Prediction of Transonic Limit-Cycle Oscillations Using an Aeroelastic Harmonic Balance Method

W. Yao, S. Marques

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)
361 Downloads (Pure)


This work proposes a novel approach to compute transonic limit-cycle oscillations using high-fidelity analysis. Computational-Fluid-Dynamics based harmonic balance methods have proven to be efficient tools to predict periodic phenomena. This paper’s contribution is to present a new methodology to determine the unknown frequency of oscillations, enabling harmonic balance methods to accurately capture limit-cycle oscillations; this is achieved by defining a frequency-updating procedure based on a coupled computational-fluid-dynamics/computational-structural-dynamics harmonic balance formulation to find the limit-cycle oscillation condition. A pitch/plunge airfoil and delta wing aerodynamic and respective linear structural models are used to validate the new method against conventional time-domain simulations. Results show consistent agreement between the proposed and time-marching methods for both limit-cycle oscillation amplitude and frequency while producing at least a one-order-of-magnitude reduction in computational time.
Original languageEnglish
Pages (from-to)2040-2051
Number of pages12
JournalAIAA Journal
Issue number7
Publication statusPublished - Jul 2015


  • Aeroelasticity
  • Harmonic Balance
  • CFD
  • Transonic

ASJC Scopus subject areas

  • Aerospace Engineering
  • Computational Mechanics


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