Multifractal subgrid-scale modeling for large-eddy simulation. I. Model development and a priori testing

Gregory C. Burton, Werner Dahm

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Results are presented from a new approach to modeling the subgrid-scale stresses in large-eddy simulation of turbulent flows, based on explicit evaluation of the subgrid velocity components from a multifractal representation of the subgrid vorticity field. The approach is motivated by prior studies showing that the enstrophy field exhibits multifractal scale-similarity on inertial-range scales in high Reynolds number turbulence. A scale-invariant multiplicative cascade thus gives the spatial distribution of subgrid vorticity magnitudes within each resolved-scale cell, and an additive cascade gives the progressively isotropic decorrelation of subgrid vorticity orientations from the resolved scale Δ to the viscous scale λν. The subgrid velocities are then obtained from Biot-Savart integrals over this subgrid vorticity field. The resulting subgrid velocity components become simple algebraic expressions in terms of resolved-scale quantities, which then allow explicit evaluation of the subgrid stresses τij*. This new multifractal subgrid-scale model is shown in a priori tests to give good agreement for the filtered subgrid velocities, the subgrid stress components, and the subgrid energy production at both low (ReΔ; ≈ 160) and high (ReΔ; ≈ 2550) resolved-scale Reynolds numbers. Implementing the model is no more computationally burdensome than traditional eddy-viscosity models. Moreover, evaluation of the subgrid stresses requires no explicit differentiation of the resolved velocity field and is therefore comparatively unaffected by discretization errors.

Original languageEnglish (US)
Pages (from-to)1-16
Number of pages16
JournalPhysics of Fluids
Volume17
Issue number7
DOIs
StatePublished - Jul 2005
Externally publishedYes

Fingerprint

Large eddy simulation
large eddy simulation
Vorticity
Testing
vorticity
Cascades (fluid mechanics)
Reynolds number
evaluation
Spatial distribution
cascades
Turbulent flow
Turbulence
Viscosity
eddy viscosity
high Reynolds number
scale models
turbulent flow
spatial distribution
velocity distribution
turbulence

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes
  • Condensed Matter Physics

Cite this

Multifractal subgrid-scale modeling for large-eddy simulation. I. Model development and a priori testing. / Burton, Gregory C.; Dahm, Werner.

In: Physics of Fluids, Vol. 17, No. 7, 07.2005, p. 1-16.

Research output: Contribution to journalArticle

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