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

Infrared decimation renormalization-group calculations for two-dimensional test-field turbulence.

Malay K Nandy1

  • 1Department of Physics, Indian Institute of Technology Guwahati, Guwahati 781 039, India. nandymk@yahoo.co.in

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary

This study models two-dimensional turbulence using a renormalization-group scheme and Rayleigh drag. It reveals corrections to drag coefficients and identifies fixed points for calculating universal numbers in energy and enstrophy regimes.

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

Existence of Chandrasekhar's limit in generalized uncertainty white dwarfs.

Royal Society open science·2021
Same author

Conserved nonlocal dynamics and critical behavior of uranium ferromagnetic superconductors.

Physical review. E·2017
Same author

Critical dynamics of a nonlocal model and critical behavior of perovskite manganites.

Physical review. E·2016
Same author

Nonlocal quartic interactions and universality classes in perovskite manganites.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Skewness in (1+1)-dimensional Kardar-Parisi-Zhang-type growth.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Spectral calculations in stably stratified turbulence.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015

Area of Science:

  • Fluid dynamics
  • Statistical mechanics
  • Computational physics

Background:

  • Two-dimensional turbulence is modeled using randomly stirred test-field dynamics.
  • Linear (Rayleigh) drag terms are incorporated to represent turbulence.
  • Renormalization-group (RG) schemes are crucial for understanding universal behaviors in physical systems.

Purpose of the Study:

  • To model two-dimensional turbulence using a decimation of modes and RG scheme.
  • To investigate the effects of Rayleigh drag on turbulence dynamics.
  • To calculate universal numbers in energy and enstrophy regimes and compare with existing closure models.

Main Methods:

  • Decimation of modes from the infrared end of wave numbers.
  • Application of a renormalization-group scheme to analyze drag coefficients.

Related Experiment Videos

  • Comparison of RG results with Kraichnan's test-field closure (numerical and analytical).

    • Main Results:

    • The renormalization-group scheme identified relevant corrections to drag coefficients.
    • Ultraviolet attractive fixed points were found, enabling universal number calculations.
    • Marginal behavior in the enstrophy range led to logarithmic renormalization.

    Conclusions:

    • The RG approach provides accurate predictions for universal numbers in 2D turbulence.
    • The study validates Kraichnan's test-field closure through detailed comparisons.
    • RG corrections are essential for a complete understanding of drag effects in turbulent systems.