Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Multiscale model of gradient evolution in turbulent flows.

Luca Biferale1, Laurent Chevillard, Charles Meneveau

  • 1Dipartimento Fisica and INFN, Università di Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma, Italy.

Physical Review Letters
|August 7, 2007
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Non-reciprocal coalescence-breakup dynamics in flowing concentrated emulsions.

Nature communications·2026
Same author

Smart strategies to navigate turbulent odor plumes reorienting to local wind.

ArXiv·2026
Same author

Policy heterogeneity improves collective olfactory search in three-dimensional turbulence.

Physical review. E·2026
Same author

Data-driven Mori-Zwanzig modeling of Lagrangian particle dynamics in turbulent flows.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Multiscale data assimilation in turbulent models.

Physical review. E·2026
Same author

Avalanches of choice: How stranger-to-stranger interactions shape crowd dynamics.

Proceedings of the National Academy of Sciences of the United States of America·2026

A new multiscale model for turbulent velocity gradients combines restricted Euler dynamics with a cascade model. This approach regularizes singularities and accurately captures turbulence geometry and non-Gaussian fluctuations.

Area of Science:

  • Fluid dynamics
  • Turbulence modeling
  • Statistical mechanics

Background:

  • Turbulence presents a significant challenge in fluid dynamics due to complex, chaotic velocity fluctuations.
  • Existing models often struggle to capture the full range of turbulent phenomena, including singularities and non-Gaussian statistics.
  • Understanding the evolution of the velocity gradient tensor is crucial for developing accurate turbulence models.

Purpose of the Study:

  • To propose a novel multiscale model for the evolution of the velocity gradient tensor in turbulence.
  • To investigate the role of energy cascade and restricted Euler dynamics in regularizing turbulent singularities.
  • To validate the model's ability to reproduce key geometrical and statistical features of real turbulence.

Main Methods:

Related Experiment Videos

  • Coupling restricted Euler (RE) dynamics, which describes gradient self-stretching, with a cascade model for inter-scale energy transfer.
  • Analyzing the mathematical properties of the coupled model to demonstrate singularity regularization.
  • Comparing model predictions for vorticity alignment, gradient tensor invariants, and derivative flatness coefficients with experimental data.

Main Results:

  • The inclusion of the cascade process effectively regularizes the finite-time singularity inherent in restricted Euler dynamics.
  • The multiscale model successfully reproduces preferential alignments of vorticity and joint statistics of gradient tensor invariants observed in experiments.
  • Gradient fluctuations predicted by the model are non-Gaussian and exhibit longitudinal skewness, with derivative flatness coefficients aligning well with experimental findings.

Conclusions:

  • The proposed multiscale model offers a robust framework for studying turbulent velocity gradients.
  • The interplay between gradient dynamics and energy cascade is essential for a complete description of turbulence.
  • The model's success in replicating key turbulence features validates its potential for future research and applications in fluid dynamics.