Wing-Rock limit cycle oscillation prediction based on computational fluid dynamics

Badcock, K. J., Woodgate, M. A., Allan, M.R. and Beran, P. S. (2008) Wing-Rock limit cycle oscillation prediction based on computational fluid dynamics. Journal of Aircraft, 45(3), pp. 954-961. (doi: 10.2514/1.32812)

Abstract

The investigation of flight dynamics instability, when based on computational fluid dynamics level aerodynamics, is traditionally done in the time domain. It is, however, possible to look to the behavior of the eigenspectrum of the Jacobian of the semidiscrete system to obtain information at a reduced computational cost. The central computational task in this approach is to solve a sparse linear system, with a key issue being the calculation of an effective parallel preconditioner. With a knowledge of the bifurcation angle and the critical eigenvalue/eigenvector, it is possible to develop a reduced-order model which can predict the limit cycle amplitude postbifurcation. In this paper the shifted inverse power method, built on a preconditioned sparse matrix solver, is used to predict the wing-rock onset angle of an 80-deg delta wing. The postbifurcation limit cycle oscillations are then calculated using a reduced model which uses knowledge of the critical mode of the system. This problem is considered here as a prototype flight dynamics instability.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: UNSPECIFIED
• Authors: Badcock, K. J., Woodgate, M. A., Allan, M.R., and Beran, P. S.
• College/School: College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
• Journal Name: Journal of Aircraft
• ISSN: 0021-8669
• Published Online: 01 January 2008