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Adjoint equation-based methods for control problems in incompressible, viscous flows. (English) Zbl 0996.76024

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.

MSC:

76D55 Flow control and optimization for incompressible viscous fluids
76D05 Navier-Stokes equations for incompressible viscous fluids

Software:

ADIFOR; Odyssee
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