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Analysis of errors occurring in large eddy simulation.

Bernard J Geurts1

  • 1Multiscale Modeling and Simulation, NACM, J. M. Burgers Center, Faculty EEMCS, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands. b.j.geurts@utwente.nl

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|June 18, 2009
PubMed
Summary
This summary is machine-generated.

Higher-order finite-volume methods in large eddy simulations act as implicit filters, preserving more flow scales. Optimal simulation results depend on discretization accuracy and subfilter model calibration.

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Area of Science:

  • Computational fluid dynamics
  • Turbulence modeling

Background:

  • Large eddy simulations (LES) rely on subgrid-scale models to represent unresolved turbulent scales.
  • Finite-volume discretizations introduce implicit filtering, affecting the resolved scales in LES.

Purpose of the Study:

  • To analyze the impact of second- and fourth-order accurate finite-volume discretizations on LES of decaying turbulence.
  • To investigate the relationship between discretization order, implicit filtering, and subfilter model effectiveness.

Main Methods:

  • Comparison of second- and fourth-order central finite-volume schemes for Navier-Stokes equations.
  • Analysis of the induced implicit filter characteristics for different discretization orders.
  • Error-landscape analysis using Smagorinsky's subfilter model to determine optimal parameters.

Main Results:

  • Higher-order discretizations induce higher-order implicit filters, retaining more flow scales.
  • The optimal Smagorinsky coefficient (C(S)) varies with the order of convective and viscous flux discretizations.
  • A fully fourth-order discretization requires a slightly lower optimal C(S) compared to a fully second-order method.

Conclusions:

  • Discretization order significantly influences the implicit filtering in LES.
  • Careful selection of discretization schemes and subfilter model parameters is crucial for accurate turbulence simulations.
  • Fourth-order accurate schemes offer potential for improved LES accuracy by better preserving flow scales.