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Optimal control of fluid-structure interaction systems : the case of a rigid solid

Abstract : This report deals with problems arising in the optimal control for fluid-struc- ture interaction systems. Our model consists of a fluid described by the incompressible Navier-Stokes equations interacting with an elastically supported rigid solid. We characterize the structure of the gradient of a cost function to be minimized using a new adjoint problem. The structure of the adjoint system is related to the use of an ALE transverse field introduced in the context of the minimization of non-cylindrical eulerian functionals
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Submitted on : Tuesday, May 23, 2006 - 7:23:37 PM
Last modification on : Thursday, January 20, 2022 - 5:32:13 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:47:09 PM

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  • HAL Id : inria-00071974, version 1

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Marwan Moubachir, Jean-Paul Zolésio. Optimal control of fluid-structure interaction systems : the case of a rigid solid. [Research Report] RR-4611, INRIA. 2002. ⟨inria-00071974⟩

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