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What are we learning from simulating wall turbulence?

Javier Jiménez1, Robert D Moser

  • 1School of Aeronautics, Universidad Politécnica de Madrid, 28040 Madrid, Spain. jimenez@torroja.dmt.upm.es

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|January 25, 2007
PubMed
Summary
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High-quality numerical simulations reveal that near-wall turbulence structures in the viscous and buffer layers are key to energy production. Recent advances are clarifying the logarithmic layer, improving our understanding of turbulent flow dynamics.

Area of Science:

  • Fluid Dynamics
  • Turbulence Research
  • Computational Fluid Dynamics

Background:

  • Turbulence near walls is crucial for many engineering applications.
  • Recent decades have seen significant advancements due to high-quality numerical simulations.
  • Understanding near-wall turbulence is essential for predicting and controlling fluid flow behavior.

Purpose of the Study:

  • To investigate the dynamics of turbulence in the viscous, buffer, and logarithmic layers near walls.
  • To leverage numerical simulations for a deeper understanding of turbulent energy production and dissipation.
  • To explore the global properties and kinematic cascades within the logarithmic layer of turbulent flows.

Main Methods:

  • Utilizing high-fidelity numerical simulations to model turbulent flows near smooth walls.

Related Experiment Videos

  • Analyzing nonlinear structures responsible for energy production and dissipation in the viscous and buffer layers.
  • Investigating the logarithmic (overlap) layer using validated models and finite Reynolds number corrections.

    • Main Results:

    • Numerically exact nonlinear structures in the viscous and buffer layers account for approximately 50% of energy production and dissipation.
    • Dominant structures in the wall layer are well-predicted by models developed in the 1990s.
    • A finite Reynolds number correction to the logarithmic law has been validated, clarifying the bounds of the overlap region at larger distances from the wall.

    Conclusions:

    • Near-wall turbulence research has been revitalized by advanced numerical simulations.
    • The viscous and buffer layers exhibit distinct structures that significantly contribute to turbulent energy dynamics.
    • Current research is beginning to elucidate the complex dynamics of the logarithmic layer, paving the way for future dynamical understanding.