Analytical insights into the partially integrated transport modeling method for hybrid Reynolds averaged Navier-Stokes equations-large eddy simulations of turbulent flows

Chaouat, Bruno; Schiestel, Roland

doi:10.1063/1.4745003

Cited by 23 publications

(22 citation statements)

References 58 publications

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“…represent production of subfilter stresses, redistribution, diffusion and dissipation, respectively (for details, see Chaouat and Schiestel [24,12]). Although the approach is generally used with a second moment closure, i.e., the transport equations (6) for the subfilter stresses are used, the analysis herein focuses on the behavior of the subfilter or modeled energy k M = 1 2 τ iisfs , such that the transport equation for the latter is required, as well as that of its dissipation rate ε M :…”

Section: Description Of the Hybrid Methodsmentioning

confidence: 99%

“…The equivalence criterion proposed herein provides an analytical basis for such comparisons, that can be applied to hybrid methods resting on modifications of the length and/or time scales involved in RANS models, based on dimensional arguments. Here, the procedure is applied to two distinctly formulated approaches: detached eddy simulation (DES), which is, in a variety of versions, the most widespread hybrid RANS-LES approach, and is based on an empirical modification of the dissipation rate in the underlying RANS model, in order to reduce the level of eddy viscosity and thus promote the appearance of resolved fluctuations; and partially integrated transport model (PITM), which has the highly desirable property of being based on a clear formalism and precise hypotheses to close the equations in spectral space [12]. A by-product of the present study is a new hybrid RANS/LES method that takes advantage of both the theoretical justification of the PITM and the robustness and ease of use of the DES methodology.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Description Of the Hybrid Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Toward an equivalence criterion for Hybrid RANS/LES methods

2015

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“…[ 26 , 27 ], it is then simple matter to show that As it is demonstrated in detail in Ref. [ 32 ], the numerical value can be re-adjusted to a different value and the more general expression for is The ratio 〈 k s f s 〉/ k appearing in Eq. 117 can be calibrated as a function of the location of the cutoff wave number.…”

Section: Popular Hybrid Rans/les Methodsmentioning

confidence: 99%

“…118 was recovered confirming its general character. These authors then developed a subfilter-scale stress model [ 113 ] using the elliptic blending method [ 148 ] and proposed a dynamic procedure to better drive the model toward the expected amount of modeled/resolved energy that can be interpreted as a return to equilibrium process [ 32 ].…”

Section: Popular Hybrid Rans/les Methodsmentioning

confidence: 99%

“…The main ingredient of this method is the new dissipation-rate equation that is used in conjunction with the equation of the subfilter scale energy or equations of the subfilter scale stresses depending on the level of closure that is chosen. In particular, these authors have derived subfilter turbulence models, the former one using a two-equation subfilter energy model [ 26 , 29 ] and the latter one, using a stress transport model based on second-moment closure [ 27 , 30 , 32 ]. The stress transport closure derived in the PITM framework was initially developed in the wave number space by Chaouat and Schiestel [ 27 , 28 ], and its formalism afterwards was transposed to the frequency space by Fadai-Ghotbi et al [ 112 , 113 ] who obtained very similar equations.…”

Section: Hybrid Rans/les Simulationmentioning

confidence: 99%

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The State of the Art of Hybrid RANS/LES Modeling for the Simulation of Turbulent Flows

Chaouat

2017

Flow Turbulence Combust

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163

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This review presents the state of the art of hybrid RANS/LES modeling for the simulation of turbulent flows. After recalling the modeling used in RANS and LES methodologies, we propose in a first step a theoretical formalism developed in the spectral space that allows to unify the RANS and LES methods from a physical standpoint. In a second step, we discuss the principle of the hybrid RANS/LES methods capable of representing a RANS-type behavior in the vicinity of a solid boundary and an LES-type behavior far away from the wall boundary. Then, we analyze the principal hybrid RANS/LES methods usually used to perform numerical simulation of turbulent flows encountered in engineering applications. In particular, we investigate the very large eddy simulation (VLES), the detached eddy simulation (DES), the partially integrated transport modeling (PITM) method, the partially averaged Navier-Stokes (PANS) method, and the scale adaptive simulation (SAS) from a physical point of view. Finally, we establish the connection between these methods and more precisely, the link between PITM and PANS as well as DES and PITM showing that these methods that have been built by different ways, practical or theoretical manners have common points of comparison. It is the opinion of the author to consider that the most appropriate method for a particular application will depend on the expectations of the engineer and the computational resources the user is prepared to expend on the problem.

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Energy Partitioning Control in the PITM Hybrid RANS/LES Method for the Simulation of Turbulent Flows

Chaouat

Schiestel

2021

Flow Turbulence Combust

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The partially integrated transport modeling (PITM) method first introduced in Ref. [R. Schiestel and A. Dejoan, "Towards a new partially integrated transport model for coarse grid and unsteady turbulent flow simulations ", Theor. Comput. Fluid Dyn. 18, 443 (2005)] and in Ref.[B. Chaouat and R. Schiestel, "A new partially integrated transport model for subgrid-scale stresses and dissipation rate for turbulent developing flows ", Phys. Fluids 17, 065106 ( 2005)] provides a continuous approach for hybrid RANS-LES simulations. Inspired from the multiple scale approach, the basis of the development of the method is the spectral space in quasi-homogeneous turbulence.The PITM method embodies a partitioning control function that monitors the ratio of subfilter energy to total turbulent energy by reference to the cutoff wavenumber location. How this procedure behaves in inhomogeneous flows is an important question. The present paper demonstrates that the same control function can be used both in homogeneous and in non-homogeneous flows as well.Further on, an analysis of the effect of anisotropic filters generally used for wall flows is conducted for computing the equivalent cutoff wavenumber suitable for determining the subfilter energy of the spectrum and see how it interferes with control function. Illustrations in the turbulent plane channel flow are given that confirm the efficiency of the procedure and DNS data have been used to support and supplement the discussion.

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Analytical insights into the partially integrated transport modeling method for hybrid Reynolds averaged Navier-Stokes equations-large eddy simulations of turbulent flows

Abstract: International audienceno abstrac

Cited by 23 publications

References 58 publications

Toward an equivalence criterion for Hybrid RANS/LES methods

Toward an equivalence criterion for Hybrid RANS/LES methods

The State of the Art of Hybrid RANS/LES Modeling for the Simulation of Turbulent Flows

Energy Partitioning Control in the PITM Hybrid RANS/LES Method for the Simulation of Turbulent Flows

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