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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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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
Date of the Publication (Server):2008/01/20
Tag:film casting; free boundary; optimal control
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):65-XX NUMERICAL ANALYSIS / 65Kxx Mathematical programming, optimization and variational techniques / 65K10 Optimization and variational techniques [See also 49Mxx, 93B40]
76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Dxx Incompressible viscous fluids / 76D27 Other free-boundary flows; Hele-Shaw flows
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011