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Modeling boundary-layer transition in direct and large-eddy simulations using parabolized stability equations.

A Lozano-Durán1, M J P Hack1, P Moin1

  • 1Center for Turbulence Research, Stanford University, Stanford, California 94305, USA.

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|October 22, 2019
PubMed
Summary
This summary is machine-generated.

The nonlinear parabolized stability equations (PSE) accurately model turbulence transition, offering a computationally efficient alternative to direct numerical simulations (DNS) and large-eddy simulations (LES). This approach improves predictions of flow behavior and reduces computational costs.

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Area of Science:

  • Fluid Dynamics
  • Turbulence Modeling
  • Computational Fluid Dynamics

Background:

  • Turbulence transition is crucial for understanding complex fluid flows.
  • Accurate prediction of transition onset and development is computationally demanding.
  • Existing methods often rely on empirical correlations or computationally expensive simulations.

Purpose of the Study:

  • To evaluate the nonlinear parabolized stability equations (PSE) for accurate and efficient modeling of H-type transition to turbulence.
  • To demonstrate PSE's capability in capturing nonlinear interactions leading to turbulence breakdown.
  • To establish PSE as a suitable inflow condition for subsequent simulations.

Main Methods:

  • Application of nonlinear parabolized stability equations (PSE) to model the pretransitional flow region.
  • Coupling PSE with direct numerical simulations (DNS) to validate results.
  • Integration of PSE with wall-resolved and wall-modeled large-eddy simulations (LES).

Main Results:

  • PSE accurately captures nonlinear interactions driving turbulence transition without empirical correlations.
  • A combined PSE-DNS approach successfully reproduces skin-friction distribution and turbulent statistics.
  • Significant reduction in computational cost (several orders of magnitude) compared to full DNS when using PSE with LES.

Conclusions:

  • Nonlinear PSE offer a computationally efficient and accurate method for studying turbulence transition.
  • PSE provide a natural and non-physical transient-free inflow condition for DNS and LES.
  • The PSE-LES approach presents a powerful tool for reducing the computational burden of turbulent flow simulations.