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On a shape control problem for the stationary Navier-Stokes equations

Max D. Gunzburger;  Hongchul Kim;  Sandro Manservisi — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

An optimal shape control problem for the stationary Navier-Stokes system is considered. An incompressible, viscous flow in a two-dimensional channel is studied to determine the shape of part of the boundary that minimizes the viscous drag. The adjoint method and the Lagrangian multiplier method are used to derive the optimality system for the shape gradient of the design functional.

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