The Variation of the Drag with Respect to the Domain in Navier-Stokes Flow
Juan A. Bello, Enrique Fernández‐Cara, Jacques Simon · Birkhäuser Basel eBooks · 1992
This paper deals with optimal profiles in Navier-Stokes regime. Let us introduce an initial body B and assume that an admissible variation of B is represented by vector fields u , i.e. that a “modified” bodies is given by B + u = x + u ( x ); x ∈ B . We prove that the mapping u → J ( B + u ), where J ( B + u ) is the drag associated with B + u , is Fréchet-differentiable at 0. We also apply some known results to the computation of the derivative. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.