A framework for predicting accuracy limitations in large-eddy simulation

Geurts, Bernardus J.; Fröhlich, Jochen

doi:10.1063/1.1480830

Cited by 212 publications

(206 citation statements)

References 5 publications

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“…Although comparison with filtered DNS data is impossible here, we observe that the smoothed Leray dynamics is essentially captured as r ϭ⌬/hу4. 12 The tail of the spectrum increases with Re, indicating a greater importance of small scale flow features. Improved subgrid resolution shows a reduction of these smallest scales, consistent with the reduced numerical error.…”

Section: ͑4͒mentioning

confidence: 99%

“…At fixed ⌬, variation of the subgrid resolution r allows an independent control over flow smoothing and numerical representation. 12 Simulation results obtained in this way are properly smoothed for k⌬ Ͻ2 . At constant ⌬ the inclusion of modes with higher wavenumber k in case rϾ1 allows to approach the gridindependent solution to the ''fixed-⌬'' problem.…”

Section: ͑4͒mentioning

confidence: 99%

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Regularization modeling for large-eddy simulation

2003

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A new modeling approach for large-eddy simulation (LES) is obtained by combining a `regularization principle' with an explicit filter and its inversion. This regularization approach allows a systematic derivation of the implied subgrid-model, which resolves the closure problem. The central role of the filter in LES is fully restored, i.e., both the interpretation of LES predictions in terms of direct simulation results as well as the corresponding subgrid closure are specified by the filter. The regularization approach is illustrated with `Leray-smoothing' of the nonlinear convective terms. In turbulent mixing the new, implied subgrid model performs favorably compared to the dynamic eddy-viscosity procedure. The model is robust at arbitrarily high Reynolds numbers and correctly predicts self-similar turbulent flow development.Comment: 16 pages, 4 figures, submitted to Physics of Fluid

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Section: ͑4͒mentioning

confidence: 99%

Section: ͑4͒mentioning

confidence: 99%

Regularization modeling for large-eddy simulation

2003

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“…The volumeaveraged sgs is 18%, 19% and 21% of the total volume-averaged dissipation, for the three Reynolds numbers considered. Using LES and DNS of mixing layers, Geurts & Fröhlich (2002) found that, when this measure of 'subgrid-activity' is less than 30%, the modelling errors are less than 1%. Figure 12 shows the terms in the budget of the turbulent kinetic energy K = u i u i /2.…”

Section: Open Duct: Reynolds Stressesmentioning

confidence: 99%

Large-eddy simulations of ducts with a free surface

2003

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This work studies the momentum and energy transport mechanisms in the corner between a free surface and a solid wall. We perform large-eddy simulations of the incompressible fully developed turbulent flow in a square duct bounded above by a free-slip wall, for Reynolds numbers based on the mean friction velocity and the duct width equal to 360, 600 and 1000. The flow in the corner is strongly affected by the advection due to two counter-rotating secondary-flow regions present immediately below the free surface. Because of the convection of the inner eddy, as the free surface is approached, the friction velocity on the sidewall first decreases, then increases again. A similar behaviour is observed for the surface-parallel Reynolds-stress components, which first decrease and then increase again very close to the surface. The budgets of the Reynolds stresses show a strong reduction of all terms of the dissipation tensor in both the inner and outer near-corner regions. They exhibit a reduction in both production and dissipation towards the free surface. Very close to the solid boundary, within 15-20 viscous lengths of the sidewall, the turbulent kinetic energy production and the surface-parallel fluctuations rebound in the thin layer adjacent to the free surface. The Reynolds-stress anisotropy appears to be the main factor in the generation of the mean secondary flow. The multi-layer structure of the boundary layer near the free surface is also discussed.

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“…A consequence of this characteristic of self-consistent hybrid methods is that, in the budget of the resolved kinetic energy, the molecular dissipation rate ε R = νS i jS i j , wherẽ S i j denotes the filtered strain tensor, an overbar the ensemble average and ν the molecular viscosity, remains negligible compared to the so-called turbulent dissipation −τ i j sfsS i j [13], where τ i j sfs denotes the subfilter (SFS) stress tensor.…”

Section: Energy Ratio Rmentioning

confidence: 99%

Toward an equivalence criterion for Hybrid RANS/LES methods

2015

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A criterion is established to assess the equivalence between hybrid RANS/LES methods, called H-equivalence, based on the modeled energy of the unresolved scales, which leads to similar low-order statistics of the resolved motion. Different equilibrium conditions are considered, and perturbation analyses about the equilibrium states are performed. The procedure is applied to demonstrate the equivalence between two particular hybrid methods, and leads to relationships between hybrid method parameters that control the partitioning of energy between the resolved and unresolved scales of motion. This equivalence is validated by numerical results obtained for the cases of plane and periodically constricted channel flows. This concept of H-equivalence makes it possible to view different hybrid methods as models for the same system of equations: as a consequence, detached-eddy simulation (DES), which is shown to be H-equivalent to the temporal partially integrated transport model (T-PITM) in inhomogeneous, stationary situations, can be interpreted as a model for the subfilter stress involved in the temporally filtered Navier-Stokes equations.

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A framework for predicting accuracy limitations in large-eddy simulation

Cited by 212 publications

References 5 publications

Regularization modeling for large-eddy simulation

Regularization modeling for large-eddy simulation

Large-eddy simulations of ducts with a free surface

Toward an equivalence criterion for Hybrid RANS/LES methods

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