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Updated: May 2, 2026

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Estimating the effective Reynolds number in implicit large-eddy simulation.

Ye Zhou1, Fernando F Grinstein2, Adam J Wachtor2

  • 1Lawrence Livermore National Laboratory, Livermore, California 94550, USA.

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|March 4, 2014
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Summary
This summary is machine-generated.

Estimating the Reynolds number (Re) in implicit large-eddy simulations (ILES) is crucial for characterizing flow behavior. This study proposes a robust framework for obtaining reliable Re estimates away from numerical dissipation scales.

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Area of Science:

  • Fluid dynamics
  • Computational physics
  • Turbulence modeling

Background:

  • Implicit large-eddy simulation (ILES) resolves large scales and implicitly models subgrid-scale effects using physics-capturing numerics.
  • Characterizing the impact of resolution on flow quantities in ILES requires estimating a characteristic Reynolds number (Re) and effective viscosity.

Purpose of the Study:

  • To propose a theoretical basis and framework for obtaining robust Reynolds number (Re) estimates in ILES.
  • To enable better characterization of resolution's impact on macroscopic convergence of flow quantities.

Main Methods:

  • Developing a theoretical framework for Reynolds number estimation in ILES.
  • Applying the framework to various ILES test cases, including forced turbulence, Taylor-Green vortex, and laser-driven reshock experiments.

Main Results:

  • A method for estimating Reynolds number (Re) away from numerically dissipative scales is proposed.
  • The framework is demonstrated to be applicable to diverse turbulent flow scenarios.

Conclusions:

  • Robust Reynolds number (Re) estimation is achievable in ILES using the proposed framework.
  • This approach facilitates a more rigorous characterization of ILES performance and convergence properties.