Section: New Results

Sensitivity analysis for unsteady flows

Participants : Régis Duvigneau, Dominique Pelletier [Ecole Polytechnique Montreal] , Alexander Hay [Ecole Polytechnique Montreal] .

Although sensitivity analysis is now commonly used for steady systems, usually on the basis of the adjoint equation method, the application to unsteady problems is still tedious, due to the backward time integration required. Therefore, an alternative approach, namely the sensitivity equation method, has been studied in the framework of the compressible Navier-Stokes equations. A continuous version has preferred to the discrete one for its flexibility and easier implementation. The proposed approach has been verified on several problems of increasing difficulty and the computational efficiency quantified [42] .