Lyapunov inverse iteration for stability analysis using computational fluid dynamics

S. Timme, K. J. Badcock, M. Wu, A. Spence

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The recently developed inexact Lyapunov inverse iteration method is presented for the analysis of aeroelastic and fluid stability problems with Hopf bifurcations when using computational fluid dynamics in the modelling. The idea is to take the Jacobian matrix and its derivative with respect to an independent parameter, both evaluated at an equilibrium point, to obtain estimates of the critical eigenpair in addition to the critical value of the independent parameter. Prior knowledge of a frequency estimate, required as shift in standard inverse iteration, is not needed. The test cases presented include a two-degrees- of-freedom aerofoil and a flexible wing encountering flutter, and unsteady vortex shedding behind a circular cylinder in low Reynolds number flow.

Original languageEnglish (US)
Title of host publication53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781600869372
DOIs
StatePublished - 2012
Externally publishedYes
Event53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012 - Honolulu, HI, United States
Duration: Apr 23 2012Apr 26 2012

Publication series

Name53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012

Other

Other53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012
CountryUnited States
CityHonolulu, HI
Period4/23/124/26/12

ASJC Scopus subject areas

  • Aerospace Engineering
  • Mechanical Engineering
  • Materials Science(all)
  • Surfaces and Interfaces

Fingerprint Dive into the research topics of 'Lyapunov inverse iteration for stability analysis using computational fluid dynamics'. Together they form a unique fingerprint.

  • Cite this

    Timme, S., Badcock, K. J., Wu, M., & Spence, A. (2012). Lyapunov inverse iteration for stability analysis using computational fluid dynamics. In 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012 (53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference 2012). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2012-1563