Regularization-based sub-grid scale (SGS) models for large eddy simulations (LES) of high-<i>Re</i>decaying isotropic turbulence

Chandy, Abhilash J.; Frankel, Steven

doi:10.1080/14685240902998215

Cited by 20 publications

(33 citation statements)

References 32 publications

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“…It has been reported recently that Clark-α and LANS-α have poor SFS model performance and, in fact, have instabilities in simulations with periodic boundary conditions [9]. This result highlights the importance of correctly interpreting H 1 α norm regularizations.…”

Section: Computability and Interpretation Of H 1 α Norm Regularizationsmentioning

confidence: 88%

“…It is worth pointing out that Clark-α is nearly identical to the Rational Large Eddy Simulation (RLES) model [15] which has been shown to be unstable for non-periodic boundaries [5,28]. Both our work and that of [9] have employed periodic boundary conditions only, but extra precautions must be taken for stability in the non-periodic case [5,28].…”

Section: Computability and Interpretation Of H 1 α Norm Regularizationsmentioning

confidence: 93%

“…This result highlights the importance of correctly interpreting H 1 α norm regularizations. To illustrate this, we compute 256 3 DNS and 64 3 models runs for case 3a of [9] decaying Taylor-Green vortex with ν = 2.5 · 10 −3 (time step, dt = 3 · 10 −3 for all simulations). In Figs.…”

Section: Computability and Interpretation Of H 1 α Norm Regularizationsmentioning

confidence: 99%

“…4a appear under-dissipative at high wave numbers, while the correct H 1 α norm spectra are closer to the DNS. We also conduct Clark-α and LANS-α computations for case 3b of [9]: ν = 1/3000, α = 2π/32 and 384 3 grid points (Fig. 4b).…”

Section: Computability and Interpretation Of H 1 α Norm Regularizationsmentioning

confidence: 99%

“…The particular numerical expression of the models we used is given in (3) and (8). These differ from (8) and (9) in [9] and it is known that discretized pseudospectral operators depend on their algorithmic form (e.g., ∇ψ 2 = 2ψ∇ψ [7,13]). This is likely the source of their observed instability; however a recently discovered deficiency in high-order low-storage Runge-Kutta schemes [6] may also impact numerical implementation of the models.…”

Section: Computability and Interpretation Of H 1 α Norm Regularizationsmentioning

confidence: 99%

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The Effect of Subfilter-Scale Physics on Regularization Models

et al. 2010

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The subfilter-scale (SFS) physics of regularization models are investigated to understand the regularizations' performance as SFS models. Suppression of spectrally local SFS interactions and conservation of small-scale circulation in the Lagrangian-averaged Navier-Stokes α-model (LANS-α) is found to lead to the formation of rigid bodies. These contaminate the superfilter-scale energy spectrum with a scaling that approaches k +1 as the SFS spectra is resolved. The Clark-α and Leray-α models, truncations of LANS-α, do not conserve small-scale circulation and do not develop rigid bodies. LANS-α, however, is closest to Navier-Stokes in intermittency properties. All three models are found to be stable at high Reynolds number. Differences between L 2 and H 1 norm models are clarified. For magnetohydrodynamics (MHD), the presence of the Lorentz force as a source (or sink) for circulation and as a facilitator of both spectrally nonlocal large to small scale interactions as well as local SFS interactions prevents the formation of rigid bodies in Lagrangianaveraged MHD (LAMHD-α). LAMHD-α performs well as a predictor of superfilter-scale energy spectra and of intermittent current sheets at high Reynolds numbers. It may prove generally applicable as a MHD-LES.

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Section: Computability and Interpretation Of H 1 α Norm Regularizationsmentioning

confidence: 88%

Section: Computability and Interpretation Of H 1 α Norm Regularizationsmentioning

confidence: 93%

Section: Computability and Interpretation Of H 1 α Norm Regularizationsmentioning

confidence: 99%

Section: Computability and Interpretation Of H 1 α Norm Regularizationsmentioning

confidence: 99%

Section: Computability and Interpretation Of H 1 α Norm Regularizationsmentioning

confidence: 99%

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The Effect of Subfilter-Scale Physics on Regularization Models

et al. 2010

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The effect of subfilter-scale physics on regularization models

Graham¹,

Holm²,

Mininni³

et al. 2011

Quality and Reliability of Large-Eddy Simulations II

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Comparison of Subgrid-scale Viscosity Models and Selective Filtering Strategy for Large-eddy Simulations

Aubard

Volpiani

Gloerfelt

et al. 2013

Flow Turbulence Combust

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. Abstract Explicitly filtered large-eddy simulations (LES), combining high-accuracy schemes with the use of a selective filtering without adding an explicit subgrid-scales (SGS) model, are carried out for the Taylor-Green-vortex and the supersonic-boundary-layer cases. First, the present approach is validated against direct numerical simulation (DNS) results. Subsequently, several SGS models are implemented in order to investigate if they can improve the initial filter-based methodology. It is shown that the most accurate results are obtained when the filtering is used alone as an implicit model, and for a minimal cost. Moreover, the tests for the Taylor-Green vortex indicate that the discretization error from the numerical methods, notably the dissipation error from the high-order filtering, can have a greater influence than the SGS models.

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Regularization-based sub-grid scale (SGS) models for large eddy simulations (LES) of high-Redecaying isotropic turbulence

Cited by 20 publications

References 32 publications

The Effect of Subfilter-Scale Physics on Regularization Models

The Effect of Subfilter-Scale Physics on Regularization Models

The effect of subfilter-scale physics on regularization models

Comparison of Subgrid-scale Viscosity Models and Selective Filtering Strategy for Large-eddy Simulations

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