Aeroelastic Solutions Using the Nonlinear Frequency-Domain Method

Abstract

In this work, both fully implicit time-domain and nonlinear frequency-domain methods are used to compute aeroelastic solutions in transonic flows. Specifically, flutter boundaries for a two-dimensional NACA64A010 airfoil are calculated and compared with preexisting numerical results. The second-order backward-difference time-accurate scheme will serve as our numerical benchmark when determining the computational efficiency of the nonlinear frequency-domain method. Comparable results between the time-domain and nonlinear frequency-domain approaches will further justify the nonlinear frequency-domain method as an efficient alternative to the study of unsteady periodic problems. A temporal resolution study will establish the required number of modes or time steps per period required for unsteady transonic flows.