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Lattice Boltzmann simulation for forced two-dimensional turbulence.

YuXian Xia1, YueHong Qian1

  • 1Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 13, 2014
PubMed
Summary
This summary is machine-generated.

Friction is essential for double cascades in 2D turbulent flow. Different forces yield distinct energy spectra, confirming theories and revealing cascade nonrobustness and intermittency.

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Area of Science:

  • Fluid Dynamics
  • Computational Physics

Background:

  • Two-dimensional turbulence exhibits complex energy and enstrophy cascades.
  • Understanding these cascades is crucial for predicting turbulent flow behavior.

Purpose of the Study:

  • Investigate the development of energy-enstrophy double cascades in forced 2D turbulence.
  • Compare the effects of Gaussian and Kolmogorov forces on these cascades.
  • Analyze the resulting energy spectra and intermittency.

Main Methods:

  • Direct numerical simulations using the lattice Boltzmann method.
  • Forced two-dimensional turbulent flow models.
  • Analysis of energy spectra and intermittency in cascade ranges.

Main Results:

  • Friction force is a necessary condition for double cascade occurrence.
  • Energy spectrum k(-3) in the enstrophy inertial range matches Kraichnan theory for both forces.
  • Gaussian force shows an inverse cascade energy spectrum of k(-2).
  • Kolmogorov force exhibits a backscatter cascade energy spectrum of k(-5/3).
  • Intermittency is observed in the enstrophy cascade for both force types.

Conclusions:

  • Confirms Kraichnan theory for the enstrophy inertial range.
  • Highlights the nonrobustness of 2D turbulent inverse cascades, aligning with Scott's findings.
  • Demonstrates the influence of external force type on cascade dynamics and energy spectra.
  • Identifies intermittency as a feature of the enstrophy cascade in 2D forced turbulence.