On Optimal Control of a Free Surface Flow | Zendy

Repke Sabine | Zendy; Marheineke Nicole | Zendy

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On Optimal Control of a Free Surface Flow

Author(s) -

Repke Sabine,

Marheineke Nicole

Publication year - 2009

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200910275

Subject(s) - formalism (music) , minification , optimal control , free surface , method of steepest descent , flow (mathematics) , lagrangian , surface (topology) , gradient descent , mechanics , mathematical optimization , mathematics , control theory (sociology) , materials science , computer science , physics , control (management) , geometry , art , musical , machine learning , artificial intelligence , artificial neural network , visual arts

We discuss an optimal control approach for a 2D Stokes flow with a free surface. The aim is to optimize the shape of a polymer film by adjusting the ambient pressure in a casting process. The resulting minimization problem is solved by the method of steepest descent. Numerical results will be presented. Furthermore we state the adjoint system for the Lagrangian formalism. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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