Sensitivity analysis of a shape control problem for the Navier--Stokes equations

Hongchul Kim

Abstract


We deal with a sensitivity analysis of an optimal shape control problem for the stationary Navier-Stokes system. A two-dimensional channel flow of an incompressible, viscous fluid is examined to determine the shape of a bump on a part of the boundary that minimizes the viscous drag. By using the material derivative method and adjoint variables for a shape sensitivity analysis, we derive the shape gradient of the design functional for the model problem.

Keywords


shape control, sensitivity analysis, optimal design, Navier–Stokes equations, drag minimization.

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References


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DOI: http://dx.doi.org/10.11568/kjm.2017.25.3.405

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