Optimal Control of Film Casting Processes

  • We present an optimal control approach for the isothermal film casting process with free surfaces described by averaged Navier-Stokes equations. We control the thickness of the film at the take-up point using the shape of the nozzle. The control goal consists in finding an even thickness profile. To achieve this goal, we minimize an appropriate cost functional. The resulting minimization problem is solved numerically by a steepest descent method. The gradient of the cost functional is approximated using the adjoint variables of the problem with fixed film width. Numerical simulations show the applicability of the proposed method.

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Metadaten
Author:Thomas Götz, K. Selvanayagam
URN (permanent link):urn:nbn:de:hbz:386-kluedo-15151
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (273)
Document Type:Preprint
Language of publication:English
Year of Completion:2008
Year of Publication:2008
Publishing Institute:Technische Universität Kaiserslautern
Tag:film casting ; free boundary; optimal control
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):65K10 Optimization and variational techniques [See also 49Mxx, 93B40]
76D27 Other free-boundary flows; Hele-Shaw flows

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