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.
Gunzburger M.D., Hongchul K., Manservisi S. (2000). On a shape control problem for the stationary Navier-Stokes equations. MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE, 34(6), 1233-1258 [10.1051/m2an:2000125].
On a shape control problem for the stationary Navier-Stokes equations
Manservisi S.
2000
Abstract
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.File in questo prodotto:
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