The aim of the present study is to extend the linear unsteady optimal-perturbation analysis of (Luchini 2000) to the nonlinear regime. In order to account for the nonlinear interactions, a Fourier expansion is applied in the streamwise direction and in time and the solution is decomposed in Fourier modes along both z and t. The optimal unsteady spanwise-sinusoidal leading-edge excitation that provides the maximum energy growth for a given initial energy and frequency can thus be determined. Of interest will be that the optimal growth decreases with both.

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