Large Eddy Simulations Using the Subgrid-Scale Estimation Model and Truncated Navier-Stokes Dynamics

Domaradzki, J. Andrzej; Loh, Kuo-Chieh; Yee, P. P.

doi:10.1007/s00162-002-0056-y

Cited by 48 publications

(13 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such a weak ultraviolet nonlocality has important implications for large eddy simulation ͑LES͒, limiting the range of unresolved scales that are dynamically relevant and must be modeled. [12][13][14] The observed disparity between the scaling and DNS based results could be due to the fact that DNS results are at too low Reynolds numbers or that the asymptotic 4/3 scaling is not applicable for the relatively modest value s = 2. The purpose of this work is to elucidate the reasons for the observed differences between numerical and theoretical results as well as to determine under what conditions a better agreement is possible.…”

Section: Introductionmentioning

confidence: 66%

Locality properties of the energy flux in turbulence

2009

Self Cite

View full text Add to dashboard Cite

The scale locality functions, originally introduced by Kraichnan, are computed from results of direct numerical simulations of forced isotropic turbulence. It is found that a curve with the classical, asymptotic scaling exponent of 4/3 provides the lower bound for the numerical data in the infrared limit and the upper bound in the ultraviolet limit, i.e., the nonlocality effects are stronger in the infrared and weaker in the ultraviolet than the theoretical result obtained for an infinite inertial range. The departures from the 4/3 scaling are substantial for fully resolved direct numerical simulations at lower Reynolds number but decrease for forced simulations that impose the Ϫ5/3 spectrum outside the energy containing range.

show abstract

Section: Introductionmentioning

confidence: 66%

Locality properties of the energy flux in turbulence

2009

Self Cite

View full text Add to dashboard Cite

show abstract

“…It also lends weight to the applicability of the truncated Navier-Stokes approach beyond isotropic turbulence and channel flow previously tested. 41,43,44 Its better performance is attributed to the filtering operation only affecting the smallest resolved scales, whereas turbulent eddy viscosity models often have a dissipative effect on a wider range of scales. Excluding the drastic changes in the baseline no-model simulation (UDNS) results in going to the coarser mesh, LES results at 3% and 1% are consistent in their ability to predict C f , C p , and boundary layer thicknesses.…”

Section: B Performance Of Les At 1% Of Dns Resolutionmentioning

confidence: 98%

“…The truncated Navier-Stokes (TNS) approach follows the method developed by Domaradzki, Loh, and Yee (2002) in which periodic filtering is used as a substitute for a subgrid-scale model. 41 Periodic filtering is used to remove energy from the smallest resolved scales by the use of a low-pass approximate deconvolution method (ADM) filter.…”

Section: Truncated Navier-stokesmentioning

confidence: 99%

“…41 Periodic filtering is used to remove energy from the smallest resolved scales by the use of a low-pass approximate deconvolution method (ADM) filter. 42 The filtering operation is implemented using the product of an approximate deconvolution filter 43 The order N = 5 is chosen such that the filter only affects scales smaller than filter width ∆ = ∆x when using a simple three point filter in physical space G(∆x),…”

Section: Truncated Navier-stokesmentioning

confidence: 99%

See 1 more Smart Citation

Performance of subgrid-scale models in coarse large eddy simulations of a laminar separation bubble

Cadieux

Domaradzki

2015

Physics of Fluids

View full text Add to dashboard Cite

The flow over many blades and airfoils at moderate angles of attack and Reynolds numbers ranging from 104 to 105 undergoes separation due to the adverse pressure gradient generated by surface curvature. In many cases, the separated shear layer then transitions to turbulence and reattaches, closing off a recirculation region—the laminar separation bubble. An equivalent problem is formulated by imposing suitable boundary conditions for flow over a flat plate to avoid numerical and mesh generation issues. Recent work demonstrated that accurate large eddy simulation (LES) of such a flow is possible using only O(1%) of the direct numerical simulation (DNS) resolution but the performance of different subgrid-scale models could not be properly assessed because of the effects of unquantified numerical dissipation. LES of a laminar separation bubble flow over a flat plate is performed using a pseudo-spectral Navier-Stokes solver at resolutions corresponding to 3% and 1% of the chosen DNS benchmark by Spalart and Strelets (2000). The negligible numerical dissipation of the pseudo-spectral code allows an unambiguous assessment of the performance of subgrid-scale models. Three explicit subgrid-scale models—dynamic Smagorinsky, σ, and truncated Navier-Stokes (TNS)—are compared to a no-model simulation (under-resolved DNS) and evaluated against benchmark DNS data focusing on two quantities of critical importance to airfoil and blade designers: time-averaged pressure (Cp) and skin friction (Cf) predictions used in lift and drag calculations. Results obtained with explicit subgrid-scale models confirm that accurate LES of laminar separation bubble flows is attainable with as low as 1% of DNS resolution, and the poor performance of the no-model simulation underscores the necessity of subgrid-scale modeling in coarse LES with low numerical dissipation.

show abstract

“…For a more clear identification of this range the notion of resolved scales, i.e., scales where discrete operators used for approximation of the flow evolution equations are accurate, and of represented scales, i.e., scales with wavenumber less than the Nyquist wavenumber of the underlying grid, has been introduced. 5 A relaxation term was introduced as dissipative mechanism on this buffer range. Note that this condition is different from just requiring the truncation error to be small, as this range of scales for practically relevant LES always contains a significant fraction of total kinetic energy.…”

Section: Introductionmentioning

confidence: 99%

A stochastic extension of the approximate deconvolution model

Adams

2011

Physics of Fluids

View full text Add to dashboard Cite

The approximate deconvolution model (ADM) for large-eddy simulation exploits a range of represented but non-resolved scales as buffer region for emulating the subgrid-scale energy transfer. ADM can be related to Langevin models for turbulence when filter operators are interpreted as stochastic kernel estimators. The main conceptual difference between ADM and Langevin models for turbulence is that the former is formulated with respect to an Eulerian reference frame whereas the latter are formulated with respect to a Lagrangian reference frame. This difference can be resolved by transforming the Langevin models to the Eulerian reference frame. However, the presence of a stochastic force prevents the classical convective transformation from being applicable. It is shown that for the transformation a stochastic number-density field can be introduced that essentially represents the Lagrangian particle distribution of the original model. Unlike previous derivations, the number-density field is derived by invoking the d-function calculus, and for the resulting stochastic-momentum-field transport equation implies the necessity of a repulsive force in order to maintain a unique mapping between Lagrangian and Eulerian frame. Based on the number-density field and the stochastic-momentum field, a stochastic modification of ADM is possible by an approximate reconstruction of the small-scale field on the above-mentioned range of buffer scales. The objective of this paper is to introduce the concept of the Eulerian formulation of the Langevin model in a consistent form, allowing for stable numerical integration and to show how this model can be used for a modified way of subfilter-scale estimation. It should be noted that the overall concept can be applied more generally to any situation where a Lagrangian Langevin model is used. For an initial verification of the concept, which is within the scope of this paper, we consider the example of compressible isotropic turbulence and that of the three-dimensional Taylor-Green-Vortex.

show abstract

Large Eddy Simulations Using the Subgrid-Scale Estimation Model and Truncated Navier-Stokes Dynamics

Cited by 48 publications

References 0 publications

Locality properties of the energy flux in turbulence

Locality properties of the energy flux in turbulence

Performance of subgrid-scale models in coarse large eddy simulations of a laminar separation bubble

A stochastic extension of the approximate deconvolution model

Contact Info

Product

Resources

About