Time-Linearized Time-Harmonic 3-D Navier-Stokes Shock-Capturing Schemes

Chassaing, Jean-Camille; Gerolymos, G. A.

doi:10.2514/6.2004-2817

Cited by 2 publications

(3 citation statements)

References 84 publications

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“…This paper being oriented towards forced response prediction, forcing function estimation techniques are presented here. For the aeroelastic stability determination, the reader can refer to [4], [5] and [12]. It can be mentioned that the total damping of the structure must be known for the forced response analysis.…”

Section: Cfd Toolsmentioning

confidence: 99%

Forced Response Prediction: Methodology for the Design of HP Compressors Bladed Disks

Seinturier¹,

Lombard²,

Dumas³

et al. 2004

Volume 6: Turbo Expo 2004

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This paper presents a general approach related to bladed disk forced response prediction and a typical way to use it in the design process. Firstly, a good confidence level in prediction tools must be reached. The first application is a highly instrumented HP compressor blisk representative of a real engine environment. Simulation of forced response is compared to measurements in order to check the accuracy of prediction. For this test case, the results obtained are in very good agreement with measurements. The good quality of prediction is due to the complete characterization performed on the test case: all the influent parameters were identified before testing. But during the design process, many important parameters are unknown and this level of accuracy can not be obtained. Nevertheless, forced response prediction in the early design process can provide interesting information even if uncertainties are high for some parameters. As an illustration, a second application is proposed, based on the design experience of a new HP compressor of a known engine family. Some forced response predictions were performed during development and compared afterwards with measurements obtained during engine testing. This analysis has permitted to confirm some technical choices and to assess the High Cycle Fatigue risk associated to this new engine configuration.

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Section: Cfd Toolsmentioning

confidence: 99%

Forced Response Prediction: Methodology for the Design of HP Compressors Bladed Disks

Seinturier¹,

Lombard²,

Dumas³

et al. 2004

Volume 6: Turbo Expo 2004

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“…There are mainly two different approaches for the computation of time-periodic unsteady flows in turbomachinery (He 2010), the time-marching methods (Erdos et al 1977), which time-integrate the flow equations, and the nonlinear harmonic (Chen et al 2001;He 2008;McMullen, Jameson, and Alonso 2006) and harmonic-balance (Hall et al 2002;Hall 2007, 2008) methods, which solve a coupled set of timeindependent problems to determine the Fourier coefficients of the decomposition of the flow into harmonics, eventually with multiple fundamental frequencies (He 1992;Li and He 2002;Ekici and Hall 2008). The introduction of nonlinearity, through coupling between the equations for various harmonics (Hall et al 2002), is essential to resolve the instability problems observed in the fully linearised harmonic approaches Giles 2003, 2004;Agarwal, Morris, and Mani 2004;Chassaing and Gerolymos 2008), by nonlinear saturation of the amplitude of instabilities, as shown in He (2008), who analyses the nonlinear harmonic method Ning and He 1998).…”

Section: Introductionmentioning

confidence: 98%

“…The comparison of performance between the time-marching and the harmonic approaches depends on the particular computational case. If the multiharmonic content of the flow is small, so that only a few harmonics are required, the computational gain by use of harmonic methods is high, especially for low reduced frequencies (Chassaing and Gerolymos 2008). On the other hand, when multiharmonic content of the flow is important and reduced frequencies are high, well-tuned dual-time-stepping time-marching methods (Chassaing, Gerolymos, and Vallet 2003b) become quite competitive (Haugeard 1996).…”

Section: Introductionmentioning

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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Time-Linearized Time-Harmonic 3-D Navier-Stokes Shock-Capturing Schemes

Cited by 2 publications

References 84 publications

Forced Response Prediction: Methodology for the Design of HP Compressors Bladed Disks

Forced Response Prediction: Methodology for the Design of HP Compressors Bladed Disks

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

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