and system size.
- To explore the advection dynamics and resulting flow patterns.
Main Methods:
- Numerical simulation of N blinking point vortices.
- Calculation of finite size Lyapunov exponents to quantify chaoticity.
- Analysis of system diameter scaling and advection dynamics.
Main Results:
- Blinking vortex dynamics are chaotic, with chaoticity decreasing over time.
- The average diameter of the blinking vortex system exhibits subdiffusive power-law scaling (t^sigma, sigma<1/2).
- Advection dynamics produce realistic dye distribution patterns with fractal dimensions less than 2.
Conclusions:
- Blinking vortices offer a more realistic model than classical point vortices.
- The expanding nature of the blinking vortex system creates unique intermediate flow characteristics.
- The study provides insights into complex fluid behavior and pattern formation.
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