Abstract
This paper describes a new computational tool developed for the analysis of two or three dimensional, viscous or inviscid turbomachinery flutter and forced response problems. Time harmonic results are obtained by linearizing the underlying steady flow numerical algorithm, including the k-ω turbulence model. Solutions are obtained via explicit time marching, with multigrid, on multiblock grids. We present results that focus on the role of the linearization of the viscous terms and the turbulence model in the accurate computation of linearized unsteady flows.
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References
Arnone, A. (1995) Multigrid methods forturbomachinery Navier-Stokes calculations. In Solution Techniques for Large-Scale CFD problems, ed. Wagdi G. Habashi, John Wiley & Sons, Chichester.
Bölcs, A. & Fransson, T. H. (1986) Aeroelasticity in turbomachines: comparison of theoretical and experimental cascade results. AFOSR-TR-87-0605.
Connell, S. D., Holmes, D. G. & Braaten, M. E. (1993) Adaptive unstructured 2d Navier-Stokes solutions on mixed quadrilateral/triangular meshes ASME paper 93-GT-99.
Florea, R., Hall, K. C. & Cizmas, P. G. A. (1996) Reduced order modelling of unsteady viscous flow in a compressor cascade. AIAA Paper 96-2572.
Fransson, T. H., & Verdon, J. M. (1993) Panel discussion of standard configurations for unsteady flow through vibrating axial-flow turbomachines cascades. In Unsteady Aerodynamics, Aeroacoustics, and Aeroelasticity of Turbomachines and Propellers, ed. H. M. Atassi, Springer-Verlag, New York.
Giles, M. B. (1990) Nonreflecting boundary conditions for Euler equation calculations. AIAA Journal, 28, 2050–2058.
Hall, K. C. (1997) Personal communiation.
Hall, K. C., Clark, W S & Lorence, C. B. (1994) A linearized Euler analysis of unsteady transonic flows in turbomachinery. ASME Journal of Turbomachinery, 116, 477–488.
Hall, K. C. & Crawley, E. F. (1989) Calculation of unsteady flows in turbomachinery using the linearized Euler equations. AIAA Journal, 27, 777–787.
Holmes, D. G. & Chuang, H. A. (1993) 2D linearized harmonic Euler flow analysis for flutter and forced response. In Unsteady Aerodynamics, Aeroacoustics, and Aeroelasticity of Turbomachines and Propellers, ed. H. M. Atassi, Springer-Verlag, New York.
Jameson, A., et al (1981) Numerical solution of the Euler equations by finite volume methods using Runge-Kutta time-stepping schemes. AIAA Paper 81-1259.
Jameson, A. (1983) Solution of the Euler equations for two dimensional transonic flow by a multigrid method. App. Math. and Comp., 13, 327–355.
Launder, B. E. & Kato, M. (1993) Modelling flow-induced oscillations in turbulent flow around a square cylinder. ASME FED, 57, 189–199.
Lindquist, D. R. & Giles M. B. (1994) Validity of linearized unsteady Euler equations with shock capturing. AIAA Journal, 32, 46–53.
Martinelli, L. & Jameson, A. (1988) Validation of a multigrid method for the Reynolds averaged equations. AIAA Paper 88-0414.
Ni, R. H. & Sisto, F (1976) Numerical computation of nonstationary aerodynamics of flat plate cascades in compressible flows. Trans. ASME J. Engineering for Power 98, 165–170.
Verdon, J. M. (1993) Unsteady aerodynamic methods for turbomachinery aeroelastic and aeroacoustic applications. AIAA Journal, 31, 235–250.
Wilcox, D. C. (1988) Reassessment of the scale-determining equation for advanced turbulence models. AIAA Journal 28, 1299–1310.
Wilcox, D. C. (1989) Wall matching, a rational alternative to wall functions. AIAA Paper 89-0611.
Wilcox, D. C. (1993) Turbulence Modelling for CFD. DCW Industries, La Cañada, California.
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Holmes, D.G., Lorence, C.B. (1998). Three Dimensional Linearized Navier-Stokes Calculations for Flutter and Forced Response. In: Fransson, T.H. (eds) Unsteady Aerodynamics and Aeroelasticity of Turbomachines. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5040-8_14
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DOI: https://doi.org/10.1007/978-94-011-5040-8_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6116-2
Online ISBN: 978-94-011-5040-8
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