Abstract
AbstractA method for the direct computation of the instantaneous sensitivities of unsteady compressible flows is proposed. It is based on the complex differentiation of the full compressible Navier–Stokes equations and does not require the storage of the unsteady flow solution to be differentiated. The method does not rely on any assumption on the basic Navier–Stokes solver, and can therefore be implemented in a straightforward way. The method is assessed on several cases, including a two‐dimensional subsonic mixing layer. It is observed that the sensitivity patterns can be interpreted thanks to Kovasznay's decomposition for perturbations in a compressible flow. Copyright © 2006 John Wiley & Sons, Ltd.
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