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Using parabolized stability equations to model boundary-layer transition in direct and large-eddy simulations.

A Lozano-Durán1, M J P Hack1, P Moin2

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48Th AIAA Fluid Dynamics Conference 2018 : Held at the AIAA Aviation Forum 2018 : Atlanta, Georgia, USA, 25-29 June 2018. AIAA Fluid Dynamics Conference (48Th : 2018 : Atlanta, Ga.)
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Summary
This summary is machine-generated.

The nonlinear parabolized stability equations (PSE) accurately model turbulence transition. A combined PSE/direct numerical simulation (DNS) approach effectively predicts flow characteristics, reducing computational cost.

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Area of Science:

  • Fluid dynamics
  • Computational fluid dynamics
  • Turbulence modeling

Background:

  • Turbulent transition is crucial in fluid dynamics.
  • Accurate prediction of transition is computationally demanding.
  • Existing methods often rely on empirical correlations.

Purpose of the Study:

  • To assess the nonlinear parabolized stability equations (PSE) for efficient turbulence transition prediction.
  • To investigate PSE's capability in capturing nonlinear interactions leading to turbulence.
  • To establish PSE as a precursor for direct numerical simulations (DNS).

Main Methods:

  • Utilizing nonlinear parabolized stability equations (PSE) to model disturbance growth.
  • Employing PSE to identify the onset of transition without empirical input.
  • Combining PSE for the pre-transitional region with DNS for the full domain.

Main Results:

  • PSE accurately captures nonlinear interactions driving turbulence.
  • The PSE solution at transition onset approximates Navier-Stokes equations.
  • A combined PSE/DNS approach successfully reproduced skin-friction and turbulent statistics.

Conclusions:

  • Nonlinear PSE offers an accurate and computationally efficient method for turbulence transition studies.
  • PSE provides a natural inflow condition for DNS/LES, avoiding nonphysical transients.
  • The hybrid PSE/DNS method validates well against full DNS results.