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Lagrangian statistics and temporal intermittency in a shell model of turbulence
G Boffetta1, F De Lillo, S Musacchio
1Dipartimento di Fisica Generale and INFM, Università di Torino, Via Pietro Giuria 1, Italy.
Summary
Single-particle velocity fluctuations in turbulence models are intermittent. This intermittency is linked to Eulerian scaling exponents and suggests an intermediate dissipative range in fluid dynamics.
Area of Science:
- Fluid dynamics
- Statistical mechanics
- Turbulence research
Background:
- Turbulence is characterized by complex fluid motion across various scales.
- Understanding velocity statistics is crucial for turbulence modeling.
- Intermittency in turbulent flows deviates from simple statistical predictions.
Purpose of the Study:
- To investigate the statistical properties of single-particle Lagrangian velocity.
- To analyze intermittency in a shell model of turbulence.
- To connect Lagrangian velocity statistics to Eulerian structure functions.
Main Methods:
- Utilizing a shell model to simulate turbulent flows.
- Analyzing single-particle trajectories in the Lagrangian frame.
- Calculating scaling exponents for velocity fluctuations.
Main Results:
- Small-scale velocity fluctuations exhibit intermittency.
- Lagrangian scaling exponents are related to Eulerian structure function exponents.
- The observed reduced scaling range is characteristic of an intermediate dissipative range.
Conclusions:
- The shell model captures intermittent Lagrangian velocity statistics.
- Intermittency in this model is linked to fundamental turbulence scaling laws.
- The findings support the interpretation of an intermediate dissipative range in turbulent flows.