Hopf-bifurcation analysis is used to determine flutter onset for a pitch-and-plunge airfoil at transonic Mach number conditions. The pitch-and-plunge model is a coupling of the Euler equations and a two- Degree-of-freedom structural model composed of linear and torsional springs. The Euler equations are Discretized using the upwind total variation diminishing scheme of Harten and Yee. Equilibrium solutions Of the aeroelastic model are computed using Newton's method, and dynamic solutions are explicitly Integrated in time with first-order accuracy.
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