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

Passive scalar turbulence in high dimensions.

A Mazzino1, P Muratore-Ginanneschi

  • 1INFM-Department of Physics,University of Genova, I-16146 Genoa, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 17, 2001
PubMed
Summary

This study numerically assesses a theoretical expansion for the Kraichnan advection model. It validates predictions for high dimensions and investigates anomalous scaling in structure functions.

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

Fluid dynamics of COVID-19 airborne infection suggests urgent data for a scientific design of social distancing.

Scientific reports·2020
Same author

Buoyancy-Driven Flow through a Bed of Solid Particles Produces a New Form of Rayleigh-Taylor Turbulence.

Physical review letters·2018
Same author

Passive appendages generate drift through symmetry breaking.

Nature communications·2014
Same author

Minimal model for zero-inertia instabilities in shear-dominated non-Newtonian flows.

Physical review. E, Statistical, nonlinear, and soft matter physics·2013
Same author

Effects of polymer additives on Rayleigh-Taylor turbulence.

Physical review. E, Statistical, nonlinear, and soft matter physics·2011
Same author

Polymer heat transport enhancement in thermal convection: the case of Rayleigh-Taylor turbulence.

Physical review letters·2010

Area of Science:

  • Fluid dynamics
  • Statistical physics
  • Computational physics

Background:

  • The Kraichnan advection model describes passive scalar transport in turbulent flows.
  • Understanding anomalous scaling in structure functions is crucial for turbulence theory.
  • Previous theoretical work by Chertkov et al. proposed a 1/d expansion for scalar structure functions.

Purpose of the Study:

  • To numerically validate the first-order 1/d expansion for the Kraichnan advection model.
  • To investigate the behavior of anomalous scaling in higher-order structure functions.
  • To explore the relationship between scaling exponents and the velocity scaling exponent (xi).

Main Methods:

  • A Lagrangian numerical strategy was employed.
  • The study covered both perturbative and nonperturbative regimes of the model.
  • Numerical assessments were performed for fourth- and sixth-order scalar structure functions.

Main Results:

  • The numerical results provide an assessment of the first-order 1/d expansion in the high-dimension limit.
  • The behavior of the anomaly for sixth-order structure functions was investigated against the velocity scaling exponent (xi).
  • Perturbative results were obtained and analyzed.

Conclusions:

  • The numerical study supports the theoretical predictions of the 1/d expansion for the Kraichnan advection model.
  • The findings offer insights into anomalous scaling phenomena in turbulent advection.
  • The investigation contributes to a deeper understanding of turbulence theory through numerical validation.

Related Experiment Videos