Stück, ArthurArthurStückRung, ThomasThomasRung2020-06-262020-06-262013-01-17Journal of Computational Physics (248): 402-419 (2013)http://hdl.handle.net/11420/6474A hybrid-adjoint Navier-Stokes method for the pressure-based computation of hydrodynamic objective functional derivatives with respect to the shape is systematically derived in three steps: The underlying adjoint partial differential equations and boundary conditions for the frozen-turbulence Reynolds-averaged Navier-Stokes equations are considered in the first step. In step two, the adjoint discretisation is developed from the primal, unstructured finite-volume discretisation, such that adjoint-consistent approximations to the adjoint partial differential equations are obtained following a so-called hybrid-adjoint approach. A unified, discrete boundary description is outlined that supports high- and low-Reynolds number turbulent wall-boundary treatments for both the adjoint boundary condition and the boundary-based gradient formula. The third component focused in the development of the industrial adjoint CFD method is the adjoint counterpart to the primal pressure-correction algorithm. The approach is verified against the direct-differentiation method and an application to internal flow problems is presented.en1090-27162013402419ElsevierAdjoint Navier-StokesDual consistencyFinite-volume methodPressure-correction methodWall functionInformatikPhysikJournal Article10.1016/j.jcp.2013.01.002Journal Article