Improved Prediction of Turbomachinery Flows Using Near-Wall Reynolds-Stress Model

Gerolymos, G. A.; Neubauer, J.; Sharma, Vatsalya; Vallet, I.

doi:10.1115/1.1426083

Cited by 44 publications

(6 citation statements)

References 93 publications

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“…However, this simplified form (Equation (17)) is numerically very stable at the wall. This increased numerical stability is very practical when computing complex flows over complex geometries [50,60]. The rapid part closure was proposed by Naot et al [61,62] which also corresponds to one of the proposals of Launder et al [63]…”

Section: The Launder-shima-sharma Rsm (Lss Rsm)mentioning

confidence: 78%

Reynolds‐stress modelling of M = 2.25 shock‐wave/turbulent boundary‐layer interaction

Vallet

2007

Numerical Methods in Fluids

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SUMMARY M = 2.25 shock-wave/turbulent-boundary-layer interactions over a compression ramp for several angles (8, 13 and 18 • ) at Reynolds-number Re 0 = 7 × 10 3 were simulated with three low-Reynolds secondmoment closures and a linear low-Reynolds standard k-ε model. A detailed assessment of the turbulence closures by comparison with both mean-flow and turbulent experimental quantities is presented. The Reynolds-stress model which is wall-topology free and which uses an optimized redistribution closure, is in good agreement with experimental data both for wall-pressure and mean-velocity profiles. Detailed analysis of three components of the Reynolds-stress tensor (comparison with measurements and transport-equation budgets) provides a critical evaluation of full Reynolds-stress models for the separated supersonic compression ramp. The discrepancy observed in the shock-wave foot region, between computations and measurements for the Reynolds-stresses profiles, could be explained by considering the experimental shock-wave oscillation and directions for future modelling work are indicated.

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Section: The Launder-shima-sharma Rsm (Lss Rsm)mentioning

confidence: 78%

Reynolds‐stress modelling of M = 2.25 shock‐wave/turbulent boundary‐layer interaction

Vallet

2007

Numerical Methods in Fluids

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“…For all of the computations illustrated in the present paper, turbulent stresses were modelled by a differential 7-equation Reynolds-stress model (Gerolymos and Vallet 2002), which is particularly well suited for the complex flows encountered in turbomachinery computations (Gerolymos et al 2002b). …”

Section: Numericsmentioning

confidence: 99%

Filtered chorochronic interface as a capability for 3-D unsteady throughflow analysis of multistage turbomachinery

Gerolymos

2013

International Journal of Computational Fluid Dynamics

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This note reviews the widely used phased-lagged [Erdos, J. L., E. Alzner, and W. McNally. 1977. AIAA Journal 15: 1559-68.] approach and corresponding chorochronic interface relations [Gerolymos G. A., G. J. Michon, and J. Neubauer. 2002. Journal of Propulsion and Power 18: 1139-52.] and explores its potential extension to the approximate unsteady throughflow analysis of multistage turbomachinery. The basic relations pertaining to the binary blade-row interaction case, for which chorochronic periodicity is exact in a phase-averaged RANS framework, are briefly formulated, and selected computational examples illustrate the application of the method. Then, the filtered chorochronic interface is defined as the unsteady counterpart of the well-known mixing-plane concept. This interface takes into account only those tθ-waves which are compatible with the interaction of the immediately upstream and downstream blade-rows. The concept, which is similar to the decompositionand-superposition method [Li, H. D., and L. He. 2005. ASME Journal of Turbomachinery 127: 589-98.], is illustrated by 3-D computations of a 1 2 -stage transonic compressor.Nomenclature f frequency (Hz) f frequency (Hz) associated with the rotational speed | | = 2πf f n BR ,m BR frequency associated with the chorochronic periodicity of the binary interaction between blade-rows n BR and m BR (5a) BR grid-block index (a block may contain several domains, all associated with the pitch and rotational speed of the same blade-row) L θ number of nonzero θ -harmonics retained in the chorochronic series, used in the computations and postprocessing N B number of blades in a blade-row n BR blade-row index N BR total number of blade-rows n D grid-domain index n t time-harmonic index N t number of t-harmonics used in the computations and postprocessing n θ azimuthal harmonic index (2π -periodic) N PP number of points-per-period defining the time-step for the unsteady simulations (4, 7) m massflow (kg s −1 ) m WL working-line massflow (kg s −1 ) M Mach-number * Email: georges.gerolymos@upmc.fr p pressure (Pa) s entropy (J kg −1 K −1 ) t time (s) t COMP time duration simulated by the unsteady computation V absolute-flow velocity (m s −1 ) v(t, x, R, θ) flow-variables vector at (t, x, R, θ ) v n BR ,m BR unsteady-interaction flowfield, associated with the binary interaction between bladerows n BR and m BR in the decompositionand-superposition technique for predicting flows with multiple frequencies of He (1992), used in the formulation of multistage filtered chorochronic periodicity (6) v tθ -harmonics (chorochronic harmonics) of the flow-variables vector v (2, 3) w n BR ,m BR x-wise weight-function used (6) to filter out, at the chorochronic interface between blade-rows n BR and m BR , frequencies and phase-lags other than those associated with the binary interaction a FLTR fraction of blade-chord, defining the filterwidth (6c) (x, R, θ ) cylindrical system-of-coordinates (x is the engine axis) (x, y, z) corresponding Cartesian system-ofcoordinates (x is the engine a...

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“…14) is numerically very stable at the wall and is very practical when computing complex flows over complex geometries. 3 The rapid-homogeneous term φ RH ij corresponds to the form proposed by Naot et al 35,36 (Eq. 11).…”

Section: Iib the Gerolymos-vallet Wall-normal-free Rsm (Gv Rsm)mentioning

confidence: 99%

“…Experience with a previously developed second-moment closure 1 in complex flows around or inside complex geometries [2][3][4][5][6] has shown satisfactory prediction of separation, with a slightly slower than experiment reattachment behavior. Furthermore the Reynolds-stress model developed by Gerolymos and Vallet (GV RSM 1 ) follows Lumley's 7 suggestion to model together redistribution and the anisotropy of dissipation (φ ij − ε ij + 2 3 εδ ij ).…”

Section: Introductionmentioning

confidence: 99%

Near-wall second moment closure based on DNS analysis of pressure correlations

Vallet

Younis

2011

41st AIAA Fluid Dynamics Conference and Exhibit

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The purpose of the present paper is to use recent DNS results for the quadruple decomposition of pressure fluctuations in wall turbulence (rapid/slow and volume/wall terms) in the development of a new near-wall wall-normal free second-moment closure for wall-bounded flows. Based on the comparison of existing models with DNS results we propose the addition of new inhomogeneous terms in the tensorial representations for pressure diffusion and for pressure-strain redistribution, and calibrate the proposed representations both a priori and a posteriori. The resulting model is then assessed by comparison with experimental data for flat-plate boundarylayer, separating diffuser and shock-wave/boundary-layer interaction flows. The overall behavior of the model is quite satisfactory and we analyze in detail the particular points which can be improved. These drawbacks, mainly related with the wall-layer asymptotic behavior of the Reynolds-stresses, are common to many existing closures, and it is suggested that to improve this behavior a model including transport equations for the components of the dissipation tensor should be developed. * Institut d'Alembert, case 161, 4 place Jussieu,

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Improved Prediction of Turbomachinery Flows Using Near-Wall Reynolds-Stress Model

Cited by 44 publications

References 93 publications

Reynolds‐stress modelling of M = 2.25 shock‐wave/turbulent boundary‐layer interaction

Reynolds‐stress modelling of M = 2.25 shock‐wave/turbulent boundary‐layer interaction

Filtered chorochronic interface as a capability for 3-D unsteady throughflow analysis of multistage turbomachinery

Near-wall second moment closure based on DNS analysis of pressure correlations

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