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Recent years have seen a remarkable progress in aerodynamic design optimisation based on the adjoint methods to efficiently compute the sensitivities of steady-state objective functions to changes in design variables. Following this success, this book establishes an unsteady adjoint analysis whose purpose is the calculation of the linear worksum typically used in turbomachinery aeroelastic applications. The emphasis falls on the algorithmic development of the adjoint time-harmonic method, which is derived from a nonlinear flow analysis using the discrete approach. In this approach, the...