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

Testing a random phase approximation for bounded turbulent flow.

M Ulitsky1, T Clark, L Turner

  • 1Theoretical Division, Los Alamos National Laboratory, Mail Stop B216, Los Alamos, New Mexico 87545, USA. msu@lanl.gov

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
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

Māori Models of Adult Inpatient Mental Health Services: An Integrative Literature Review.

International journal of mental health nursing·2026
Same author

Metal mobilisation and fines migration in pure CO<sub>2</sub> and impure CO<sub>2</sub>-SO<sub>2</sub>-NO reactions of carbon storage site core.

The Science of the total environment·2024
Same author

Achievement of Target Gain Larger than Unity in an Inertial Fusion Experiment.

Physical review letters·2024
Same author

Lawson Criterion for Ignition Exceeded in an Inertial Fusion Experiment.

Physical review letters·2022
Same author

Adipocyte size, adipose tissue fibrosis, macrophage infiltration and disease risk are different in younger and older individuals with childhood versus adulthood onset obesity.

International journal of obesity (2005)·2022
Same author

Genetic variation of macronutrient tolerance in Drosophila melanogaster.

Nature communications·2022
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

The restricted random phase approximation (RRPA) is validated for turbulent channel flow using direct numerical simulations (DNSs). Results show RRPA holds for Euler equations and is affected by viscosity in Navier-Stokes simulations.

Area of Science:

  • Fluid dynamics
  • Turbulence modeling
  • Computational physics

Background:

  • Spectral closure methods in fluid dynamics rely on the restricted random phase approximation (RRPA).
  • RRPA is exact for homogeneous systems with Fourier modes but requires validation for inhomogeneous turbulence.
  • Direct numerical simulations (DNSs) offer a means to test approximations in complex flow scenarios.

Purpose of the Study:

  • To validate the restricted random phase approximation (RRPA) for inhomogeneous turbulent channel flow.
  • To assess the impact of finite viscosity on RRPA in Navier-Stokes simulations.
  • To compare RRPA adherence between Euler and Navier-Stokes systems.

Main Methods:

  • Direct numerical simulations (DNSs) of Navier-Stokes and truncated Euler equations were performed.

Related Experiment Videos

  • A bounded turbulent rectangular channel flow with free slip, stress-free walls was simulated.
  • The probability density function (PDF) of the normalized spectral covariance modulus was analyzed to characterize phase randomness.

    • Main Results:

    • A complete RRPA test for inhomogeneous DNS requires N3+1 ensemble members.
    • The PDF of spectral covariance modulus remains constant over time for decaying turbulence.
    • The Euler system's PDF closely matches that of random fields, indicating RRPA is exact.
    • Deviations in the Navier-Stokes PDF are attributed to finite viscosity.

    Conclusions:

    • The RRPA is validated for inhomogeneous turbulent flows, with deviations explained by viscosity.
    • DNSs provide crucial insights into the validity of spectral closure approximations.
    • Ensemble statistics differ significantly from single-realization statistics in turbulent flows.