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drag minimization.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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On a shape control problem for the stationary Navier-Stokes equations
Max D. Gunzburger, Hongchul Kim, Sandro Manservisi
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 34 / Issue 6 / November 2000

Published online by Cambridge University Press:

15 April 2002, pp. 1233-1258

Print publication:

November 2000
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An optimal shape control problem for the stationary Navier-Stokessystem is considered. An incompressible, viscous flow in atwo-dimensional channel is studied to determine the shape of part ofthe boundary that minimizes the viscous drag. Theadjoint method and the Lagrangian multiplier method are used to derivethe optimality system for the shapegradient of the design functional.