Abstract
Various methods are explored in the computation of time-periodic solutions for autonomous systems. The purpose of the work is to illuminate the capabilities and limitations of methods, including a new method developed as part of the work, not based on time integration, for the fast computation of limit-cycle oscillations (LCO). Discussion will focus on methodology, robustness, accuracy, and frequency prediction. Results for two simplified model problems are presented in which temporal discretization errors during LCO are taken to machine zero. One, a typical airfoil section with nonlinear structural coupling and the other, a nonlinear panel in high speed flow. Treatment of sharp transients during LCO is also discussed.
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