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Molecular viscosity and diffusivity effects in transitional and shock-driven mixing flows.

F S Pereira1, F F Grinstein1, D M Israel1

  • 1Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

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Summary
This summary is machine-generated.

This study shows that viscous Navier-Stokes equations (NSE) are superior to inviscid Euler equations (EE) for accurately simulating transitional and shock-driven mixing flows. NSE provides reliable predictions and convergence, unlike EE.

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Area of Science:

  • Fluid Dynamics
  • Computational Science
  • Turbulence Modeling

Background:

  • Accurate prediction of transitional and shock-driven mixing flows is crucial.
  • Distinguishing between inviscid and viscous flow models is essential for reliable simulations.

Purpose of the Study:

  • To investigate the impact of molecular viscosity and diffusivity on predicting transitional and shock-driven mixing flows.
  • To compare the performance of viscous Navier-Stokes equations (NSE) against inviscid Euler equations (EE) in these flow regimes.

Main Methods:

  • Implicit large-eddy simulations were employed.
  • Two benchmark cases were computed: Taylor-Green vortex and an air-SF6-air gas curtain subjected to shock waves.
  • Simulations were performed using both Euler equations (EE) and Navier-Stokes equations (NSE).

Main Results:

  • Navier-Stokes equations (NSE) provide accurate and convergent predictions, especially at higher resolutions.
  • In contrast, Euler equations (EE) show decreasing effective viscosity and non-convergent results upon grid refinement.
  • Viscous effects significantly influence flow dynamics, coherent structures, and vorticity production/diffusion.

Conclusions:

  • Viscous Navier-Stokes equations (NSE) offer significant advantages over inviscid Euler equations (EE) for simulating complex mixing flows.
  • Accurate modeling of viscous effects is critical for predicting flow transition and turbulence.
  • Computational cost differences between inviscid and viscous models were assessed.