Gunzburger, Max Adjoint equation-based methods for control problems in incompressible, viscous flows. (English) Zbl 0996.76024 Flow Turbul. Combust. 65, No. 3-4, 249-272 (2000). Summary: A review of adjoint equation-based methodologies for viscous, incompressible flow control and optimization problems is given and illustrated by a drag minimization example. We discuss a number of approaches to ameliorating the high storage and CPU costs associated with straighforward implementations of adjoint equation based methodologies. Other issues, including the relative merits of the differentiate-then-discretize and discretize-then-differentiate approaches to deriving discrete adjoint equations, the incorporation of side constraints into adjoint equation-based methodologies, and inaccuracies that occur due to differentiations at the boundary, are also discussed. Cited in 25 Documents MSC: 76D55 Flow control and optimization for incompressible viscous fluids 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:adjoint equation-based methods; control problems; Navier-Stokes equations; viscous incompressible flow; drag minimization Software:Odyssee; ADIFOR PDF BibTeX XML Cite \textit{M. Gunzburger}, Flow Turbul. Combust. 65, No. 3--4, 249--272 (2000; Zbl 0996.76024) Full Text: DOI OpenURL