Large Eddy Simulation of Turbulent Flow past a Backward Facing Step with a new Mixed Scale SGS Model

Sagaut, Pierre; Troff, B.; Lê, T. H.; Loc, Ta Phuoc

doi:10.1007/978-3-322-89838-8_36

Cited by 7 publications

(2 citation statements)

References 6 publications

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“…Another possibility for defining ν t consists in using a mixed approach combining the Smagorinsky model and the TKE eddy-viscosity introduced above as in Sagaut et al [66]:…”

Section: The Subgrid Viscosity Methodsmentioning

confidence: 99%

Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows

Guermond

Oden

Prudhomme

2004

Journal of Mathematical Fluid Mechanics

100

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The main objective of this paper is to review and report on key mathematical issues related to the theory of Large Eddy Simulation of turbulent flows. We review several LES models for which we attempt to provide mathematical justifications. For instance, some filtering techniques and nonlinear viscosity models are found to be regularization techniques that transform the possibly ill-posed Navier-Stokes equation into a well-posed set of PDE's. Spectral eddyviscosity methods are also considered. We show that these methods are not spectrally accurate, and, being quasi-linear, that they fail to be regularizations of the Navier-Stokes equations. We then propose a new spectral hyper-viscosity model that regularizes the Navier-Stokes equations while being spectrally accurate. We finally review scale-similarity models and two-scale subgrid viscosity models. A new energetically coherent scale-similarity model is proposed for which the filter does not require any commutation property nor solenoidality of the advection field. We also show that two-scale methods are mathematically justified in the sense that, when applied to linear non-coercive PDE's, they actually yield convergence in the graph norm. Mathematics Subject Classification (2000). 65N30, 65M, 76D05, 76F.

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“…Another possibility for defining ν t consists in using a mixed approach combining the Smagorinsky model and the TKE eddy-viscosity introduced above as in Sagaut et al [66]:…”

Section: The Subgrid Viscosity Methodsmentioning

confidence: 99%

Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows

Guermond

Oden

Prudhomme

2004

Journal of Mathematical Fluid Mechanics

100

View full text Add to dashboard Cite

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“…When turbulence effects need to be included, the viscosity µ in equation ( 6) is usually modified by using adequate turbulence models. For completeness, in the present version of the developed computational code, the viscosity µ is the sum of the molecular viscosity and an additional viscosity calculated by the Large Eddy Simulation (LES) model reported by Sagaut, Troff, Lê, and Loc (1996). This additional viscosity was found to help to stabilize computations for the most non linear sloshing cases studied in Ducassou (2016).…”

Section: Numerical Methods For Ns Equationsmentioning

confidence: 99%

A fictitious domain approach based on a viscosity penalty method to simulate wave/structure interaction

Ducassou

Núñez

Cruchaga

et al. 2017

Journal of Hydraulic Research

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This work presents an original numerical model for a free surface flow interacting with a spring-block system. The formulation is based on the fictitious domain approach and a penalty method on viscosity to describe the rigid solid motion. The incompressible Navier-Stokes equations are solved in the whole domain and the free surface and the body contour are captured using a Volume of Fluid method. To describe the rigid body motion, a single degree of freedom model, able to represent translation or rotation, is embedded in the code. The discrete equations are written in a well known finite volume framework over Cartesian grids. In such a context, the external spring and damping forces are represented as body forces in the solid region. The proposed strategy is tested in a sloshing damping system. The numerical results are compared with experimental data obtained within the present study. Finally, the method is used to simulate a wave energy converter system as an illustration of a rotational case.

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Direct testing of subgrid scale models in large‐eddy simulation of a non‐isothermal turbulent jet

Gago

Garnier

Utheza³

2003

Numerical Methods in Fluids

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International audienceA comparative assessment of subgrid models of compressible large-eddy simulations is performed for a temporally evolving heated round jet at a low Mach number. Initially, the temperature difference with respect to the ambient is chosen according to the one at the nozzle exit of a typical aircraft engine. Subgrid modelling in both the momentum and the energy equations is then necessary to close the problem. As basic models, we have considered the compressible versions of the Smagorinsky model, the mixed-scale model (which can be defined as a dynamic-type model) and the similarity model. The first two models are also supplemented with the similarity model or/and a selective function. Large-eddy simulations (LES) results are compared with those obtained from a direct numerical simulation (DNS). Thus to allow correspondence between DNS and LES the Reynolds number, in the present study, is still not very high and equal to 500. Among the cases investigated the hybrid Smagorinsky model (linear combination of the Smagorinsky model and the similarity model) displays the best performances, especially when dealing with the turbulent stresses and the turbulent heat flux. Copyright (C) 2003 John Wiley Sons, Ltd

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Large Eddy Simulation of Turbulent Flow past a Backward Facing Step with a new Mixed Scale SGS Model

Cited by 7 publications

References 6 publications

Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows

Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows

A fictitious domain approach based on a viscosity penalty method to simulate wave/structure interaction

Direct testing of subgrid scale models in large‐eddy simulation of a non‐isothermal turbulent jet

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