Abstract
The linear analysis of turbomachinery aeroelasticity relies on the assumption of small level of unsteadiness and requires the solution of both the nonlinear steady and the linear unsteady flow equations. The objective of the analysis is to compute a complex flow solution which represents the amplitude and phase of the unsteady flow for the frequency of unsteadiness of interest. The solution procedure of the linear harmonic Euler/Navier-Stokes solver often consists of a preconditioned fixed-point iteration which in some circumstances may become numerically unstable. The paper summarizes the use of the Recursive Projection Method and the Generalized Minimum Residuals algorithm to provide stabilization and presents a realistic application of both approaches.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
M S Campobasso, M B Giles: ’Analysis of the effect of mistiming on turbomachinery aeroelasticity’. In: Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines, 2nd International Symposium in Lyon, France, September 4–8, 2000, ed. by Pascal Ferrand, Staphane Aubert (Presses Universitaires de Grenoble) pp. 885–896.
M.S. Campobasso, M.B. Giles: ’Effect of Flow Instabilities on the Linear Analysis of Turbomachinery Aeroelasticity’, AIAA paper 2002–4085, Indianapolis 2002.
M.C. Duta: The use of the Adjoint Method for the Minimization of Forced Response, PhD Thesis, Oxford University, Oxford (2001).
K.C. Hall: Deforming grid variational principle for unsteady small disturbance flows in cascades, AIAA J. 5, 31 (1993).
J.G. Marshall and M. Imregun: A review of aeroelasticity methods with emphasis on turbomachinery applications, J. of Fluid and structures 3, 10 (1996).
P. Moinier: Algorithm developments for an unstructured viscous flow solver, PhD Thesis, Oxford University, Oxford (1999).
Y. Saad: Iterative methods for sparse linear systems (PWS Publishing Company, Boston 1996).
G.M. Shroff and H.B. Keller: Stabilization of Unstable Procedures: the Recursive Projection Method, J. of Applied Mathematics 4, 30 (1993).
J.M. Verdon: Review of Unsteady Aerodynamic Methods for Turbomachinery Aeroelastic and Aeroacoustic Applications, AIAA J. 2, 31 (1993).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag berlin Heidelberg
About this paper
Cite this paper
Sergio Campobasso, M., Giles, M.B. (2003). Stabilization of a Linearized Navier-Stokes Solver for Turbomachinery Aeroelasticity. In: Armfield, S.W., Morgan, P., Srinivas, K. (eds) Computational Fluid Dynamics 2002. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59334-5_50
Download citation
DOI: https://doi.org/10.1007/978-3-642-59334-5_50
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63938-8
Online ISBN: 978-3-642-59334-5
eBook Packages: Springer Book Archive