Large Eddy Simulations of a spatially developing incompressible 3D mixing layer using the v–ω formulation

Tenaud, Christian; Pellerin, Stéphanie; Dulieu, Annie; Phuoc, L. Ta

doi:10.1016/j.compfluid.2004.03.003

Cited by 31 publications

(15 citation statements)

References 43 publications

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“…Mixing layer flows, however, are known to exhibit a hypersensitivity to their initial conditions [3,22], and it is reasonable to assume that the simulated mixing layer will also display this behaviour. Balaras et al [23] have shown that the evolution of temporal mixing layers is significantly affected by the nature of the inflow condition, whilst Tenaud et al [16] demonstrated that the use of an analytical Whitfield profile [24] to describe a turbulent inflow condition required large freestream disturbance values to produce a growth rate in the layer that was comparable to experiment. For mixing layers that initiate from laminar conditions, there has been no direct comparison on the effects of using a hyperbolic tangent or boundary layer profile to describe the inflow condition of the layer.…”

Section: Introductionmentioning

confidence: 97%

“…Analytical hyperbolic tangent profiles [14,18,19], time-dependent inflow data from precursor boundary layer (BL) simulations [20], and analytical BL profiles [16,21] have all been used to describe the initial condition of the flow in both direct numerical simulation (DNS) and LES, with each study giving reasonably good comparisons with their respective reference experiments. Mixing layer flows, however, are known to exhibit a hypersensitivity to their initial conditions [3,22], and it is reasonable to assume that the simulated mixing layer will also display this behaviour.…”

Section: Introductionmentioning

confidence: 99%

“…Whilst spatially developing mixing layer simulations should offer a direct comparison with experimental work, the requirement of specifying a non-reflective boundary condition at the outflow plane of the domain greatly adds to the computational cost of the simulation. Past research into the numerical simulation of spatially developing mixing layers is very sparse, with most of the work focusing on validating numerical schemes [14][15][16]. To the authors' knowledge, only one study has focused on proving the large eddy simulation (LES) methodology for use in simulating fully three-dimensional mixing layers that undergo transition to turbulence [17].…”

Section: Introductionmentioning

confidence: 99%

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A comparative study of inflow conditions for two‐ and three‐dimensional spatially developing mixing layers using large eddy simulation

McMullan

Gao

Coats

2007

Numerical Methods in Fluids

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SUMMARYA series of spatially developing mixing layers are simulated using the large eddy simulation (LES) technique. A hyperbolic tangent function and data derived from boundary layer simulations are used to generate the inflow condition, and their effects on the flow are compared. The simulations are performed in both two and three dimensions. In two-dimensional simulations, both types of inflow conditions produce a layer that grows through successive pairings of Kelvin-Helmholtz (K-H) vortices, but the composition ratio is lower for the hyperbolic tangent inflow simulations. The two-dimensional simulations do not undergo a transition to turbulence. The three-dimensional simulations produce a transition to turbulence, and coherent structures are found in the post-transition region of the flow. The composition ratio of the three-dimensional layers is reduced in comparison to the counterpart two-dimensional runs. The mechanisms of growth are investigated in each type of simulation, and amalgamative pairing interactions are found in the pre-transition region of the three-dimensional simulations, and throughout the entire computational domain of those carried out in two-dimensions. The structures beyond the post-transition region of the three-dimensional simulations appear to behave in a much different manner to their pre-transition cousins, with no pairingtype interactions observed in the turbulent flow. In order to accurately simulate spatially developing mixing layers, it is postulated that the inflow conditions must closely correspond to the conditions present in the reference experiment.

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Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A comparative study of inflow conditions for two‐ and three‐dimensional spatially developing mixing layers using large eddy simulation

McMullan

Gao

Coats

2007

Numerical Methods in Fluids

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“…Zhou & Pereira (2000) and Wang & Milane (2006) have performed two-dimensional spatial simulations which successfully replicated the entrainment, mixing and chemical reaction in the low-Reynolds-number isothermal reacting mixing layer studied experimentally by Masutani & Bowman (1986) whilst two-dimensional simulations of fully turbulent laboratory mixing layers have been attempted by Jaberi et al (1999) and Yang et al (2004aYang et al ( , 2004b. Three-dimensional simulations of fully turbulent laboratory mixing layers have been reported by Li, Balaras & Piomelli (2000), Tenaud et al (2005), Li, Balaras & Wallace (2010) and Biancofiore (2014). In most of these studies the principal motivation for making comparisons with experimental data has been to test aspects of the LES methodology and in no case was any very detailed study made of the evolution of the coherent structures.…”

Section: Introductionmentioning

confidence: 99%

Organised large structure in the post-transition mixing layer. Part 2. Large-eddy simulation

McMullan¹,

Gao²,

Coats³

2014

J. Fluid Mech.

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Three-dimensional large-eddy simulations of two-stream mixing layers developing spatially from laminar boundary layers are presented, replicating wind-tunnel experiments carried out in Part 1 of this study. These simulations have been continued through the mixing transition and into the fully turbulent self-similar flow beyond. In agreement with the experiments, the simulations show that the familiar mechanism of growth by vortex amalgamation is replaced at the mixing transition by a previously unrecognised mechanism in which the spanwise-coherent large structures individually undergo continuous linear growth. In the post-transition flow it is this continuous linear growth of the individual structures that produces the self-similar growth of the mixing-layer thickness, the large-structure interactions occurring as a consequence of the growth, not its cause. New information is also presented on the topography of the organised post-transition flow and on its cyclical evolution through the lifetimes of the individual large structures. The dynamic and kinematic implications of these findings are discussed and shown to define quantitatively the growth rate of the homogeneous post-transition mixing layer in its organised state. _______________________________________________________________

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“…23,24 The capability of Large Eddy Simulation (LES) to capture the large-scale structures of the flow has been demonstrated, 25 yet very few LES studies of the fully three-dimensional flow have compared simulation data directly to experiment. 26,27,28 Recent work by the present authors has demonstrated that the use of a 'white-noise' type fluctuation superposed onto the inflow condition does not result in a simulation which predicts stationary streamwise vortices, 29 a feature that has also been observed in previous simulations of the pre-transition mixing layer. 22 Further, an initially-turbulent mixing layer simulation also did not produce statistically stationary streamwise structures.…”

mentioning

confidence: 59%

The Effect of Initial Conditions on Streamwise Vortices in the Plane Turbulent Mixing Layer

McMullan

Garrett

2015

22nd AIAA Computational Fluid Dynamics Conference

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In this research we investigate the effect of inflow conditions on the streamwise vortices that exist in the plane turbulent mixing layer. Both initially-laminar and initially-turbulent mixing layers are considered here. The effect of the imposed fluctuations is assessed in the initially-laminar mixing layer simulations through the use of a white noise disturbance environment, and a physically-correlated fluctuation environment produced by an inflow generation method. The initially-turbulent mixing layer has its inflow condition produced by the inflow generation method. Each simulation produces good statistical agreement with the experimental data. The initially-laminar simulation with correlated fluctuations predicts the presence of statistically stationary streamwise vortices, whilst the other two simulations do not.

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Large Eddy Simulations of a spatially developing incompressible 3D mixing layer using the v–ω formulation

Cited by 31 publications

References 43 publications

A comparative study of inflow conditions for two‐ and three‐dimensional spatially developing mixing layers using large eddy simulation

A comparative study of inflow conditions for two‐ and three‐dimensional spatially developing mixing layers using large eddy simulation

Organised large structure in the post-transition mixing layer. Part 2. Large-eddy simulation

The Effect of Initial Conditions on Streamwise Vortices in the Plane Turbulent Mixing Layer

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