Large-Eddy Simulation of the Shock/Turbulence Interaction

Ducros, F.; Ferrand, V.; Nicoud, Franck; Weber, Carlos; Darracq, Denis; Gacherieu, Cyril; Poinsot, Thiérry

doi:10.1006/jcph.1999.6238

Cited by 618 publications

(280 citation statements)

References 39 publications

(60 reference statements)

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“…The code makes use of the entropy splitting of the Euler terms and the laplacian formulation of the viscous terms to enhance the stability of the nondissipative central scheme (see Sandham et al [42]). In addition, a variant of the standard total variation diminishing scheme is used for shock capturing [57], coupled with the Ducros sensor [10]. Periodic boundary conditions are used in the spanwise direction, while the no-slip condition is enforced at the wall, which is set to be isothermal.…”

Section: Governing Equationsmentioning

confidence: 99%

Large-eddy simulation of low-frequency unsteadiness in a turbulent shock-induced separation bubble

Touber

Sandham

2009

Theor. Comput. Fluid Dyn.

426

239

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The need for better understanding of the low-frequency unsteadiness observed in shock wave/turbulent boundary layer interactions has been driving research in this area for several decades. We present here a large-eddy simulation investigation of the interaction between an impinging oblique shock and a Mach 2.3 turbulent boundary layer. Contrary to past large-eddy simulation investigations on shock/turbulent boundary layer interactions, we have used an inflow technique which does not introduce any energetically-significant low frequencies into the domain, hence avoiding possible interference with the shock/boundary layer interaction system. The large-eddy simulation has been run for much longer times than previous computational studies making a Fourier analysis of the low frequency possible. The broadband and energetic low-frequency component found in the interaction is in excellent agreement with the experimental findings. Furthermore, a linear stability analysis of the mean flow was performed and a stationary unstable global mode was found. The long-run large-eddy simulation data were analyzed and a phase change in the wall pressure fluctuations was found to coincide with the global-mode structure, leading to a possible driving mechanism for the observed low-frequency motions.Keywords shock boundary layer interaction · global mode · compressible turbulence · LES · low-frequency unsteadiness · separation bubble · digital filter · inflow turbulence PACS 47.40.Nm · 47.40.Ki · 47.27.ep

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Section: Governing Equationsmentioning

confidence: 99%

Large-eddy simulation of low-frequency unsteadiness in a turbulent shock-induced separation bubble

Touber

Sandham

2009

Theor. Comput. Fluid Dyn.

426

239

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“…⌿ is a sensor ͑Ducros et al 18 ͒ which takes low values where the flow is turbulent and values close to one in the vicinity of a shock,…”

Section: B Entropy-splittingmentioning

confidence: 99%

Strong interaction of a turbulent spot with a shock-induced separation bubble

Krishnan

Sandham

2007

Physics of Fluids

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Direct numerical simulations have been conducted to study the passage of a turbulent spot through a shock-induced separation bubble. Localized blowing is used to trip the boundary layer well upstream of the shock impingement, leading to mature turbulent spots at impingement, with a length comparable to the length of the separation zone. Interactions are simulated at free stream Mach numbers of two and four, for isothermal ͑hot͒ wall boundary conditions. The core of the spot is seen to tunnel through the separation bubble, leading to a transient reattachment of the flow. Recovery times are long due to the influence of the calmed region behind the spot. The propagation speed of the trailing interface of the spot decreases during the interaction and a substantial increase in the lateral spreading of the spot was observed. A conceptual model based on the growth of the lateral shear layer near the wingtips of the spot is used to explain the change in lateral growth rate.

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“…This is achieved by the use the sensor function of Ducros et al (20) to control ε 1 , based upon the vorticity Ω and divergence ∇• u.…”

Section: Discretisationmentioning

confidence: 99%

Large-eddy simulation of twin impinging jets in cross-flow

Page

McGuirk

2007

Aeronaut. j.

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The flow-field beneath a jet-borne vertical landing aircraft is highly complex and unsteady. large-eddy simulation is a suitable tool to predict both the mean flow and unsteady fluctuations. This work aims to evaluate the suitability of LES by applying it to two multiple jet impingement problems: the first is a simple twin impinging jet in cross-flow, while the second includes a circular intake. The numerical method uses a compressible solver on a mixed element unstructured mesh. The smoothing terms in the spatial flux are kept small by the use of a monitor function sensitive to vorticity and divergence. The WALE subgrid scale model is utilised. The simpler jet impingement case shows good agreement with experiment for mean velocity and normal stresses. Analysis of time histories in the jet shear layer and near impingement gives a dominant frequency at a Strouhal number of 0·1, somewhat lower than normally observed in free jets. The jet impingement case with an intake also gives good agreement with experimental velocity measurements, although the expansion of the grid ahead of the jets does reduce the accuracy in this region. Turbulent eddies are observed entering the intake with significant swirl. This is in qualitative agreement with experimental visualisation. The results show that LES could be a suitable tool when applied to multiple jet impingement with realistic aircraft geometry.

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Large-Eddy Simulation of the Shock/Turbulence Interaction

Cited by 618 publications

References 39 publications

Large-eddy simulation of low-frequency unsteadiness in a turbulent shock-induced separation bubble

Large-eddy simulation of low-frequency unsteadiness in a turbulent shock-induced separation bubble

Strong interaction of a turbulent spot with a shock-induced separation bubble

Large-eddy simulation of twin impinging jets in cross-flow

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