Sensitivity analysis. Shape gradient of the drag functional
In this chapter we study domain dependence of stationary solutions to compressible Navier-Stokes equations. The main goal is to prove the existence and obtain a robust representation for the derivatives of solutions with respect to smooth deformations of the flow domain. We apply these results to analysis of the drag minimization problem for the flow around a moving body, and derive formulae for the variations of the drag with respect to the variations of the body.
KeywordsSensitivity Analysis Banach Space Weak Solution Transport Equation Dual Space
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